wgxli
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Curves (93)
| curve | a-invariants | rank | torsion | log N | log |Δ| | Faltings height | naive height |
|---|---|---|---|---|---|---|---|
| #846 | [1, 0, 0, -8903886886058…, 10383942932786…] |
≥ 31 | trivial | 340.29 | 394.08 | 31.64 | 405.04 |
| #848 | [1, 0, 0, -1116466441828…, 45234770608313…] |
≥ 31 | trivial | 333.08 | 400.25 | 32.21 | 412.59 |
| #752 | [1, 0, 1, -3676470571326…, 98299706024123…] |
≥ 31 | trivial | 329.44 | 414.46 | 33.26 | 423.35 |
| #3926 | [1, 0, 1, -3060769098988…, 20561800937356…] |
≥ 31 | trivial | 348.68 | 416.63 | 33.59 | 429.43 |
| #845 | [1, 0, 0, -6890645832588…, 21972625654265…] |
≥ 31 | trivial | 348.28 | 425.78 | 34.36 | 438.78 |
| #3845 | [1, 0, 0, -4214067749659…, 33298967813974…] |
≥ 31 | trivial | 338.19 | 427.88 | 34.70 | 444.21 |
| #724 | [1, 0, 0, -5001558189388…, 13572664950135…] |
≥ 31 | trivial | 386.84 | 452.90 | 36.60 | 465.45 |
| #3587 | [1, 0, 0, -4653858206784…, 12202016210404…] |
≥ 31 | trivial | 401.61 | 465.76 | 37.71 | 479.05 |
| #3593 | [1, -1, 1, -9526711476845…, 46320690718187…] |
≥ 31 | trivial | 409.53 | 487.16 | 39.31 | 495.53 |
| #582 | [1, 0, 0, -1803195243443…, 29183115887827…] |
≥ 30 | trivial | 363.21 | 437.18 | 35.25 | 448.57 |
| #684 | [1, 0, 0, -3548762533798…, 91542842811256…] |
≥ 30 | trivial | 347.86 | 441.82 | 35.55 | 450.84 |
| #728 | [1, 0, 0, -2695272471630…, 58070645430746…] |
≥ 29 | trivial | 275.32 | 357.61 | 28.54 | 367.03 |
| #692 | [1, 0, 0, -2219824741881…, 35925615261202…] |
≥ 29 | trivial | 300.13 | 371.07 | 29.65 | 380.12 |
| #356 | [0, 1, 0, -2439187674471…, 46943906433780…] |
≥ 29 | trivial | 317.89 | 383.07 | 30.73 | 394.24 |
| #693 | [0, 1, 0, -2061017599086…, 36878430076454…] |
≥ 29 | trivial | 302.56 | 397.05 | 31.87 | 407.57 |
| #385 | [1, -1, 1, -3318274966744…, 23228532820536…] |
≥ 29 | trivial | 345.65 | 430.29 | 34.75 | 443.49 |
| #729 | [1, 0, 0, -4341658947509…, 11891969904721…] |
≥ 28 | trivial | 254.73 | 331.43 | 26.36 | 340.84 |
| #613 | [0, 1, 0, -1107604775133…, 43299169350019…] |
≥ 28 | trivial | 261.42 | 333.36 | 26.55 | 343.49 |
| #364 | [1, 1, 1, -1307500861006…, 18384836769279…] |
≥ 28 | trivial | 307.81 | 367.20 | 29.41 | 378.55 |
| #395 | [1, -1, 1, -1571436138788…, 74572864524469…] |
≥ 28 | trivial | 297.51 | 375.11 | 30.05 | 385.99 |
| #391 | [1, 0, 0, -2533580830669…, 15818917486191…] |
≥ 28 | trivial | 300.43 | 390.53 | 31.33 | 401.27 |
| #363 | [1, 0, 1, -7778486110551…, 97293729940243…] |
≥ 27 | trivial | 265.17 | 327.04 | 25.98 | 335.83 |
| #614 | [1, -1, 1, -1145284361078…, 14243815623171…] |
≥ 27 | trivial | 242.80 | 340.62 | 27.14 | 350.50 |
