LMFDB - Newform search results

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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twist	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (1-50 of 76 matches)

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Label	Dim.	$A$	Field	CM	Traces				A-L signs			$q$-expansion
Label	Dim.	$A$	Field	CM	$a_2$	$a_3$	$a_5$	$a_7$	2	3	11	$q$-expansion
6534.2.a.a	$1$	$52.174$	$\Q$	None	$-1$	$0$	$-3$	$0$	$+$	$+$	$+$	$q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}-3q^{13}+\cdots$
6534.2.a.b	$1$	$52.174$	$\Q$	None	$-1$	$0$	$-3$	$1$	$+$	$+$	$-$	$q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots$
6534.2.a.c	$1$	$52.174$	$\Q$	None	$-1$	$0$	$-3$	$4$	$+$	$-$	$-$	$q-q^{2}+q^{4}-3q^{5}+4q^{7}-q^{8}+3q^{10}+\cdots$
6534.2.a.d	$1$	$52.174$	$\Q$	None	$-1$	$0$	$-2$	$1$	$+$	$-$	$-$	$q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots$
6534.2.a.e	$1$	$52.174$	$\Q$	None	$-1$	$0$	$-1$	$-4$	$+$	$-$	$-$	$q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots$
6534.2.a.f	$1$	$52.174$	$\Q$	None	$-1$	$0$	$-1$	$-2$	$+$	$+$	$-$	$q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots$
6534.2.a.g	$1$	$52.174$	$\Q$	None	$-1$	$0$	$0$	$-3$	$+$	$+$	$+$	$q-q^{2}+q^{4}-3q^{7}-q^{8}+3q^{14}+q^{16}+\cdots$
6534.2.a.h	$1$	$52.174$	$\Q$	None	$-1$	$0$	$0$	$3$	$+$	$-$	$+$	$q-q^{2}+q^{4}+3q^{7}-q^{8}-3q^{14}+q^{16}+\cdots$
6534.2.a.i	$1$	$52.174$	$\Q$	None	$-1$	$0$	$1$	$2$	$+$	$+$	$-$	$q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots$
6534.2.a.j	$1$	$52.174$	$\Q$	None	$-1$	$0$	$2$	$-1$	$+$	$-$	$-$	$q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots$
6534.2.a.k	$1$	$52.174$	$\Q$	None	$-1$	$0$	$2$	$-1$	$+$	$-$	$-$	$q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots$
6534.2.a.l	$1$	$52.174$	$\Q$	None	$-1$	$0$	$2$	$1$	$+$	$+$	$-$	$q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots$
6534.2.a.m	$1$	$52.174$	$\Q$	None	$-1$	$0$	$3$	$-4$	$+$	$-$	$-$	$q-q^{2}+q^{4}+3q^{5}-4q^{7}-q^{8}-3q^{10}+\cdots$
6534.2.a.n	$1$	$52.174$	$\Q$	None	$-1$	$0$	$3$	$0$	$+$	$+$	$+$	$q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+3q^{13}+\cdots$
6534.2.a.o	$1$	$52.174$	$\Q$	None	$-1$	$0$	$3$	$4$	$+$	$-$	$-$	$q-q^{2}+q^{4}+3q^{5}+4q^{7}-q^{8}-3q^{10}+\cdots$
6534.2.a.p	$1$	$52.174$	$\Q$	None	$1$	$0$	$-3$	$-4$	$-$	$-$	$-$	$q+q^{2}+q^{4}-3q^{5}-4q^{7}+q^{8}-3q^{10}+\cdots$
6534.2.a.q	$1$	$52.174$	$\Q$	None	$1$	$0$	$-3$	$0$	$-$	$+$	$+$	$q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}+3q^{13}+\cdots$
6534.2.a.r	$1$	$52.174$	$\Q$	None	$1$	$0$	$-3$	$4$	$-$	$-$	$-$	$q+q^{2}+q^{4}-3q^{5}+4q^{7}+q^{8}-3q^{10}+\cdots$
6534.2.a.s	$1$	$52.174$	$\Q$	None	$1$	$0$	$-2$	$-1$	$-$	$-$	$-$	$q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\cdots$
6534.2.a.t	$1$	$52.174$	$\Q$	None	$1$	$0$	$-2$	$-1$	$-$	$+$	$-$	$q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\cdots$
6534.2.a.u	$1$	$52.174$	$\Q$	None	$1$	$0$	$-2$	$1$	$-$	$-$	$-$	$q+q^{2}+q^{4}-2q^{5}+q^{7}+q^{8}-2q^{10}+\cdots$
