Properties

Label 5808r
Number of curves $1$
Conductor $5808$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 5808r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5808.g1 5808r1 \([0, -1, 0, -26176, 1829632]\) \(-2259169/324\) \(-284476528410624\) \([]\) \(25344\) \(1.5042\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5808r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5808r do not have complex multiplication.

Modular form 5808.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 4 q^{7} + q^{9} - 5 q^{13} + q^{15} + 7 q^{17} + O(q^{20})\) Copy content Toggle raw display