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Curves with torsion ℤ/5ℤ

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showing 128 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1215 [1, 0, 0, -1271376476514…, 24813171776401…] ≥ 9 ℤ/5ℤ 76.48 238.14 18.52 245.60
#1916 [0, -1, 1, 15906368950552…, 12016400191374…] ≥ 8 ℤ/5ℤ 59.51 181.47 13.80 188.89
#1917 [0, 1, 1, -4340490396858…, 11058308976529…] ≥ 8 ℤ/5ℤ 59.69 176.59 13.56 188.72
#1122 [1, 1, 1, -2572045081654…, 17486735310079…] ≥ 8 ℤ/5ℤ 61.32 185.05 14.16 194.24
#1915 [1, 0, 0, -1346404541224…, 19318553476047…] ≥ 8 ℤ/5ℤ 63.44 188.12 14.47 199.05
#3044 [1, 0, 0, -2035100211022…, 11192785968732…] ≥ 8 ℤ/5ℤ 67.70 207.80 16.21 220.98
#3042 [0, 1, 1, -1805632198953…, 93716432305994…] ≥ 8 ℤ/5ℤ 69.16 208.21 16.21 220.63
#3033 [0, 1, 1, -5728025996240…, 52779938007881…] ≥ 8 ℤ/5ℤ 71.58 222.89 17.55 237.90
#3031 [1, 0, 0, -2658580114929…, 59129117530968…] ≥ 8 ℤ/5ℤ 72.52 219.87 17.05 228.92
#3021 [1, 0, 0, -2442256350737…, 47380375332133…] ≥ 8 ℤ/5ℤ 79.75 245.40 19.24 256.10
#1124 [1, 0, 0, -4401046837403…, 11324706812339…] ≥ 7 ℤ/5ℤ 49.93 149.50 11.28 161.14
#1123 [0, 1, 1, 21684687816792…, 53632363333048…] ≥ 7 ℤ/5ℤ 50.72 156.79 11.74 164.25
#2935 [1, 0, 0, -1042470692062…, 13077998295796…] ≥ 7 ℤ/5ℤ 52.74 159.20 12.08 170.64
#3707 [1, 0, 0, -7113973724879…, 73035039998477…] ≥ 7 ℤ/5ℤ 53.53 166.24 12.94 183.29
#2931 [1, 0, 0, -1017843352326…, 58399713271671…] ≥ 7 ℤ/5ℤ 55.88 170.17 12.88 178.23
#2927 [1, 0, 0, -1508961239341…, 84440312438645…] ≥ 7 ℤ/5ℤ 59.47 184.08 14.06 192.79
#2924 [1, 0, 0, -2790211362612…, 17933870385967…] ≥ 7 ℤ/5ℤ 59.49 179.42 13.92 194.29
#2921 [1, 0, 0, 50627101565668…, 31560876466833…] ≥ 7 ℤ/5ℤ 59.85 181.77 13.84 189.17
#2912 [1, 0, 0, -5978722118932…, 69226535066199…] ≥ 7 ℤ/5ℤ 60.22 188.46 14.42 196.99
#1688 [1, 0, 0, -3278161153320…, 20821534996006…] ≥ 6 ℤ/5ℤ 36.47 113.33 8.13 120.91
#1691 [0, 1, 1, -4681323863817…, 12366187602341…] ≥ 6 ℤ/5ℤ 37.73 107.32 7.80 119.87
#1698 [0, 1, 1, -1032906744487…, 12777744690738…] ≥ 6 ℤ/5ℤ 38.45 125.88 9.58 142.96
#1702 [1, 1, 1, -6463754804116…, 63254442519792…] ≥ 6 ℤ/5ℤ 38.75 124.56 9.46 141.55
#1705 [1, 0, 0, -7352306066465…, 79344908534204…] ≥ 6 ℤ/5ℤ 39.21 131.81 9.75 142.01
#1709 [1, 1, 1, -8342262655208…, 29336911752170…] ≥ 6 ℤ/5ℤ 41.26 134.43 10.17 149.23
#1715 [1, 1, 1, -9041002229749…, 11136376154192…] ≥ 6 ℤ/5ℤ 41.41 133.08 9.84 142.68
