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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 12480bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12480.e1 | 12480bo1 | \([0, -1, 0, 779, 1567021]\) | \(3186827264/64769371875\) | \(-1061181388800000\) | \([]\) | \(49920\) | \(1.5621\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12480bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12480bo do not have complex multiplication.Modular form 12480.2.a.bo
sage: E.q_eigenform(10)