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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 458640q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 458640.q1 | 458640q1 | \([0, 0, 0, 5292, 534492]\) | \(1354752/10985\) | \(-132899540417280\) | \([]\) | \(1479168\) | \(1.3915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 458640q do not have complex multiplication.Modular form 458640.2.a.q
sage: E.q_eigenform(10)