Properties

Label 1584.q
Number of curves $1$
Conductor $1584$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 1584.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1584.q1 1584d1 \([0, 0, 0, -36, 108]\) \(-27648/11\) \(-2052864\) \([]\) \(224\) \(-0.079906\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1584.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1584.q do not have complex multiplication.

Modular form 1584.2.a.q

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + 2 q^{7} - q^{11} + 6 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display