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curve #5768
y2 = x3 + 9864494098636100x
- a-invariants
[0, 0, 0, 9864494098636100, 0]- c-invariants
[-473495716734532800, 0]- rank (lower bound)
- ≥ 10
- torsion subgroup
- ℤ/2ℤ
- family
- y2 = x3 + ax (quartic twists)
- conductor (N)
7784659505762115439670417856800- discriminant (Δ)
-61433382203585445326591034915817409572088384000000- Faltings height
- 8.2430
- naive height
- 122.0968
- primes of bad reduction
2, 5, 7, 11, 17, 73, 373, 1597, 1733- regulator
539546115308.2227678107577258964334042941801923307962280199- submitted by
- Michael Rubinstein
- submitted at
- last updated
(294863130, 5342783342700)(2336380330/9, 120914682076700/27)(74903479225/676, 27530001569131725/17576)(479930316250/529, 334467762828391500/12167)(1042343454650/961, 1068635114551872300/29791)(3306761479945/2704, 6032980352544193125/140608)(67719300988480/982081, 977161682134435650000/973242271)(2136403949690000/57714409, 282753139262434145073000/438456365173)(2371231270324170/14205361, 134361207812144428079700/53540005609)(90969637814923520/57410929, 27491356948219585695789600/435002609033)
Commentary
last edited by Michael Rubinstein at · history
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