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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 115920.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 115920.w1 | 115920a1 | \([0, 0, 0, 2172, -48452]\) | \(163945479168/241600625\) | \(-1669943520000\) | \([]\) | \(153600\) | \(1.0308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 115920.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 115920.w do not have complex multiplication.Modular form 115920.2.a.w
sage: E.q_eigenform(10)