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SageMath
E = EllipticCurve("fe1")
E.isogeny_class()
Elliptic curves in class 458640.fe
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 458640.fe1 | 458640fe1 | \([0, 0, 0, 733677, -22276478]\) | \(10149078716/5923125\) | \(-25489581380565120000\) | \([]\) | \(7225344\) | \(2.4132\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640.fe1 has rank \(0\).
Complex multiplication
The elliptic curves in class 458640.fe do not have complex multiplication.Modular form 458640.2.a.fe
sage: E.q_eigenform(10)