Timeline for Is every $GL_2(\mathbb{Z}/n\mathbb{Z})$-extension contained in some elliptic curve's torsion field?
Current License: CC BY-SA 3.0
10 events
when toggle format | what | by | license | comment | |
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Jul 14, 2017 at 16:19 | answer | added | Luisinho | timeline score: 4 | |
Jul 13, 2017 at 16:32 | answer | added | David E Speyer | timeline score: 5 | |
Jul 13, 2017 at 15:33 | vote | accept | Bobby Grizzard | ||
Jul 13, 2017 at 2:33 | answer | added | Jeremy Rouse | timeline score: 12 | |
Jul 13, 2017 at 1:08 | answer | added | Noam D. Elkies | timeline score: 8 | |
Jul 13, 2017 at 0:30 | history | edited | Bobby Grizzard | CC BY-SA 3.0 |
Improved the question following Dimitrov's comment.
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Jul 13, 2017 at 0:29 | comment | added | Bobby Grizzard | Of course I should have thought about that, thank you. Is it possible the question is interesting if we insist that $\mu_n \in K$? I will edit my question. | |
Jul 12, 2017 at 21:40 | answer | added | Will Chen | timeline score: 6 | |
Jul 12, 2017 at 18:36 | comment | added | Vesselin Dimitrov | No, because such an extension need not contain the $n$-th roots of unity (whereas $\mu_n \subset \mathbb{Q}(E[n])$ by the Weil pairing, and you may evidently not have a proper containment $K \subsetneq \mathbb{Q}(E[n])$). | |
Jul 12, 2017 at 17:30 | history | asked | Bobby Grizzard | CC BY-SA 3.0 |