6534.2.a.v	$1$	$52.174$	$\Q$	None	$1$	$0$	$-1$	$2$	$-$	$+$	$-$	$q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots$
6534.2.a.w	$1$	$52.174$	$\Q$	None	$1$	$0$	$0$	$-3$	$-$	$-$	$+$	$q+q^{2}+q^{4}-3q^{7}+q^{8}-3q^{14}+q^{16}+\cdots$
6534.2.a.x	$1$	$52.174$	$\Q$	None	$1$	$0$	$0$	$3$	$-$	$+$	$+$	$q+q^{2}+q^{4}+3q^{7}+q^{8}+3q^{14}+q^{16}+\cdots$
6534.2.a.y	$1$	$52.174$	$\Q$	None	$1$	$0$	$1$	$-4$	$-$	$-$	$-$	$q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots$
6534.2.a.z	$1$	$52.174$	$\Q$	None	$1$	$0$	$1$	$-2$	$-$	$+$	$-$	$q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots$
6534.2.a.ba	$1$	$52.174$	$\Q$	None	$1$	$0$	$2$	$1$	$-$	$-$	$-$	$q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots$
6534.2.a.bb	$1$	$52.174$	$\Q$	None	$1$	$0$	$3$	$0$	$-$	$+$	$+$	$q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}-3q^{13}+\cdots$
6534.2.a.bc	$1$	$52.174$	$\Q$	None	$1$	$0$	$3$	$1$	$-$	$-$	$-$	$q+q^{2}+q^{4}+3q^{5}+q^{7}+q^{8}+3q^{10}+\cdots$
6534.2.a.bd	$1$	$52.174$	$\Q$	None	$1$	$0$	$3$	$4$	$-$	$-$	$-$	$q+q^{2}+q^{4}+3q^{5}+4q^{7}+q^{8}+3q^{10}+\cdots$
6534.2.a.be	$2$	$52.174$	$\Q(\sqrt{5}) $	None	$-2$	$0$	$-4$	$-2$	$+$	$-$	$-$	$q-q^{2}+q^{4}+(-1-2\beta )q^{5}-q^{7}-q^{8}+\cdots$
6534.2.a.bf	$2$	$52.174$	$\Q(\sqrt{5}) $	None	$-2$	$0$	$-2$	$-1$	$+$	$+$	$+$	$q-q^{2}+q^{4}-2\beta q^{5}+(1-3\beta )q^{7}-q^{8}+\cdots$
6534.2.a.bg	$2$	$52.174$	$\Q(\sqrt{5}) $	None	$-2$	$0$	$-2$	$4$	$+$	$+$	$+$	$q-q^{2}+q^{4}-q^{5}+(1+2\beta )q^{7}-q^{8}+\cdots$
6534.2.a.bh	$2$	$52.174$	$\Q(\sqrt{5}) $	None	$-2$	$0$	$-2$	$7$	$+$	$-$	$-$	$q-q^{2}+q^{4}-2\beta q^{5}+(3+\beta )q^{7}-q^{8}+\cdots$
6534.2.a.bi	$2$	$52.174$	$\Q(\sqrt{5}) $	None	$-2$	$0$	$-1$	$-2$	$+$	$-$	$-$	$q-q^{2}+q^{4}-\beta q^{5}-q^{7}-q^{8}+\beta q^{10}+\cdots$
6534.2.a.bj	$2$	$52.174$	$\Q(\sqrt{13}) $	None	$-2$	$0$	$-1$	$0$	$+$	$-$	$-$	$q-q^{2}+q^{4}-\beta q^{5}+(1-2\beta )q^{7}-q^{8}+\cdots$
6534.2.a.bk	$2$	$52.174$	$\Q(\sqrt{37}) $	None	$-2$	$0$	$-1$	$2$	$+$	$+$	$-$	$q-q^{2}+q^{4}-\beta q^{5}+q^{7}-q^{8}+\beta q^{10}+\cdots$
6534.2.a.bl	$2$	$52.174$	$\Q(\sqrt{3}) $	None	$-2$	$0$	$0$	$0$	$+$	$+$	$+$	$q-q^{2}+q^{4}+\beta q^{5}-2\beta q^{7}-q^{8}-\beta q^{10}+\cdots$
6534.2.a.bm	$2$	$52.174$	$\Q(\sqrt{3}) $	None	$-2$	$0$	$0$	$0$	$+$	$+$	$+$	$q-q^{2}+q^{4}+2\beta q^{5}-\beta q^{7}-q^{8}-2\beta q^{10}+\cdots$
6534.2.a.bn	$2$	$52.174$	$\Q(\sqrt{3}) $	None	$-2$	$0$	$0$	$0$	$+$	$-$	$+$	$q-q^{2}+q^{4}+\beta q^{5}+2\beta q^{7}-q^{8}-\beta q^{10}+\cdots$
6534.2.a.bo	$2$	$52.174$	$\Q(\sqrt{3}) $	None	$-2$	$0$	$0$	$0$	$+$	$-$	$+$	$q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+4\beta q^{13}+\cdots$
6534.2.a.bp	$2$	$52.174$	$\Q(\sqrt{37}) $	None	$-2$	$0$	$1$	$-2$	$+$	$-$	$-$	$q-q^{2}+q^{4}+\beta q^{5}-q^{7}-q^{8}-\beta q^{10}+\cdots$
6534.2.a.bq	$2$	$52.174$	$\Q(\sqrt{13}) $	None	$-2$	$0$	$1$	$0$	$+$	$+$	$-$	$q-q^{2}+q^{4}+\beta q^{5}+(-1+2\beta )q^{7}+\cdots$
6534.2.a.br	$2$	$52.174$	$\Q(\sqrt{5}) $	None	$-2$	$0$	$1$	$2$	$+$	$+$	$+$	$q-q^{2}+q^{4}+\beta q^{5}+q^{7}-q^{8}-\beta q^{10}+\cdots$
