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SageMath
E = EllipticCurve("gx1")
E.isogeny_class()
Elliptic curves in class 162624gx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162624.k1 | 162624gx1 | \([0, -1, 0, -887, 9429]\) | \(82458112/9261\) | \(8677779264\) | \([]\) | \(152064\) | \(0.63981\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624gx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162624gx do not have complex multiplication.Modular form 162624.2.a.gx
sage: E.q_eigenform(10)