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 163 matches)

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Label	Dim.	$A$	Field	CM	Traces				Fricke sign	$q$-expansion
Label	Dim.	$A$	Field	CM	$a_2$	$a_3$	$a_5$	$a_7$	Fricke sign	$q$-expansion
1530.2.a.a	$1$	$12.217$	$\Q$	None	$-1$	$0$	$-1$	$-4$	$-$	$q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots$
1530.2.a.b	$1$	$12.217$	$\Q$	None	$-1$	$0$	$-1$	$0$	$-$	$q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-4q^{11}+\cdots$
1530.2.a.c	$1$	$12.217$	$\Q$	None	$-1$	$0$	$-1$	$2$	$+$	$q-q^{2}+q^{4}-q^{5}+2q^{7}-q^{8}+q^{10}+\cdots$
1530.2.a.d	$1$	$12.217$	$\Q$	None	$-1$	$0$	$1$	$-4$	$+$	$q-q^{2}+q^{4}+q^{5}-4q^{7}-q^{8}-q^{10}+\cdots$
1530.2.a.e	$1$	$12.217$	$\Q$	None	$-1$	$0$	$1$	$-2$	$+$	$q-q^{2}+q^{4}+q^{5}-2q^{7}-q^{8}-q^{10}+\cdots$
1530.2.a.f	$1$	$12.217$	$\Q$	None	$-1$	$0$	$1$	$0$	$+$	$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-4q^{11}+\cdots$
1530.2.a.g	$1$	$12.217$	$\Q$	None	$-1$	$0$	$1$	$2$	$-$	$q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots$
1530.2.a.h	$1$	$12.217$	$\Q$	None	$-1$	$0$	$1$	$2$	$-$	$q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots$
1530.2.a.i	$1$	$12.217$	$\Q$	None	$1$	$0$	$-1$	$-2$	$+$	$q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots$
1530.2.a.j	$1$	$12.217$	$\Q$	None	$1$	$0$	$-1$	$-2$	$+$	$q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots$
1530.2.a.k	$1$	$12.217$	$\Q$	None	$1$	$0$	$-1$	$-2$	$-$	$q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots$
1530.2.a.l	$1$	$12.217$	$\Q$	None	$1$	$0$	$-1$	$2$	$-$	$q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots$
1530.2.a.m	$1$	$12.217$	$\Q$	None	$1$	$0$	$1$	$-4$	$+$	$q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots$
1530.2.a.n	$1$	$12.217$	$\Q$	None	$1$	$0$	$1$	$2$	$-$	$q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots$
1530.2.a.o	$1$	$12.217$	$\Q$	None	$1$	$0$	$1$	$2$	$-$	$q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots$
1530.2.a.p	$1$	$12.217$	$\Q$	None	$1$	$0$	$1$	$2$	$-$	$q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots$
1530.2.a.q	$2$	$12.217$	$\Q(\sqrt{5}) $	None	$-2$	$0$	$-2$	$2$	$+$	$q-q^{2}+q^{4}-q^{5}+(1+\beta )q^{7}-q^{8}+\cdots$
1530.2.a.r	$2$	$12.217$	$\Q(\sqrt{17}) $	None	$-2$	$0$	$-2$	$2$	$-$	$q-q^{2}+q^{4}-q^{5}+2\beta q^{7}-q^{8}+q^{10}+\cdots$
1530.2.a.s	$2$	$12.217$	$\Q(\sqrt{6}) $	None	$2$	$0$	$-2$	$0$	$-$	$q+q^{2}+q^{4}-q^{5}+\beta q^{7}+q^{8}-q^{10}+\cdots$
1530.2.a.t	$2$	$12.217$	$\Q(\sqrt{5}) $	None	$2$	$0$	$2$	$2$	$-$	$q+q^{2}+q^{4}+q^{5}+(1+\beta )q^{7}+q^{8}+\cdots$
1530.2.c.a	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$-2$	$0$	$0$	$0$		$q-q^{2}+q^{4}-iq^{5}+2iq^{7}-q^{8}+iq^{10}+\cdots$
1530.2.c.b	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$-2$	$0$	$0$	$0$		$q-q^{2}+q^{4}+iq^{5}+4iq^{7}-q^{8}-iq^{10}+\cdots$
