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On the torsion of rational elliptic curves over sextic fields

Harris B. Daniels and Enrique González-Jiménez

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Auxiliary files from other articles:

• 2primary_Ss.txt from this webpage
  E. González-Jiménez, and Á. Lozano-Robledo. On the minimal degree of definition of p-primary torsion subgroups of elliptic curves. Math. Res. Lett. 24 (2017) 1067-1096.
  
  
• subgroups.m from Sutherland's webpage
  A.V. Sutherland. Computing images of Galois representations attached to elliptic curves. Forum Math. Sigma 4 (2016), e4.
  
  
• Equations.txt from Zywina's webpage
  D. Zywina. On the possible images of the mod l representations associated to elliptic curves over Q. arXiv:1508.07660.

 

Magma script related to

• Proposition 8:
  
  

  (b)	(j)	(k)	(l)+(n)	(q)	(s)	(r)	(t)

  
  

• Theorem 10

• Theorem 12