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curve #4212
y2 + xy + y = x3 + x2 − 828864x + 289040136
- a-invariants
[1, 1, 1, -828864, 289040136]
- c-invariants
[39785473, -250029068705]
- rank (lower bound)
- ≥ 4
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
13247403
- discriminant (Δ)
266925896777746089
- Faltings height
- 2.1980
- naive height
- 52.4970
- primes of bad reduction
3, 13, 17, 29, 53
- regulator
28.72444457260724826365185775105697054848795105
- submitted by
- NDElkies
- submitted at
- last updated
(174, 12165)
(382, 5132)
(3424, 192215)
(-333, 23150)
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