Properties

Label 5586.m
Number of curves $1$
Conductor $5586$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 5586.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5586.m1 5586m1 \([1, 0, 1, 3200311, 1766681228]\) \(628805222251722551/597713542447104\) \(-3445699627212607586304\) \([]\) \(395136\) \(2.8198\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5586.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5586.m do not have complex multiplication.

Modular form 5586.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - q^{8} + q^{9} + q^{10} + 3 q^{11} + q^{12} - 4 q^{13} - q^{15} + q^{16} - 4 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display