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Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Level	Weight	Analytic conductor	\(Nk^2\)	Dim.
Bad \(p\)	Char.	Primitive character	Character order	Coefficient field
Self-twists	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 (11 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3
5184.2.a.n	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+3q^{7}-5q^{11}+5q^{13}+2q^{17}+\cdots\)
5184.2.a.p	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}+3q^{11}-2q^{13}+3q^{17}-q^{19}+\cdots\)
5184.2.a.bb	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+q^{7}-3q^{11}+q^{13}-6q^{17}+\cdots\)
5184.2.a.bh	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+(-2+\beta )q^{5}+(-3+2\beta )q^{13}+(4+\cdots)q^{17}+\cdots\)
5184.2.a.bi	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{5}+2\beta q^{7}+2q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.bl	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-\beta q^{7}+\beta q^{11}+3q^{13}-4q^{17}+\cdots\)
5184.2.a.bo	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{5}+(-2+\beta )q^{7}-q^{11}+(-2+\cdots)q^{13}+\cdots\)
5184.2.a.bq	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-2q^{7}-2\beta q^{11}+q^{13}+3\beta q^{17}+\cdots\)
5184.2.a.bz	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}-2\beta q^{7}-2q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.ca	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+(2+\beta )q^{5}+(-3-2\beta )q^{13}+(-4+\cdots)q^{17}+\cdots\)
5184.2.a.cc	$5184$	$2$	5184.a	1.a	$1$	$4$	$4$	$41.394$	4.4.13068.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{5}+\beta _{3}q^{7}-\beta _{2}q^{11}+\cdots\)