Properties

Label 10584.bj
Number of curves $1$
Conductor $10584$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 10584.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10584.bj1 10584bk1 \([0, 0, 0, -756, -5292]\) \(3072\) \(15554923776\) \([]\) \(9216\) \(0.65888\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10584.bj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10584.bj do not have complex multiplication.

Modular form 10584.2.a.bj

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + 6 q^{11} - 2 q^{13} + 7 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display