curve #1494

y² + xy = x³ − 12100574837935299530348826728260x + 12237572864806256968480175273606363024430659600

a-invariants: [1, 0, 0, -12100574837935299530348826728260, 12237572864806256968480175273606363024430659600]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/12ℤ
conductor (N): 93053749653334470
discriminant (Δ): 48700525959468680131551982085270844258000297183748391162154189053652529216367886336000000000000
Faltings height: 16.8791
naive height: 226.3260
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 19, 23, 11969, 34849
regulator: 3277.7868418644576149115873620963369338337141
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:38:19 UTC
last updated: 2026-09-25 00:38:19 UTC

(25080207257701640, 3935050719342066415933820)
(2447072443149107746994120/2450151001, 4110010553863687581953345467873219060/121280024398499)
(428750652134737442418282630477320/21334350599734561, 8750624509557624731793555252741543796753398473540/3116155646143777828202191)

Torsion Z/12. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:38:19 UTC · history