Properties

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

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Show commands: SageMath
E = EllipticCurve("dk1")
 
E.isogeny_class()
 

Elliptic curves in class 132496dk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
132496.bf1 132496dk1 \([0, -1, 0, -135256, 17823779]\) \(12544\) \(21815265186407056\) \([]\) \(645120\) \(1.8786\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 132496dk1 has rank \(0\).

Complex multiplication

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

Modular form 132496.2.a.dk

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