Properties

Label 169050.ba
Number of curves $1$
Conductor $169050$
CM no
Rank $0$

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

Elliptic curves in class 169050.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
169050.ba1 169050ik1 \([1, 1, 0, -753400, 252244000]\) \(-25727239787761/101406816\) \(-186412663993500000\) \([]\) \(2419200\) \(2.1715\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 169050.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 169050.ba do not have complex multiplication.

Modular form 169050.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - q^{12} - q^{13} + q^{16} + 4 q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display