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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3549.1.o.a 3549.o 273.o $2$ $1.771$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}-iq^{4}-q^{7}-q^{9}+q^{12}-q^{16}+\cdots\)
3549.1.o.b 3549.o 273.o $2$ $1.771$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-iq^{4}-iq^{7}-q^{9}-q^{12}+\cdots\)
3549.1.s.a 3549.s 273.s $2$ $1.771$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) \(q-\zeta_{6}q^{3}+q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{12}+\cdots\)
3549.1.s.b 3549.s 273.s $4$ $1.771$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(2\) \(q+\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{4}q^{6}+\cdots\)
3549.1.s.c 3549.s 273.s $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(0\) \(q-\zeta_{12}^{4}q^{3}+q^{4}-\zeta_{12}q^{7}-\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.w.a 3549.w 273.w $2$ $1.771$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-2\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{4}-q^{7}-\zeta_{6}q^{9}+\cdots\)
3549.1.w.b 3549.w 273.w $2$ $1.771$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(2\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{4}+q^{7}-\zeta_{6}q^{9}+\cdots\)
3549.1.w.c 3549.w 273.w $4$ $1.771$ \(\Q(\zeta_{12})\) None None \(-2\) \(0\) \(-2\) \(0\) \(q+\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{5}+\cdots\)
3549.1.w.d 3549.w 273.w $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-\zeta_{12}^{2}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{7}+\cdots\)
3549.1.w.e 3549.w 273.w $4$ $1.771$ \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(2\) \(0\) \(q-\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{5}+\cdots\)
3549.1.x.a 3549.x 273.x $2$ $1.771$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(1\) \(q-q^{3}+\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}+q^{9}-\zeta_{6}q^{12}+\cdots\)
3549.1.x.b 3549.x 273.x $4$ $1.771$ \(\Q(\zeta_{12})\) None None \(-2\) \(0\) \(-2\) \(0\) \(q-\zeta_{12}^{2}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}^{4}q^{5}+\cdots\)
3549.1.x.c 3549.x 273.x $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(4\) \(0\) \(0\) \(q+q^{3}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{7}+q^{9}+\cdots\)
3549.1.x.d 3549.x 273.x $4$ $1.771$ \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(2\) \(0\) \(q+\zeta_{12}^{2}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{4}q^{5}+\cdots\)
3549.1.bk.a 3549.bk 21.h $2$ $1.771$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-q^{7}-\zeta_{6}q^{9}+\cdots\)
3549.1.bk.b 3549.bk 21.h $2$ $1.771$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(2\) \(q+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+q^{7}-\zeta_{6}q^{9}+\cdots\)
3549.1.bk.c 3549.bk 21.h $4$ $1.771$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(2\) \(q-\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}-\zeta_{12}q^{5}-q^{6}+\cdots\)
3549.1.bk.d 3549.bk 21.h $4$ $1.771$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(-2\) \(q+\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}q^{5}+q^{6}+\cdots\)
3549.1.bk.e 3549.bk 21.h $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(0\) \(q+\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{7}+\cdots\)
3549.1.bm.a 3549.bm 273.am $2$ $1.771$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(1\) \(q+q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}+q^{9}-\zeta_{6}q^{12}+\cdots\)
3549.1.bm.b 3549.bm 273.am $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-4\) \(0\) \(0\) \(q-q^{3}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{7}+q^{9}+\cdots\)
3549.1.bm.c 3549.bm 273.am $4$ $1.771$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(-4\) \(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}q^{5}+\zeta_{12}^{2}q^{6}+\cdots\)
3549.1.bp.a 3549.bp 273.ap $2$ $1.771$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q+\zeta_{6}q^{3}-q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{12}+\cdots\)
3549.1.bp.b 3549.bp 273.ap $4$ $1.771$ \(\Q(\zeta_{12})\) None None \(-4\) \(0\) \(2\) \(0\) \(q-q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{5}+\zeta_{12}q^{6}+\cdots\)
