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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 201810cw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 201810.d1 | 201810cw1 | \([1, 1, 0, -385274018, 8984079629172]\) | \(-6581266733051300157783783529/32476057108878458880000000\) | \(-31209490881632198983680000000\) | \([]\) | \(280869120\) | \(4.1520\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 201810cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 201810cw do not have complex multiplication.Modular form 201810.2.a.cw
sage: E.q_eigenform(10)