curve #4323

y² = x³ − 739431074852767844236975x + 331314067119134775943540728349251250

a-invariants

[0, 0, 0, -739431074852767844236975, 331314067119134775943540728349251250]

c-invariants

[35492691592932856523374800, -286255353990932446415219189293753080000]

rank (lower bound)

≥ 19

torsion subgroup

trivial

conductor (N)

40475339116507435307125435712606155771861961364063680791605800

discriminant (Δ)

-21545647141446084358635305304038945104284124145535331147329573901436000000

Faltings height

12.7770

naive height

177.0999

primes of bad reduction

2, 5, 7, 13, 47, 127, 160113632370089479, 392731995558810161, 5925062485692821329

regulator

1809010806351229991338.264616631306101549205057770566218565312091561805972183

submitted by

Volkan Dagli

submitted at

2026-10-17 10:04:49 UTC

later contributions

(-970718682390, 366593095457675450)
(-773876344285, 663385002986262200)
(-10820970435, 582506791251917350)
(311351425565, 362316801738086650)
(10634363399210, 34570286971702839350)
(-8749733599933367910/11042329, 23772128359460856772080952450/36693659267)
(-18608923652453635/18769, 770580049130582074024550/2571353)
(-4920357827077050/26569, 2943312876653574688299400/4330747)
(-1194648346644979/1849, 58390111521746084492006/79507)
(-9021394543939/25, 92799559381149505066/125)
(5926057921675/9, 9731669860964870000/27)
(41550648706489/25, 240228569263809726362/125)
(45598260503725/81, 222858949520975008150/729)
(52255360864475/361, 3270190783736195299400/6859)
(123003296777290/81, 1200146417849323085050/729)
(2331270815585515/2601, 82692167641163187562000/132651)
(3732485387760001/324, 227421342031485478684951/5832)
(10877283897890735/10201, 895370166842159983221800/1030301)
(386626212348648915/351649, 191958701609619723138642800/208527857)

BASE families/family_trivial.tsv.gz:114 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:04:49 UTC · history