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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2496.1.b.a \(2\) \(1.246\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-26}) \) \(\Q(\sqrt{78}) \) \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}-iq^{7}-q^{9}-q^{13}+2q^{21}+\cdots\)
2496.1.b.b \(2\) \(1.246\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-26}) \) \(\Q(\sqrt{78}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-iq^{7}-q^{9}+q^{13}-2q^{21}+\cdots\)
2496.1.b.c \(4\) \(1.246\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-26}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{3}+(\zeta_{12}^{2}+\zeta_{12}^{4})q^{5}-\zeta_{12}^{3}q^{7}+\cdots\)
2496.1.b.d \(4\) \(1.246\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-26}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{3}+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{5}+\cdots\)
2496.1.l.a \(1\) \(1.246\) \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-39}) \) \(\Q(\sqrt{13}) \) \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{9}+q^{13}-q^{25}-q^{27}-q^{39}+\cdots\)
2496.1.l.b \(1\) \(1.246\) \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-39}) \) \(\Q(\sqrt{13}) \) \(0\) \(1\) \(0\) \(0\) \(q+q^{3}+q^{9}+q^{13}-q^{25}+q^{27}+q^{39}+\cdots\)
2496.1.l.c \(4\) \(1.246\) \(\Q(\zeta_{8})\) None \(\Q(\sqrt{39}) \) \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{3}+(-\zeta_{8}+\zeta_{8}^{3})q^{5}+(-\zeta_{8}+\cdots)q^{7}+\cdots\)
2496.1.bd.a \(2\) \(1.246\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}+(-1-i)q^{7}-q^{9}+iq^{13}+\cdots\)
2496.1.bd.b \(2\) \(1.246\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q-iq^{3}+(1+i)q^{7}-q^{9}+iq^{13}+(1+\cdots)q^{19}+\cdots\)
2496.1.be.a \(2\) \(1.246\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(-2\) \(q-q^{3}+(-1-i)q^{7}+q^{9}+iq^{13}+\cdots\)
2496.1.be.b \(2\) \(1.246\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(2\) \(q-q^{3}+(1+i)q^{7}+q^{9}-iq^{13}+(1+\cdots)q^{19}+\cdots\)
2496.1.be.c \(2\) \(1.246\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(-2\) \(q+q^{3}+(-1-i)q^{7}+q^{9}-iq^{13}+\cdots\)
2496.1.be.d \(2\) \(1.246\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(2\) \(q+q^{3}+(1+i)q^{7}+q^{9}+iq^{13}+(-1+\cdots)q^{19}+\cdots\)
2496.1.bi.a \(8\) \(1.246\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{2}q^{3}+(-\zeta_{16}+\zeta_{16}^{3})q^{5}+\zeta_{16}^{4}q^{9}+\cdots\)
2496.1.bs.a \(2\) \(1.246\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}^{2}q^{13}+\cdots\)
2496.1.bs.b \(2\) \(1.246\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(1\) \(q+\zeta_{6}q^{3}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}^{2}q^{13}+\cdots\)
2496.1.bs.c \(8\) \(1.246\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{11}q^{3}-\zeta_{24}^{6}q^{5}+(-\zeta_{24}-\zeta_{24}^{7}+\cdots)q^{7}+\cdots\)
2496.1.bw.a \(4\) \(1.246\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{5}q^{3}+\zeta_{12}q^{7}-\zeta_{12}^{4}q^{9}+\zeta_{12}^{4}q^{13}+\cdots\)
2496.1.bw.b \(4\) \(1.246\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{5}q^{3}-\zeta_{12}q^{7}-\zeta_{12}^{4}q^{9}-\zeta_{12}^{4}q^{13}+\cdots\)
2496.1.bx.a \(4\) \(1.246\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{3}+(\zeta_{12}+\zeta_{12}^{3})q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
2496.1.bx.b \(4\) \(1.246\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{3}+(-\zeta_{12}-\zeta_{12}^{3})q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
2496.1.cb.a \(2\) \(1.246\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-3\) \(q+\zeta_{6}^{2}q^{3}+(-1+\zeta_{6}^{2})q^{7}-\zeta_{6}q^{9}+\cdots\)
2496.1.cb.b \(2\) \(1.246\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(3\) \(q-\zeta_{6}^{2}q^{3}+(1-\zeta_{6}^{2})q^{7}-\zeta_{6}q^{9}-\zeta_{6}q^{13}+\cdots\)
