Properties

Label 179520dq
Number of curves $1$
Conductor $179520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dq1")
 
E.isogeny_class()
 

Elliptic curves in class 179520dq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179520.s1 179520dq1 \([0, -1, 0, 4159, 612705]\) \(60684268318/1278028125\) \(-167513702400000\) \([]\) \(465920\) \(1.4097\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179520dq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 179520dq do not have complex multiplication.

Modular form 179520.2.a.dq

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} + q^{11} + q^{15} - q^{17} + O(q^{20})\) Copy content Toggle raw display