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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 455175.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.b1 | 455175b1 | \([0, 0, 1, -248720625, -1509837827344]\) | \(-1269043200/49\) | \(-65702029803212373046875\) | \([]\) | \(181543680\) | \(3.4632\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 455175.b do not have complex multiplication.Modular form 455175.2.a.b
sage: E.q_eigenform(10)