Properties

Label 44688.bs
Number of curves $1$
Conductor $44688$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 44688.bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44688.bs1 44688cf1 \([0, -1, 0, -1829, 33741]\) \(-1404928/171\) \(-82403241984\) \([]\) \(37440\) \(0.82955\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44688.bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 44688.bs do not have complex multiplication.

Modular form 44688.2.a.bs

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} + q^{9} - q^{11} - 2 q^{13} - 3 q^{15} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display