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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 1560f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1560.j1 | 1560f1 | \([0, 1, 0, -105, 603]\) | \(-504871936/394875\) | \(-101088000\) | \([]\) | \(480\) | \(0.23460\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1560f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1560f do not have complex multiplication.Modular form 1560.2.a.f
sage: E.q_eigenform(10)