Timeline for 2-adic Coefficients of Modular Hecke Eigenforms
Current License: CC BY-SA 2.5
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| Jan 16, 2010 at 4:55 | history | edited | user631 | CC BY-SA 2.5 |
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| Jan 14, 2010 at 7:05 | comment | added | Pete L. Clark | @FC: This is a great answer. But I think it's weird to refer to people whose work you are citing only by their initials, and weirder to insist on anonymity and also refer to your own work. | |
| Nov 17, 2009 at 4:44 | vote | accept | CommunityBot | moved from User.Id=631 by developer User.Id=35318 | |
| Nov 17, 2009 at 3:43 | history | edited | user631 | CC BY-SA 2.5 |
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| Nov 16, 2009 at 3:00 | history | edited | user631 | CC BY-SA 2.5 |
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| Nov 15, 2009 at 22:18 | history | edited | user631 | CC BY-SA 2.5 |
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| Nov 15, 2009 at 22:10 | history | edited | user631 | CC BY-SA 2.5 |
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| Nov 15, 2009 at 12:18 | comment | added | Kevin Buzzard | p=257 is an interesting case, right? The class groups are Z/3 and Z/16, which are bad. Where are the reps coming from in that case? | |
| Nov 15, 2009 at 11:20 | comment | added | Kevin Buzzard | For inspiration in the case $p=1$ mod $16$ one could take some 3-digit prime of this form, compute, and see why there are big dim spaces over $Q_2$. Are the associated mod 2 reps big (in the sense that they're giving reps to something bigger than $GL(2,Z/2Z)$? Or are the mod 2 reps small but the deformations are big? Did you try any computations FC? I looped over $p\leq 3700$ and found that the largest prime with all local pieces of size at most 5 was 257, by the way. So the conjecture that the local $d$ is growing looks plausible... | |
| Nov 15, 2009 at 6:18 | history | edited | user631 | CC BY-SA 2.5 |
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| Nov 15, 2009 at 6:05 | history | edited | user631 | CC BY-SA 2.5 |
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| Nov 14, 2009 at 4:09 | comment | added | JSE | 1. Those Q-curves over Q(i) have bad reduction at 2 and p, not just p, if it matters to you. 2. I agree that it doesn't seem there'll be enough Q-curves. I wonder about RM abelian surfaces more generally. Is there a generally accepted heuristic, akin to "N^{5/6} elliptic curves of conductor at most N," for the number of RM abelian surfaces (say, with RM by a fixed real quadratic field K) of conductor at most N? | |
| Nov 14, 2009 at 3:52 | history | edited | user631 | CC BY-SA 2.5 |
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| Nov 13, 2009 at 18:20 | history | answered | user631 | CC BY-SA 2.5 |