| #390 | [0, 0, 0, -3430010766159…, 26817639167403…] |
≥ 26 | trivial | 248.04 | 296.39 | 23.43 | 305.62 |
| #542 | [0, 1, 0, -5411384853356…, 14766150358652…] |
≥ 26 | trivial | 216.77 | 303.62 | 24.07 | 313.71 |
| #393 | [1, -1, 1, -1741982199429…, 33616270057492…] |
≥ 26 | trivial | 246.56 | 315.86 | 25.04 | 324.49 |
| #622 | [0, 1, 0, -3105168035620…, 66668424497574…] |
≥ 25 | trivial | 206.83 | 270.77 | 21.48 | 284.42 |
| #540 | [1, 0, 0, -4499601412550…, 25806241660529…] |
≥ 25 | trivial | 243.28 | 279.44 | 21.98 | 287.12 |
| #541 | [1, 0, 0, -2086462968545…, 35169420298107…] |
≥ 25 | trivial | 225.17 | 287.07 | 22.68 | 297.04 |
| #351 | [1, -1, 1, -2509189159341…, 45913507617476…] |
≥ 25 | trivial | 225.72 | 287.83 | 22.74 | 297.59 |
| #548 | [0, 0, 0, -1311391639263…, 16989724982818…] |
≥ 24 | trivial | 199.31 | 258.56 | 20.29 | 268.01 |
| #623 | [0, 1, 0, -9224660970981…, 33113220943823…] |
≥ 24 | trivial | 198.06 | 263.55 | 20.74 | 273.87 |
| #389 | [1, 0, 0, -1095282788134…, 15295153953560…] |
≥ 24 | trivial | 211.82 | 272.23 | 21.42 | 281.47 |
| #378 | [0, 1, 0, -3896830274733…, 93850226586476…] |
≥ 24 | trivial | 214.70 | 272.28 | 21.56 | 285.10 |
| #624 | [1, 0, 0, -2885578293337…, 17601289199485…] |
≥ 23 | trivial | 177.43 | 240.16 | 18.76 | 249.66 |
| #539 | [1, 0, 0, -6902067553778…, 69831375895199…] |
≥ 23 | trivial | 191.07 | 251.80 | 19.93 | 266.09 |
| #377 | [0, 1, 0, -5458253078691…, 15550812048772…] |
≥ 23 | trivial | 192.36 | 259.27 | 20.49 | 272.30 |
| #625 | [1, -1, 1, -4704723986051…, 39336166825851…] |
≥ 22 | trivial | 164.25 | 196.40 | 15.26 | 209.68 |
| #538 | [0, 1, 0, -3328799528155…, 26046095202214…] |
≥ 22 | trivial | 187.77 | 227.39 | 17.68 | 236.49 |
| #376 | [1, 0, 0, -1445990013167…, 21128721995181…] |
≥ 22 | trivial | 170.96 | 227.51 | 17.85 | 240.68 |
| #4118 | [1, 0, 1, -1737195285250…, 65528379010285…] |
≥ 22 | ℤ/2ℤ | 228.67 | 391.85 | 31.36 | 400.10 |
| #4119 | [1, 0, 1, 43053899560358…, 42065719258948…] |
≥ 22 | ℤ/2ℤ | 228.67 | 396.29 | 31.71 | 403.23 |
| #578 | [1, 1, 0, -1066071946332…, 37288863716128…] |
≥ 21 | trivial | 149.77 | 168.65 | 12.78 | 177.59 |
| #4120 | [1, -1, 1, -2828222626474…, 57888571992079…] |
≥ 21 | ℤ/2ℤ | 201.75 | 364.35 | 29.42 | 380.84 |
| #4121 | [1, -1, 1, -3006113064908…, 50193876987428…] |
≥ 21 | ℤ/2ℤ | 201.75 | 372.59 | 29.76 | 381.03 |
| #4076 | [1, 0, 0, -9816912725444…, 11818799450661…] |
≥ 21 | ℤ/2ℤ | 224.63 | 378.34 | 30.42 | 391.48 |
| #4077 | [1, 0, 0, -1315443004499…, 30837963679351…] |
≥ 21 | ℤ/2ℤ | 224.63 | 384.88 | 30.76 | 392.36 |
| #4115 | [1, -1, 1, -1249826097099…, 77851438628858…] |
