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curve #2082
y2 + xy = x3 − 64583879491038226784x + 199771686978671716595996550144
- a-invariants
[1, 0, 0, -64583879491038226784, 199771686978671716595996550144]- rank (lower bound)
- ≥ 8
- torsion subgroup
- ℤ/4ℤ
- conductor (N)
234533362997397291546 ☆ record for ℤ/4ℤ torsion, rank ≥ 8- discriminant (Δ)
29392394712422148084171073276635560056251292857353109504- Faltings height
- 9.9365
- naive height
- 148.4571
- primes of bad reduction
2, 3, 17, 19, 53, 83, 89, 179, 257, 1753, 3833- regulator
3649281.41592029610175592072341658529900797314966899685- submitted by
- Seojun Jang
- submitted at
- last updated
(8762348224, 553735049774752)(38205273280/9, 1239535343120096/27)(4626915520, 1462840985248)(232224614080/49, 4035728850669664/343)(2451303695944/529, 6930116303327264/12167)(44722657840/9, 1061387850080144/27)(3733297390, 103408605337708)(799626369936287424/174213601, 13475541209278081810625376/2299445319599)
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