Elliptic Curve Rank Leaderboard

Curves with rank lower bound ≥ 12 and torsion ℤ/3ℤ

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showing 26 of 5563 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
#4645 [1, 0, 0, -4219986096887…, 10513319941629…] ≥ 15 ℤ/3ℤ 152.70 369.66 29.66 382.04
#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
#4581 [1, 0, 0, -2241255252712…, 41051116287478…] ≥ 12 ℤ/3ℤ 89.22 202.34 15.70 214.37
#5360 [1, 0, 0, -4136658015848…, 32386556474599…] ≥ 12 ℤ/3ℤ 101.81 220.92 17.44 236.92
#4644 [1, 0, 1, -3494080778151…, 79544281860769…] ≥ 12 ℤ/3ℤ 104.48 229.15 18.03 243.32
#5091 [1, 0, 0, -4552856386677…, 11873208530228…] ≥ 12 ℤ/3ℤ 106.15 231.87 18.17 244.13
#4646 [1, 0, 0, -3702179552348…, 27410248678662…] ≥ 12 ℤ/3ℤ 106.29 235.46 18.60 250.40
#1939 [1, 0, 0, -1757435272012…, 20803849458555…] ≥ 12 ℤ/3ℤ 108.24 246.85 19.28 255.08
#4648 [1, 0, 0, -3138888585813…, 67666499744368…] ≥ 12 ℤ/3ℤ 110.62 242.00 19.13 256.82
#5088 [1, -1, 1, -3351996464283…, 23738998693277…] ≥ 12 ℤ/3ℤ 110.74 238.05 18.68 250.12
#5016 [1, 0, 0, -2101244022971…, 37061905277635…] ≥ 12 ℤ/3ℤ 110.75 254.59 20.18 269.43
#1194 [1, 0, 0, -1507573912593…, 71948127291473…] ≥ 12 ℤ/3ℤ 111.82 236.33 18.51 247.73
#3171 [1, 0, 1, -6999312010100…, 76392581201931…] ≥ 12 ℤ/3ℤ 115.55 242.95 18.99 252.45
#3168 [1, 0, 1, -8108955275569…, 28126393626819…] ≥ 12 ℤ/3ℤ 119.90 259.50 20.55 273.48
#3167 [1, 0, 0, -2886947269588…, 64622389720504…] ≥ 12 ℤ/3ℤ 120.33 261.16 20.50 270.54
#3169 [1, 0, 1, -5101239509115…, 76434974688414…] ≥ 12 ℤ/3ℤ 121.10 249.60 19.48 257.06
#3166 [1, 0, 1, -2272042537611…, 13180898673869…] ≥ 12 ℤ/3ℤ 125.04 260.15 20.73 276.57