Properties

Label 43560.bi
Number of curves $1$
Conductor $43560$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 43560.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43560.bi1 43560co1 \([0, 0, 0, 33, -209]\) \(2816/15\) \(-21170160\) \([]\) \(7680\) \(0.087790\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43560.bi1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43560.bi do not have complex multiplication.

Modular form 43560.2.a.bi

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