David Renshaw
Member since 2026-05-27 21:41:04 UTC.
About
I created this website.
Curves (149)
| curve | a-invariants | rank | log N | naive height | Faltings height | log |Δ| |
|---|---|---|---|---|---|---|
| #12 | [1, 0, 0, -2700618324163…, 55258058551342…] |
≥ 29 | 343.72 | 436.01 | 34.24 | 425.44 |
| #11 | [1, -1, 1, -2006776241557…, 34481611795030…] |
≥ 28 | 325.90 | 393.63 | 30.62 | 381.20 |
| #67 | [1, 0, 0, -5567114686524…, 16198189532278…] |
≥ 27 | 287.01 | 355.27 | 27.48 | 344.16 |
| #66 | [1, 0, 0, -2715681648014…, 16735233520457…] |
≥ 26 | 247.86 | 318.55 | 24.46 | 308.22 |
| #65 | [1, 0, 0, -1222583105876…, 52396744720020…] |
≥ 25 | 229.19 | 302.36 | 23.05 | 290.63 |
| #10 | [1, 0, 1, -1200398220369…, 50422499248491…] |
≥ 24 | 219.93 | 274.66 | 20.71 | 262.35 |
| #9 | [1, 0, 1, -1925296640867…, 32685500727716…] |
≥ 23 | 205.06 | 269.18 | 20.27 | 257.15 |
| #8 | [1, 0, 1, -9402995177763…, 10707363070719…] |
≥ 22 | 182.72 | 239.38 | 17.87 | 229.26 |
| #394 | [1, 0, 0, -3548030896746…, 25581945458922…] |
≥ 21 | 166.25 | 236.46 | 17.54 | 224.49 |
| #74 | [1, 1, 1, -2158437724224…, -1947436127778…] |
≥ 21 | 196.68 | 255.69 | 19.36 | 247.94 |
| #275 | [1, 0, 1, -2034488389107…, 35847670110541…] |
≥ 20 | 162.64 | 200.28 | 14.57 | 189.29 |
| #262 | [1, -1, 1, -2106587108001…, 11928388164896…] |
≥ 20 | 154.61 | 207.29 | 15.15 | 196.21 |
| #245 | [1, -1, 1, -2588041147235…, 16066636977479…] |
≥ 20 | 150.67 | 207.89 | 15.13 | 195.16 |
| #243 | [1, 0, 1, -7911987478128…, 29167873598527…] |
≥ 20 | 163.70 | 218.29 | 16.15 | 208.85 |
| #92 | [1, 1, 1, -4437412060110…, 35868422168221…] |
≥ 20 | 159.93 | 223.32 | 16.43 | 210.76 |
| #7 | [1, 0, 0, -4310929807663…, 51562835553666…] |
≥ 20 | 170.09 | 237.85 | 17.85 | 229.81 |
| #40 | [1, -1, 1, -2445376733363…, 96171018205318…] |
≥ 20 | 216.79 | 401.13 | 31.46 | 393.12 |
| #240 | [1, -1, 0, -2901585273794…, 19500338179289…] |
≥ 19 | 146.55 | 166.83 | 11.81 | 156.34 |
| #90 | [1, -1, 1, -1049634928262…, 12127108227154…] |
≥ 19 | 152.53 | 198.27 | 14.48 | 188.86 |
| #6 | [1, -1, 1, -2063758701246…, 32838647793306…] |
≥ 19 | 149.99 | 200.30 | 14.66 | 191.08 |
| #39 | [1, -1, 1, 31368015812338…, 30203880269856…] |
≥ 19 | 192.85 | 342.70 | 26.62 | 335.25 |
| #241 | [1, 1, 1, -3002323607176…, 63157734310826…] |
≥ 18 | 137.34 | 159.97 | 11.14 | 147.24 |
| #98 | [1, -1, 1, -8117883423458…, 30875068238268…] |
≥ 18 | 142.52 | 190.77 | 13.86 | 181.54 |
| #87 | [1, 1, 1, -1280679737602…, 55128352431001…] |
≥ 18 | 143.73 | 191.96 | 13.87 | 180.75 |
