Properties

Label 17640.bi
Number of curves $1$
Conductor $17640$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 17640.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17640.bi1 17640cj1 \([0, 0, 0, -588, 42532]\) \(-1024/35\) \(-768464444160\) \([]\) \(23040\) \(0.96093\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17640.bi1 has rank \(0\).

Complex multiplication

The elliptic curves in class 17640.bi do not have complex multiplication.

Modular form 17640.2.a.bi

sage: E.q_eigenform(10)
 
\(q - q^{5} + 5 q^{11} - q^{13} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display