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curve #5106
y2 = x3 − 53237239386512214817074223469128023390279303675
- a-invariants
[0, 0, 0, 0, -53237239386512214817074223469128023390279303675]- c-invariants
[0, 45996974829946553601952129077326612209201318375200]- rank (lower bound)
- ≥ 6
- torsion subgroup
- trivial
- families
- y2 = x3 + k (Mordell curves); x3 + y3 = A (cube-sum curves)
- conductor (N)
212948957546048859268296893876512093561117214700- discriminant (Δ)
-1224375980038620823870647393858142883340498507670584564847951561382594905752496096482519194430000- Faltings height
- 17.1164
- naive height
- 228.7053
- primes of bad reduction
2, 3, 5, 7, 11, 17, 29, 41, 47, 59, 101, 137, 239, 433, 479- regulator
2498040506.7712258989991921565727402425466858291822- submitted by
- Andrii Prokhorenkov
- submitted at
- last updated
(29657621625322321/4, 4762237394194048077164281/8)(67396207068417649/16, 9384593930910500664059657/64)(31033060795824739, 5461975715949376955434088)(33052237436424991, 6004555999754143932938186)(117338584357863956719/27889, 678776670775096350974905838122/4657463)(16539269445665397811059619/1396890625, 66175243949502846080517184297679841472/52208787109375)
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