← home · all curves · JSON ↓
curve #4057
y2 + xy = x3 + x2 − 4468681022x + 108988222067520
- a-invariants
[1, 1, 0, -4468681022, 108988222067520]- c-invariants
[214496689081, -94167432591505325]- rank (lower bound)
- ≥ 9
- torsion subgroup
- ℤ/2ℤ
- conductor (N)
19601750875338708054- discriminant (Δ)
579419133417633664334663790372- Faltings height
- 4.4644 ☆ record for ℤ/2ℤ torsion, rank ≥ 9
- naive height
- 78.2747
- primes of bad reduction
2, 3, 11, 17, 19, 23, 167, 577, 7297, 56857- regulator
101696.29492502383587062071738078562384559347296312851169- submitted by
- NDElkies
- submitted at
- last updated
(66063, 10071387)(-22781, -14094181)(52478, 4333292)(48194, -2383306)(-76057, 3022235)(90592, 21112496)(227051, 103806650)(100966, 26161670)(45581, -87685)
Commentary
No commentary yet.
Log in to add commentary.