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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 215950bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215950.p1 | 215950bc1 | \([1, -1, 0, -292, 2366]\) | \(-176558481/43190\) | \(-674843750\) | \([]\) | \(186048\) | \(0.41249\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215950bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215950bc do not have complex multiplication.Modular form 215950.2.a.bc
sage: E.q_eigenform(10)