curve #1940

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y² + xy = x³ − x² − 380697452820790621426460777134x + 100002865542898839189746099286298908075249064

a-invariants

[1, -1, 0, -380697452820790621426460777134, 100002865542898839189746099286298908075249064]

rank (lower bound)

≥ 22

torsion subgroup

trivial

conductor (N)

30622988507736876493307651961143054885404380345165656210121098992621476049514

discriminant (Δ)

-789067334080360320428447558743655972326788092384250790398446338549855065261038547923412068

Faltings height

15.9830

naive height

216.1507

primes of bad reduction

2, 7, 11, 23, 31, 37, 41, 4276804225378265233, 39811808185333820773307, 98158470201994554745564781

regulator

4482472420785006947560.148674912653691913677631761254260700775579078551667107042310

submitted by

Ritik Jain

submitted at

2026-09-25 20:00:58 UTC

later contributions

primes of bad reduction recorded · Daniel Błażewicz · 2026-09-25 20:04:59 UTC

Witness: 22 independent points log in to add more points →

(1079450057325875/4, -32906988464048632683439/8)
(721031406782695759/100, -610089667014919417021252693/1000)
(5766541505433699534919/5026564, -385989724120072215155698504696833/11269556488)
(-186096211190738635330625598140614755/284497493873064571009, 39901493463305412350543938175808159287234335080505871/4798634450626394809782545694527)
(58516289240443603/324, 35540654829213068334195805/5832)
(5569256319217986/25, -640435958583584414801224/125)
(-10675100831817539/16, -483198483403203987902095/64)
(18575043434551430957/34969, 45144370877827256249127279811/6539203)
(1769733121257445, -70491099890711104301407)
(759791953401430077/16, 662225003235107970066534107/64)
(370942946993018, -3134818617964374707930)
(130385299136760266/361, 21272663818153586239799136/6859)
(-109920253088764, 11854160447916470350264)
(-394525337642939, -13740075943752498450975)
(292104576527030, -3704489951958559877978)
(17068386809789735029/15625, -61380874251804687818986502667/1953125)
(4184735014703723108359658/9185113921, 4046140910738784632667248919720806778/880292133074719)
(-89716504377412928104088869192582298618046810759/136336252208282788974116617156864, 12889772951130592785462758146707381876061981788329318711834483902433531/1591904560988235270740461138008289401123062362112)
(444489780880782924161639961236920462389205051501/400182869713677235855290180513529, 259090689593204792716314248229132812738802922366374582669525932710599006/8005486718387527031074768266820227050225741335667)
(737442611958567606640484139521778886590265/14539520315489289896042423809, 15761458608032252122222687408215910426096925338119108492773525454/1753174389907352448210092843860190671493377)
(-1218546796957884546685954285837052371742645909041065/2617109058972656903222478223266422401, 56218913229355841204051410426709876945796176431498803659601302255760205100212/4233823324058190799168245695381807258715103121431987649)
(192079456080672407699122363495190831866/40713511272380422879225, 2640495728068067833461144197179600463611637170150478854256/8215005122038881283753845195194125)

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