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curve #2571

y2 + xy + y = x3 − 1840059x + 959624146
a-invariants
[1, 0, 1, -1840059, 959624146]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
30030
discriminant (Δ)
779639711718968100
Faltings height
2.3467
naive height
54.8895
primes of bad reduction
2, 3, 5, 7, 11, 13
regulator
2.019797686544879940347715719629187676303
submitted by
Natanael Wildner Fraga
submitted at
last updated

Witness: 1 independent point log in to add more points →

Commentary

Exact computational search in the full 2-torsion/3-torsion family with p=-10, q=1; A=(3q-p)(p+q)^3=-9477, B=-(p+3q)(p-q)^3=-9317. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound is claimed.

last edited by Natanael Wildner Fraga at · history

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