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curve #354
y2 + xy + y = x3 − x2 − 1339654280x + 18843018310347
- a-invariants
[1, -1, 1, -1339654280, 18843018310347]
- rank (lower bound)
- ≥ 8
- torsion subgroup
- trivial
- conductor (N)
121506972449656950
- naive height
- 74.6606
- Faltings height
- 4.0126
- discriminant (Δ)
491315873239636870464000000
- primes of bad reduction
2, 3, 5, 13, 1093, 19003131419
- regulator
5304.23999835514532457632202762607717409861099522738399
- submitted by
- Warricker-hash
- submitted at
- 2026-08-25 14:06:08 UTC
- last updated
- 2026-08-25 14:06:08 UTC
Witness: 8 independent points
(137221/9, -38022845/27)
(40409, -5560155)
(592493, 454916121)
(-41881, 1240665)
(1806029, -2427504615)
(29229, 2143385)
(1075881/49, 36127895/343)
(2259, 3977345)
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