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SageMath
E = EllipticCurve("mx1")
E.isogeny_class()
Elliptic curves in class 458640.mx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 458640.mx1 | 458640mx1 | \([0, 0, 0, 2058, 170471]\) | \(14336/195\) | \(-13111924578480\) | \([]\) | \(967680\) | \(1.1978\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640.mx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 458640.mx do not have complex multiplication.Modular form 458640.2.a.mx
sage: E.q_eigenform(10)