Properties

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

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Show commands: SageMath
E = EllipticCurve("dg1")
 
E.isogeny_class()
 

Elliptic curves in class 179520dg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179520.a1 179520dg1 \([0, -1, 0, -4496, -119514]\) \(-157079401546816/7945131645\) \(-508488425280\) \([]\) \(391680\) \(1.0069\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179520dg1 has rank \(1\).

Complex multiplication

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

Modular form 179520.2.a.dg

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 5 q^{7} + q^{9} + q^{11} - q^{13} + q^{15} - q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display