6534.2.a.bs	$2$	$52.174$	$\Q(\sqrt{5}) $	None	$-2$	$0$	$2$	$-7$	$+$	$-$	$+$	$q-q^{2}+q^{4}+2\beta q^{5}+(-3-\beta )q^{7}+\cdots$
6534.2.a.bt	$2$	$52.174$	$\Q(\sqrt{5}) $	None	$-2$	$0$	$2$	$-4$	$+$	$+$	$-$	$q-q^{2}+q^{4}+q^{5}+(-1-2\beta )q^{7}-q^{8}+\cdots$
6534.2.a.bu	$2$	$52.174$	$\Q(\sqrt{10}) $	None	$-2$	$0$	$2$	$-4$	$+$	$+$	$-$	$q-q^{2}+q^{4}+(1+\beta )q^{5}-2q^{7}-q^{8}+\cdots$
6534.2.a.bv	$2$	$52.174$	$\Q(\sqrt{5}) $	None	$-2$	$0$	$2$	$1$	$+$	$+$	$-$	$q-q^{2}+q^{4}+2\beta q^{5}+(-1+3\beta )q^{7}+\cdots$
6534.2.a.bw	$2$	$52.174$	$\Q(\sqrt{5}) $	None	$-2$	$0$	$4$	$2$	$+$	$-$	$+$	$q-q^{2}+q^{4}+(1+2\beta )q^{5}+q^{7}-q^{8}+\cdots$
6534.2.a.bx	$2$	$52.174$	$\Q(\sqrt{5}) $	None	$2$	$0$	$-4$	$2$	$-$	$-$	$+$	$q+q^{2}+q^{4}+(-1-2\beta )q^{5}+q^{7}+q^{8}+\cdots$

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Label	Dim.	\(A\)	Field	CM	Traces				A-L signs			$q$-expansion
Label	Dim.	\(A\)	Field	CM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	2	3	11	$q$-expansion
6534.2.a.a	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(-3\)	\(0\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}-3q^{13}+\cdots\)
6534.2.a.b	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(-3\)	\(1\)	\(+\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots\)
6534.2.a.c	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(-3\)	\(4\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}-3q^{5}+4q^{7}-q^{8}+3q^{10}+\cdots\)
6534.2.a.d	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(-2\)	\(1\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots\)
6534.2.a.e	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(-1\)	\(-4\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots\)
6534.2.a.f	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(-1\)	\(-2\)	\(+\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots\)
6534.2.a.g	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(0\)	\(-3\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}-3q^{7}-q^{8}+3q^{14}+q^{16}+\cdots\)
6534.2.a.h	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(0\)	\(3\)	\(+\)	\(-\)	\(+\)	\(q-q^{2}+q^{4}+3q^{7}-q^{8}-3q^{14}+q^{16}+\cdots\)
6534.2.a.i	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(1\)	\(2\)	\(+\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
6534.2.a.j	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(2\)	\(-1\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots\)
6534.2.a.k	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(2\)	\(-1\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots\)
6534.2.a.l	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(2\)	\(1\)	\(+\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots\)
6534.2.a.m	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(3\)	\(-4\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}+3q^{5}-4q^{7}-q^{8}-3q^{10}+\cdots\)
6534.2.a.n	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(3\)	\(0\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+3q^{13}+\cdots\)
