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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3 5 11
6600.2.a.a \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}-4q^{7}+q^{9}-q^{11}-6q^{13}+\cdots\)
6600.2.a.b \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) \(-\) \(+\) \(-\) \(+\) \(q-q^{3}-3q^{7}+q^{9}-q^{11}-5q^{13}+\cdots\)
6600.2.a.c \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) \(+\) \(+\) \(+\) \(+\) \(q-q^{3}-3q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
6600.2.a.d \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{7}+q^{9}+q^{11}-4q^{17}+\cdots\)
6600.2.a.e \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{7}+q^{9}+q^{11}+2q^{17}+\cdots\)
6600.2.a.f \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}-q^{7}+q^{9}-q^{11}-q^{17}+q^{19}+\cdots\)
6600.2.a.g \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{3}+q^{9}-q^{11}+2q^{13}-2q^{17}+\cdots\)
6600.2.a.h \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}+q^{7}+q^{9}+q^{11}-q^{13}-2q^{17}+\cdots\)
6600.2.a.i \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}+q^{7}+q^{9}+q^{11}+4q^{13}+3q^{17}+\cdots\)
6600.2.a.j \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-q^{11}-4q^{17}+\cdots\)
6600.2.a.k \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-q^{11}+6q^{17}+\cdots\)
6600.2.a.l \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(+\) \(+\) \(+\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-q^{11}+q^{13}-4q^{17}+\cdots\)
6600.2.a.m \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(+\) \(+\) \(+\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
6600.2.a.n \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(2\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}+2q^{7}+q^{9}+q^{11}+8q^{17}+\cdots\)
6600.2.a.o \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(3\) \(+\) \(+\) \(-\) \(-\) \(q-q^{3}+3q^{7}+q^{9}+q^{11}-3q^{17}+\cdots\)
6600.2.a.p \(1\) \(52.701\) \(\Q\) None \(0\) \(-1\) \(0\) \(4\) \(+\) \(+\) \(+\) \(-\) \(q-q^{3}+4q^{7}+q^{9}+q^{11}+6q^{13}+\cdots\)
6600.2.a.q \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(+\) \(q+q^{3}-4q^{7}+q^{9}-q^{11}-2q^{13}+\cdots\)
6600.2.a.r \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(-\) \(q+q^{3}-4q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
6600.2.a.s \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-3\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}-3q^{7}+q^{9}+q^{11}+3q^{17}+\cdots\)
6600.2.a.t \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-2\) \(-\) \(-\) \(-\) \(+\) \(q+q^{3}-2q^{7}+q^{9}-q^{11}-q^{13}+4q^{17}+\cdots\)
6600.2.a.u \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-2\) \(-\) \(-\) \(+\) \(+\) \(q+q^{3}-2q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
6600.2.a.v \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(+\) \(-\) \(+\) \(-\) \(q+q^{3}-q^{7}+q^{9}+q^{11}-4q^{13}-3q^{17}+\cdots\)
6600.2.a.w \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(+\) \(-\) \(+\) \(-\) \(q+q^{3}-q^{7}+q^{9}+q^{11}+q^{13}+2q^{17}+\cdots\)
6600.2.a.x \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q+q^{3}+q^{9}-q^{11}+2q^{13}+6q^{17}+\cdots\)
6600.2.a.y \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}+q^{9}+q^{11}-2q^{13}-6q^{17}+\cdots\)
6600.2.a.z \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}+q^{9}+q^{11}+6q^{13}+6q^{17}+\cdots\)
6600.2.a.ba \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(1\) \(+\) \(-\) \(-\) \(+\) \(q+q^{3}+q^{7}+q^{9}-q^{11}+q^{17}+q^{19}+\cdots\)
6600.2.a.bb \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(2\) \(+\) \(-\) \(+\) \(+\) \(q+q^{3}+2q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