#1719 [1, 1, 1, -1833914995202…, 30228255651982…] ≥ 6 ℤ/5ℤ 41.45 126.28 9.68 144.68
#1723 [1, 1, 1, -5209337239166…, 14929970264894…] ≥ 6 ℤ/5ℤ 41.67 123.80 9.09 134.06
#1728 [1, 0, 0, -4651697237275…, 12542475830846…] ≥ 6 ℤ/5ℤ 41.69 137.12 10.20 147.53
#1097 [0, 1, 1, -1712371016075…, 88578795753569…] ≥ 6 ℤ/5ℤ 42.01 127.21 9.38 137.62
#1686 [0, 1, 1, -3327469167566…, 73881263922133…] ≥ 5 ℤ/5ℤ 29.02 88.00 6.42 105.02
#1657 [0, 1, 1, 755369674600, 11084370528179…] ≥ 5 ℤ/5ℤ 30.05 89.22 6.12 96.62
#1696 [1, 0, 0, -6846866529085…, 68958205059594…] ≥ 5 ℤ/5ℤ 30.80 91.26 7.02 114.09
#1660 [0, 1, 1, -3640477661483…, 61515189014782…] ≥ 5 ℤ/5ℤ 31.20 97.08 6.80 105.29
#1662 [1, 0, 0, -8232229763615, 11525150347009…] ≥ 5 ℤ/5ℤ 31.53 92.88 6.45 101.31
#1663 [1, 1, 1, -1216697816095…, 52160863313454…] ≥ 5 ℤ/5ℤ 31.61 97.53 6.94 108.93
#1713 [0, 1, 1, -4814036578756…, 12858968512756…] ≥ 5 ℤ/5ℤ 31.80 104.74 7.72 119.94
#1717 [1, 1, 1, -5191027236542…, 45522706310750…] ≥ 5 ℤ/5ℤ 32.12 97.18 7.97 127.08
#1721 [0, 1, 1, -1335496632696…, 19774770656022…] ≥ 5 ℤ/5ℤ 32.13 120.23 8.77 130.02
#1664 [1, 0, 0, -3798978567911…, 24112271720163…] ≥ 5 ℤ/5ℤ 32.15 117.43 8.51 126.14
#1656 [0, 1, 1, -1634513831906…, 80437273409308…] ≥ 5 ℤ/5ℤ 32.35 93.32 6.83 109.80
#1665 [1, 0, 0, -3206763812089…, 73392260033241…] ≥ 5 ℤ/5ℤ 34.51 108.99 7.84 118.82
#1655 [1, 0, 0, -7881631206568…, 26946113704729…] ≥ 5 ℤ/5ℤ 34.64 107.09 7.87 121.42
#1658 [1, 0, 0, -7262742615729…, 23822867879285…] ≥ 5 ℤ/5ℤ 35.27 103.05 7.73 121.18
#1659 [1, 1, 1, -5786477193920…, 53576205605333…] ≥ 5 ℤ/5ℤ 35.32 108.57 8.23 127.40
#1605 [0, -1, 1, -476052030, 4009456291878] ≥ 4 ℤ/5ℤ 21.61 58.94 3.78 71.56
#1210 [1, 1, 1, -223521435, 1911696935401] ≥ 4 ℤ/5ℤ 21.62 62.02 3.87 70.08
#3688 [1, 0, 0, -24519319585, 14777727907579…] ≥ 4 ℤ/5ℤ 22.14 64.54 4.56 83.38
#3689 [1, 0, 0, -978101465, 17219146660181…] ≥ 4 ℤ/5ℤ 22.19 71.62 4.65 79.08
#1693 [1, 0, 0, -22835855165, 13306949869935…] ≥ 4 ℤ/5ℤ 22.89 70.12 4.73 83.17
#3690 [1, 0, 0, -21479000230, 12149517581644…] ≥ 4 ℤ/5ℤ 22.93 70.33 4.73 82.99
#1254 [0, -1, 1, -18650787970, 98038479510197…] ≥ 4 ℤ/5ℤ 23.01 60.26 4.41 82.56
#1703 [0, 1, 1, -48935116240, 41655680294477…] ≥ 4 ℤ/5ℤ 23.06 70.35 4.84 85.45
#3691 [0, 1, 1, -4510044910, 11791773975021…] ≥ 4 ℤ/5ℤ 23.12 67.08 4.40 78.33
#1706 [1, 0, 0, -336509320475, 78387368402386…] ≥ 4 ℤ/5ℤ 23.36 81.36 5.54 91.32
