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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 59290b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59290.a1 | 59290b1 | \([1, -1, 0, -69295, -2695379]\) | \(6499899/3200\) | \(18116583699491200\) | \([]\) | \(887040\) | \(1.8128\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59290b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59290b do not have complex multiplication.Modular form 59290.2.a.b
sage: E.q_eigenform(10)