curve #1120

y² + xy = x³ − 31124678862448817636407940x + 66835225530144951377745363438177411600

a-invariants: [1, 0, 0, -31124678862448817636407940, 66835225530144951377745363438177411600]
rank (lower bound): ≥ 7
torsion subgroup: ℤ/6ℤ
conductor (N): 64632587449756916613210
discriminant (Δ): 128508789725186445592550534015159311563588196406199468527616000000000000
Faltings height: 13.1353
naive height: 187.7137
primes of bad reduction: 2, 3, 5, 11, 19, 29, 97, 127, 991, 1709, 2437, 6991
regulator: 752541.0251457270673696916310769280344973524252152072
submitted by: dujella
submitted at: 2026-09-23 21:06:41 UTC
last updated: 2026-09-23 21:06:41 UTC

(28959993461320/9, 268083677343528020/27)
(7671451839880, 16719376910549900860)
(-21698790966705/4, 69762015022586294205/8)
(3219393486280, 4790107476198460)
(7588642289980, 16360070989734833260)
(-2034896926520, 11033795763492203260)
(1858293133480, 3926015569011743260)

found by Dujella (2006)

last edited by dujella at 2026-09-23 21:06:43 UTC · history