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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 100014.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100014.b1 | 100014b1 | \([1, 1, 1, -107, 377]\) | \(135559106353/1600224\) | \(1600224\) | \([]\) | \(25760\) | \(0.0023165\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100014.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 100014.b do not have complex multiplication.Modular form 100014.2.a.b
sage: E.q_eigenform(10)