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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 6468f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 6468.f1 | 6468f1 | \([0, -1, 0, -83610, 9333549]\) | \(-34339609640704/916839\) | \(-1725843064176\) | \([]\) | \(17280\) | \(1.4530\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6468f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6468f do not have complex multiplication.Modular form 6468.2.a.f
sage: E.q_eigenform(10)