curve #2107

y² + xy = x³ − 14042144139584816633155757942760x − 18844865526328772334625976599270307609001086400

a-invariants: [1, 0, 0, -14042144139584816633155757942760, -18844865526328772334625976599270307609001086400]
rank (lower bound): ≥ 8
torsion subgroup: ℤ/6ℤ
conductor (N): 1322164299121207471340849130
discriminant (Δ): 23791037988146425289354210590693839471001934253503855244123641273470344616957707940667437056000
Faltings height: 16.8534
naive height: 226.7725
primes of bad reduction: 2, 3, 5, 7, 11, 19, 23, 31, 41, 53, 89, 191, 269, 461, 1627, 5669
regulator: 388280250.461118920210443110437413859301558339398358036
submitted by: Steps Unbounded
submitted at: 2026-09-26 06:57:26 UTC
last updated: 2026-09-26 06:57:26 UTC

(-606846031114970280/289, -182674114367158401781965480/4913)
(-1778373356249040, -22427770402761081285960)
(16753110215445840, -2109015356027100991663080)
(-1679406055439448, 995813409742129996416)
(7271480048035536200, -19608039251490268491083097640)
(-1745390744572734, -18628578878178854024118)
(146338749997603331238/6889, -1740736909696254657154570986516/571787)
(-8503423644202510800/3721, -8216979142710866368602468840/226981)

2-isogenous partner of curve#1095 (Dujella - Peral - Tadić (2019)).

last edited by Steps Unbounded at 2026-09-26 21:48:15 UTC · history