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AstroNi
AstroNi
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HomogenizingIn the case of affine algebraic curves, homogenizing a polynomial with no roots in a number field of degree up to $d$ should do. For example, $x^3 + y^2x + y^3 = 0$ has a rational point $(0, 0)$ and no other points in any quadratic number field.

Homogenizing a polynomial with no roots in a number field of degree up to $d$ should do. For example, $x^3 + y^2x + y^3 = 0$ has a rational point $(0, 0)$ and no other points in any quadratic number field.

In the case of affine algebraic curves, homogenizing a polynomial with no roots in a number field of degree up to $d$ should do. For example, $x^3 + y^2x + y^3 = 0$ has a rational point $(0, 0)$ and no other points in any quadratic number field.

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AstroNi
AstroNi
  • 204
  • 1
  • 4

Homogenizing a polynomial with no roots in a number field of degree up to $d$ should do. For example, $x^3 + y^2x + y^3 = 0$ has a rational point $(0, 0)$ and no other points in any quadratic number field.