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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 482734f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
482734.f1 | 482734f1 | \([1, 0, 1, -17679, 94530]\) | \(1027243729/587776\) | \(349622872324096\) | \([]\) | \(2215136\) | \(1.4804\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 482734f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 482734f do not have complex multiplication.Modular form 482734.2.a.f
sage: E.q_eigenform(10)