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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 20328f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20328.w1 | 20328f1 | \([0, 1, 0, -260, -1839]\) | \(-91625216/9261\) | \(-197222256\) | \([]\) | \(6912\) | \(0.33165\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20328f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20328f do not have complex multiplication.Modular form 20328.2.a.f
sage: E.q_eigenform(10)