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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 88445.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.bc1 | 88445bt1 | \([1, 1, 0, -13360617, 18791116744]\) | \(877952898529/15625\) | \(4694097603628890625\) | \([]\) | \(3742848\) | \(2.7100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88445.bc do not have complex multiplication.Modular form 88445.2.a.bc
sage: E.q_eigenform(10)