Properties

Label 169338g
Number of curves $1$
Conductor $169338$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 169338g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
169338.o1 169338g1 \([1, 1, 1, 95228, 3636485]\) \(19785968032823/12608077824\) \(-60856783513583616\) \([]\) \(2543616\) \(1.9096\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 169338g1 has rank \(2\).

Complex multiplication

The elliptic curves in class 169338g do not have complex multiplication.

Modular form 169338.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - 3 q^{5} - q^{6} - 3 q^{7} + q^{8} + q^{9} - 3 q^{10} - 6 q^{11} - q^{12} - 3 q^{14} + 3 q^{15} + q^{16} + q^{18} + O(q^{20})\) Copy content Toggle raw display