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curve #4157
y2 + xy = x3 − x2 − 1765807184842156017x + 872588685797834762627161641
- a-invariants
[1, -1, 0, -1765807184842156017, 872588685797834762627161641]- c-invariants
[84758744872423488825, -753916624147914882983961958125]- rank (lower bound)
- ≥ 10
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
107609891793786305720333550- discriminant (Δ)
23449274844037554536169783463527402614965494592595062500- Faltings height
- 9.3923
- naive height
- 137.6590
- primes of bad reduction
2, 3, 5, 13, 17, 19, 31, 67, 79, 107, 167, 193, 277, 421, 863- regulator
4456735.402169564594181475154044737708962316497274893427533- submitted by
- NDElkies
- submitted at
- later contributions
- rank ≥ 9 → ≥ 10 · NDElkies ·
(546614403, 8407728243384)(70209630573, -18600242173431141)(645329724, -1345193640237)(-905012130, 41586726407289)(1113931494, 16964553172653)(1037232369, -12528239227272)(6576034231/4, -392981195707881/8)(-893571476, 41677462234163)(56334399, 27808096187688)(587807358, 6142340098833)
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