Properties

Label 163254dk
Number of curves $1$
Conductor $163254$
CM no
Rank $1$

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

Elliptic curves in class 163254dk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
163254.o1 163254dk1 \([1, 1, 0, -610262, 183260628]\) \(-30812503761481/3956736\) \(-3227631110086656\) \([]\) \(2368704\) \(1.9971\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 163254dk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 163254dk do not have complex multiplication.

Modular form 163254.2.a.dk

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - q^{10} + 6 q^{11} - q^{12} + q^{14} - q^{15} + q^{16} - q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display