Properties

Label 5808.w
Number of curves $1$
Conductor $5808$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 5808.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5808.w1 5808m1 \([0, 1, 0, 27064, -621084]\) \(9987164/6561\) \(-1440162425078784\) \([]\) \(16896\) \(1.5975\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5808.w1 has rank \(1\).

Complex multiplication

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

Modular form 5808.2.a.w

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