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curve #4161
y2 = x3 − x2 − 5358641471006980x + 31524477168456097476772
- a-invariants
[0, -1, 0, -5358641471006980, 31524477168456097476772]- c-invariants
[257214790608335056, -27237146730257324569920704]- rank (lower bound)
- ≥ 9
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
61379448493576713868680- discriminant (Δ)
9418591743439091823612545626712019630712356000000- Faltings height
- 8.0877
- naive height
- 120.2661 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 9
- primes of bad reduction
2, 3, 5, 13, 29, 37, 47, 59, 73, 83, 139, 181, 223, 389- regulator
356270.03389132837100835872984893500317795554390659108418- submitted by
- NDElkies
- submitted at
- last updated
(75700604, 244296033930)(124461784, -1136918195010)(-73299076, 174613850250)(77364184, 282840897090)(-13660848, -319654020746)(4982944, 70330590330)(175615174, 2122865685000)(116207174, -988982319000)(3183172, 120412845774)
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