6534.2.a.o	\(1\)	\(52.174\)	\(\Q\)	None	\(-1\)	\(0\)	\(3\)	\(4\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}+3q^{5}+4q^{7}-q^{8}-3q^{10}+\cdots\)
6534.2.a.p	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(-3\)	\(-4\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}-3q^{5}-4q^{7}+q^{8}-3q^{10}+\cdots\)
6534.2.a.q	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(-3\)	\(0\)	\(-\)	\(+\)	\(+\)	\(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}+3q^{13}+\cdots\)
6534.2.a.r	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(-3\)	\(4\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}-3q^{5}+4q^{7}+q^{8}-3q^{10}+\cdots\)
6534.2.a.s	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(-2\)	\(-1\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\cdots\)
6534.2.a.t	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(-2\)	\(-1\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\cdots\)
6534.2.a.u	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(-2\)	\(1\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}-2q^{5}+q^{7}+q^{8}-2q^{10}+\cdots\)
6534.2.a.v	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(-1\)	\(2\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots\)
6534.2.a.w	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(0\)	\(-3\)	\(-\)	\(-\)	\(+\)	\(q+q^{2}+q^{4}-3q^{7}+q^{8}-3q^{14}+q^{16}+\cdots\)
6534.2.a.x	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(0\)	\(3\)	\(-\)	\(+\)	\(+\)	\(q+q^{2}+q^{4}+3q^{7}+q^{8}+3q^{14}+q^{16}+\cdots\)
6534.2.a.y	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(1\)	\(-4\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots\)
6534.2.a.z	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(1\)	\(-2\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots\)
6534.2.a.ba	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(2\)	\(1\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots\)
6534.2.a.bb	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(3\)	\(0\)	\(-\)	\(+\)	\(+\)	\(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}-3q^{13}+\cdots\)
6534.2.a.bc	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(3\)	\(1\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}+3q^{5}+q^{7}+q^{8}+3q^{10}+\cdots\)
6534.2.a.bd	\(1\)	\(52.174\)	\(\Q\)	None	\(1\)	\(0\)	\(3\)	\(4\)	\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{4}+3q^{5}+4q^{7}+q^{8}+3q^{10}+\cdots\)
6534.2.a.be	\(2\)	\(52.174\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(0\)	\(-4\)	\(-2\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}+(-1-2\beta )q^{5}-q^{7}-q^{8}+\cdots\)
6534.2.a.bf	\(2\)	\(52.174\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(0\)	\(-2\)	\(-1\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}-2\beta q^{5}+(1-3\beta )q^{7}-q^{8}+\cdots\)
6534.2.a.bg	\(2\)	\(52.174\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(0\)	\(-2\)	\(4\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}-q^{5}+(1+2\beta )q^{7}-q^{8}+\cdots\)
