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curve #6237
y2 = x3 + 1705422467371107475x
- a-invariants
[0, 0, 0, 1705422467371107475, 0]- c-invariants
[-81860278433813158800, 0]- rank (lower bound)
- ≥ 11
- torsion subgroup
- ℤ/2ℤ
- family
- y2 = x3 + ax (quartic twists)
- conductor (N)
12881786207730518544879180215367200 ☆ record for quartic twists, rank ≥ 11- discriminant (Δ)
-317450426087829053006996209385295674713586664062899000000- Faltings height
- 9.5311
- naive height
- 137.5546
- primes of bad reduction
2, 5, 17, 79, 113, 157, 193, 541, 1613- regulator
9352542155.80446826735655084271416955867714752843254798662598- submitted by
- NDElkies
- submitted at
- last updated
(1949633100, 103612926160650)(18172582225/9, 2917483464231350/27)(115305305, 14077545166550)(1734580745, -90427584885250)(2301821420, 126970495778450)(3913921305, -258130565152950)(10261633900/9, -1580536538576450/27)(7720931225, -688065124988150)(168418169, 17088044263078)(1200928025, -61482532517450)(2205326080/9, -561575948806000/27)
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