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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 218709b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
218709.b1 | 218709b1 | \([1, -1, 0, -396, -2943]\) | \(-9434056897/24301\) | \(-17715429\) | \([]\) | \(86016\) | \(0.26699\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 218709b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 218709b do not have complex multiplication.Modular form 218709.2.a.b
sage: E.q_eigenform(10)