Add Elliptic Curve and docs

docs/curves.md

@@ -0,0 +1,6 @@
+# Elliptic Curves
+## Points
+::: Cryptotools.Groups.point
+
+## Curves
+::: Cryptotools.Groups.curve

docs/example-curves.md

@@ -0,0 +1,30 @@
+# Generating Elliptic Curves
+
+In the following section, we are going to see how to generate Elliptic Curves and draw the curve with Python.
+
+## A Weierstrass Curve
+The python code below draw a Weierstrass Curve:
+
+```
+#!/usr/bin/env python3
+
+import matplotlib.pyplot as plt
+from Cryptotools.Groups.curve import Curve
+
+
+a = 3
+b = 8
+
+curve = Curve(a, b, Curve.WEIERSTRASS)
+x = curve.x
+curve.generatePoints()
+y = curve.y
+yn = curve.yn
+points = curve.getPoints()
+
+plt.figure(figsize=(10, 6))
+plt.plot(x, y, color='b', label=f'$y^2 = x^3 + {a}x + {b}$')
+plt.plot(x, yn, color='b', )
+plt.legend()
+plt.show()
+```

docs/index.md

@@ -5,11 +5,12 @@
 * Low-Level Cryptographic
     * [Number Theory](/number-theory)
     * [Group Theory](/group-theory)
+    * [Curves](/curves)
 * Public Keys:
     * [RSA](/rsa)
 * Utils
     * [Utils](/utils)
 * Examples:
-    * [Generating RSA keys](/examples-rsa-keys)
-
+    * [Generating RSA keys](/example-rsa-keys)
+    * [Generate curves](/example-curves)