| #94 | [1, 0, 0, -5275155636558…, 46558488291896…] |
≥ 18 | 141.91 | 210.02 | 15.29 | 196.83 |
| #73 | [1, 0, 0, -1310927671383…, 11513825206543…] |
≥ 18 | 164.54 | 295.64 | 22.68 | 287.68 |
| #63 | [1, 0, 0, -1718612993735…, 44567762612833…] |
≥ 18 | 149.80 | 303.36 | 23.33 | 295.60 |
| #38 | [1, 0, 0, -2617596009270…, 51069381476131…] |
≥ 18 | 189.76 | 352.98 | 27.28 | 341.53 |
| #140 | [1, 0, 0, -3594058853231…, 71746738560038…] |
≥ 17 | 127.52 | 160.51 | 11.37 | 151.68 |
| #96 | [1, 0, 1, -3764690650150…, 89019354183527…] |
≥ 17 | 134.50 | 160.66 | 11.17 | 147.21 |
| #97 | [1, 0, 0, -1036323527324…, 42020398420720…] |
≥ 17 | 113.21 | 163.76 | 11.57 | 153.59 |
| #85 | [0, 0, 0, -1230093728114…, 17818691304061…] |
≥ 17 | 124.73 | 164.21 | 11.74 | 156.63 |
| #62 | [0, 0, 0, 0, -9088007366299…] |
≥ 17 | 155.36 | 165.30 | 11.83 | 157.85 |
| #5 | [0, 1, 0, -1847801808769…, 96678875493491…] |
≥ 17 | 136.21 | 206.87 | 14.81 | 186.20 |
| #37 | [1, 0, 1, -9570894890557…, 35159825297065…] |
≥ 17 | 161.57 | 301.61 | 23.04 | 291.12 |
| #104 | [0, 0, 0, -2877601677369…, 19025737102846…] |
≥ 16 | 107.50 | 125.33 | 8.32 | 114.18 |
| #91 | [1, 1, 0, -6540850922519…, -1851537704759…] |
≥ 16 | 123.84 | 141.59 | 9.86 | 134.05 |
| #64 | [0, 0, 1, 0, 18128458663461…] |
≥ 16 | 136.20 | 143.66 | 10.03 | 136.20 |
| #46 | [0, 0, 1, 0, -4894683839134…] |
≥ 16 | 136.20 | 150.25 | 10.58 | 142.79 |
| #93 | [1, 0, 0, -2888333461706…, 69181091953326…] |
≥ 16 | 118.19 | 160.15 | 11.33 | 151.33 |
| #86 | [1, 0, 0, -5284128322984…, -1928191506104…] |
≥ 15 | 94.13 | 127.13 | 8.66 | 119.68 |
| #68 | [0, 0, 0, 0, 46974552981863…] |
≥ 15 | 122.91 | 131.75 | 9.04 | 124.29 |
| #4 | [1, 0, 0, -2098119445112…, 26653992551590…] |
≥ 15 | 129.44 | 214.16 | 15.87 | 205.97 |
| #36 | [1, 0, 1, 34318214642441…, 31843768958141…] |
≥ 15 | 147.23 | 278.33 | 21.25 | 270.88 |
| #103 | [1, -1, 0, -277442745099, 47682424180908…] |
≥ 14 | 76.85 | 90.66 | 5.55 | 81.94 |
| #3 | [0, 0, 1, -2248232106757, 13294720913796…] |
≥ 14 | 86.48 | 96.99 | 5.99 | 86.48 |
| #35 | [0, 1, 0, -1692310759026…, 83937939884098…] |
≥ 14 | 133.06 | 220.42 | 16.23 | 208.99 |
| #89 | [0, 0, 0, -6529826212, 19599566294890…] |
≥ 13 | 65.81 | 79.41 | 4.54 | 69.28 |
| #106 | [0, 0, 0, -77547091492, 64550111722388…] |
≥ 13 | 69.91 | 86.84 | 5.25 | 78.46 |
| #61 | [0, 0, 1, 0, 75255852424198…] |
≥ 13 | 87.29 | 95.85 | 6.04 | 88.39 |
| #51 | [0, 0, 0, 90389647280869…, 0] |
≥ 13 | 123.00 | 190.91 | 13.98 | 183.46 |
| #52 | [0, 0, 0, -2827529113871…, 0] |
