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curve #6189
y2 = x3 + 14761683167770178703x
- a-invariants
[0, 0, 0, 14761683167770178703, 0]- c-invariants
[-708560792052968577744, 0]- rank (lower bound)
- ≥ 12
- torsion subgroup
- ℤ/2ℤ
- family
- y2 = x3 + ax (quartic twists)
- conductor (N)
774781475362237930243225457907750265632 ☆ record for quartic twists, rank ≥ 12- discriminant (Δ)
-205867415943988075334218613797347047869097613775974466235328 ☆ record for quartic twists, rank ≥ 12- Faltings height
- 10.0707 ☆ record for quartic twists, rank ≥ 12
- naive height
- 144.0293 ☆ record for quartic twists, rank ≥ 12
- primes of bad reduction
2, 3, 7, 29, 41, 53, 61, 157, 197, 881, 2237- regulator
155475007933.95214882195987397813226986594571746424660422371701- submitted by
- NDElkies
- submitted at
- last updated
(13643369551, 1655595608274748)(8099470017, -806782808746692)(65999388175, 16984176953933420)(3877993729, 339950325753676)(14551910937/4, -2553126781933323/8)(116613756, 41509048682178)(411114375, 78346822894200)(7717906233/4, -1510825595002011/8)(2362023854064, -3630170250566457444)(14037760359, 1724379308973216)(8509594977/4, 1620512936928873/8)(334324743649/9, -194340530724646384/27)
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