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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5
6400.2.a.a \(1\) \(51.104\) \(\Q\) \(\Q(\sqrt{-2}) \) \(0\) \(-2\) \(0\) \(0\) \(-\) \(+\) \(q-2q^{3}+q^{9}+6q^{11}+6q^{17}+2q^{19}+\cdots\)
6400.2.a.b \(1\) \(51.104\) \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) \(-\) \(+\) \(q-q^{3}-4q^{7}-2q^{9}-3q^{11}-q^{17}+\cdots\)
6400.2.a.c \(1\) \(51.104\) \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) \(-\) \(-\) \(q-q^{3}-4q^{7}-2q^{9}+3q^{11}+q^{17}+\cdots\)
6400.2.a.d \(1\) \(51.104\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(+\) \(-\) \(q-q^{3}-2q^{7}-2q^{9}-5q^{11}-6q^{13}+\cdots\)
6400.2.a.e \(1\) \(51.104\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(-\) \(+\) \(q-q^{3}-2q^{7}-2q^{9}+5q^{11}+6q^{13}+\cdots\)
6400.2.a.f \(1\) \(51.104\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(-\) \(-\) \(q-q^{3}+2q^{7}-2q^{9}-5q^{11}+6q^{13}+\cdots\)
6400.2.a.g \(1\) \(51.104\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(+\) \(+\) \(q-q^{3}+2q^{7}-2q^{9}+5q^{11}-6q^{13}+\cdots\)
6400.2.a.h \(1\) \(51.104\) \(\Q\) None \(0\) \(-1\) \(0\) \(4\) \(+\) \(+\) \(q-q^{3}+4q^{7}-2q^{9}-3q^{11}-q^{17}+\cdots\)
6400.2.a.i \(1\) \(51.104\) \(\Q\) None \(0\) \(-1\) \(0\) \(4\) \(+\) \(-\) \(q-q^{3}+4q^{7}-2q^{9}+3q^{11}+q^{17}+\cdots\)
6400.2.a.j \(1\) \(51.104\) \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(0\) \(0\) \(+\) \(-\) \(q-3q^{9}-6q^{13}-8q^{17}-4q^{29}-2q^{37}+\cdots\)
6400.2.a.k \(1\) \(51.104\) \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q-3q^{9}-6q^{13}+8q^{17}+4q^{29}-2q^{37}+\cdots\)
6400.2.a.l \(1\) \(51.104\) \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q-3q^{9}-4q^{13}+2q^{17}+4q^{29}+12q^{37}+\cdots\)
6400.2.a.m \(1\) \(51.104\) \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(q-3q^{9}+4q^{13}+2q^{17}-4q^{29}-12q^{37}+\cdots\)
6400.2.a.n \(1\) \(51.104\) \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q-3q^{9}+6q^{13}-8q^{17}+4q^{29}+2q^{37}+\cdots\)
6400.2.a.o \(1\) \(51.104\) \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(0\) \(0\) \(+\) \(-\) \(q-3q^{9}+6q^{13}+8q^{17}-4q^{29}+2q^{37}+\cdots\)
6400.2.a.p \(1\) \(51.104\) \(\Q\) None \(0\) \(1\) \(0\) \(-4\) \(+\) \(-\) \(q+q^{3}-4q^{7}-2q^{9}-3q^{11}+q^{17}+\cdots\)
6400.2.a.q \(1\) \(51.104\) \(\Q\) None \(0\) \(1\) \(0\) \(-4\) \(+\) \(+\) \(q+q^{3}-4q^{7}-2q^{9}+3q^{11}-q^{17}+\cdots\)
6400.2.a.r \(1\) \(51.104\) \(\Q\) None \(0\) \(1\) \(0\) \(-2\) \(-\) \(+\) \(q+q^{3}-2q^{7}-2q^{9}-5q^{11}-6q^{13}+\cdots\)
6400.2.a.s \(1\) \(51.104\) \(\Q\) None \(0\) \(1\) \(0\) \(-2\) \(+\) \(-\) \(q+q^{3}-2q^{7}-2q^{9}+5q^{11}+6q^{13}+\cdots\)
6400.2.a.t \(1\) \(51.104\) \(\Q\) None \(0\) \(1\) \(0\) \(2\) \(+\) \(+\) \(q+q^{3}+2q^{7}-2q^{9}-5q^{11}+6q^{13}+\cdots\)
6400.2.a.u \(1\) \(51.104\) \(\Q\) None \(0\) \(1\) \(0\) \(2\) \(-\) \(-\) \(q+q^{3}+2q^{7}-2q^{9}+5q^{11}-6q^{13}+\cdots\)
6400.2.a.v \(1\) \(51.104\) \(\Q\) None \(0\) \(1\) \(0\) \(4\) \(-\) \(-\) \(q+q^{3}+4q^{7}-2q^{9}-3q^{11}+q^{17}+\cdots\)
6400.2.a.w \(1\) \(51.104\) \(\Q\) None \(0\) \(1\) \(0\) \(4\) \(-\) \(+\) \(q+q^{3}+4q^{7}-2q^{9}+3q^{11}-q^{17}+\cdots\)
6400.2.a.x \(1\) \(51.104\) \(\Q\) \(\Q(\sqrt{-2}) \) \(0\) \(2\) \(0\) \(0\) \(+\) \(+\) \(q+2q^{3}+q^{9}-6q^{11}+6q^{17}-2q^{19}+\cdots\)
6400.2.a.y \(2\) \(51.104\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(-6\) \(+\) \(+\) \(q+(-1+\beta )q^{3}+(-3+\beta )q^{7}+(1-2\beta )q^{9}+\cdots\)
6400.2.a.z \(2\) \(51.104\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(-2\) \(+\) \(+\) \(q+(-1+\beta )q^{3}+(-1-\beta )q^{7}+(1-2\beta )q^{9}+\cdots\)
