curve #1954

y² = x³ + x² − 888400380535371099894242822672985x + 10182512992613053776969581419941549638522749867275

a-invariants: [0, 1, 0, -888400380535371099894242822672985, 10182512992613053776969581419941549638522749867275]
rank (lower bound): ≥ 17
torsion subgroup: trivial
conductor (N): 24738414999984993826690495705772768255776992466892520
discriminant (Δ): 83875130896922878170674762707163133788670984869081470196782231834319149514162425773962040180000000
Faltings height: 17.7055
naive height: 239.2145
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 19, 23, 41, 43, 47, 53, 59, 229, 5669, 82414987687396387093131489317
regulator: 9522024336443.01646305919062106754381055289048342372445332357728846115711
submitted by: Ritik Jain
submitted at: 2026-09-25 20:06:32 UTC
last updated: 2026-09-25 20:06:32 UTC

(1547981441505221030359831245/92274390289, -206943531791883450333484893212905620750/28029914714918663)
(568664568682650959205/19321, -8291195050726365167975930695350/2685619)
(4020122292535691805, -8060221819130328063226360350)
(140453042307470355, 51537647999340037286101350)
(-2566829089937298210195/111556, -160009481603505721280328803492925/37259704)
(6451590292042532668917645/1369, 16387027012368207105889755923959380750/50653)
(812694876269750805/121, -2829297928942062625813652250/1331)
(15455157296568023, -379201009757389294042854)
(1172733055437488430/361, 18571009063093310088060971175/6859)
(-483728284261429876455/16384, -6852206904875720019801598153725/2097152)
(827570463653637075, -752366618797721988138517530)
(8880161202468297750, 26462375711714687788567418895)
(27183190427112498195/1369, -30850396966989612044679657150/50653)
(-74476725375168065/9, -111217458206100490434493730/27)
(1242322141867417883896526954666396034697838964609709325395780510293074731138192605/66274966372561637471134936640370897651492358346388977539476380281, -5810216542485344007944400800380483390957045707755255902813026239608204108899376304835889767562847044246104876401916833250/17061777499254819666446396622597620074692577876404962237851550407330495771043811098286948640468429)
(993007580930507918275077/142157929, 3521929542883976995884001138099906602/1694948987467)
(-17042624899097034555/529, 28183511398052857657118558250/12167)

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