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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 169338y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169338.d1 | 169338y1 | \([1, 1, 0, -126922, -17940632]\) | \(-277199830921/9036036\) | \(-7370972161261956\) | \([]\) | \(1198080\) | \(1.8199\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169338y1 has rank \(2\).
Complex multiplication
The elliptic curves in class 169338y do not have complex multiplication.Modular form 169338.2.a.y
sage: E.q_eigenform(10)