Timeline for Action of the symmetric group $S_3$ on an elliptic curve $E$ defined over $\mathbb{Z}$
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Jan 10, 2021 at 1:40 | comment | added | Will Sawin | @DavidLoeffler Would your students be entertained by the fruit version? qph.fs.quoracdn.net/… | |
| Jan 9, 2021 at 18:56 | comment | added | Ari Shnidman | Another good point! I made the change. | |
| Jan 9, 2021 at 18:55 | history | edited | Ari Shnidman | CC BY-SA 4.0 |
added 77 characters in body
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| Jan 9, 2021 at 18:27 | comment | added | Ari Shnidman | And, of course, you are very welcome to use this example. | |
| Jan 9, 2021 at 18:17 | comment | added | gigi | @DavidLoeffler yeah sure, I'm glad that it is useful for someone :) | |
| Jan 9, 2021 at 18:12 | comment | added | David Loeffler | For a smooth curve over $\mathbf{Q}$, either $C(\mathbf{Q})$ is finite or its closure in $C(\mathbf{R})$ is a subset of the components of $C(\mathbf{R})$. So, since $C(\mathbf{Q})$ is infinite and contains one point with all coordinates positive, it must contain infinitely many. (This example is wonderful -- do you mind if I steal it for the elliptic curves lecture course I'm starting next week?) | |
| Jan 9, 2021 at 17:59 | comment | added | gigi | Thank you very much, it's clear! | |
| Jan 9, 2021 at 17:59 | vote | accept | gigi | ||
| Jan 9, 2021 at 17:55 | history | answered | Ari Shnidman | CC BY-SA 4.0 |
