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 Feb15 comment The Group of points on the Elliptic curve $y^2=x^3+1$ over $\mathbb{F}_5$oh CHrist! I forgot about that, thanks. Feb15 comment The Group of points on the Elliptic curve $y^2=x^3+1$ over $\mathbb{F}_5$Yah Wikipedia's is a bit different. Mine's coming from Rational Points on Elliptic Curves by Silverman. But no matter what $(4,0)+(2,2)$ equals, the fact that $(0,1)+(0,1)=(0,1)$ is already nonsense. Feb15 revised The Group of points on the Elliptic curve $y^2=x^3+1$ over $\mathbb{F}_5$added 4 characters in body Feb15 comment The Group of points on the Elliptic curve $y^2=x^3+1$ over $\mathbb{F}_5$Well I just checked again that $2(0,1)=(0,1)$. Feb15 asked The Group of points on the Elliptic curve $y^2=x^3+1$ over $\mathbb{F}_5$ Feb15 comment Using the Residue Theorem for a contour integral along the Riemann sphereoh ok I get it. Feb15 comment Using the Residue Theorem for a contour integral along the Riemann sphereBut are you just substituting $\frac{1}{z}$ in for $x$? Because I get $\frac{z}{z^2+1}$. Feb15 comment Using the Residue Theorem for a contour integral along the Riemann sphereI don't have any background in Riemann surfaces, could you explain your change of coordinates? I can't make sense of it. Feb15 comment Using the Residue Theorem for a contour integral along the Riemann sphereYa I've been looking for a good example to try that out, but haven't found one yet. Feb15 comment Using the Residue Theorem for a contour integral along the Riemann sphereAh I see good point. Feb15 comment Using the Residue Theorem for a contour integral along the Riemann sphereForgive my ignorance but why do we have to split it into two limits? I'm thinking of $\int_{-t}^{t}\frac{x}{x^2+1}dx$ as a specific number dependent on $t$. And that specific number is always zero for every $t$. Feb15 comment Using the Residue Theorem for a contour integral along the Riemann sphereI'm not sure I quite understand what you mean by we don't know which is larger, can we not just define it to be: $\lim_{t\rightarrow\infty}\int_{-t}^{t}\frac{x}{x^2+1}dx$, which equals zero. Feb15 comment Using the Residue Theorem for a contour integral along the Riemann sphereBy your first statement do you just mean that we generally don't consider double sided improper integrals defined if a single side does not converge? Feb15 comment Using the Residue Theorem for a contour integral along the Riemann sphereYou're probably right Berci. Feb15 comment Using the Residue Theorem for a contour integral along the Riemann sphereIf anything I feel I'm interpreting the concept of a closed curve along the Riemann Sphere incorrectly. Feb15 comment Using the Residue Theorem for a contour integral along the Riemann sphereWell not for sure, it's possible I calculated the residue incorrectly. Feb15 revised Using the Residue Theorem for a contour integral along the Riemann sphereadded 1 characters in body Feb15 asked Using the Residue Theorem for a contour integral along the Riemann sphere Feb2 comment The Process of Choosing Projective Axes to Put an Elliptic Curve into Weierstrass Normal Formit's 5 o'clock, do you know where your children are? Jan30 accepted Proving a group isomorphism from $(S,+)$ to $(S,+')$