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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 266616.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 266616.f1 | 266616f1 | \([0, 0, 0, -3613599, 2584051794]\) | \(13224816/343\) | \(135346822985490326784\) | \([]\) | \(8902656\) | \(2.6447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266616.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 266616.f do not have complex multiplication.Modular form 266616.2.a.f
sage: E.q_eigenform(10)