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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 113288.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
113288.bc1 | 113288s1 | \([0, 0, 0, -1288651, 1391941334]\) | \(-1660932/4913\) | \(-700042761234208867328\) | \([]\) | \(9289728\) | \(2.6867\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 113288.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 113288.bc do not have complex multiplication.Modular form 113288.2.a.bc
sage: E.q_eigenform(10)