6600.2.a.bc \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(2\) \(+\) \(-\) \(+\) \(-\) \(q+q^{3}+2q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
6600.2.a.bd \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(3\) \(-\) \(-\) \(-\) \(+\) \(q+q^{3}+3q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
6600.2.a.be \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(3\) \(+\) \(-\) \(+\) \(+\) \(q+q^{3}+3q^{7}+q^{9}-q^{11}+5q^{13}+\cdots\)
6600.2.a.bf \(1\) \(52.701\) \(\Q\) None \(0\) \(1\) \(0\) \(4\) \(+\) \(-\) \(+\) \(+\) \(q+q^{3}+4q^{7}+q^{9}-q^{11}-2q^{13}+\cdots\)
6600.2.a.bg \(2\) \(52.701\) \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(0\) \(-5\) \(+\) \(+\) \(-\) \(-\) \(q-q^{3}+(-2-\beta )q^{7}+q^{9}+q^{11}+(-3+\cdots)q^{13}+\cdots\)
6600.2.a.bh \(2\) \(52.701\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}+\beta q^{7}+q^{9}+q^{11}+(-2-\beta )q^{13}+\cdots\)
6600.2.a.bi \(2\) \(52.701\) \(\Q(\sqrt{6}) \) None \(0\) \(-2\) \(0\) \(2\) \(+\) \(+\) \(+\) \(-\) \(q-q^{3}+(1+\beta )q^{7}+q^{9}+q^{11}-2\beta q^{13}+\cdots\)
6600.2.a.bj \(2\) \(52.701\) \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(0\) \(-2\) \(-\) \(-\) \(-\) \(-\) \(q+q^{3}+(-1+\beta )q^{7}+q^{9}+q^{11}-2\beta q^{13}+\cdots\)
6600.2.a.bk \(2\) \(52.701\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{3}+\beta q^{7}+q^{9}-q^{11}+(-2-\beta )q^{13}+\cdots\)
6600.2.a.bl \(2\) \(52.701\) \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(0\) \(2\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}+(1+\beta )q^{7}+q^{9}+q^{11}+(-1+\cdots)q^{13}+\cdots\)
6600.2.a.bm \(2\) \(52.701\) \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(0\) \(5\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}+(3-\beta )q^{7}+q^{9}+q^{11}+(1+2\beta )q^{13}+\cdots\)
6600.2.a.bn \(3\) \(52.701\) 3.3.2024.1 None \(0\) \(-3\) \(0\) \(-4\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}+(-1-\beta _{1})q^{7}+q^{9}+q^{11}+\cdots\)
6600.2.a.bo \(3\) \(52.701\) 3.3.1304.1 None \(0\) \(-3\) \(0\) \(-1\) \(+\) \(+\) \(-\) \(+\) \(q-q^{3}+\beta _{2}q^{7}+q^{9}-q^{11}+(1+\beta _{1}+\cdots)q^{13}+\cdots\)
6600.2.a.bp \(3\) \(52.701\) 3.3.148.1 None \(0\) \(-3\) \(0\) \(2\) \(-\) \(+\) \(-\) \(+\) \(q-q^{3}+(1-\beta _{1})q^{7}+q^{9}-q^{11}+(1+\cdots)q^{13}+\cdots\)
6600.2.a.bq \(3\) \(52.701\) 3.3.148.1 None \(0\) \(-3\) \(0\) \(2\) \(+\) \(+\) \(-\) \(-\) \(q-q^{3}+(1-\beta _{2})q^{7}+q^{9}+q^{11}+(1+\cdots)q^{13}+\cdots\)
6600.2.a.br \(3\) \(52.701\) 3.3.9192.1 None \(0\) \(-3\) \(0\) \(4\) \(-\) \(+\) \(-\) \(+\) \(q-q^{3}+(1+\beta _{1})q^{7}+q^{9}-q^{11}+(1+\cdots)q^{13}+\cdots\)
6600.2.a.bs \(3\) \(52.701\) 3.3.9192.1 None \(0\) \(3\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(+\) \(q+q^{3}+(-1-\beta _{1})q^{7}+q^{9}-q^{11}+\cdots\)
6600.2.a.bt \(3\) \(52.701\) 3.3.148.1 None \(0\) \(3\) \(0\) \(-2\) \(+\) \(-\) \(-\) \(+\) \(q+q^{3}+(-1+\beta _{1})q^{7}+q^{9}-q^{11}+\cdots\)
6600.2.a.bu \(3\) \(52.701\) 3.3.148.1 None \(0\) \(3\) \(0\) \(-2\) \(-\) \(-\) \(-\) \(-\) \(q+q^{3}+(-1+\beta _{2})q^{7}+q^{9}+q^{11}+\cdots\)
6600.2.a.bv \(3\) \(52.701\) 3.3.1304.1 None \(0\) \(3\) \(0\) \(1\) \(-\) \(-\) \(+\) \(+\) \(q+q^{3}-\beta _{2}q^{7}+q^{9}-q^{11}+(-1-\beta _{1}+\cdots)q^{13}+\cdots\)
6600.2.a.bw \(3\) \(52.701\) 3.3.2024.1 None \(0\) \(3\) \(0\) \(4\) \(+\) \(-\) \(-\) \(-\) \(q+q^{3}+(1+\beta _{1})q^{7}+q^{9}+q^{11}+\beta _{2}q^{13}+\cdots\)
6600.2.a.bx \(5\) \(52.701\) 5.5.2389280.1 None \(0\) \(-5\) \(0\) \(-2\) \(+\) \(+\) \(-\) \(+\) \(q-q^{3}-\beta _{1}q^{7}+q^{9}-q^{11}+(-\beta _{3}+\cdots)q^{13}+\cdots\)
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