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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 2760.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2760.b1 | 2760e1 | \([0, -1, 0, -281, -54099]\) | \(-9619385344/4950372915\) | \(-1267295466240\) | \([]\) | \(3072\) | \(1.0014\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2760.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2760.b do not have complex multiplication.Modular form 2760.2.a.b
sage: E.q_eigenform(10)