#1711 [1, 1, 1, -121732199540, 16414232719649…] ≥ 4 ℤ/5ℤ 24.30 75.93 5.18 88.20
#1250 [1, 1, 1, -105079046100, 13116959192846…] ≥ 4 ℤ/5ℤ 24.50 73.36 5.06 87.75
#1606 [1, 1, 1, -276349027940, 55912600038925…] ≥ 4 ℤ/5ℤ 24.67 74.10 5.23 90.65
#1725 [1, 0, 0, -197121372350, 33529918474699…] ≥ 4 ℤ/5ℤ 24.74 77.50 5.30 89.63
#1253 [0, -1, 1, -193153379648, 32356411177781…] ≥ 4 ℤ/5ℤ 25.49 78.17 5.33 89.57
#1603 [1, 0, 0, -14302080520, 15696669816464…] ≥ 4 ℤ/5ℤ 25.50 75.85 5.01 83.50
#1604 [1, 0, 0, -424296300455, 10626302936938…] ≥ 4 ℤ/5ℤ 25.84 78.34 5.44 91.93
#1258 [1, 1, 1, -905217443730, 33149480055960…] ≥ 4 ℤ/5ℤ 26.44 73.16 5.41 94.21
#1260 [0, -1, 1, 9168180173560, -7140479802280…] ≥ 4 ℤ/5ℤ 28.28 93.70 6.50 101.15
#1252 [0, -1, 1, -2232311847487…, 40594673931496…] ≥ 4 ℤ/5ℤ 28.45 86.52 6.31 103.82
#1259 [0, -1, 1, -1631601114703…, 25367002172345…] ≥ 4 ℤ/5ℤ 29.71 80.16 6.09 102.88
#1255 [0, -1, 1, -8180435782450, 90054654817520…] ≥ 4 ℤ/5ℤ 29.92 82.98 6.04 100.81
#1256 [0, -1, 1, -5090567035579…, 44207645799709…] ≥ 4 ℤ/5ℤ 37.74 103.82 8.09 127.02
#1257 [0, 1, 1, -9165844738133…, 10680898026770…] ≥ 4 ℤ/5ℤ 37.94 108.95 8.32 128.78
#1533 [0, -1, 1, -1195398, 1558572798] ≥ 3 ℤ/5ℤ 14.12 48.29 2.71 55.86
#1534 [1, 0, 0, -7946395, 8621052881] ≥ 3 ℤ/5ℤ 14.35 41.80 2.59 59.28
#1186 [0, 1, 1, -552000, 220315304] ≥ 3 ℤ/5ℤ 14.63 43.77 2.35 51.95
#1185 [1, 1, 1, -270010, 59128551] ≥ 3 ℤ/5ℤ 15.09 40.08 2.08 49.32
#1535 [0, 1, 1, -17745530, 24226318256] ≥ 3 ℤ/5ℤ 15.45 53.00 3.14 61.69
#1536 [0, -1, 1, -192320898, 1026632366298] ≥ 3 ℤ/5ℤ 15.61 40.12 3.14 68.84
#1537 [0, -1, 1, -2155250, 1365472656] ≥ 3 ℤ/5ℤ 15.62 46.55 2.61 55.59
#1538 [1, 0, 0, -1858170, 3058762212] ≥ 3 ℤ/5ℤ 16.05 49.64 2.82 57.21
#1531 [0, 1, 1, 18999040, -4253978236] ≥ 3 ℤ/5ℤ 16.35 54.46 3.23 61.89
#1532 [0, 1, 1, -1737260, 891723410] ≥ 3 ℤ/5ℤ 16.38 43.57 2.44 54.74
#843 [1, 1, 1, -955392680, 11374118782377] ≥ 3 ℤ/5ℤ 19.20 59.65 3.90 73.65
#1261 [0, -1, 1, -4615694402694…, 12069902414603…] ≥ 3 ℤ/5ℤ 28.23 82.30 6.33 106.00
#1251 [0, 1, 1, -2627151804331…, 51831310381902…] ≥ 3 ℤ/5ℤ 36.11 101.18 7.51 118.13
#1172 [1, 1, 1, -2365, 43251] ≥ 2 ℤ/5ℤ 8.58 20.94 0.67 34.92
#1434 [0, -1, 1, -51898, 4567948] ≥ 2 ℤ/5ℤ 9.38 26.03 1.31 44.18
#1171 [0, 1, 1, -840, 39800] ≥ 2 ℤ/5ℤ 9.54 27.21 0.95 34.72
#1435 [0, -1, 1, -9020, 332772] ≥ 2 ℤ/5ℤ 9.80 22.34 0.92 38.94
#1436 [1, 1, 1, -1395, 106801] ≥ 2 ℤ/5ℤ 9.91 29.20 1.11 36.69
#1437 [0, -1, 1, -345950, 78434532] ≥ 2 ℤ/5ℤ 10.04 29.25 1.72 49.88
