Properties

Label 179088cg
Number of curves $1$
Conductor $179088$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("cg1")
 
E.isogeny_class()
 

Elliptic curves in class 179088cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179088.p1 179088cg1 \([0, -1, 0, -1041, 171549]\) \(-487812649984/49178493819\) \(-12589694417664\) \([]\) \(294912\) \(1.1932\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179088cg1 has rank \(2\).

Complex multiplication

The elliptic curves in class 179088cg do not have complex multiplication.

Modular form 179088.2.a.cg

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} - q^{13} + q^{15} - 2 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display