≥ 21 | ℤ/2ℤ | 228.81 | 398.33 | 31.89 | 406.02 |
| #4123 | [0, 1, 0, -4736178915182…, 12502716343001…] |
≥ 21 | ℤ/2ℤ | 231.09 | 397.58 | 31.99 | 410.02 |
| #4122 | [0, 1, 0, -7031654147618…, -8707579298767…] |
≥ 21 | ℤ/2ℤ | 231.09 | 403.75 | 32.34 | 411.21 |
| #4116 | [1, -1, 1, -1681059155848…, 83847739603376…] |
≥ 21 | ℤ/2ℤ | 228.81 | 399.52 | 32.24 | 413.82 |
| #631 | [1, 0, 0, -4283778575303…, 29497464752795…] |
≥ 20 | trivial | 139.02 | 186.75 | 14.29 | 195.58 |
| #532 | [0, 1, 0, -1859482717558…, 30757232937977…] |
≥ 20 | trivial | 148.79 | 201.36 | 15.64 | 213.80 |
| #4126 | [1, 1, 1, -1493417539891…, 70182813171693…] |
≥ 20 | ℤ/2ℤ | 185.51 | 316.79 | 25.32 | 330.57 |
| #4127 | [1, 1, 1, -1861324862377…, 32957342268366…] |
≥ 20 | ℤ/2ℤ | 185.51 | 323.66 | 25.66 | 331.23 |
| #4110 | [0, 1, 0, -3298135651449…, -5527823704103…] |
≥ 20 | ℤ/2ℤ | 192.29 | 339.25 | 26.96 | 346.77 |
| #4108 | [1, 0, 0, -9882697330631…, 39846882748632…] |
≥ 20 | ℤ/2ℤ | 193.61 | 344.92 | 27.43 | 352.47 |
| #4111 | [0, 1, 0, -3147444400185…, 67517856203171…] |
≥ 20 | ℤ/2ℤ | 192.29 | 341.74 | 27.31 | 353.53 |
| #4078 | [1, 0, 0, -1240660412230…, 53175884514971…] |
≥ 20 | ℤ/2ℤ | 206.39 | 342.63 | 27.53 | 357.65 |
| #4082 | [1, 0, 0, -1404603265027…, 38222115369149…] |
≥ 20 | ℤ/2ℤ | 206.39 | 350.13 | 27.88 | 358.02 |
| #4079 | [1, -1, 1, -2378435901085…, 11871098670888…] |
≥ 20 | ℤ/2ℤ | 190.60 | 350.92 | 27.96 | 359.60 |
| #4109 | [1, 0, 0, -2457618528259…, 14800284758957…] |
≥ 20 | ℤ/2ℤ | 193.61 | 346.70 | 27.77 | 359.70 |
| #4062 | [1, 0, 0, -3593975211501…, 25998463263987…] |
≥ 20 | ℤ/2ℤ | 207.96 | 349.32 | 27.93 | 360.84 |
| #4112 | [1, 0, 0, -6250228875840…, 52753452389369…] |
≥ 20 | ℤ/2ℤ | 189.09 | 353.58 | 28.19 | 362.50 |
| #4061 | [1, 0, 0, -6387039322288…, -2000682293681…] |
≥ 20 | ℤ/2ℤ | 207.96 | 355.00 | 28.28 | 362.56 |
| #4084 | [1, 0, 0, -1045076954961…, 75641504467573…] |
≥ 20 | ℤ/2ℤ | 206.93 | 356.17 | 28.38 | 364.04 |
| #4106 | [1, -1, 1, -2778651284357…, 56051416651443…] |
≥ 20 | ℤ/2ℤ | 192.44 | 355.06 | 28.42 | 366.98 |
| #4080 | [1, -1, 1, -3634658042725…, 84339127251430…] |
≥ 20 | ℤ/2ℤ | 190.60 | 350.70 | 28.31 | 367.78 |
| #4107 | [1, -1, 1, -1091761463896…, 12342076216748…] |
≥ 20 | ℤ/2ℤ | 192.44 | 361.07 | 28.77 | 368.54 |
| #4113 | [1, 0, 0, -9655018350892…, 36514844378786…] |
≥ 20 | ℤ/2ℤ | 189.09 | 353.09 | 28.54 | 370.71 |
| #4083 | [1, 0, 0, -1469442246932…, 68541572760905…] |
≥ 20 | ℤ/2ℤ | 206.93 | 357.04 | 28.73 | 371.97 |
| #802 | [1, 0, 0, -2918870306905…, 19149137396656…] |
≥ 20 | ℤ/2ℤ | 208.23 | 361.21 | 28.97 | 374.03 |
| #4124 | [1, 0, 0, -3008493699994…, 20084977696520…] |
