Properties

Label 16560.bj
Number of curves $1$
Conductor $16560$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 16560.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16560.bj1 16560bw1 \([0, 0, 0, -657, 66231]\) \(-2688885504/160908575\) \(-1876837618800\) \([]\) \(20160\) \(1.0349\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16560.bj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16560.bj do not have complex multiplication.

Modular form 16560.2.a.bj

sage: E.q_eigenform(10)
 
\(q + q^{5} - 2 q^{7} - 3 q^{13} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display