#1438 [0, 1, 1, -1135090, -382635350] ≥ 2 ℤ/5ℤ 10.37 44.86 2.46 53.44
#1439 [0, 1, 1, -33820, 2382628] ≥ 2 ℤ/5ℤ 10.66 25.31 1.22 42.90
#1440 [1, 0, 0, -803575, 284546441] ≥ 2 ℤ/5ℤ 10.67 42.03 2.28 52.46
#1441 [1, 1, 1, -10960, 444849] ≥ 2 ℤ/5ℤ 10.71 28.73 1.19 39.55
#3307 [0, 1, 1, 4300, -746746] ≥ 2 ℤ/5ℤ 10.97 33.14 1.44 40.57
#3006 [0, -1, 1, 4790, 136798] ≥ 2 ℤ/5ℤ 11.38 30.36 1.22 37.20
#3309 [0, -1, 1, -91630, 10706542] ≥ 2 ℤ/5ℤ 11.51 26.56 1.42 45.89
#3310 [0, 1, 1, -174580, 28018120] ≥ 2 ℤ/5ℤ 11.91 28.09 1.58 47.82
#3011 [0, -1, 1, 2450, 328882] ≥ 2 ℤ/5ℤ 11.94 31.50 1.31 38.94
#3311 [0, -1, 1, -233100, 43395156] ≥ 2 ℤ/5ℤ 12.20 28.23 1.63 48.69
#3014 [0, -1, 1, -5148, 482658] ≥ 2 ℤ/5ℤ 12.29 32.14 1.36 39.69
#3308 [1, 1, 1, -12285, 1096051] ≥ 2 ℤ/5ℤ 12.82 33.64 1.49 41.35
#801 [0, 1, 1, -10, 10] ≥ 1 ℤ/5ℤ 4.81 9.21 -0.49 18.75
#999 [0, -1, 1, 10, 6] ≥ 1 ℤ/5ℤ 5.04 11.48 -0.36 18.42
#1745 [0, -1, 1, -148, 748] ≥ 1 ℤ/5ℤ 5.16 14.56 0.05 26.62
#1746 [1, 1, 1, -230, 1251] ≥ 1 ℤ/5ℤ 5.71 15.41 0.15 27.93
#1776 [0, -1, 1, -210, 6798] ≥ 1 ℤ/5ℤ 6.50 23.67 0.65 31.15
#1743 [1, 0, 0, -70, 356] ≥ 1 ℤ/5ℤ 6.73 17.36 0.14 25.31
#3306 [1, 1, 1, -2460, 45949] ≥ 1 ℤ/5ℤ 6.76 19.93 0.64 35.04
#1773 [1, 1, 1, -410, 903] ≥ 1 ℤ/5ℤ 6.77 22.09 0.53 29.66
#1772 [0, 1, 1, -280, 1684] ≥ 1 ℤ/5ℤ 6.79 17.62 0.26 28.52
#1741 [1, 1, 1, 10, 147] ≥ 1 ℤ/5ℤ 6.79 16.00 0.01 23.45
#1742 [1, 1, 1, 50, 363] ≥ 1 ℤ/5ℤ 7.33 17.89 0.17 25.19
#1774 [0, -1, 1, -600, 5832] ≥ 1 ℤ/5ℤ 7.45 18.78 0.40 30.81
#1744 [0, 1, 1, -20, 506] ≥ 1 ℤ/5ℤ 7.71 18.54 0.22 26.00
#1770 [1, 1, 1, -180, 1525] ≥ 1 ℤ/5ℤ 7.74 20.41 0.40 28.28
#1775 [0, -1, 1, -670, 6910] ≥ 1 ℤ/5ℤ 7.88 17.47 0.37 31.14
#1771 [1, 1, 1, -265, 1623] ≥ 1 ℤ/5ℤ 7.93 18.49 0.30 28.44
#0 [0, -1, 1, 0, 0] ≥ 0 ℤ/5ℤ 2.40 2.40 -1.11 10.05
#859 [0, -1, 1, -10, -20] ≥ 0 ℤ/5ℤ 2.40 11.99 -0.31 19.81
#930 [1, 1, 1, 0, 1] ≥ 0 ℤ/5ℤ 3.64 6.41 -0.79 13.86
#942 [1, 1, 1, -3, 1] ≥ 0 ℤ/5ℤ 3.91 6.68 -0.73 15.30
#943 [1, 1, 1, 22, -9] ≥ 0 ℤ/5ℤ 3.91 13.62 -0.18 20.88
#953 [0, 1, 1, 20, -32] ≥ 0 ℤ/5ℤ 4.04 13.93 -0.15 20.82
#954 [1, 1, 1, 5, 9] ≥ 0 ℤ/5ℤ 4.06 10.30 -0.46 17.44
#969 [0, 1, 1, 2, 4] ≥ 0 ℤ/5ℤ 4.32 8.71 -0.59 16.12
#989 [1, 1, 1, 10, -45] ≥ 0 ℤ/5ℤ 4.70 13.91 -0.16 21.31
#991 [1, 1, 1, -25, 39] ≥ 0 ℤ/5ℤ 4.77 11.01 -0.31 21.33
#1001 [1, 0, 0, 15, 9] ≥ 0 ℤ/5ℤ 5.23 12.39 -0.28 19.73
#1019 [1, 0, 0, -5, 33] ≥ 0 ℤ/5ℤ 5.90 13.07 -0.23 20.54