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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 433200cw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 433200.cw1 | 433200cw1 | \([0, -1, 0, 5700792, -24970883088]\) | \(272199695/3735552\) | \(-281187735778099200000000\) | \([]\) | \(33177600\) | \(3.1802\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 433200cw do not have complex multiplication.Modular form 433200.2.a.cw
sage: E.q_eigenform(10)