≥ 13 | 127.69 | 201.24 | 14.84 | 193.79 |
| #45 | [1, 0, 0, -5607159337021…, 52994280301716…] |
≥ 13 | 127.97 | 279.35 | 21.20 | 269.24 |
| #88 | [0, 0, 0, -932733487, 11052354147250] |
≥ 12 | 58.53 | 73.59 | 3.99 | 61.99 |
| #1 | [0, 0, 1, -6349808647, 19314634691103…] |
≥ 12 | 67.77 | 79.33 | 4.47 | 67.77 |
| #105 | [1, -1, 1, -46496231372, 38274332589385…] |
≥ 12 | 62.40 | 85.30 | 4.96 | 73.73 |
| #50 | [0, 0, 1, -16359067, 26274178986] |
≥ 11 | 51.25 | 61.51 | 3.04 | 51.25 |
| #138 | [1, -1, 0, -34125664, 69523358164] |
≥ 11 | 53.78 | 63.65 | 3.27 | 54.48 |
| #137 | [1, -1, 0, -41032399, 106082399089] |
≥ 11 | 53.75 | 64.30 | 3.29 | 54.44 |
| #136 | [1, -1, 0, -38099014, 115877816224] |
≥ 11 | 52.55 | 64.47 | 3.38 | 56.08 |
| #139 | [1, -1, 0, -56880994, 168642718624] |
≥ 11 | 53.89 | 65.23 | 3.33 | 54.58 |
| #33 | [0, 1, 0, -1033620669162…, 40420462114230…] |
≥ 11 | 82.27 | 136.05 | 9.10 | 121.97 |
| #34 | [0, 1, 0, -1153065301657…, 30495001386492…] |
≥ 11 | 94.87 | 150.20 | 10.55 | 142.21 |
| #60 | [1, -1, 0, -1536664, 648294124] |
≥ 10 | 44.68 | 54.35 | 2.51 | 45.38 |
| #82 | [0, 0, 1, -1788817, 843180666] |
≥ 10 | 45.53 | 54.80 | 2.53 | 45.53 |
| #83 | [0, 1, 1, -1856500, 1072474760] |
≥ 10 | 45.92 | 55.11 | 2.56 | 45.92 |
| #84 | [0, 0, 1, -2438527, 1545098346] |
≥ 10 | 46.08 | 55.84 | 2.59 | 46.08 |
| #101 | [1, -1, 0, -4513546, 3716615296] |
≥ 10 | 45.12 | 57.59 | 2.65 | 45.81 |
| #99 | [1, -1, 0, -10194109, 12647638369] |
≥ 10 | 44.54 | 60.04 | 2.87 | 48.60 |
| #49 | [0, 0, 1, -16312387, 25970162646] |
≥ 10 | 43.77 | 61.48 | 3.03 | 50.96 |
| #100 | [0, 0, 1, -21078967, 35688990786] |
≥ 10 | 44.57 | 62.20 | 3.11 | 52.25 |
| #31 | [1, 0, 0, -2060795223235…, 10378603920734…] |
≥ 10 | 74.56 | 138.12 | 9.48 | 128.89 |
| #32 | [1, 0, 0, -3414948705808…, 14626404709123…] |
≥ 10 | 82.82 | 139.64 | 9.68 | 131.73 |
| #59 | [0, 0, 1, -167419, 30261330] |
≥ 9 | 39.10 | 47.97 | 1.98 | 39.10 |
| #48 | [1, -1, 0, -135004, 97151644] |
≥ 9 | 38.01 | 50.31 | 2.25 | 42.81 |
| #80 | [0, 0, 1, -402157, 96291336] |
≥ 9 | 39.60 | 50.33 | 2.09 | 39.60 |
| #79 | [0, 0, 1, -514507, 140806716] |
≥ 9 | 39.56 | 51.07 | 2.11 | 39.56 |
| #132 | [1, -1, 0, -613069, 98885089] |
≥ 9 | 38.31 | 51.59 | 2.35 | 43.80 |
| #81 | [0, 0, 1, -826609, 289956150] |
≥ 9 | 39.69 | 52.49 | 2.18 | 39.69 |
| #135 | [1, 0, 1, -1076185, 496031340] |
≥ 9 | 38.89 | 53.57 | 2.45 | 44.73 |
| #134 | [1, 0, 1, -1493028, 701820182] |
≥ 9 | 38.82 | 54.26 | 2.26 | 39.51 |
| #133 | [0, 0, 1, -3835819, 2889890730] |
≥ 9 | 38.68 | 57.09 | 2.51 | 42.89 |
