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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 64974.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64974.b1 | 64974d1 | \([1, 1, 0, 661, 18411]\) | \(270840023/1364454\) | \(-160526648646\) | \([]\) | \(78336\) | \(0.83236\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64974.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 64974.b do not have complex multiplication.Modular form 64974.2.a.b
sage: E.q_eigenform(10)