curve #6222

y² = x³ + x² − 18322670108356960924004578700775620x + 978105069579697385591059763088000432341914913254944

a-invariants

[0, 1, 0, -18322670108356960924004578700775620, 978105069579697385591059763088000432341914913254944]

c-invariants

[879488165201134124352219777637229776, -845082780116858546427604626514837119656733150875650240]

rank (lower bound)

≥ 24

torsion subgroup

trivial

conductor (N)

22994907241887012957991409027493851216996933995197767821104075608659827564245650862398056

discriminant (Δ)

-19607238643065874971370777907230163810768143643305258797695501973117082987759109370430340183375668209408

Faltings height

18.5994

naive height

248.3425

primes of bad reduction

2, 3, 17, 23, 127, 283, 232169682614963339785006134051037183, 293662166687771182361300281905398960011912603

regulator

8536553249761075656852181.9477537692118210190558131343192209781409497843582007540160771

submitted by

apkorte

submitted at

2026-10-31 01:21:30 UTC

later contributions

(87761307792413338, -6784195514834815426594590)
(-87645818989341188, -43711940676456185191117776)
(113225733721313560, 18843268558794886507485312)
(21978402559949262466, -103035283120488274469487526374)
(12060675456266566, 27547697480287672767419874)
(75993602094505990, -4956260130625293652306338)
(4100688999613755511/169, 51421153623136961427510145866/2197)
(104679034078104856, -14392606817271389606725824)
(26811740049092206, 22497034054087845868327926)
(-80654673924968678, 43945889104046705646804894)
(106298686180619371, -15216498284288413051041624)
(69184847047373830, -6450596111392153835040162)
(1836868493784825106/25, 667408478791141408527243054/125)
(62948246616641800, 8611410538884306375171288)
(88096770103705006, -6903596854452370500352074)
(308396259733655110, -157030225244352397947724062)
(77595518414943334, 4853411517939367441741182)
(98816041637541004, 11507886598607428643009112)
(175303425561386815, 56154953661754953649153338)
(-126242331279297941, -35766767998762755142596168)
(-954685592437562, 31553075739509399693212830)
(-152058437811312834, 15759494401196481508449126)
(50665780564374422131/25, -359854434550259143865175034296/125)
(682655301664981311154/6889, -6655822420493096960621474512638/571787)

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