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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 309168.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 309168.f1 | 309168f1 | \([0, 0, 0, -3099, 66346]\) | \(2204605874/2147\) | \(3205453824\) | \([]\) | \(207360\) | \(0.74469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168.f do not have complex multiplication.Modular form 309168.2.a.f
sage: E.q_eigenform(10)