Custom Elliptic Curve Parameter Input

[AprilNEA]

Description:

Create a tool allowing users to input custom elliptic curve parameters and validate them.

User Story:

As a cryptography researcher, I want to input custom curve parameters and validate them so that I can test my own curve implementations.

Features:

• Input fields for curve parameters (a, b, p, G, n, h)
• Real-time validation of curve parameters
• Check if curve is cryptographically secure
• Calculate curve properties (discriminant, j-invariant)

Acceptance Criteria:

• Validate curve equation y² = x³ + ax + b (mod p)
• Check discriminant ≠ 0
• Verify generator point is on curve
• Display warnings for weak curves