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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 243008.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
243008.b1 | 243008b1 | \([0, 1, 0, -101, 67]\) | \(7023616/3797\) | \(62210048\) | \([]\) | \(146432\) | \(0.18652\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 243008.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 243008.b do not have complex multiplication.Modular form 243008.2.a.b
sage: E.q_eigenform(10)