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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 3960.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 3960.f1 | 3960o1 | \([0, 0, 0, -603, 6102]\) | \(-16241202/1375\) | \(-2052864000\) | \([]\) | \(2016\) | \(0.53187\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3960.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3960.f do not have complex multiplication.Modular form 3960.2.a.f
sage: E.q_eigenform(10)