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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 46200.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 46200.f1 | 46200bt1 | \([0, -1, 0, -1408, 57937]\) | \(-1235663104/4991679\) | \(-1247919750000\) | \([]\) | \(67200\) | \(1.0063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46200.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46200.f do not have complex multiplication.Modular form 46200.2.a.f
sage: E.q_eigenform(10)