curve #1941

y² = x³ + x² − 3409519797322263402933352803100x + 2435616460892251354211947267362678195975885104

a-invariants

[0, 1, 0, -3409519797322263402933352803100, 2435616460892251354211947267362678195975885104]

rank (lower bound)

≥ 22

torsion subgroup

trivial

conductor (N)

30530886383842491628222542018629369728457960222909361832946050386764067567912

discriminant (Δ)

-26077702479462719741571343076193308317798414437262755242292269242580032211075710941532570368

Faltings height

16.3813

naive height

222.5362

primes of bad reduction

2, 3, 7, 11, 13, 17, 41, 1439, 2053, 33679, 234172987, 78255629431673991134903602868927890496214205464769

regulator

3686415008978526088327.904846095709153526338266418990852676138427210479683525697640

submitted by

Ritik Jain

submitted at

2026-09-25 20:01:02 UTC

later contributions

(5250550011698212381508182949741230984934/5111041710844260889201729, 47885169425083881749619672160068052398086111208787909772478/11554845365034758177060257665000433567)
(-1111377719069062882/529, -219591399279133568336897478/12167)
(151091215712796914/121, -14891214592919672680197798/1331)
(1083047651694506, 3653835767923885348266)
(101503295130742050473/16384, 981627579374391994656577886613/2097152)
(3302724454771799, 164927236953565218462498)
(84183994790184322394/116281, -738293102447746883456927930142/39651821)
(-688665394949479132/529, -831278514263745071875493772/12167)
(-356507584621002044/169, -34079813025803718708906756/2197)
(-60855441247420, -51408938147838591626748)
(185587130494024106/169, 8718468033376294111789794/2197)
(8322836882338020311/2209, 21547705735838349893037227994/103823)
(41485532956112456/49, 4281969000079410719815476/343)
(59526251606490551, -14516311152065646136979766)
(928145471976056126/3481, -8073995288879462958210950286/205379)
(3149780069034365/4, 123697138680839747664291/8)
(-4419206859564461345441005417/4197323295169, -599375129632889042196388069583646595145058/8599211535774651553)
(148530287189252328386/113569, 559230556875694046701470124254/38272753)
(-1839677744076626030134/900601, 25304909290161480427581876854034/854670349)
(1660204833437830, 36757376670443452710498)
(-440566246388151469/625, 1046845257205436181975422304/15625)
(37390733269222722146/10201, 203946368657029021854388314666/1030301)

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