query: Function ellipticAdd to add points belonging to an elliptic curve $y^2 = x^3 + a\,x^2 + b\,x$
positive_passages.docid: 155707
positive_passages.text: Plotting the sum of two points on an elliptic curve
negative_passages.docid: 118987
negative_passages.text: Birational map from elliptic curve keeps smoothness?
negative_passages.docid: 35504
negative_passages.text: The Diophantine equation $x^2 + 2 = y^3$
negative_passages.docid: 49999
negative_passages.text: Express $y$ from $\ln(x)+3\ln(y) = y$
negative_passages.docid: 157744
negative_passages.text: Cauchy's functional equation with composite function: $gf(x+y)=gf(x)+gf(y)$
negative_passages.docid: 75364
negative_passages.text: Finding elliptic curves achieving the upper and lower bounds of Hasse's Interval
negative_passages.docid: 70692
negative_passages.text: Solve $x^2+2=y^3$ using infinite descent?
negative_passages.docid: 13904
negative_passages.text: $p = x^2 + xy + y^2$ if and only if $p \equiv 1 \text{ mod }3$?
negative_passages.docid: 148834
negative_passages.text: Find three polynomials whose squares sum up to $x^4 + y^4 + x^2 + y^2$
negative_passages.docid: 156778
negative_passages.text: Finding functions satisfying $f(f(x))+f(x)+x=0$
negative_passages.docid: 137015
negative_passages.text: Solutions for $a^2+b^2+c^2=d^2$
negative_passages.docid: 111467
negative_passages.text: find all natural solution that satisfy $x^2+y^2 = 3z^2$
negative_passages.docid: 87994
negative_passages.text: Find rational points on $x^2 + y^2 = 3$ and on $x^2 + y^2 = 17$
negative_passages.docid: 144863
negative_passages.text: Finding integer solutions to $y^2=x^3-2$
negative_passages.docid: 94700
negative_passages.text: Integer solutions for $x^3+2=y^2$?
negative_passages.docid: 80514
negative_passages.text: Why are elliptic curves constructed using prime fields and not composite fields?
negative_passages.docid: 68409
negative_passages.text: Consider $f(x,y)=\sup_{θ,φ}\{||e^{i θ }x+ e^{i φ }y||^2: θ,φ∈R\}$ in which $x,y\in\mathbb C^n$