Properties

Label 16562.ba
Number of curves $1$
Conductor $16562$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 16562.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16562.ba1 16562bs1 \([1, -1, 1, -153159, 23112639]\) \(-19983597574473/3670016\) \(-72969757392896\) \([]\) \(218880\) \(1.6629\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16562.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16562.ba do not have complex multiplication.

Modular form 16562.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} - 3 q^{5} - 3 q^{6} + q^{8} + 6 q^{9} - 3 q^{10} - 4 q^{11} - 3 q^{12} + 9 q^{15} + q^{16} - 2 q^{17} + 6 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display