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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 3864f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 3864.f1 | 3864f1 | \([0, 1, 0, -201, -1173]\) | \(-3525581824/23667\) | \(-6058752\) | \([]\) | \(1632\) | \(0.13654\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3864f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3864f do not have complex multiplication.Modular form 3864.2.a.f
sage: E.q_eigenform(10)