1530.2.c.c	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$-2$	$0$	$0$	$0$		$q-q^{2}+q^{4}-iq^{5}+2iq^{7}-q^{8}+iq^{10}+\cdots$
1530.2.c.d	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$2$	$0$	$0$	$0$		$q+q^{2}+q^{4}-iq^{5}+q^{8}-iq^{10}-6iq^{11}+\cdots$
1530.2.c.e	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$2$	$0$	$0$	$0$		$q+q^{2}+q^{4}-iq^{5}+q^{8}-iq^{10}+4iq^{11}+\cdots$
1530.2.c.f	$4$	$12.217$	$\Q(\zeta_{8})$	None	$-4$	$0$	$0$	$0$		$q-q^{2}+q^{4}-\zeta_{8}q^{5}+(2\zeta_{8}+\zeta_{8}^{2})q^{7}+\cdots$
1530.2.c.g	$4$	$12.217$	$\Q(i, \sqrt{13})$	None	$4$	$0$	$0$	$0$		$q+q^{2}+q^{4}+\beta _{1}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+\cdots$
1530.2.c.h	$6$	$12.217$	6.0.5089536.1	None	$-6$	$0$	$0$	$0$		$q-q^{2}+q^{4}-\beta _{3}q^{5}+(\beta _{1}-\beta _{3})q^{7}+\cdots$
1530.2.c.i	$6$	$12.217$	6.0.5089536.1	None	$6$	$0$	$0$	$0$		$q+q^{2}+q^{4}+\beta _{3}q^{5}+(\beta _{1}-\beta _{3})q^{7}+\cdots$
1530.2.d.a	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-4$	$0$		$q-iq^{2}-q^{4}+(-2+i)q^{5}+iq^{8}+\cdots$
1530.2.d.b	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-2$	$0$		$q-iq^{2}-q^{4}+(-1-2i)q^{5}+iq^{8}+\cdots$
1530.2.d.c	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$4$	$0$		$q+iq^{2}-q^{4}+(2+i)q^{5}+4iq^{7}-iq^{8}+\cdots$
1530.2.d.d	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$4$	$0$		$q-iq^{2}-q^{4}+(2+i)q^{5}+iq^{8}+(1+\cdots)q^{10}+\cdots$
1530.2.d.e	$4$	$12.217$	$\Q(i, \sqrt{6})$	None	$0$	$0$	$-4$	$0$		$q-\beta _{2}q^{2}-q^{4}+(-1+\beta _{1}+\beta _{2})q^{5}+\cdots$
1530.2.d.f	$4$	$12.217$	$\Q(i, \sqrt{5})$	None	$0$	$0$	$0$	$0$		$q+\beta _{1}q^{2}-q^{4}-\beta _{2}q^{5}+(-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$
1530.2.d.g	$6$	$12.217$	6.0.5161984.1	None	$0$	$0$	$-2$	$0$		$q+\beta _{4}q^{2}-q^{4}+(\beta _{1}+\beta _{3})q^{5}+(\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$
1530.2.d.h	$6$	$12.217$	6.0.350464.1	None	$0$	$0$	$-2$	$0$		$q-\beta _{1}q^{2}-q^{4}-\beta _{2}q^{5}+(-\beta _{2}-\beta _{5})q^{7}+\cdots$
1530.2.d.i	$6$	$12.217$	6.0.5161984.1	None	$0$	$0$	$0$	$0$		$q-\beta _{3}q^{2}-q^{4}-\beta _{4}q^{5}+(\beta _{1}+\beta _{2}+2\beta _{3}+\cdots)q^{7}+\cdots$
1530.2.d.j	$6$	$12.217$	6.0.350464.1	None	$0$	$0$	$2$	$0$		$q+\beta _{1}q^{2}-q^{4}+\beta _{2}q^{5}+(-\beta _{2}-\beta _{5})q^{7}+\cdots$
1530.2.f.a	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-4$	$-8$		$q-iq^{2}-q^{4}+(-2+i)q^{5}-4q^{7}+\cdots$
1530.2.f.b	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-4$	$4$		$q+iq^{2}-q^{4}+(-2-i)q^{5}+2q^{7}+\cdots$
1530.2.f.c	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$-4$	$8$		$q+iq^{2}-q^{4}+(-2+i)q^{5}+4q^{7}+\cdots$
1530.2.f.d	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$4$	$-8$		$q-iq^{2}-q^{4}+(2+i)q^{5}-4q^{7}+iq^{8}+\cdots$
