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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 54390b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54390.g1 | 54390b1 | \([1, 1, 0, -19598898, 33391788858]\) | \(-144422342436306640489/19351653425550\) | \(-111558431019264065550\) | \([]\) | \(6420960\) | \(2.8658\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54390b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54390b do not have complex multiplication.Modular form 54390.2.a.b
sage: E.q_eigenform(10)