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SageMath
E = EllipticCurve("hp1")
E.isogeny_class()
Elliptic curves in class 58800.hp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.hp1 | 58800dv1 | \([0, 1, 0, -1841583, 982059588]\) | \(-46028377077760/1162261467\) | \(-17441186139168750000\) | \([]\) | \(1094400\) | \(2.4762\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.hp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.hp do not have complex multiplication.Modular form 58800.2.a.hp
sage: E.q_eigenform(10)