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Title: $x$-coordinates of the torsion points of elliptic curves over $\mathbb{Q}$-Definition: 'Let $E/\mathbb{Q}$ be the elliptic curve whose reduced global minimal- Weierstrass model is recovered from $(c_4,c_6)$ using the convention of HREF{Division_polynomials_psi_n_of_elliptic_curves_over_mathbb_Q}[the- division-polynomial table]. The entry is the $x$-coordinate $x(P)$ of a point $P\in- E[n]\setminus\{O\}$: the root numbered $k$ of the division polynomial $F_{E,n}(x)$,- whose roots are exactly those $x$-coordinates.'+Definition: 'Let $E/\mathbb{Q}$ be the elliptic curve with reduced global minimal+ Weierstrass model recovered from $(c_4,c_6)$. The entry is the $x$-coordinate $x(P)$+ of a point $P\in E[n]\setminus\{O\}$: the root numbered $k$ of the division polynomial+ $F_{E,n}(x)$, whose roots are exactly those $x$-coordinates.' Parameters: N:
Comments: comment-model: The reduced global minimal model is the one used by Sage's Cremona- database CITE{SageCremona}, and matches the curve convention in HREF{Division_polynomials_psi_n_of_elliptic_curves_over_mathbb_Q}[the- division-polynomial table]. Entry comments give Cremona labels.+ database CITE{SageCremona}. The recovery from $(c_4,c_6)$ uses the curve convention+ in HREF{Division_polynomials_psi_n_of_elliptic_curves_over_mathbb_Q}[the division-polynomial+ table]. Entry comments give Cremona labels. comment-root-order: For fixed $(N,c_4,c_6,n)$, roots are ordered by increasing real part and then by increasing imaginary part.
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