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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 169338.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169338.y1 | 169338d1 | \([1, 0, 0, -10719758, -10458366972]\) | \(167005909852146625/38732015075328\) | \(31594894583180178751488\) | \([]\) | \(18285696\) | \(3.0294\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169338.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 169338.y do not have complex multiplication.Modular form 169338.2.a.y
sage: E.q_eigenform(10)