PGL₂(mathbb{F}_ell) number fields with rational companion forms
classification
🧮 math.NT
keywords
fieldslistcompanionformsmathbbnumberrationalcomplete
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We give a list of $PGL_2(\mathbb{F}_\ell)$ number fields for $\ell \geq 11$ which have rational companion forms. Our list has fifty-three fields and seems likely to be complete. Some of the fields on our list are very lightly ramified for their Galois group.
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