Properties

Label 159936.iy
Number of curves $1$
Conductor $159936$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("iy1")
 
sage: 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)
 
\(q + q^{3} + q^{5} + q^{9} + 4q^{11} - 5q^{13} + q^{15} - q^{17} + 8q^{19} + O(q^{20})\)  Toggle raw display