curve #1964

y² + xy = x³ − 2448453635331524110479271342205x + 1487343389364701579645667844574900025203145201

a-invariants: [1, 0, 0, -2448453635331524110479271342205, 1487343389364701579645667844574900025203145201]
rank (lower bound): ≥ 19
torsion subgroup: trivial
conductor (N): 22318741017982508487398887343061991261345084414618165089421458
discriminant (Δ): -16255264355881006832776938224473986591050439858432666306708019156629820620915050960623239168
Faltings height: 16.3207
naive height: 221.5498
primes of bad reduction: 2, 3, 7, 11, 17, 31, 43, 47, 67, 79, 1224195713436384296041679185607702321398607596727
regulator: 39272944387391425.01087995682783802481674289893945228712536365311234895289202
submitted by: Ritik Jain
submitted at: 2026-09-25 20:06:58 UTC
last updated: 2026-09-25 20:06:58 UTC

(4867804070383905970/5041, -1732850299808672274258321799/357911)
(-1345764724516677573642159766496488649726/1301197762640517377655889, 80114485383758648493212147949185225702294293941582636514871/1484277013695089699739802912217528537)
(17703618648309720508/19321, -9740782184581772023820772419/2685619)
(110587262282228614/121, 4800003999080715156941081/1331)
(1385023113494626, -27441814589920723711217)
(-82466626029368339/400, 356280306371704795611248531/8000)
(1283022372624384274/2809, 3207917920014381804517491587/148877)
(-1180299047665782, -52277809089327492078177)
(3791626003462000, -216133664733542363393399)
(13623831891862978885/13456, 10613820696676674816259482749/1560896)
(12689646228384839410/12769, -8606461758844766067896658337/1442897)
(1147405328404468450/1089, -315865182112645182117336913/35937)
(1062589879652578, -9241680526997175064817)
(21856836884394066/25, 483797492311228832610771/125)
(-525633067413303806/361, 304085099236269735449582869/6859)
(690133437337042186972/994009, -10949756152453029088871387130701/991026973)
(-3898473054304935976826/6265009, 825316574919900800729533272099841/15681317527)
(-710136880992299996681611121/882122937796, 44897668905042129930109477256508717496339/828502212899132344)
(-62948831182227968387677256/99598941649, 1658015818293644053095275858432155772681/31432728791832857)

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