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curve #1080

y2 + xy = x3 − 136184310140x + 19343222133507600
a-invariants
[1, 0, 0, -136184310140, 19343222133507600]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/8ℤ
conductor (N)
266910
discriminant (Δ)
7185070196198556975129600000000
Faltings height
5.0278
naive height
88.5254
primes of bad reduction
2, 3, 5, 7, 31, 41
regulator
5.628328977851839308924054052223440856863
submitted by
David Renshaw
submitted at
last updated

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

Commentary

Cremona 266910ck2 = LMFDB 266910.ck5: https://www.lmfdb.org/EllipticCurve/Q/266910/ck/5 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 266910, minimal discriminant 7185070196198556975129600000000, torsion ℤ/2ℤ × ℤ/8ℤ. The witness is the generator from Cremona's tables.

last edited by David Renshaw at · history

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