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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 114264bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
114264.c1 | 114264bo1 | \([0, 0, 0, -57132, 6570180]\) | \(-3072\) | \(-6713373088942848\) | \([]\) | \(887040\) | \(1.7495\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 114264bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 114264bo do not have complex multiplication.Modular form 114264.2.a.bo
sage: E.q_eigenform(10)