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SageMath
E = EllipticCurve("iy1")
E.isogeny_class()
Elliptic curves in class 159936.iy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.iy1 | 159936bn1 | \([0, 1, 0, -156865, 3463487]\) | \(5764801/3264\) | \(241696561623465984\) | \([]\) | \(1935360\) | \(2.0255\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.iy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159936.iy do not have complex multiplication.Modular form 159936.2.a.iy
sage: E.q_eigenform(10)