Properties

Label 16830.ct
Number of curves 1
Conductor 16830
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("16830.ct1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 16830.ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
16830.ct1 16830bs1 [1, -1, 1, -1022, 22621] [] 19200 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16830.ct1 has rank \(1\).

Modular form 16830.2.a.ct

sage: E.q_eigenform(10)
 
\( q + q^{2} + q^{4} + q^{5} + q^{7} + q^{8} + q^{10} + q^{11} + q^{13} + q^{14} + q^{16} + q^{17} - 7q^{19} + O(q^{20}) \)