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curve #348
y2 + xy + y = x3 − 25465228x + 50335019942
- a-invariants
[1, 0, 1, -25465228, 50335019942]- rank (lower bound)
- ≥ 8
- torsion subgroup
- trivial
- conductor (N)
27803928392498706- naive height
- 62.8072
- Faltings height
- 3.1234
- discriminant (Δ)
-37740996792120958526988- primes of bad reduction
2, 3, 7, 19, 36313, 137070217- regulator
4363.85193025729754986212238245958583285380788727947646- submitted by
- Warricker-hash
- submitted at
- 2026-08-25 10:41:45 UTC
- last updated
- 2026-08-25 10:41:45 UTC
Witness: 8 independent points
(-101, 230063)(-137/4, 1810453/8)(379, 201647)(-605, 256271)(-659, 258845)(663, 183361)(685, 181901)(736, 178493)
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