curve #1834

y² + xy = x³ − 414104152508615055741297665x + 3074071041390765679087545341686733505225

a-invariants: [1, 0, 0, -414104152508615055741297665, 3074071041390765679087545341686733505225]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/2ℤ × ℤ/6ℤ
conductor (N): 19340658771631964130
discriminant (Δ): 462374416856683494928505928540742666012073130374753888764651731526107515625000000
Faltings height: 14.2314
naive height: 195.4781
primes of bad reduction: 2, 3, 5, 7, 13, 17, 19, 23, 43, 83, 149, 317, 5657
regulator: 23543.9050974937986674499936396425538281588579390
submitted by: dujella
submitted at: 2026-09-25 16:15:07 UTC
last updated: 2026-09-25 16:15:07 UTC

(1958847943180, 47648925981895337035)
(7221683466580, 21451623563466090385)
(-14817169105988, -77180527964414791253)
(23116405228600, 76512361836467296915)
(98677865228980, 960764862135085379035)

found by Voznyy (2021)

last edited by dujella at 2026-09-25 16:15:07 UTC · history