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I would like to reproduce the curves as shown in the picture below (taken from here):

enter image description here

I don't know if this was produced via LaTeX, but possibly TikZ or something similar was used. I guess that a "foreach" loop could have been used, which would also allow to change the color automatically. But how to reproduce this brush-painting style?

The curves look like elliptic curves, with equations of the form

$y^2 + a_1 xy + a_3 y = x^3 + a_2 x^2 + a_4 x + a_6$ with the $a_i$ being real numbers.

Would you have any hints/ideas?

Here is a close-up: enter image description here

Thruston
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Watson
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    I'm just thinking: maybe it was produced with SAGE? (See https://doc.sagemath.org/html/en/thematic_tutorials/explicit_methods_in_number_theory/elliptic_curves.html#bryan-birch-s-birthday-card) – Watson Feb 02 '22 at 09:53
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    Here is an idea: https://tex.stackexchange.com/questions/614526/square-root-of-a-function-misbehaves-near-the-x-axis – Juan Castaño Feb 02 '22 at 10:18
  • See https://tex.stackexchange.com/q/475141/47927 maybe – Jasper Habicht Feb 02 '22 at 11:58

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