| #30 | [1, -1, 1, -1608154463, 25555312501831] |
≥ 9 | 50.62 | 75.27 | 4.18 | 64.94 |
| #58 | [0, 1, 1, -16440, 1394010] |
≥ 8 | 33.96 | 41.83 | 1.52 | 33.96 |
| #76 | [0, 0, 1, -23737, 960366] |
≥ 8 | 33.76 | 41.84 | 1.52 | 33.76 |
| #75 | [0, 1, 1, -23846, 1022562] |
≥ 8 | 33.64 | 41.85 | 1.51 | 33.64 |
| #258 | [1, -1, 1, -10479, 1611834] |
≥ 8 | 34.58 | 42.11 | 1.56 | 34.58 |
| #259 | [1, -1, 0, -27019, 779689] |
≥ 8 | 33.85 | 42.23 | 1.57 | 34.54 |
| #260 | [1, -1, 0, -27589, 1109929] |
≥ 8 | 33.65 | 42.29 | 1.56 | 34.34 |
| #261 | [1, -1, 0, -14926, 2493976] |
≥ 8 | 34.75 | 42.98 | 1.64 | 35.44 |
| #130 | [1, -1, 0, -71899, 5522449] |
≥ 8 | 33.38 | 45.16 | 1.78 | 36.91 |
| #47 | [1, -1, 0, -106384, 13075804] |
≥ 8 | 33.15 | 46.34 | 1.76 | 35.79 |
| #131 | [1, -1, 0, -124294, 14418784] |
≥ 8 | 33.39 | 46.80 | 1.89 | 38.05 |
| #78 | [1, -1, 0, -201814, 34925104] |
≥ 8 | 33.40 | 48.26 | 1.78 | 34.10 |
| #77 | [1, -1, 0, -222751, 40537273] |
≥ 8 | 33.31 | 48.56 | 1.79 | 34.00 |
| #129 | [0, 0, 0, -481663, 128212738] |
≥ 8 | 33.38 | 50.87 | 2.06 | 38.46 |
| #29 | [1, -1, 1, -6494556985832, 63514020689002…] |
≥ 8 | 59.54 | 100.12 | 6.16 | 87.55 |
| #57 | [0, 0, 1, -1387, 68046] |
≥ 7 | 28.24 | 35.78 | 1.04 | 28.24 |
| #124 | [0, 0, 1, -5707, 151416] |
≥ 7 | 28.32 | 37.56 | 1.10 | 28.32 |
| #125 | [1, 0, 1, -5983, 164022] |
≥ 7 | 27.64 | 37.70 | 1.10 | 28.33 |
| #44 | [0, 0, 0, -10012, 346900] |
≥ 7 | 26.67 | 39.25 | 1.24 | 30.14 |
| #126 | [1, 0, 1, -14505, 667472] |
≥ 7 | 27.70 | 40.36 | 1.20 | 28.39 |
| #120 | [1, 0, 1, -14733, 694232] |
≥ 7 | 27.01 | 40.43 | 1.24 | 29.09 |
| #127 | [0, 0, 1, -15577, 744876] |
≥ 7 | 28.42 | 40.57 | 1.21 | 28.42 |
| #123 | [1, -1, 0, -18664, 958204] |
≥ 7 | 27.52 | 41.12 | 1.34 | 30.78 |
| #121 | [0, 0, 1, -36673, 2704878] |
≥ 7 | 27.43 | 43.14 | 1.35 | 29.04 |
| #122 | [1, -1, 0, -92656, 10865908] |
≥ 7 | 27.48 | 45.92 | 1.61 | 32.43 |
| #128 | [1, -1, 0, -22221159, 40791791609] |
≥ 7 | 30.20 | 62.39 | 3.07 | 51.15 |
| #26 | [0, -1, 0, -1485019900716, 65825200707202…] |
≥ 7 | 55.54 | 95.69 | 5.92 | 86.00 |
| #27 | [0, -1, 0, -3225667994796, 22059166727085…] |
≥ 7 | 56.26 | 98.02 | 6.04 | 86.72 |
| #28 | [0, -1, 0, -3289744045996, 22729513134882…] |
≥ 7 | 56.28 | 98.08 | 6.04 | 86.74 |
| #56 | [0, 0, 1, -277, 4566] |
≥ 6 | 22.76 | 30.38 | 0.58 | 22.76 |
| #117 | [0, 0, 1, -379, 5172] |
≥ 6 | 22.81 | 30.63 | 0.59 | 22.81 |
| #119 | [0, 1, 1, -390, 5460] |
≥ 6 | 22.99 | 30.78 | 0.61 | 22.99 |
| #118 | [0, 0, 1, -889, 9150] |
≥ 6 | 22.90 | 31.98 | 0.64 | 22.90 |
