Properties

Label 5808.j
Number of curves $1$
Conductor $5808$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 5808.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5808.j1 5808c1 \([0, -1, 0, -8873, 369525]\) \(-1408000/243\) \(-13334837269248\) \([]\) \(10560\) \(1.2447\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5808.j1 has rank \(0\).

Complex multiplication

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

Modular form 5808.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} + 6 q^{13} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display