Properties

Label 132496du
Number of curves $1$
Conductor $132496$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("du1")
 
E.isogeny_class()
 

Elliptic curves in class 132496du

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
132496.cu1 132496du1 \([0, 1, 0, -135256, -20084492]\) \(-235298/13\) \(-15118950966339584\) \([]\) \(628992\) \(1.8624\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 132496du1 has rank \(0\).

Complex multiplication

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

Modular form 132496.2.a.du

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