Properties

Label 5776j
Number of curves $1$
Conductor $5776$
CM no
Rank $0$

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

Elliptic curves in class 5776j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5776.q1 5776j1 \([0, 0, 0, -19, 722]\) \(-27/8\) \(-224755712\) \([]\) \(2880\) \(0.28174\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5776j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5776j do not have complex multiplication.

Modular form 5776.2.a.j

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 2 q^{5} + 3 q^{7} + 6 q^{9} + 2 q^{11} + 3 q^{13} + 6 q^{15} - q^{17} + O(q^{20})\) Copy content Toggle raw display