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SageMath
E = EllipticCurve("fx1")
E.isogeny_class()
Elliptic curves in class 259182.fx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.fx1 | 259182fx1 | \([1, -1, 1, -286388246, -1761084428507]\) | \(1090718342617689660877299/68598829524107395072\) | \(163377922144283708721463296\) | \([]\) | \(138654720\) | \(3.7809\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.fx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182.fx do not have complex multiplication.Modular form 259182.2.a.fx
sage: E.q_eigenform(10)