Properties

Label 20160.cf
Number of curves $1$
Conductor $20160$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 20160.cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20160.cf1 20160eb1 \([0, 0, 0, -678, 6802]\) \(-738763264/875\) \(-40824000\) \([]\) \(5760\) \(0.37195\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20160.cf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 20160.cf do not have complex multiplication.

Modular form 20160.2.a.cf

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} + q^{11} + q^{13} - q^{17} + O(q^{20})\) Copy content Toggle raw display