Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 235200w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 235200.w1 | 235200w1 | \([0, -1, 0, -80033, -613740063]\) | \(-392/1125\) | \(-162705743424000000000\) | \([]\) | \(8515584\) | \(2.5572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235200w do not have complex multiplication.Modular form 235200.2.a.w
sage: E.q_eigenform(10)