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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 142296.cw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 142296.cw1 | 142296m1 | \([0, 1, 0, 235184, 99264416]\) | \(68782/243\) | \(-5082491452865992704\) | \([]\) | \(2268000\) | \(2.2723\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142296.cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142296.cw do not have complex multiplication.Modular form 142296.2.a.cw
sage: E.q_eigenform(10)