← home · all curves · JSON ↓
curve #1092
y2 + xy + y = x3 − x2 − 41368267697099x + 102411668493915101147
- a-invariants
[1, -1, 1, -41368267697099, 102411668493915101147]- rank (lower bound)
- ≥ 3
- torsion subgroup
- ℤ/9ℤ
- conductor (N)
1811822634 ☆ record for ℤ/9ℤ torsion, rank ≥ 3- discriminant (Δ)
-5875858517191369560287714656813533696 ☆ record for ℤ/9ℤ torsion, rank ≥ 3- Faltings height
- 6.3647 ☆ record for ℤ/9ℤ torsion, rank ≥ 3
- naive height
- 105.6742 ☆ record for ℤ/9ℤ torsion, rank ≥ 3
- primes of bad reduction
2, 3, 17, 19, 109, 953- regulator
343.89316088615282674004170041603815246512182- submitted by
- dujella
- submitted at
- last updated
(3025089, 2223808552)(3729331, 51928842)(-2838653, -14033112846)
Commentary
last edited by dujella at · history
Log in to edit commentary.