curve #4042

y² + xy + y = x³ − x² − 555544874940449712x + 170675745797252948980461075

a-invariants: [1, -1, 1, -555544874940449712, 170675745797252948980461075]
c-invariants: [26666153997141586161, -147463844248828854931981231305]
rank (lower bound): ≥ 16
torsion subgroup: trivial
conductor (N): 188452869848364095563634903856362051765900498
discriminant (Δ): -1610946800717859833952216413327582540416822424438939648
Faltings height: 9.1463
naive height: 134.3268
primes of bad reduction: 2, 13, 53, 233, 59601959, 757519348766449572200110720931
regulator: 11223309258032.71839807464521441373843583913039606770069101994053114470
submitted by: 7fff-zip
submitted at: 2026-10-06 21:40:17 UTC
last updated: 2026-10-06 21:40:17 UTC

(-114305883, -15253935487335)
(143451985, -9692014429691)
(339278429, -4609469280335)
(385117145, -3721028732615)
(438959141, 3375449727937)
(449884511, 3434825229311)
(459258329, -3522030395155)
(536638333, -5205126915663)
(555785565, -5796202954255)
(-655658695, 15908299273465)
(-669582219, -15570727808983)
(-684536127, -15171991034571)
(732123555, -12505167912285)
(-737625619, 13384090585217)
(-753789055, -12693637594231)
(1127344593, -31259707152471)

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