2496.1.de.a \(4\) \(1.246\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(-4\) \(q-\zeta_{12}^{2}q^{3}+(-1+\zeta_{12}^{5})q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
2496.1.de.b \(4\) \(1.246\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(4\) \(q-\zeta_{12}^{2}q^{3}+(1-\zeta_{12}^{5})q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
2496.1.de.c \(4\) \(1.246\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(-4\) \(q+\zeta_{12}^{2}q^{3}+(-1+\zeta_{12}^{5})q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
2496.1.de.d \(4\) \(1.246\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(4\) \(q+\zeta_{12}^{2}q^{3}+(1-\zeta_{12}^{5})q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
2496.1.df.a \(4\) \(1.246\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\zeta_{12}q^{3}+(-\zeta_{12}^{3}+\zeta_{12}^{4})q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
2496.1.df.b \(4\) \(1.246\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q+\zeta_{12}q^{3}+(\zeta_{12}^{3}-\zeta_{12}^{4})q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
2496.1.eh.a \(32\) \(1.246\) \(\Q(\zeta_{64})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{64}^{27}q^{2}-\zeta_{64}^{26}q^{3}-\zeta_{64}^{22}q^{4}+\cdots\)
2496.2.a.a \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(-4\) \(0\) \(+\) \(q-q^{3}-4q^{5}+q^{9}-2q^{11}+q^{13}+\cdots\)
2496.2.a.b \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(-4\) \(-\) \(q-q^{3}-2q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots\)
2496.2.a.c \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(0\) \(+\) \(q-q^{3}-2q^{5}+q^{9}-q^{13}+2q^{15}+\cdots\)
2496.2.a.d \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(2\) \(-\) \(q-q^{3}-2q^{5}+2q^{7}+q^{9}+2q^{11}+\cdots\)
2496.2.a.e \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(4\) \(-\) \(q-q^{3}-2q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots\)
2496.2.a.f \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-2\) \(-\) \(q-q^{3}-2q^{7}+q^{9}+4q^{11}-q^{13}+\cdots\)
2496.2.a.g \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(0\) \(0\) \(-\) \(q-q^{3}+q^{9}-6q^{11}+q^{13}+2q^{17}+\cdots\)
2496.2.a.h \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(0\) \(2\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-q^{13}-6q^{17}+\cdots\)
2496.2.a.i \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(0\) \(2\) \(-\) \(q-q^{3}+2q^{7}+q^{9}-q^{13}+2q^{17}+\cdots\)
2496.2.a.j \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(0\) \(4\) \(+\) \(q-q^{3}+4q^{7}+q^{9}-2q^{11}+q^{13}+\cdots\)
2496.2.a.k \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(2\) \(-4\) \(-\) \(q-q^{3}+2q^{5}-4q^{7}+q^{9}-q^{13}-2q^{15}+\cdots\)
2496.2.a.l \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(2\) \(0\) \(+\) \(q-q^{3}+2q^{5}+q^{9}+4q^{11}-q^{13}+\cdots\)
2496.2.a.m \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(2\) \(2\) \(-\) \(q-q^{3}+2q^{5}+2q^{7}+q^{9}+6q^{11}+\cdots\)
2496.2.a.n \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(4\) \(-4\) \(-\) \(q-q^{3}+4q^{5}-4q^{7}+q^{9}+2q^{11}+\cdots\)
2496.2.a.o \(1\) \(19.931\) \(\Q\) None None \(0\) \(-1\) \(4\) \(2\) \(-\) \(q-q^{3}+4q^{5}+2q^{7}+q^{9}-4q^{11}+\cdots\)
2496.2.a.p \(1\) \(19.931\) \(\Q\) None None \(0\) \(1\) \(-4\) \(0\) \(+\) \(q+q^{3}-4q^{5}+q^{9}+2q^{11}+q^{13}+\cdots\)
2496.2.a.q \(1\) \(19.931\) \(\Q\) None None \(0\) \(1\) \(-2\) \(-4\) \(-\) \(q+q^{3}-2q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots\)
2496.2.a.r \(1\) \(19.931\) \(\Q\) None None \(0\) \(1\) \(-2\) \(-2\) \(+\) \(q+q^{3}-2q^{5}-2q^{7}+q^{9}-2q^{11}+\cdots\)
2496.2.a.s \(1\) \(19.931\) \(\Q\) None None \(0\) \(1\) \(-2\) \(0\) \(+\) \(q+q^{3}-2q^{5}+q^{9}-q^{13}-2q^{15}+\cdots\)
2496.2.a.t \(1\) \(19.931\) \(\Q\) None None \(0\) \(1\) \(-2\) \(4\) \(-\) \(q+q^{3}-2q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots\)
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