≥ 20 | ℤ/2ℤ | 184.41 | 353.51 | 28.74 | 374.12 |
| #4125 | [1, 0, 0, -3032638279143…, 19746203858984…] |
≥ 20 | ℤ/2ℤ | 184.41 | 363.81 | 29.09 | 374.15 |
| #4063 | [1, -1, 1, -3611038765921…, 22818917951506…] |
≥ 20 | ℤ/2ℤ | 201.67 | 365.84 | 29.21 | 374.67 |
| #4075 | [1, 0, 0, -4934750083481…, 14866495631511…] |
≥ 20 | ℤ/2ℤ | 199.48 | 368.02 | 29.36 | 375.61 |
| #4059 | [1, 0, 0, -3251469747483…, 49107828061327…] |
≥ 20 | ℤ/2ℤ | 209.58 | 373.17 | 29.80 | 381.26 |
| #4064 | [1, -1, 1, -5556504497393…, 15941909013456…] |
≥ 20 | ℤ/2ℤ | 201.67 | 365.46 | 29.56 | 382.87 |
| #4074 | [1, 0, 0, -6373524210489…, 19568234964109…] |
≥ 20 | ℤ/2ℤ | 199.48 | 369.44 | 29.71 | 383.28 |
| #4072 | [1, -1, 1, -8676766356775…, 31108845308574…] |
≥ 20 | ℤ/2ℤ | 195.26 | 364.54 | 29.61 | 384.21 |
| #4073 | [1, -1, 1, -8565250670166…, 31947384642773…] |
≥ 20 | ℤ/2ℤ | 195.26 | 374.37 | 29.96 | 384.26 |
| #4070 | [1, 0, 1, -4413954289751…, 32412073255594…] |
≥ 20 | ℤ/2ℤ | 209.05 | 376.70 | 30.08 | 384.29 |
| #4060 | [1, 0, 0, 89321413964676…, 33020401925829…] |
≥ 20 | ℤ/2ℤ | 209.58 | 377.55 | 30.15 | 384.33 |
| #4071 | [1, 0, 1, -1028059201791…, 12668424643103…] |
≥ 20 | ℤ/2ℤ | 209.05 | 378.36 | 30.42 | 391.62 |
| #3594 | [0, 1, 0, -6139623020352…, 58644442303563…] |
≥ 19 | trivial | 130.22 | 169.60 | 13.03 | 182.85 |
| #718 | [1, 0, 0, -4168911634456…, 10390898261941…] |
≥ 19 | trivial | 136.09 | 203.63 | 15.83 | 216.23 |
| #598 | [1, -1, 1, -6229212651440…, 18987511484414…] |
≥ 19 | trivial | 140.86 | 218.80 | 17.09 | 231.25 |
| #3589 | [0, 1, 0, -4301363910709…, 10878063415201…] |
≥ 18 | trivial | 120.29 | 175.62 | 13.52 | 188.69 |
| #3544 | [0, -1, 0, -5405031090996…, 48199423486082…] |
≥ 16 | ℤ/2ℤ | 119.29 | 197.66 | 15.33 | 210.09 |
| #3546 | [0, -1, 0, -2852685544659…, 93841331888016…] |
≥ 16 | ℤ/2ℤ | 119.29 | 203.92 | 15.68 | 211.42 |
| #3529 | [1, 1, 1, -9713478764873…, 13934495013154…] |
≥ 16 | ℤ/2ℤ | 126.76 | 224.97 | 17.44 | 232.57 |
| #3527 | [1, 1, 1, 35625522807929…, 10705546828242…] |
≥ 16 | ℤ/2ℤ | 126.76 | 229.18 | 17.79 | 236.47 |
| #803 | [0, -1, 0, -8932110013773…, 32231848935325…] |
≥ 13 | ℤ/4ℤ | 154.65 | 372.70 | 29.88 | 384.29 |
Contributions to other curves (2)
| curve | a-invariants | contribution | rank | when |
|---|---|---|---|---|
| #3919 | [0, -1, 0, -331829663577069642438909820714004014845529433, 2326080816991724173017818406616898984773103039393542328536177098237] |
recorded the primes of bad reduction | 28 | |
| #1393 | [1, 0, 0, -11532891443929352092867911758070963219260449885, 477129965035818985427866235650134910745513387031938136016451076770225] |
recorded the primes of bad reduction | 28 |