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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 5544.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5544.v1 | 5544a1 | \([0, 0, 0, -120231, -16047477]\) | \(-610325920583424/55240493\) | \(-17396777979504\) | \([]\) | \(23040\) | \(1.5801\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5544.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5544.v do not have complex multiplication.Modular form 5544.2.a.v
sage: E.q_eigenform(10)