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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 190608.cw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 190608.cw1 | 190608x1 | \([0, 1, 0, -880, -8044]\) | \(51026761/11979\) | \(17712820224\) | \([]\) | \(138240\) | \(0.67822\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608.cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190608.cw do not have complex multiplication.Modular form 190608.2.a.cw
sage: E.q_eigenform(10)