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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 61347q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61347.z1 | 61347q1 | \([0, -1, 1, 74980, -1514173]\) | \(45056/27\) | \(-27936073153099683\) | \([]\) | \(912384\) | \(1.8450\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61347q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61347q do not have complex multiplication.Modular form 61347.2.a.q
sage: E.q_eigenform(10)