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SageMath
E = EllipticCurve("fg1")
E.isogeny_class()
Elliptic curves in class 259182.fg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.fg1 | 259182fg1 | \([1, -1, 1, 1066, 241805]\) | \(12562583/2379048\) | \(-25392266848872\) | \([]\) | \(663552\) | \(1.2514\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.fg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182.fg do not have complex multiplication.Modular form 259182.2.a.fg
sage: E.q_eigenform(10)