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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 (14 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	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6900.2.a.b	$6900$	$2$	6900.a	1.a	$1$	$1$	$1$	$55.097$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}+4q^{13}+3q^{17}+\cdots\)
6900.2.a.d	$6900$	$2$	6900.a	1.a	$1$	$1$	$1$	$55.097$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(3\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{7}+q^{9}+q^{11}-q^{13}-5q^{19}+\cdots\)
6900.2.a.e	$6900$	$2$	6900.a	1.a	$1$	$1$	$1$	$55.097$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(4\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+4q^{7}+q^{9}-2q^{13}-6q^{17}+\cdots\)
6900.2.a.h	$6900$	$2$	6900.a	1.a	$1$	$1$	$1$	$55.097$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(3\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{7}+q^{9}-5q^{11}+q^{13}+\cdots\)
6900.2.a.j	$6900$	$2$	6900.a	1.a	$1$	$2$	$2$	$55.097$	\(\Q(\sqrt{15}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-6\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{7}+q^{9}+(1-\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
6900.2.a.k	$6900$	$2$	6900.a	1.a	$1$	$2$	$2$	$55.097$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-5\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-2-\beta )q^{7}+q^{9}+\beta q^{11}+\cdots\)
6900.2.a.l	$6900$	$2$	6900.a	1.a	$1$	$2$	$2$	$55.097$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-5\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-2-\beta )q^{7}+q^{9}+(2+\beta )q^{11}+\cdots\)
6900.2.a.n	$6900$	$2$	6900.a	1.a	$1$	$2$	$2$	$55.097$	\(\Q(\sqrt{73}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}+(-1+\beta )q^{11}+q^{13}+\cdots\)
6900.2.a.q	$6900$	$2$	6900.a	1.a	$1$	$2$	$2$	$55.097$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-3\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1-\beta )q^{7}+q^{9}+(1-\beta )q^{11}+\cdots\)
6900.2.a.r	$6900$	$2$	6900.a	1.a	$1$	$2$	$2$	$55.097$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}+q^{9}+(-2-\beta )q^{11}-\beta q^{13}+\cdots\)
6900.2.a.u	$6900$	$2$	6900.a	1.a	$1$	$2$	$2$	$55.097$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-\beta q^{7}+q^{9}+2\beta q^{11}-2q^{13}+\cdots\)
6900.2.a.y	$6900$	$2$	6900.a	1.a	$1$	$3$	$3$	$55.097$	3.3.148.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(3\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}-\beta _{2}q^{11}+(1-\beta _{1}+\cdots)q^{13}+\cdots\)
6900.2.a.z	$6900$	$2$	6900.a	1.a	$1$	$3$	$3$	$55.097$	3.3.148.1	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-3\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}+q^{9}-\beta _{2}q^{11}+(-1+\beta _{1}+\cdots)q^{13}+\cdots\)
6900.2.a.bb	$6900$	$2$	6900.a	1.a	$1$	$4$	$4$	$55.097$	4.4.175557.1	None	✓	$1$	$1$	\(0\)	\(4\)	\(0\)	\(-3\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1+\beta _{1}+\beta _{3})q^{7}+q^{9}-\beta _{1}q^{11}+\cdots\)

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