Properties

Label 44352fb
Number of curves $1$
Conductor $44352$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("fb1")
 
E.isogeny_class()
 

Elliptic curves in class 44352fb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44352.s1 44352fb1 \([0, 0, 0, -174, -1906]\) \(-12487168/26411\) \(-1232231616\) \([]\) \(23040\) \(0.43334\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44352fb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 44352fb do not have complex multiplication.

Modular form 44352.2.a.fb

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + q^{7} + q^{11} - 6 q^{13} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display