Properties

Label 16830r
Number of curves 1
Conductor 16830
CM no
Rank 0

Related objects

Downloads

Learn more about

Show commands for: SageMath

sage: E = EllipticCurve("16830.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 16830r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
16830.c1 16830r1 [1, -1, 0, -780, -74800] [] 40320 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16830r1 has rank \(0\).

Modular form 16830.2.a.c

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