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SageMath
E = EllipticCurve("gx1")
E.isogeny_class()
Elliptic curves in class 232050.gx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
232050.gx1 | 232050gx1 | \([1, 0, 0, -741713, -245930583]\) | \(-2888094474031216969/10826524800\) | \(-169164450000000\) | \([]\) | \(3386880\) | \(1.9454\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 232050.gx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 232050.gx do not have complex multiplication.Modular form 232050.2.a.gx
sage: E.q_eigenform(10)