1530.2.f.e	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$4$	$-4$		$q+iq^{2}-q^{4}+(2+i)q^{5}-2q^{7}-iq^{8}+\cdots$
1530.2.f.f	$2$	$12.217$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$4$	$8$		$q+iq^{2}-q^{4}+(2+i)q^{5}+4q^{7}-iq^{8}+\cdots$
1530.2.f.g	$4$	$12.217$	$\Q(i, \sqrt{6})$	None	$0$	$0$	$-4$	$-8$		$q-\beta _{2}q^{2}-q^{4}+(-1-\beta _{2}+\beta _{3})q^{5}+\cdots$
1530.2.f.h	$4$	$12.217$	$\Q(\zeta_{8})$	None	$0$	$0$	$0$	$0$		$q-\zeta_{8}^{2}q^{2}-q^{4}+(2\zeta_{8}+\zeta_{8}^{3})q^{5}+(3\zeta_{8}+\cdots)q^{7}+\cdots$
1530.2.f.i	$4$	$12.217$	$\Q(i, \sqrt{6})$	None	$0$	$0$	$4$	$8$		$q-\beta _{2}q^{2}-q^{4}+(1+\beta _{2}+\beta _{3})q^{5}+(2+\cdots)q^{7}+\cdots$
1530.2.f.j	$6$	$12.217$	6.0.350464.1	None	$0$	$0$	$-2$	$-4$		$q+\beta _{4}q^{2}-q^{4}+(\beta _{1}+\beta _{5})q^{5}+(-1+\cdots)q^{7}+\cdots$
1530.2.f.k	$6$	$12.217$	6.0.350464.1	None	$0$	$0$	$2$	$4$		$q+\beta _{4}q^{2}-q^{4}+(-\beta _{1}-\beta _{5})q^{5}+(1+\cdots)q^{7}+\cdots$

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Degree 1	Degree 2
Degree 3	Degree 4
$\zeta$ zeros

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Label	Dim.	\(A\)	Field	CM	Traces				Fricke sign	$q$-expansion
Label	Dim.	\(A\)	Field	CM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	Fricke sign	$q$-expansion
1530.2.a.a	\(1\)	\(12.217\)	\(\Q\)	None	\(-1\)	\(0\)	\(-1\)	\(-4\)	\(-\)	\(q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots\)
1530.2.a.b	\(1\)	\(12.217\)	\(\Q\)	None	\(-1\)	\(0\)	\(-1\)	\(0\)	\(-\)	\(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-4q^{11}+\cdots\)
1530.2.a.c	\(1\)	\(12.217\)	\(\Q\)	None	\(-1\)	\(0\)	\(-1\)	\(2\)	\(+\)	\(q-q^{2}+q^{4}-q^{5}+2q^{7}-q^{8}+q^{10}+\cdots\)
1530.2.a.d	\(1\)	\(12.217\)	\(\Q\)	None	\(-1\)	\(0\)	\(1\)	\(-4\)	\(+\)	\(q-q^{2}+q^{4}+q^{5}-4q^{7}-q^{8}-q^{10}+\cdots\)
1530.2.a.e	\(1\)	\(12.217\)	\(\Q\)	None	\(-1\)	\(0\)	\(1\)	\(-2\)	\(+\)	\(q-q^{2}+q^{4}+q^{5}-2q^{7}-q^{8}-q^{10}+\cdots\)
1530.2.a.f	\(1\)	\(12.217\)	\(\Q\)	None	\(-1\)	\(0\)	\(1\)	\(0\)	\(+\)	\(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-4q^{11}+\cdots\)
1530.2.a.g	\(1\)	\(12.217\)	\(\Q\)	None	\(-1\)	\(0\)	\(1\)	\(2\)	\(-\)	\(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
1530.2.a.h	\(1\)	\(12.217\)	\(\Q\)	None	\(-1\)	\(0\)	\(1\)	\(2\)	\(-\)	\(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
1530.2.a.i	\(1\)	\(12.217\)	\(\Q\)	None	\(1\)	\(0\)	\(-1\)	\(-2\)	\(+\)	\(q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots\)
1530.2.a.j	\(1\)	\(12.217\)	\(\Q\)	None	\(1\)	\(0\)	\(-1\)	\(-2\)	\(+\)	\(q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots\)
1530.2.a.k	\(1\)	\(12.217\)	\(\Q\)	None	\(1\)	\(0\)	\(-1\)	\(-2\)	\(-\)	\(q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots\)
1530.2.a.l	\(1\)	\(12.217\)	\(\Q\)	None	\(1\)	\(0\)	\(-1\)	\(2\)	\(-\)	\(q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots\)
