Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 5808.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5808.h1 5808q1 \([0, -1, 0, -216, -1296]\) \(-2259169/324\) \(-160579584\) \([]\) \(2304\) \(0.30527\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5808.h1 has rank \(1\).

Complex multiplication

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

Modular form 5808.2.a.h

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