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SageMath
E = EllipticCurve("dr1")
E.isogeny_class()
Elliptic curves in class 58800.dr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.dr1 | 58800by1 | \([0, -1, 0, 117, 162]\) | \(358400/243\) | \(-119070000\) | \([]\) | \(11520\) | \(0.23827\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.dr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.dr do not have complex multiplication.Modular form 58800.2.a.dr
sage: E.q_eigenform(10)