Properties

Label 132496dw
Number of curves $1$
Conductor $132496$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dw1")
 
E.isogeny_class()
 

Elliptic curves in class 132496dw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
132496.da1 132496dw1 \([0, 1, 0, -2760, -52753]\) \(12544\) \(185426694544\) \([]\) \(92160\) \(0.90560\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 132496dw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 132496dw do not have complex multiplication.

Modular form 132496.2.a.dw

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{9} + 3 q^{11} + q^{15} - 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display