1530.2.a.m	\(1\)	\(12.217\)	\(\Q\)	None	\(1\)	\(0\)	\(1\)	\(-4\)	\(+\)	\(q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots\)
1530.2.a.n	\(1\)	\(12.217\)	\(\Q\)	None	\(1\)	\(0\)	\(1\)	\(2\)	\(-\)	\(q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots\)
1530.2.a.o	\(1\)	\(12.217\)	\(\Q\)	None	\(1\)	\(0\)	\(1\)	\(2\)	\(-\)	\(q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots\)
1530.2.a.p	\(1\)	\(12.217\)	\(\Q\)	None	\(1\)	\(0\)	\(1\)	\(2\)	\(-\)	\(q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots\)
1530.2.a.q	\(2\)	\(12.217\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(0\)	\(-2\)	\(2\)	\(+\)	\(q-q^{2}+q^{4}-q^{5}+(1+\beta )q^{7}-q^{8}+\cdots\)
1530.2.a.r	\(2\)	\(12.217\)	\(\Q(\sqrt{17}) \)	None	\(-2\)	\(0\)	\(-2\)	\(2\)	\(-\)	\(q-q^{2}+q^{4}-q^{5}+2\beta q^{7}-q^{8}+q^{10}+\cdots\)
1530.2.a.s	\(2\)	\(12.217\)	\(\Q(\sqrt{6}) \)	None	\(2\)	\(0\)	\(-2\)	\(0\)	\(-\)	\(q+q^{2}+q^{4}-q^{5}+\beta q^{7}+q^{8}-q^{10}+\cdots\)
1530.2.a.t	\(2\)	\(12.217\)	\(\Q(\sqrt{5}) \)	None	\(2\)	\(0\)	\(2\)	\(2\)	\(-\)	\(q+q^{2}+q^{4}+q^{5}+(1+\beta )q^{7}+q^{8}+\cdots\)
1530.2.c.a	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(-2\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}+q^{4}-iq^{5}+2iq^{7}-q^{8}+iq^{10}+\cdots\)
1530.2.c.b	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(-2\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}+q^{4}+iq^{5}+4iq^{7}-q^{8}-iq^{10}+\cdots\)
1530.2.c.c	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(-2\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}+q^{4}-iq^{5}+2iq^{7}-q^{8}+iq^{10}+\cdots\)
1530.2.c.d	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(2\)	\(0\)	\(0\)	\(0\)		\(q+q^{2}+q^{4}-iq^{5}+q^{8}-iq^{10}-6iq^{11}+\cdots\)
1530.2.c.e	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(2\)	\(0\)	\(0\)	\(0\)		\(q+q^{2}+q^{4}-iq^{5}+q^{8}-iq^{10}+4iq^{11}+\cdots\)
1530.2.c.f	\(4\)	\(12.217\)	\(\Q(\zeta_{8})\)	None	\(-4\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}+q^{4}-\zeta_{8}q^{5}+(2\zeta_{8}+\zeta_{8}^{2})q^{7}+\cdots\)
1530.2.c.g	\(4\)	\(12.217\)	\(\Q(i, \sqrt{13})\)	None	\(4\)	\(0\)	\(0\)	\(0\)		\(q+q^{2}+q^{4}+\beta _{1}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+\cdots\)
1530.2.c.h	\(6\)	\(12.217\)	6.0.5089536.1	None	\(-6\)	\(0\)	\(0\)	\(0\)		\(q-q^{2}+q^{4}-\beta _{3}q^{5}+(\beta _{1}-\beta _{3})q^{7}+\cdots\)
1530.2.c.i	\(6\)	\(12.217\)	6.0.5089536.1	None	\(6\)	\(0\)	\(0\)	\(0\)		\(q+q^{2}+q^{4}+\beta _{3}q^{5}+(\beta _{1}-\beta _{3})q^{7}+\cdots\)
1530.2.d.a	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-4\)	\(0\)		\(q-iq^{2}-q^{4}+(-2+i)q^{5}+iq^{8}+\cdots\)
1530.2.d.b	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-2\)	\(0\)		\(q-iq^{2}-q^{4}+(-1-2i)q^{5}+iq^{8}+\cdots\)
1530.2.d.c	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(4\)	\(0\)		\(q+iq^{2}-q^{4}+(2+i)q^{5}+4iq^{7}-iq^{8}+\cdots\)
