Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 3 and torsion ℤ/7ℤ

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showing 35 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1214 [1, 0, 0, -3260345148508…, 12613980717746…] ≥ 6 ℤ/7ℤ 81.32 333.11 26.45 340.95
#1094 [1, 0, 0, -3871874529581…, 29324436958319…] ≥ 5 ℤ/7ℤ 40.43 160.65 12.69 181.46
#1907 [1, 0, 0, 17189192408099…, 14347563590500…] ≥ 5 ℤ/7ℤ 42.58 178.72 13.58 185.93
#1908 [1, 0, 0, -2989806201437…, 62923591421774…] ≥ 5 ℤ/7ℤ 43.23 181.48 14.37 201.41
#2850 [1, 0, 0, -2392473066782…, 45246626407933…] ≥ 5 ℤ/7ℤ 45.04 202.40 15.71 214.56
#2857 [1, 0, 0, -1644173544974…, 29144075820496…] ≥ 5 ℤ/7ℤ 47.14 190.92 14.64 199.87
#2841 [1, 0, 0, -3618055990993…, 26536056649244…] ≥ 5 ℤ/7ℤ 48.24 195.80 15.20 208.89
#2840 [1, -1, 1, -8199848398909…, 90396625573145…] ≥ 5 ℤ/7ℤ 49.57 196.16 15.33 211.34
#2839 [1, 0, 0, -1215144980111…, 16303853171210…] ≥ 5 ℤ/7ℤ 51.27 201.01 16.33 226.34
#2832 [1, 0, 0, -8016342698371…, 31571024748180…] ≥ 5 ℤ/7ℤ 51.39 209.54 16.19 218.45
#2825 [1, 0, 0, -1118184507209…, 14391914697117…] ≥ 5 ℤ/7ℤ 51.56 204.99 16.40 226.09
#1631 [1, -1, 1, -5385873752997…, 47148386493451…] ≥ 4 ℤ/7ℤ 29.80 130.32 9.65 141.00
#1213 [1, -1, 1, -3164639642154…, 21706985668269…] ≥ 4 ℤ/7ℤ 29.88 126.31 9.41 139.41
#2144 [1, 0, 0, -1435365919737…, 21086903195077…] ≥ 4 ℤ/7ℤ 29.91 118.47 8.70 130.14
#1626 [1, 0, 0, -7152365723323…, 22051381944801…] ≥ 4 ℤ/7ℤ 30.80 139.03 10.34 148.76
#1627 [1, 0, 0, 86546022235754…, 55483047848504…] ≥ 4 ℤ/7ℤ 30.81 129.50 9.48 136.68
#2121 [1, 0, 0, 10303505179101…, 10900516450869…] ≥ 4 ℤ/7ℤ 31.35 128.66 9.41 136.04
#1625 [1, 0, 0, 14511670805909…, 10109581236928…] ≥ 4 ℤ/7ℤ 35.40 150.54 11.23 157.79
#1629 [1, 0, 0, -1152089797356…, 51515479009752…] ≥ 4 ℤ/7ℤ 38.84 154.79 11.64 164.17
#1630 [1, -1, 1, -3414799361934…, 14607884665566…] ≥ 4 ℤ/7ℤ 38.96 173.18 13.13 181.08
#1628 [1, 0, 0, -1576164997076…, 24520713406861…] ≥ 4 ℤ/7ℤ 43.27 174.91 13.37 185.71
#1632 [1, 0, 0, -6582967677923…, 35903266972954…] ≥ 4 ℤ/7ℤ 50.64 197.04 15.11 204.89
#844 [1, 0, 0, -57339985560, 94379246762256…] ≥ 3 ℤ/7ℤ 19.81 79.26 5.30 87.09
#1560 [1, 0, 0, -2586270940000, 16035631383200…] ≥ 3 ℤ/7ℤ 20.34 84.20 5.91 97.36
#1562 [1, -1, 1, -8252027065587, 91198806819639…] ≥ 3 ℤ/7ℤ 20.60 86.39 6.15 100.84
#1555 [1, 0, 0, -6617482617830…, 21881550820093…] ≥ 3 ℤ/7ℤ 21.97 97.47 6.87 107.19
#1557 [1, 0, 0, -1186593208599…, 49626668168673…] ≥ 3 ℤ/7ℤ 22.38 109.90 8.03 122.65
#1558 [1, 0, 0, -4301779818679…, 98125192621178…] ≥ 3 ℤ/7ℤ 22.47 96.64 6.79 105.79
#1559 [1, -1, 1, -2590240406268…, 57038896693004…] ≥ 3 ℤ/7ℤ 22.60 95.48 6.69 104.50
#1561 [1, 0, 0, -700122879986, 26753064363877…] ≥ 3 ℤ/7ℤ 22.74 85.09 5.81 93.78
#1563 [1, -1, 1, 68236798429443, 23182400524040…] ≥ 3 ℤ/7ℤ 22.95 100.48 7.06 107.31
#1554 [1, -1, 1, -1259008791041…, 54379044724176…] ≥ 3 ℤ/7ℤ 23.14 92.97 6.78 109.01
#3384 [1, 0, 0, 41629871161444, -1168364015247…] ≥ 3 ℤ/7ℤ 23.27 99.06 6.94 105.94
#3370 [1, 0, 0, -1660228681553…, 38543763023078…] ≥ 3 ℤ/7ℤ 23.94 95.66 6.67 103.72
#3398 [1, 0, 0, -1378024147874…, 19689438735404…] ≥ 3 ℤ/7ℤ 24.85 92.36 7.18 116.19