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SageMath
E = EllipticCurve("gx1")
E.isogeny_class()
Elliptic curves in class 58800.gx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 58800.gx1 | 58800ek1 | \([0, 1, 0, 242147792, 2525136209588]\) | \(16683494528422270/38919722282469\) | \(-3663093125448156304800000000\) | \([]\) | \(31933440\) | \(3.9730\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.gx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.gx do not have complex multiplication.Modular form 58800.2.a.gx
sage: E.q_eigenform(10)