Properties

Label 179520gm
Number of curves $1$
Conductor $179520$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gm1")
 
E.isogeny_class()
 

Elliptic curves in class 179520gm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179520.fu1 179520gm1 \([0, 1, 0, -271521, 55760319]\) \(-8444922396903721/253364474880\) \(-66417976902942720\) \([]\) \(1935360\) \(2.0059\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179520gm1 has rank \(0\).

Complex multiplication

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

Modular form 179520.2.a.gm

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