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SageMath
E = EllipticCurve("gx1")
E.isogeny_class()
Elliptic curves in class 129360.gx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129360.gx1 | 129360cs1 | \([0, 1, 0, -301905, -96302277]\) | \(-101043379262464/74271536955\) | \(-2236920845112011520\) | \([]\) | \(2396160\) | \(2.2204\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129360.gx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 129360.gx do not have complex multiplication.Modular form 129360.2.a.gx
sage: E.q_eigenform(10)