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curve #366
y2 + xy + y = x3 − x2 − 19968242x + 24608110065
- a-invariants
[1, -1, 1, -19968242, 24608110065]- rank (lower bound)
- ≥ 9
- torsion subgroup
- trivial
- conductor (N)
53834513241136681674- naive height
- 62.0426
- Faltings height
- 3.1959
- discriminant (Δ)
248069437015157829153792- primes of bad reduction
2, 3, 78839, 126457, 99996097- regulator
156153.96327379863588481150356381233736325696842027735411- submitted by
- Warricker-hash
- submitted at
- 2026-08-26 05:49:04 UTC
- last updated
- 2026-08-26 05:49:04 UTC
Witness: 9 independent points
(-1495, 226839)(5777, -322305)(17, -155793)(3633, 287)(-2911, -239505)(105761, 34311087)(28655, -4808145)(689, 105375)(-703/121, 209288397/1331)
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