Properties

Label 169338.m
Number of curves $1$
Conductor $169338$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 169338.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
169338.m1 169338t1 \([1, 0, 1, -4567, 182522]\) \(-2181825073/1731456\) \(-8357407403904\) \([]\) \(430080\) \(1.1780\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 169338.m1 has rank \(1\).

Complex multiplication

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

Modular form 169338.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + 3 q^{5} - q^{6} + 3 q^{7} - q^{8} + q^{9} - 3 q^{10} + q^{12} - 3 q^{14} + 3 q^{15} + q^{16} - 2 q^{17} - q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display