3549.1.bp.c 3549.bp 273.ap $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+\zeta_{12}^{4}q^{3}-q^{4}-\zeta_{12}q^{7}-\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.bp.d 3549.bp 273.ap $4$ $1.771$ \(\Q(\zeta_{12})\) None None \(4\) \(0\) \(-2\) \(0\) \(q+q^{2}-\zeta_{12}q^{3}+\zeta_{12}^{4}q^{5}-\zeta_{12}q^{6}+\cdots\)
3549.1.bs.a 3549.bs 273.as $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{3}q^{4}+\zeta_{12}^{4}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.bs.b 3549.bs 273.as $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{3}-\zeta_{12}^{3}q^{4}+\zeta_{12}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.bs.c 3549.bs 273.as $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{3}q^{4}-\zeta_{12}^{4}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.ca.a 3549.ca 273.ba $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+\zeta_{12}q^{3}-\zeta_{12}^{5}q^{4}-\zeta_{12}^{2}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.ca.b 3549.ca 273.ba $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{5}q^{4}+\zeta_{12}^{5}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.ca.c 3549.ca 273.ba $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{5}q^{4}-\zeta_{12}^{5}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.ca.d 3549.ca 273.ba $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q+\zeta_{12}q^{3}-\zeta_{12}^{5}q^{4}+\zeta_{12}^{2}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.cb.a 3549.cb 273.bb $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{12}q^{3}+\zeta_{12}q^{4}-q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.cb.b 3549.cb 273.bb $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{3}+\zeta_{12}q^{4}-\zeta_{12}^{3}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.cb.c 3549.cb 273.bb $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{3}+\zeta_{12}q^{4}+\zeta_{12}^{3}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.cb.d 3549.cb 273.bb $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{12}q^{3}+\zeta_{12}q^{4}+q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.ch.a 3549.ch 273.bh $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{4}+\zeta_{12}q^{7}-q^{9}+\cdots\)
3549.1.ch.b 3549.ch 273.bh $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{4}-\zeta_{12}q^{7}-q^{9}+\cdots\)
3549.1.ch.c 3549.ch 273.bh $4$ $1.771$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q-\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{4}-\zeta_{12}^{4}q^{7}+\cdots\)
3549.1.cv.a 3549.cv 3549.bv $24$ $1.771$ \(\Q(\zeta_{52})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\zeta_{52}^{11}q^{3}-\zeta_{52}^{5}q^{4}+\zeta_{52}^{12}q^{7}+\cdots\)
3549.1.cv.b 3549.cv 3549.bv $24$ $1.771$ \(\Q(\zeta_{52})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{52}^{11}q^{3}-\zeta_{52}^{5}q^{4}-\zeta_{52}^{3}q^{7}+\cdots\)
3549.1.da.a 3549.da 3549.ca $24$ $1.771$ \(\Q(\zeta_{39})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q-\zeta_{78}^{20}q^{3}+\zeta_{78}^{15}q^{4}+\zeta_{78}^{35}q^{7}+\cdots\)
3549.1.dd.a 3549.dd 3549.cd $24$ $1.771$ \(\Q(\zeta_{39})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(1\) \(q+\zeta_{78}^{18}q^{3}+\zeta_{78}^{20}q^{4}+\zeta_{78}^{22}q^{7}+\cdots\)
3549.1.ds.a 3549.ds 3549.cs $24$ $1.771$ \(\Q(\zeta_{39})\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(1\) \(q+\zeta_{78}^{15}q^{3}-\zeta_{78}^{8}q^{4}-\zeta_{78}q^{7}+\cdots\)
3549.1.dx.a 3549.dx 3549.cx $24$ $1.771$ \(\Q(\zeta_{39})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(1\) \(q+\zeta_{78}^{20}q^{3}-\zeta_{78}^{15}q^{4}-\zeta_{78}^{35}q^{7}+\cdots\)
3549.1.ea.a 3549.ea 3549.da $48$ $1.771$ \(\Q(\zeta_{156})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q-\zeta_{156}^{3}q^{3}-\zeta_{156}^{77}q^{4}-\zeta_{156}^{34}q^{7}+\cdots\)
3549.1.ep.a 3549.ep 3549.dp $48$ $1.771$ \(\Q(\zeta_{156})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{156}^{55}q^{3}-\zeta_{156}^{51}q^{4}+\zeta_{156}^{67}q^{7}+\cdots\)
3549.2.a.a 3549.a 1.a $1$ $28.339$ \(\Q\) None None \(-2\) \(1\) \(-3\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots\)
3549.2.a.b 3549.a 1.a $1$ $28.339$ \(\Q\) None None \(-2\) \(1\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+q^{7}+\cdots\)
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