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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 79560d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79560.k1 | 79560d1 | \([0, 0, 0, -963, 11503]\) | \(-228622424832/14365\) | \(-6205680\) | \([]\) | \(23552\) | \(0.36220\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79560d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79560d do not have complex multiplication.Modular form 79560.2.a.d
sage: E.q_eigenform(10)