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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 450800.cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.cw1 | 450800cw1 | \([0, 0, 0, 209965, 746652690]\) | \(84972077055/20040095362\) | \(-241428191154579251200\) | \([]\) | \(9289728\) | \(2.5903\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.cw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800.cw do not have complex multiplication.Modular form 450800.2.a.cw
sage: E.q_eigenform(10)