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Index
| INTRO | Introduction to these notes |
| PRELIM | Basic theory of elliptic functions and related area's |
| Y2R4 | $y^2 = ax^4 + bx^3 + cx^2 + dx + e$ |
| Y3R3 | $y^3 = (ax^3 + bx^2 + cx + d)^2,\qquad y^4 = (px + q)^2(ax^2 + bx + c)^3,\qquad y^6 = (ax + b)^3(cx + d)^4(ex + f)^5$ |
| X2Y2 | $a_{22} x^2 y^2 + a_{21} x^2 y + a_{20} x^2 + a_{12} x y^2 + a_{11} x y + a_{10} x + a_{02} y^2 + a_{01} y + a_{00} = 0$ |
| X3Y3 | $a_{30} x^3 + a_{21} x^2 y + a_{12} x y^2 + a_{03} y^3 + a_{20} x^2 + a_{11} x y + a_{02} y^2 + a_{10} x + a_{01} y + a_{00} = 0$ |
| SIGMA | Addition formulae for the Sigma and Theta Functions |
| VANDERMONDE | Consequences of the Vandermonde Determinant Formula |
| JAC | Jacobian Elliptic Functions |
| WP Part 1 | Addition formulae for the Weierstrass $\wp$ Function |
| WP Part 2 | Dual Addition formulae for the Weierstrass $\wp$ Function |
| $h$ Functions | Weierstrass $h$ Functions |
| ADD3 | Addition formulae for the Cubic Curve |
| ADD4 | Addition formulae for the Quartic Curve |
| MYSTERY | Mystery formulae |
| Y2R4X | Quartic Elliptic Tour |
| Y2R4X2 | Quartic Curve Intro |
| Y3R3X | Scwharz-Christoffel Curve Intro |
| XMYN | Scwharz-Christoffel Curve Intro |
| CURVE-LIST | List Of Low Degree Genus One Curves |
| LATTICE-ALIGNED | Lattice Aligned Order 2 Elliptic Functions |
| SYMADD | Five Symmetric Addition formulae |
| ADD34 | Summary of addition formulae for Cubic and Quartic Curves |
| ADDN | Summary of addition formulae for Cubic and Quartic Curves |
| CLASVSYM | Classic vs Symmetric Addition Formulae |
| UNEXPECTED | Unexpected Symmetry |
| CIRC | Addition formulae for the Circle |
| ABEL | Abel's addition formulae overview |
| MODULARITY | Modularity Theorem |
| FXY | $F(x,y)=0$ |
| FXY2 | $F(x,y)=0$ |
| MISC | Miscellaneous stuff |
| About Us |
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