curve #6230

y² + y = x³ − 37466534334453184791693x + 2793691606842895543206757688013464

a-invariants: [0, 0, 1, -37466534334453184791693, 2793691606842895543206757688013464]
c-invariants: [1798393648053752870001264, -2413749548312261749330638642443633112]
rank (lower bound): ≥ 19
torsion subgroup: trivial
conductor (N): 2278668155794125397592904422289044430867101389072278324247335
discriminant (Δ): -5663595521203961763836200048033085597253717496018311690741887432475
Faltings height: 11.7295
naive height: 167.5485
primes of bad reduction: 3, 5, 17, 19, 87121, 1294208401699, 1390397507192145567090747813491112972539
regulator: 375942576969237568.7417654961575710999995831398467951361904503179469531230247
submitted by: apkorte
submitted at: 2026-10-31 09:13:43 UTC
last updated: 2026-10-31 09:13:43 UTC

(425603898081/4, 27479835316095341/8)
(74434533129, 20427729335745772)
(103021018944, 5219882169370087)
(111730077957, -1532174645794748)
(124880508228, -7898160130832597)
(-38956746867, -64762211559930764)
(526558581681/4, -95596898122308109/8)
(116333746569, -3078437595436013)
(468156273457/4, -27552178652048571/8)
(72279292069, -21523137545201413)
(110947644714, -1601427812132678)
(-223489445832, -2078524987760192)
(120775472671, -5510951624692309)
(112941962082, -1680056506307678)
(130985104089, -11552398374501428)
(112830404589, -1654519136868428)
(-200320613196, -47544457583191973)
(113919882069, 1982672635029412)
(-223115623074, -6799658414519642)

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