Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 13 and torsion ℤ/3ℤ

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showing 10 of 3920 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#318 [1, 0, 1, -1074047301641…, 48976939778870…] ≥ 15 ℤ/3ℤ 145.16 331.53 26.31 339.06
#1936 [0, 1, 1, -2479143454512…, 47463673909255…] ≥ 14 ℤ/3ℤ 112.22 256.27 20.27 269.92
#1935 [1, 0, 1, -1886778476063…, 99753805569209…] ≥ 14 ℤ/3ℤ 132.31 306.99 25.09 331.27
#1937 [1, 0, 1, -3142617982476…, 67755045622702…] ≥ 13 ℤ/3ℤ 101.42 242.92 19.17 256.82
#1938 [1, 0, 1, -2557499874808…, 49997987268990…] ≥ 13 ℤ/3ℤ 103.14 230.19 18.03 242.40
#3181 [1, 0, 0, -7326277178801…, 24059879080163…] ≥ 13 ℤ/3ℤ 121.40 260.66 20.58 273.17
#3177 [1, 0, 0, -3582219213057…, 26097195687506…] ≥ 13 ℤ/3ℤ 126.09 274.87 21.98 291.75
#3175 [1, 0, 0, -2451596981881…, 15101910099026…] ≥ 13 ℤ/3ℤ 127.37 266.24 20.97 276.84
#45 [1, 0, 0, -5607159337021…, 52994280301716…] ≥ 13 ℤ/3ℤ 127.97 269.24 21.20 279.35
#3174 [1, 0, 0, -7032750154590…, 23482511052116…] ≥ 13 ℤ/3ℤ 129.34 276.75 21.83 286.94