Properties

Label 170352.gn
Number of curves $1$
Conductor $170352$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gn1")
 
E.isogeny_class()
 

Elliptic curves in class 170352.gn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
170352.gn1 170352cw1 \([0, 0, 0, -104403, 9094930]\) \(249395415529/73513818\) \(37097373251248128\) \([]\) \(1935360\) \(1.8851\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 170352.gn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 170352.gn do not have complex multiplication.

Modular form 170352.2.a.gn

sage: E.q_eigenform(10)
 
\(q + 4 q^{5} + q^{7} + 3 q^{11} + 5 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display