6400.2.a.ba \(2\) \(51.104\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(q-q^{3}-\beta q^{7}-2q^{9}-3q^{11}+\beta q^{13}+\cdots\)
6400.2.a.bb \(2\) \(51.104\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(-\) \(q-q^{3}-\beta q^{7}-2q^{9}+3q^{11}-\beta q^{13}+\cdots\)
6400.2.a.bc \(2\) \(51.104\) \(\Q(\sqrt{6}) \) \(\Q(\sqrt{-2}) \) \(0\) \(-2\) \(0\) \(0\) \(-\) \(-\) \(q+(-1+\beta )q^{3}+(4-2\beta )q^{9}+(-3+\beta )q^{11}+\cdots\)
6400.2.a.bd \(2\) \(51.104\) \(\Q(\sqrt{6}) \) \(\Q(\sqrt{-2}) \) \(0\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(q+(-1+\beta )q^{3}+(4-2\beta )q^{9}+(3-\beta )q^{11}+\cdots\)
6400.2.a.be \(2\) \(51.104\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(2\) \(-\) \(+\) \(q+(-1+\beta )q^{3}+(1+\beta )q^{7}+(1-2\beta )q^{9}+\cdots\)
6400.2.a.bf \(2\) \(51.104\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(6\) \(+\) \(+\) \(q+(-1+\beta )q^{3}+(3-\beta )q^{7}+(1-2\beta )q^{9}+\cdots\)
6400.2.a.bg \(2\) \(51.104\) \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(0\) \(-8\) \(+\) \(+\) \(q+\beta q^{3}-4q^{7}+4q^{9}+\beta q^{11}-3q^{17}+\cdots\)
6400.2.a.bh \(2\) \(51.104\) \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(0\) \(-8\) \(-\) \(-\) \(q+\beta q^{3}-4q^{7}+4q^{9}-\beta q^{11}+3q^{17}+\cdots\)
6400.2.a.bi \(2\) \(51.104\) \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-10}) \) \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q+\beta q^{7}-3q^{9}-2q^{11}-\beta q^{13}+6q^{19}+\cdots\)
6400.2.a.bj \(2\) \(51.104\) \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-10}) \) \(0\) \(0\) \(0\) \(0\) \(+\) \(-\) \(q+\beta q^{7}-3q^{9}+2q^{11}+\beta q^{13}-6q^{19}+\cdots\)
6400.2.a.bk \(2\) \(51.104\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q+\beta q^{3}+3\beta q^{7}-q^{9}-2\beta q^{11}-6q^{13}+\cdots\)
6400.2.a.bl \(2\) \(51.104\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q+\beta q^{3}-3\beta q^{7}-q^{9}-4\beta q^{11}-2q^{13}+\cdots\)
6400.2.a.bm \(2\) \(51.104\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(q+\beta q^{3}+\beta q^{7}-q^{9}+2\beta q^{11}-2q^{13}+\cdots\)
6400.2.a.bn \(2\) \(51.104\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(q+\beta q^{3}+3\beta q^{7}-q^{9}-4\beta q^{11}+2q^{13}+\cdots\)
6400.2.a.bo \(2\) \(51.104\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(q+\beta q^{3}-\beta q^{7}-q^{9}+2\beta q^{11}+2q^{13}+\cdots\)
6400.2.a.bp \(2\) \(51.104\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q+\beta q^{3}-3\beta q^{7}-q^{9}-2\beta q^{11}+6q^{13}+\cdots\)
6400.2.a.bq \(2\) \(51.104\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q-\beta q^{3}+2q^{9}-\beta q^{11}-4q^{13}-3q^{17}+\cdots\)
6400.2.a.br \(2\) \(51.104\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(q-\beta q^{3}+2q^{9}+\beta q^{11}-4q^{13}+3q^{17}+\cdots\)
6400.2.a.bs \(2\) \(51.104\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(-\) \(q-\beta q^{3}+2q^{9}-\beta q^{11}+4q^{13}-3q^{17}+\cdots\)
6400.2.a.bt \(2\) \(51.104\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q-\beta q^{3}+2q^{9}+\beta q^{11}+4q^{13}+3q^{17}+\cdots\)
6400.2.a.bu \(2\) \(51.104\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q+\beta q^{3}-\beta q^{7}+3q^{9}+2\beta q^{11}-4q^{17}+\cdots\)
6400.2.a.bv \(2\) \(51.104\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(-\) \(q+\beta q^{3}+\beta q^{7}+3q^{9}+2\beta q^{11}-4q^{17}+\cdots\)
6400.2.a.bw \(2\) \(51.104\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q+\beta q^{3}-\beta q^{7}+3q^{9}-2\beta q^{11}+4q^{17}+\cdots\)
6400.2.a.bx \(2\) \(51.104\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(-\) \(q+\beta q^{3}+\beta q^{7}+3q^{9}-2\beta q^{11}+4q^{17}+\cdots\)
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