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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 9660.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9660.f1 | 9660f1 | \([0, 1, 0, -24325925, 188071325175]\) | \(-6218589009063615570313216/56094690913037211867075\) | \(-14360240873737526237971200\) | \([]\) | \(2210208\) | \(3.5097\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9660.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9660.f do not have complex multiplication.Modular form 9660.2.a.f
sage: E.q_eigenform(10)