Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 3 and torsion ℤ/2ℤ × ℤ/8ℤ

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showing 12 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#1087 [1, 0, 0, -1574593253082…, 24028219957095…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 27.56 130.42 9.79 144.22
#1777 [1, 0, 0, -2564530435455…, -7740335446643…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 32.52 172.50 13.07 180.23
#1778 [1, 0, 0, -1826209705629…, 94722161538252…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 40.73 194.20 15.05 206.84
#2182 [1, 0, 0, -9778675413513…, 61926185440712…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 47.23 245.54 19.16 253.32
#2181 [1, 0, 0, -5965425481033…, 93603611303427…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 48.19 244.35 19.05 251.84
#2178 [1, 0, 0, -1501011456398…, 22251270940723…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 48.56 228.89 17.91 240.79
#2179 [1, 0, 0, -5903537021945…, 17458837233932…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 48.80 239.18 19.15 258.71
#2186 [1, 0, 0, -7181359868024…, 23423843020411…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 50.92 245.18 20.18 273.12
#2185 [1, 0, 0, -1824794118073…, 30003290659312…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 51.06 245.85 19.93 269.00
#2183 [1, 0, 0, -1621197495376…, 79268859879186…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 51.45 248.90 19.62 261.74
#2184 [1, 0, 0, -9978082456644…, 12118558737989…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 53.89 253.60 20.04 267.19
#2180 [1, 0, 0, -2101596053030…, 17566852216331…] ≥ 3 ℤ/2ℤ × ℤ/8ℤ 54.67 261.72 20.51 269.43