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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 58800.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.v1 | 58800bc1 | \([0, -1, 0, 992, -27488]\) | \(68782/243\) | \(-381024000000\) | \([]\) | \(67200\) | \(0.90514\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.v do not have complex multiplication.Modular form 58800.2.a.v
sage: E.q_eigenform(10)