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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3450.2.a.a $1$ $27.548$ \(\Q\) None \(-1\) \(-1\) \(0\) \(-5\) $-$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-5q^{7}-q^{8}+\cdots\)
3450.2.a.b $1$ $27.548$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $-$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3450.2.a.c $1$ $27.548$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $+$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3450.2.a.d $1$ $27.548$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $-$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3450.2.a.e $1$ $27.548$ \(\Q\) None \(-1\) \(-1\) \(0\) \(1\) $+$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
3450.2.a.f $1$ $27.548$ \(\Q\) None \(-1\) \(-1\) \(0\) \(1\) $-$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
3450.2.a.g $1$ $27.548$ \(\Q\) None \(-1\) \(-1\) \(0\) \(3\) $+$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+3q^{7}-q^{8}+\cdots\)
3450.2.a.h $1$ $27.548$ \(\Q\) None \(-1\) \(1\) \(0\) \(-3\) $+$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots\)
3450.2.a.i $1$ $27.548$ \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) $+$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
3450.2.a.j $1$ $27.548$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $+$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
3450.2.a.k $1$ $27.548$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $+$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
3450.2.a.l $1$ $27.548$ \(\Q\) None \(-1\) \(1\) \(0\) \(2\) $-$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots\)
3450.2.a.m $1$ $27.548$ \(\Q\) None \(-1\) \(1\) \(0\) \(5\) $-$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+5q^{7}-q^{8}+\cdots\)
3450.2.a.n $1$ $27.548$ \(\Q\) None \(1\) \(-1\) \(0\) \(-5\) $-$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-5q^{7}+q^{8}+\cdots\)
3450.2.a.o $1$ $27.548$ \(\Q\) None \(1\) \(-1\) \(0\) \(-2\) $+$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
3450.2.a.p $1$ $27.548$ \(\Q\) None \(1\) \(-1\) \(0\) \(0\) $-$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
3450.2.a.q $1$ $27.548$ \(\Q\) None \(1\) \(-1\) \(0\) \(0\) $-$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
3450.2.a.r $1$ $27.548$ \(\Q\) None \(1\) \(-1\) \(0\) \(1\) $+$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots\)
3450.2.a.s $1$ $27.548$ \(\Q\) None \(1\) \(-1\) \(0\) \(3\) $+$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+3q^{7}+q^{8}+\cdots\)
3450.2.a.t $1$ $27.548$ \(\Q\) None \(1\) \(1\) \(0\) \(-4\) $+$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
3450.2.a.u $1$ $27.548$ \(\Q\) None \(1\) \(1\) \(0\) \(-4\) $-$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
3450.2.a.v $1$ $27.548$ \(\Q\) None \(1\) \(1\) \(0\) \(-3\) $+$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-3q^{7}+q^{8}+\cdots\)
3450.2.a.w $1$ $27.548$ \(\Q\) None \(1\) \(1\) \(0\) \(-1\) $+$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots\)
3450.2.a.x $1$ $27.548$ \(\Q\) None \(1\) \(1\) \(0\) \(-1\) $-$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots\)
3450.2.a.y $1$ $27.548$ \(\Q\) None \(1\) \(1\) \(0\) \(2\) $-$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots\)
3450.2.a.z $1$ $27.548$ \(\Q\) None \(1\) \(1\) \(0\) \(2\) $-$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots\)
3450.2.a.ba $1$ $27.548$ \(\Q\) None \(1\) \(1\) \(0\) \(2\) $-$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots\)
3450.2.a.bb $1$ $27.548$ \(\Q\) None \(1\) \(1\) \(0\) \(5\) $-$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+5q^{7}+q^{8}+\cdots\)
3450.2.a.bc $2$ $27.548$ \(\Q(\sqrt{5}) \) None \(-2\) \(-2\) \(0\) \(-8\) $+$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-4q^{7}-q^{8}+\cdots\)
3450.2.a.bd $2$ $27.548$ \(\Q(\sqrt{57}) \) None \(-2\) \(-2\) \(0\) \(-6\) $-$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-3q^{7}-q^{8}+\cdots\)
3450.2.a.be $2$ $27.548$ \(\Q(\sqrt{5}) \) None \(-2\) \(-2\) \(0\) \(0\) $+$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-2\beta q^{7}-q^{8}+\cdots\)
3450.2.a.bf $2$ $27.548$ \(\Q(\sqrt{6}) \) None \(-2\) \(-2\) \(0\) \(2\) $-$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+(1+\beta )q^{7}+\cdots\)
3450.2.a.bg $2$ $27.548$ \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(0\) \(4\) $+$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots\)
3450.2.a.bh $2$ $27.548$ \(\Q(\sqrt{73}) \) None \(-2\) \(2\) \(0\) \(-6\) $-$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots\)
3450.2.a.bi $2$ $27.548$ \(\Q(\sqrt{17}) \) None \(-2\) \(2\) \(0\) \(2\) $-$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+(1+\beta )q^{7}+\cdots\)
3450.2.a.bj $2$ $27.548$ \(\Q(\sqrt{73}) \) None \(2\) \(-2\) \(0\) \(6\) $-$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+3q^{7}+q^{8}+\cdots\)
3450.2.a.bk $2$ $27.548$ \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(0\) \(-4\) $-$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots\)
3450.2.a.bl $2$ $27.548$ \(\Q(\sqrt{6}) \) None \(2\) \(2\) \(0\) \(-2\) $-$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+(-1+\beta )q^{7}+\cdots\)
3450.2.a.bm $2$ $27.548$ \(\Q(\sqrt{57}) \) None \(2\) \(2\) \(0\) \(6\) $-$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+3q^{7}+q^{8}+\cdots\)
3450.2.a.bn $2$ $27.548$ \(\Q(\sqrt{5}) \) None \(2\) \(2\) \(0\) \(8\) $-$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+4q^{7}+q^{8}+\cdots\)
3450.2.a.bo $3$ $27.548$ 3.3.148.1 None \(-3\) \(3\) \(0\) \(-2\) $+$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
3450.2.a.bp $3$ $27.548$ 3.3.3368.1 None \(-3\) \(3\) \(0\) \(1\) $-$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+\beta _{1}q^{7}-q^{8}+\cdots\)
3450.2.a.bq $3$ $27.548$ 3.3.568.1 None \(-3\) \(3\) \(0\) \(6\) $-$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots\)
3450.2.a.br $3$ $27.548$ 3.3.568.1 None \(3\) \(-3\) \(0\) \(-6\) $+$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
3450.2.a.bs $3$ $27.548$ 3.3.3368.1 None \(3\) \(-3\) \(0\) \(-1\) $-$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-\beta _{1}q^{7}+q^{8}+\cdots\)
3450.2.a.bt $3$ $27.548$ 3.3.148.1 None \(3\) \(-3\) \(0\) \(2\) $-$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+(1+\beta _{1})q^{7}+\cdots\)
3450.2.d.a $2$ $27.548$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{8}-q^{9}+\cdots\)
3450.2.d.b $2$ $27.548$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+iq^{2}+iq^{3}-q^{4}-q^{6}+3iq^{7}+\cdots\)
3450.2.d.c $2$ $27.548$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+iq^{2}+iq^{3}-q^{4}-q^{6}+iq^{7}-iq^{8}+\cdots\)
3450.2.d.d $2$ $27.548$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+2iq^{7}+\cdots\)
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