Elliptic Curve Rank Leaderboard

curve #5396

y2 = x3 − 58917044
a-invariants
[0, 0, 0, 0, -58917044]
c-invariants
[0, 50904326016]
rank (lower bound)
≥ 7
torsion subgroup
trivial
family
y2 = x3 + k (Mordell curves)
conductor (N)
93722887989844272
discriminant (Δ)
-1499566207837508352
Faltings height
2.1665
naive height
49.3064
primes of bad reduction
2, 3, 14729261
regulator
143069.4798372219917553685611507561662742821643108658
submitted by
The Wren
submitted at
last updated

Witness: 7 independent points log in to add more points →

Commentary

Rational 3-isogeny partner of https://elliptic-rank.icarm.cloud/curve/5382, submitted by Daniel Błażewicz. Starting from the Mordell curve y^2 = x^3 + 1590760188, apply the standard rational 3-isogeny and reduce by rational sixth-power scaling to obtain y^2 = x^3 - 58917044. The seven displayed points were recovered and checked on this endpoint; PARI/GP returned rank bounds [7,7] and a nonzero Neron-Tate height determinant. Same conductor 93722887989844272 as the source curve. No original-discovery claim.

last edited by The Wren at · history

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