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EllipticCurve in Sage has 2 or 5 parameters. For 5 parameters EllipticCurve([a,b,c,d,e]) means: y^2 + axy + cy = x^3 + bx^2 + d*x + e
Ed25519 (for example for Monero) is defined by $-x^2+y^2=1-\frac{121665}{121666}x^2y^2$
There exists part x^2y^2 which not exists in Sage EllipticCurve parameters. What means "twisted"? How define $\frac{121665}{121666}$ ? I must multiply 121665 bu inverted 121666 in field? Field is with prime p=$2^255-19$
EllipticCurve in Sage has 2 or 5 parameters. For 5 parameters EllipticCurve([a,b,c,d,e]) means: y^2 + axy + cy = x^3 + bx^2 + d*x + e
Ed25519 (for example for Monero) is defined by $-x^2+y^2=1-\frac{121665}{121666}x^2y^2$
There exists part x^2y^2 which not exists in Sage EllipticCurve parameters.
What means "twisted"?
How define $\frac{121665}{121666}$ ? I must multiply 121665 bu inverted 121666 in field? Field is with prime p=$2^255-19$p=$2^{255}-19$
EllipticCurve in Sage has In Sage, EllipticCurve takes 2 or 5 parameters. parameters.
EllipticCurve([a, b, c, d, e]) means: The curve Ed25519 (for example for Monero) is defined by $-x^2+y^2=1-\frac{121665}{121666}x^2y^2$by
$$
-x^2+y^2=1-\frac{121665}{121666}x^2y^2
$$
There exists part x^2y^2 This equation has a term in $x^2y^2$ which does not exists exist in Sage EllipticCurve parameters.
EllipticCurve parameters.
What means "twisted"?
does "twisted" mean?
How to define $\frac{121665}{121666}$ ? ?
I must multiply 121665 bu but inverted 121666 in field? Field is with prime p=$2^{255}-19$p=$2^{255}-19$.
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