1530.2.d.d	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(4\)	\(0\)		\(q-iq^{2}-q^{4}+(2+i)q^{5}+iq^{8}+(1+\cdots)q^{10}+\cdots\)
1530.2.d.e	\(4\)	\(12.217\)	\(\Q(i, \sqrt{6})\)	None	\(0\)	\(0\)	\(-4\)	\(0\)		\(q-\beta _{2}q^{2}-q^{4}+(-1+\beta _{1}+\beta _{2})q^{5}+\cdots\)
1530.2.d.f	\(4\)	\(12.217\)	\(\Q(i, \sqrt{5})\)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q+\beta _{1}q^{2}-q^{4}-\beta _{2}q^{5}+(-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
1530.2.d.g	\(6\)	\(12.217\)	6.0.5161984.1	None	\(0\)	\(0\)	\(-2\)	\(0\)		\(q+\beta _{4}q^{2}-q^{4}+(\beta _{1}+\beta _{3})q^{5}+(\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
1530.2.d.h	\(6\)	\(12.217\)	6.0.350464.1	None	\(0\)	\(0\)	\(-2\)	\(0\)		\(q-\beta _{1}q^{2}-q^{4}-\beta _{2}q^{5}+(-\beta _{2}-\beta _{5})q^{7}+\cdots\)
1530.2.d.i	\(6\)	\(12.217\)	6.0.5161984.1	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q-\beta _{3}q^{2}-q^{4}-\beta _{4}q^{5}+(\beta _{1}+\beta _{2}+2\beta _{3}+\cdots)q^{7}+\cdots\)
1530.2.d.j	\(6\)	\(12.217\)	6.0.350464.1	None	\(0\)	\(0\)	\(2\)	\(0\)		\(q+\beta _{1}q^{2}-q^{4}+\beta _{2}q^{5}+(-\beta _{2}-\beta _{5})q^{7}+\cdots\)
1530.2.f.a	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-4\)	\(-8\)		\(q-iq^{2}-q^{4}+(-2+i)q^{5}-4q^{7}+\cdots\)
1530.2.f.b	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-4\)	\(4\)		\(q+iq^{2}-q^{4}+(-2-i)q^{5}+2q^{7}+\cdots\)
1530.2.f.c	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(-4\)	\(8\)		\(q+iq^{2}-q^{4}+(-2+i)q^{5}+4q^{7}+\cdots\)
1530.2.f.d	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(4\)	\(-8\)		\(q-iq^{2}-q^{4}+(2+i)q^{5}-4q^{7}+iq^{8}+\cdots\)
1530.2.f.e	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(4\)	\(-4\)		\(q+iq^{2}-q^{4}+(2+i)q^{5}-2q^{7}-iq^{8}+\cdots\)
1530.2.f.f	\(2\)	\(12.217\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(4\)	\(8\)		\(q+iq^{2}-q^{4}+(2+i)q^{5}+4q^{7}-iq^{8}+\cdots\)
1530.2.f.g	\(4\)	\(12.217\)	\(\Q(i, \sqrt{6})\)	None	\(0\)	\(0\)	\(-4\)	\(-8\)		\(q-\beta _{2}q^{2}-q^{4}+(-1-\beta _{2}+\beta _{3})q^{5}+\cdots\)
1530.2.f.h	\(4\)	\(12.217\)	\(\Q(\zeta_{8})\)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(q-\zeta_{8}^{2}q^{2}-q^{4}+(2\zeta_{8}+\zeta_{8}^{3})q^{5}+(3\zeta_{8}+\cdots)q^{7}+\cdots\)
1530.2.f.i	\(4\)	\(12.217\)	\(\Q(i, \sqrt{6})\)	None	\(0\)	\(0\)	\(4\)	\(8\)		\(q-\beta _{2}q^{2}-q^{4}+(1+\beta _{2}+\beta _{3})q^{5}+(2+\cdots)q^{7}+\cdots\)
1530.2.f.j	\(6\)	\(12.217\)	6.0.350464.1	None	\(0\)	\(0\)	\(-2\)	\(-4\)		\(q+\beta _{4}q^{2}-q^{4}+(\beta _{1}+\beta _{5})q^{5}+(-1+\cdots)q^{7}+\cdots\)
1530.2.f.k	\(6\)	\(12.217\)	6.0.350464.1	None	\(0\)	\(0\)	\(2\)	\(4\)		\(q+\beta _{4}q^{2}-q^{4}+(-\beta _{1}-\beta _{5})q^{5}+(1+\cdots)q^{7}+\cdots\)

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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.