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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 11550.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11550.bc1 | 11550ba1 | \([1, 0, 1, -116, 488]\) | \(-6819690145/336798\) | \(-8419950\) | \([]\) | \(3360\) | \(0.090238\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11550.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11550.bc do not have complex multiplication.Modular form 11550.2.a.bc
sage: E.q_eigenform(10)