Properties

Label 27584v
Number of curves 1
Conductor 27584
CM no
Rank 0

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Show commands for: SageMath

sage: E = EllipticCurve("27584.ba1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 27584v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
27584.ba1 27584v1 [0, 0, 0, -4, -64] [] 12032 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27584v1 has rank \(0\).

Modular form 27584.2.a.ba

sage: E.q_eigenform(10)
 
\( q + 3q^{3} - 3q^{5} + 4q^{7} + 6q^{9} + 5q^{11} - 4q^{13} - 9q^{15} - 6q^{17} + 7q^{19} + O(q^{20}) \)