| #113 | [1, -1, 0, -2326, 43456] |
≥ 6 | 22.47 | 34.87 | 0.76 | 23.16 |
| #43 | [1, 1, 0, -2582, 48720] |
≥ 6 | 22.37 | 35.18 | 0.81 | 24.16 |
| #112 | [0, 0, 1, -7077, 235516] |
≥ 6 | 22.38 | 38.26 | 1.10 | 27.88 |
| #116 | [1, 0, 0, -9227, 340354] |
≥ 6 | 22.64 | 39.00 | 0.93 | 22.64 |
| #114 | [1, -1, 0, -16249, 799549] |
≥ 6 | 22.61 | 40.70 | 1.20 | 27.83 |
| #115 | [1, -1, 1, -63147, 6081915] |
≥ 6 | 22.62 | 44.77 | 1.58 | 33.02 |
| #16 | [0, -1, 0, -23308665, 43082703225] |
≥ 6 | 29.68 | 62.51 | 3.05 | 50.54 |
| #20 | [0, -1, 0, -122985156, 232744673700] |
≥ 6 | 37.83 | 67.50 | 3.68 | 59.82 |
| #17 | [0, -1, 0, -832328021, 9183124281870] |
≥ 6 | 41.51 | 73.23 | 3.95 | 61.43 |
| #21 | [0, -1, 0, -852210116, 9511510378980] |
≥ 6 | 36.17 | 73.30 | 3.96 | 61.54 |
| #22 | [0, -1, 0, -1664597956, 26095909440100] |
≥ 6 | 40.19 | 75.31 | 4.07 | 62.19 |
| #23 | [0, -1, 0, -1980651076, 33887665543876] |
≥ 6 | 40.36 | 75.83 | 4.10 | 62.36 |
| #18 | [0, -1, 0, -2069247973, 36191779888342] |
≥ 6 | 37.60 | 75.96 | 4.11 | 62.36 |
| #24 | [0, -1, 0, -2388994756, 44907381038500] |
≥ 6 | 40.54 | 76.40 | 4.13 | 62.54 |
| #25 | [0, -1, 0, -3002115396, 63280268148996] |
≥ 6 | 40.77 | 77.08 | 4.17 | 62.77 |
| #19 | [0, -1, 0, -3272444581, 72023792282806] |
≥ 6 | 42.91 | 77.34 | 4.19 | 62.83 |
| #55 | [1, 0, 0, -22, 219] |
≥ 5 | 16.83 | 24.32 | 0.08 | 16.83 |
| #41 | [0, 0, 1, -79, 342] |
≥ 5 | 16.76 | 25.19 | 0.11 | 16.76 |
| #110 | [0, 1, 1, -100, 110] |
≥ 5 | 17.84 | 25.44 | 0.18 | 17.84 |
| #111 | [0, 0, 1, -139, 732] |
≥ 5 | 17.91 | 26.72 | 0.21 | 17.91 |
| #107 | [0, 0, 1, -247, 1476] |
≥ 5 | 16.95 | 28.14 | 0.22 | 16.95 |
| #108 | [1, -1, 0, -415, 3481] |
≥ 5 | 17.36 | 29.77 | 0.40 | 19.66 |
| #109 | [0, 0, 0, -532, 4420] |
≥ 5 | 17.44 | 30.44 | 0.49 | 20.90 |
| #72 | [0, 0, 1, -7, 36] |
≥ 4 | 13.21 | 20.70 | -0.22 | 13.21 |
| #71 | [0, -1, 0, -75, -134] |
≥ 4 | 16.61 | 24.58 | 0.09 | 16.61 |
| #54 | [1, -1, 0, -79, 289] |
≥ 4 | 12.36 | 24.73 | -0.09 | 13.06 |
| #14 | [0, -1, 0, -24649, 1355209] |
≥ 4 | 16.40 | 41.95 | 1.47 | 32.79 |
| #15 | [0, 0, 0, -856967076, 0] |
≥ 4 | 23.34 | 73.32 | 4.18 | 65.87 |
| #70 | [1, -1, 1, -6, 0] |
≥ 3 | 9.32 | 16.83 | -0.53 | 9.32 |
| #53 | [0, 0, 1, -7, 6] |
≥ 3 | 8.53 | 17.45 | -0.56 | 8.53 |
| #13 | [0, 0, 0, -82, 0] |
≥ 3 | 12.97 | 24.83 | 0.14 | 17.38 |
| #69 | [1, 0, 0, 0, 1] |
≥ 2 | 6.07 | 13.53 | -0.82 | 6.07 |
| #2 | [0, 1, 1, -2, 0] |
≥ 2 | 5.96 | 14.16 | -0.80 | 5.96 |
| #42 | [0, 0, 1, -1, 0] |
≥ 1 | 3.61 | 11.61 | -1.00 | 3.61 |