Properties

Label 42336.cy
Number of curves $1$
Conductor $42336$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cy1")
 
E.isogeny_class()
 

Elliptic curves in class 42336.cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
42336.cy1 42336ce1 \([0, 0, 0, 1176, -5488]\) \(1536\) \(-117099343872\) \([]\) \(36288\) \(0.81273\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 42336.cy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 42336.cy do not have complex multiplication.

Modular form 42336.2.a.cy

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} + 2 q^{11} - q^{13} + 6 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display