curve #3546

y² = x³ − x² − 28526855446597251448475377220x + 9384133188801669556366567194974640132588900

a-invariants: [0, -1, 0, -28526855446597251448475377220, 9384133188801669556366567194974640132588900]
rank (lower bound): ≥ 16
torsion subgroup: ℤ/2ℤ
conductor (N): 6431096057258181075868490059406440855350716841273480 ☆ record for ℤ/2ℤ torsion, rank ≥ 16
discriminant (Δ): -36557028756297059907133796620092776442113885082959377546948747446943674131395858716000000
Faltings height: 15.6751
naive height: 211.4183
primes of bad reduction: 2, 3, 5, 7, 17, 37, 59, 61, 73, 79, 89, 107, 131, 157, 179, 223, 1033, 1193, 12203, 22433, 47581, 4672963
regulator: 69890844044054.72945336530893310034884878037243346307737114293492002386
submitted by: wgxli
submitted at: 2026-09-28 01:06:09 UTC
last updated: 2026-09-28 01:06:09 UTC

(-1192382036870, 3068899868602053616480)
(17590058741665, 2981239116338315525000)
(28214308038410, 2932870202064832832040)
(31919632813205, 2916519872925079689870)
(-252925922960420, 647501396858805566630)
(-54337190948470, 3282342178471734489720)
(-74100305245510, 3330331490397472551600)
(-87055361384960, 3347803460152535410250)
(110801730001540, 2753837991354609958750)
(158579456387300, 2974597108316150239230)
(203256456157045, 3461652440872736147590)
(233350989393365, 3928606749360372883650)
(240280706376540, 4049968275004969196250)
(327286094137265, 5924974994867244176700)
(-166449198605308, 3085591432698092601822)
(892391865095420, 26355171736898442347910)

2-isogenous to curve #3544.

last edited by wgxli at 2026-09-28 01:06:10 UTC · history