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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 16830.cw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 16830.cw1 | 16830cm1 | \([1, -1, 1, -667415102, -6636925688371]\) | \(-45100802713464654722769650329/4293192974400000000000\) | \(-3129737678337600000000000\) | \([]\) | \(5385600\) | \(3.7371\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16830.cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16830.cw do not have complex multiplication.Modular form 16830.2.a.cw
sage: E.q_eigenform(10)