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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 202160.cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202160.cw1 | 202160cy1 | \([0, 0, 0, 33212, -1838212]\) | \(336393216/315875\) | \(-3804318121184000\) | \([]\) | \(1797120\) | \(1.6768\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202160.cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202160.cw do not have complex multiplication.Modular form 202160.2.a.cw
sage: E.q_eigenform(10)