6534.2.a.bh	\(2\)	\(52.174\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(0\)	\(-2\)	\(7\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}-2\beta q^{5}+(3+\beta )q^{7}-q^{8}+\cdots\)
6534.2.a.bi	\(2\)	\(52.174\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(0\)	\(-1\)	\(-2\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}-\beta q^{5}-q^{7}-q^{8}+\beta q^{10}+\cdots\)
6534.2.a.bj	\(2\)	\(52.174\)	\(\Q(\sqrt{13}) \)	None	\(-2\)	\(0\)	\(-1\)	\(0\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}-\beta q^{5}+(1-2\beta )q^{7}-q^{8}+\cdots\)
6534.2.a.bk	\(2\)	\(52.174\)	\(\Q(\sqrt{37}) \)	None	\(-2\)	\(0\)	\(-1\)	\(2\)	\(+\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}-\beta q^{5}+q^{7}-q^{8}+\beta q^{10}+\cdots\)
6534.2.a.bl	\(2\)	\(52.174\)	\(\Q(\sqrt{3}) \)	None	\(-2\)	\(0\)	\(0\)	\(0\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}+\beta q^{5}-2\beta q^{7}-q^{8}-\beta q^{10}+\cdots\)
6534.2.a.bm	\(2\)	\(52.174\)	\(\Q(\sqrt{3}) \)	None	\(-2\)	\(0\)	\(0\)	\(0\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}+2\beta q^{5}-\beta q^{7}-q^{8}-2\beta q^{10}+\cdots\)
6534.2.a.bn	\(2\)	\(52.174\)	\(\Q(\sqrt{3}) \)	None	\(-2\)	\(0\)	\(0\)	\(0\)	\(+\)	\(-\)	\(+\)	\(q-q^{2}+q^{4}+\beta q^{5}+2\beta q^{7}-q^{8}-\beta q^{10}+\cdots\)
6534.2.a.bo	\(2\)	\(52.174\)	\(\Q(\sqrt{3}) \)	None	\(-2\)	\(0\)	\(0\)	\(0\)	\(+\)	\(-\)	\(+\)	\(q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+4\beta q^{13}+\cdots\)
6534.2.a.bp	\(2\)	\(52.174\)	\(\Q(\sqrt{37}) \)	None	\(-2\)	\(0\)	\(1\)	\(-2\)	\(+\)	\(-\)	\(-\)	\(q-q^{2}+q^{4}+\beta q^{5}-q^{7}-q^{8}-\beta q^{10}+\cdots\)
6534.2.a.bq	\(2\)	\(52.174\)	\(\Q(\sqrt{13}) \)	None	\(-2\)	\(0\)	\(1\)	\(0\)	\(+\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}+\beta q^{5}+(-1+2\beta )q^{7}+\cdots\)
6534.2.a.br	\(2\)	\(52.174\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(0\)	\(1\)	\(2\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}+q^{4}+\beta q^{5}+q^{7}-q^{8}-\beta q^{10}+\cdots\)
6534.2.a.bs	\(2\)	\(52.174\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(0\)	\(2\)	\(-7\)	\(+\)	\(-\)	\(+\)	\(q-q^{2}+q^{4}+2\beta q^{5}+(-3-\beta )q^{7}+\cdots\)
6534.2.a.bt	\(2\)	\(52.174\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(0\)	\(2\)	\(-4\)	\(+\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}+q^{5}+(-1-2\beta )q^{7}-q^{8}+\cdots\)
6534.2.a.bu	\(2\)	\(52.174\)	\(\Q(\sqrt{10}) \)	None	\(-2\)	\(0\)	\(2\)	\(-4\)	\(+\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}+(1+\beta )q^{5}-2q^{7}-q^{8}+\cdots\)
6534.2.a.bv	\(2\)	\(52.174\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(0\)	\(2\)	\(1\)	\(+\)	\(+\)	\(-\)	\(q-q^{2}+q^{4}+2\beta q^{5}+(-1+3\beta )q^{7}+\cdots\)
6534.2.a.bw	\(2\)	\(52.174\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(0\)	\(4\)	\(2\)	\(+\)	\(-\)	\(+\)	\(q-q^{2}+q^{4}+(1+2\beta )q^{5}+q^{7}-q^{8}+\cdots\)
6534.2.a.bx	\(2\)	\(52.174\)	\(\Q(\sqrt{5}) \)	None	\(2\)	\(0\)	\(-4\)	\(2\)	\(-\)	\(-\)	\(+\)	\(q+q^{2}+q^{4}+(-1-2\beta )q^{5}+q^{7}+q^{8}+\cdots\)

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.