Properties

Label 151725dk
Number of curves $1$
Conductor $151725$
CM no
Rank $1$

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

Elliptic curves in class 151725dk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
151725.db1 151725dk1 \([0, -1, 1, -6658, 210843]\) \(7229403136/19845\) \(89612578125\) \([]\) \(304128\) \(0.97474\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 151725dk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 151725dk do not have complex multiplication.

Modular form 151725.2.a.dk

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} - 2 q^{6} - q^{7} + q^{9} + 3 q^{11} - 2 q^{12} + 6 q^{13} - 2 q^{14} - 4 q^{16} + 2 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display