2021-03-13 21:20:37 +0100 | marked best answer | Fraction must have unit denominator when studying Elliptic Curve over complex field? I have the following elliptic curves defined over $\mathbb{C}$ depending on a parameter $a \in \mathbb{C}$: $$ E_1: y^2 + xy = x^3 + ax + a $$ $$ E_2: y^2 + xy = x^3 + \frac{1}{a}x + \frac{1}{a} $$ That translated to code should look like this: While defining $E_1$ works fine, defining $E_2$ returns the following error: I do not understand if the problem is that I have not specified that $a \neq 0$ (if so, how can I specify it?) or something else. Do you have any guess? |
2021-03-13 18:31:24 +0100 | received badge | ● Editor (source) |
2021-03-13 18:31:24 +0100 | edited question | Fraction must have unit denominator when studying Elliptic Curve over complex field? Fraction must have unit denominator when studying Elliptic Curve over complex field? I have the following elliptic curve |
2021-03-13 18:28:36 +0100 | asked a question | Fraction must have unit denominator when studying Elliptic Curve over complex field? Fraction must have unit denominator when studying Elliptic Curve over complex field? I have the following elliptic curve |
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2021-03-13 15:22:14 +0100 | marked best answer | Coordinates do not define a point on Elliptic Curve over complex field? I have an elliptic curve defined over $\mathbb{C}$ by the equation $y^2 = x^3 + i$ and a point $P = (0, \frac{1+I}{\sqrt{2}})$ on this curve, however when I translate it into code I get an error. First of all, let's define the elliptic curve: Obtaining: So, up to now everything looks fine, but then if I insert: Here is what I obtain: |
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2021-03-13 15:05:35 +0100 | asked a question | Coordinates do not define a point on Elliptic Curve over complex field? Coordinates do not define a point on Elliptic Curve over complex field? I have an elliptic curve defined over $\mathbb{C |