Properties

Label 169338.ba
Number of curves $1$
Conductor $169338$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 169338.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
169338.ba1 169338f1 \([1, 0, 0, -4274, -109188]\) \(-51091295119033/710005176\) \(-119990874744\) \([]\) \(321408\) \(0.93207\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 169338.ba1 has rank \(0\).

Complex multiplication

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

Modular form 169338.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + 3 q^{5} + q^{6} + 3 q^{7} + q^{8} + q^{9} + 3 q^{10} - 2 q^{11} + q^{12} + 3 q^{14} + 3 q^{15} + q^{16} + 4 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display