curve #1953

y² = x³ + x² − 59402258741678464799351527025x + 5572313160454626512679242202564700233349779

a-invariants: [0, 1, 0, -59402258741678464799351527025, 5572313160454626512679242202564700233349779]
rank (lower bound): ≥ 17
torsion subgroup: trivial
conductor (N): 14613413623945708945178893491603923635504978641365928
discriminant (Δ): 1052457782409450475305144971304863930783506013548574071568466518080243587521425612032
Faltings height: 15.1985
naive height: 210.3760
primes of bad reduction: 2, 3, 7, 13, 19, 23, 29, 41, 43, 53, 83, 107, 113, 296344936874721276585402755633273
regulator: 40016950987849.1353831784404278567235512576341886150611629500940922931990
submitted by: Ritik Jain
submitted at: 2026-09-25 20:06:28 UTC
last updated: 2026-09-25 20:06:28 UTC

(43608702064281947478266958358158463/267549320402395714489, -2054304661598829133097156361194692816639884042548442/4376286825190356079214618344237)
(4868952518351104618654/37124649, 43813876473638481525520647928213/226200486357)
(308882399880817807/2209, 1099505650414543203039390/103823)
(174890102653855171/1225, 1697798422456281930273294/42875)
(-335100611617931669/1225, 49851520346015946675728946/42875)
(11802387475489921/16, -1219579863423133971291351/64)
(-185486229623756735/3481, 601809100674205884863992758/205379)
(297907714965183331, 162600725956175673430211766)
(-256362195422741, 1988034031114509189942)
(2128850746764295, 97606747039069975823298)
(7826970912120985801/44521, -7046961275610367360247735646/9393931)
(124749083771827, 321438491888891913354)
(142437663055969, 32234179258591164582)
(211197565042442451/25, 97018499031562906440814626/125)
(494381075988474313/3481, -4617119269140392944596030/205379)
(1463787618113833720416577/1023296121, 1746808536567486959818878571179878006/32734219614669)
(4051368665225088076615/28955161, 1086993366293975319720746533818/155807721341)

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