← home · all curves · JSON ↓
curve #1641
y2 = x3 + x2 − 95549172512866864x + 11690998742798553808334900
- a-invariants
[0, 1, 0, -95549172512866864, 11690998742798553808334900]- rank (lower bound)
- ≥ 4
- torsion subgroup
- ℤ/8ℤ
- conductor (N)
7443456979728 ☆ record for ℤ/8ℤ torsion, rank ≥ 4- discriminant (Δ)
-3216405674598248142821908149453917293058220122523648 ☆ record for ℤ/8ℤ torsion, rank ≥ 4- Faltings height
- 8.6578 ☆ record for ℤ/8ℤ torsion, rank ≥ 4
- naive height
- 128.9649 ☆ record for ℤ/8ℤ torsion, rank ≥ 4
- primes of bad reduction
2, 3, 7, 11, 23, 59, 131, 11329- regulator
5481.758758383166111122399117548966147013048776- submitted by
- Michael Rubinstein
- submitted at
- last updated
(9229127043302/51529, 6648867360790385724/11697083)(38905781150/289, 5531742217795500/4913)(11509018676/49, 509475515302494/343)(4418953093054/14641, 5698485118299341172/1771561)
Commentary
last edited by Michael Rubinstein at · history
Log in to edit commentary.