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curve #1215
y2 + xy = x3 − 1271376476514788123979112128312980x + 248131717764014678423337299444388036083025142487952
- a-invariants
[1, 0, 0, -1271376476514788123979112128312980, 248131717764014678423337299444388036083025142487952]- rank (lower bound)
- ≥ 9
- torsion subgroup
- ℤ/5ℤ
- conductor (N)
1640117277359340955453610481504810 ☆ record for ℤ/5ℤ torsion, rank ≥ 9- discriminant (Δ)
-26466435686735005792848503808543582783801663895324578389100253831634673872996338976711226957252710400000 ☆ record for ℤ/5ℤ torsion, rank ≥ 9- Faltings height
- 18.5244 ☆ record for ℤ/5ℤ torsion, rank ≥ 9
- naive height
- 245.5992 ☆ record for ℤ/5ℤ torsion, rank ≥ 9
- primes of bad reduction
2, 3, 5, 7, 13, 29, 41, 73, 131, 163, 277, 2579, 134731, 3367828729- regulator
269727752.34148177514636724459526288865028568490867851701- submitted by
- dujella
- submitted at
- last updated
(-14321012301695918, -16229664177818781437394920)(10577225558843944, 15357976348226927412589228)(-27958139052681656, -16180956320789973349299572)(-12613875480867206, -16191408531364576440288722)(-65967350243410856, -6703097091935764599385172)(-15013641556597656, -16243013630316451507874772)(31847899142275944, 15490126243819265114358828)(21591375902627529544, 100327476981383170234740234028)(160382787921354544, 64573162419225467324709028)
Commentary
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