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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 338100f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 338100.f1 | 338100f1 | \([0, -1, 0, -163333, 26740162]\) | \(-655360000/39123\) | \(-28767386418750000\) | \([]\) | \(2592000\) | \(1.9136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338100f do not have complex multiplication.Modular form 338100.2.a.f
sage: E.q_eigenform(10)