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Sep 14, 2021 at 14:54 comment added David Hansen Will Sawin is right: essentially nothing is known.
Sep 12, 2021 at 19:58 history closed Alex M.
naf
LeechLattice
Johannes Hahn
Roland Bacher
Needs details or clarity
Sep 12, 2021 at 13:40 comment added Will Sawin As for the question, I think that because this field is neither totally real nor CM, almost nothing is known, but I"m not really an expert...
Sep 12, 2021 at 13:15 comment added Carl-Fredrik Nyberg Brodda @WillSawin OK, thanks!
Sep 12, 2021 at 13:08 comment added Will Sawin @Carl-FredrikNybergBrodda I'm pretty sure this refers to modular forms on the algrebraic group $GL_{2, \mathbb Q(\sqrt[3]{2})}$, i.e functions on $GL_2 ( \mathbb A_{\mathbb Q( \sqrt[3]{2} )} )/ GL_2 ( \mathbb Q(\sqrt[3]{2}))$.
Sep 12, 2021 at 12:17 comment added Carl-Fredrik Nyberg Brodda Welcome to MO! Some background might be useful here. It never hurts to include more details or at least some keywords, especially when there is nothing easy to look up (I have no idea how to find out what your question means even with Google at my disposal). For example, is $\operatorname{GL}_2$ here referring to $\operatorname{GL}_2(\mathbb{Q})$? Or $\operatorname{GL}_2(\mathbb{Z})$? Etc. What does the notation $\operatorname{GL}_2 / \mathbb{Q}(\sqrt[3]{2})$ mean? Is it an elliptic curve? Etc. Once the objects are defined, you don't have to define e.g. modularity (this can then be looked up).
Sep 12, 2021 at 8:36 review Close votes
Sep 12, 2021 at 19:58
S Sep 12, 2021 at 5:16 review First questions
Sep 12, 2021 at 19:59
S Sep 12, 2021 at 5:16 history asked BFK CC BY-SA 4.0