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

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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 (15 matches)

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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
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5700.2.a.a	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{7}+q^{9}+4q^{13}-6q^{17}+\cdots\)
5700.2.a.b	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{7}+q^{9}+2q^{17}-q^{19}+q^{21}+\cdots\)
5700.2.a.c	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}-4q^{11}-4q^{17}+\cdots\)
5700.2.a.e	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}+4q^{13}+q^{19}-q^{21}+\cdots\)
5700.2.a.g	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(3\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
5700.2.a.h	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(4\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+4q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
5700.2.a.k	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-3\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
5700.2.a.n	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}+q^{9}-4q^{11}+4q^{17}+\cdots\)
5700.2.a.o	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}+q^{9}-4q^{13}+q^{19}-q^{21}+\cdots\)
5700.2.a.p	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{9}+2q^{11}-2q^{13}-6q^{17}+\cdots\)
5700.2.a.q	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{7}+q^{9}-2q^{17}-q^{19}+q^{21}+\cdots\)
5700.2.a.t	$5700$	$2$	5700.a	1.a	$1$	$2$	$2$	$45.515$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
5700.2.a.u	$5700$	$2$	5700.a	1.a	$1$	$2$	$2$	$45.515$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1-\beta )q^{7}+q^{9}+(-1+\beta )q^{11}+\cdots\)
5700.2.a.y	$5700$	$2$	5700.a	1.a	$1$	$3$	$3$	$45.515$	3.3.148.1	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{2}q^{7}+q^{9}+(-1-\beta _{1})q^{11}+\cdots\)
5700.2.a.bc	$5700$	$2$	5700.a	1.a	$1$	$5$	$5$	$45.515$	5.5.13090800.1	None	✓	$1$	$1$	\(0\)	\(-5\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta _{1}q^{7}+q^{9}+(1-\beta _{3})q^{11}+\cdots\)

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