curve #4886

y² + y = x³ − 119777402828385230788805738428988

a-invariants: [0, 0, 1, 0, -119777402828385230788805738428988]
c-invariants: [0, 103487676043724839401528158002645416]
rank (lower bound): ≥ 14
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 116790896991187197972944027924327549003781191857801594054651281
discriminant (Δ): -6197742530631331034830220729860290042983656508317957191698179528827
Faltings height: 11.4951
naive height: 161.2495
primes of bad reduction: 3, 7, 19, 23, 53, 307289, 711959, 101560749485011
regulator: 168378324171964703876.427113232173865709547452325849944764902192369
submitted by: Maksym Voznyy
submitted at: 2026-10-20 22:30:02 UTC
last updated: 2026-10-20 22:30:02 UTC

(117463838800, 38742220914168628)
(909712568150, 867604392089543628)
(540648491026/9, 265921520069659409/27)
(104313427262, 31863574275234515)
(4425159191308/9, 9304101215629112105/27)
(109446591100, 34514268801168628)
(71727248600, 15787489226168628)
(74939735200, 17351698637831371)
(121102610552, 40697596778279220)
(27680402729337480531224723220313/71301332779111769104, 145483458632561330523062059624476915685581890237/602069284789949320524509599808)
(12596867305841267012731932739877212/1016249778278070273961, 1413819014458383144126469276225698698096560682941159/32396694145490403891725743755541)
(14141340051335514996479463980920/143062782398623899361, 49771822969621258887840028875881252104097163077/1711157562299548683394298253359)
(27261685220095107406912456091768382985/211697984651398336298162916, 138291310039937647423233841051959185594447809916738700767/3080172828042244088458098392765832367464)
(35613922642727771575200446777771842138/643884273386574087353494009, 114877632759129436231483500043967016080615410603235541140/16338482851685179048748204507731869620723)

Reynya - Voznyy (2026)

last edited by Maksym Voznyy at 2026-10-20 22:30:02 UTC · history