Elliptic Curve Rank Leaderboard

curve #2117

y2 + xy = x3 + 149152001990763456940x + 1600599985779699566846031375600
a-invariants
[1, 0, 0, 149152001990763456940, 1600599985779699566846031375600]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/10ℤ
conductor (N)
108499668578070
discriminant (Δ)
-1319106895508418588215664322186016585562487022588867745937500000
Faltings height
10.7946
naive height
152.6190
primes of bad reduction
2, 3, 5, 7, 11, 19, 31, 71, 97, 11579
regulator
4281.0975697809813111540776149216709150468833
submitted by
Steps Unbounded
submitted at
last updated

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Commentary

Rank >= 3 with torsion Z/10 from the universal X_1(10) family at s=97/132 (t=s^2(2s-1)/(s-1)^2); conductor 108499668578070.

last edited by Steps Unbounded at · history

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