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

Results (13 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	7	11
2464.2.a.a	$2464$	$2$	2464.a	1.a	$1$	$1$	$1$	$19.675$	\(\Q\)	None	✓	✓			2464.2.a.a	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{5}-q^{7}+q^{9}+q^{11}+4q^{13}+\cdots\)
2464.2.a.b	$2464$	$2$	2464.a	1.a	$1$	$1$	$1$	$19.675$	\(\Q\)	None	✓	✓			2464.2.a.b	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{7}+q^{9}+q^{11}-6q^{17}+\cdots\)
2464.2.a.d	$2464$	$2$	2464.a	1.a	$1$	$1$	$1$	$19.675$	\(\Q\)	None	✓	✓			2464.2.a.d	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}-q^{7}-2q^{9}-q^{11}+6q^{13}+\cdots\)
2464.2.a.g	$2464$	$2$	2464.a	1.a	$1$	$1$	$1$	$19.675$	\(\Q\)	None	✓	✓			2464.2.a.f	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}-3q^{9}-q^{11}-2q^{13}+4q^{17}+\cdots\)
2464.2.a.h	$2464$	$2$	2464.a	1.a	$1$	$1$	$1$	$19.675$	\(\Q\)	None	✓	✓			2464.2.a.d	$1$	$1$	\(0\)	\(1\)	\(-3\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}+q^{7}-2q^{9}+q^{11}+6q^{13}+\cdots\)
2464.2.a.i	$2464$	$2$	2464.a	1.a	$1$	$1$	$1$	$19.675$	\(\Q\)	None	✓	✓			2464.2.a.e	$1$	$1$	\(0\)	\(1\)	\(1\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-q^{7}-2q^{9}+q^{11}-2q^{13}+\cdots\)
2464.2.a.k	$2464$	$2$	2464.a	1.a	$1$	$1$	$1$	$19.675$	\(\Q\)	None	✓	✓			2464.2.a.b	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{7}+q^{9}-q^{11}-6q^{17}+\cdots\)
2464.2.a.m	$2464$	$2$	2464.a	1.a	$1$	$2$	$2$	$19.675$	\(\Q(\sqrt{3}) \)	None	✓	✓			2464.2.a.m	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+2\beta q^{5}-q^{7}+(1-2\beta )q^{9}+\cdots\)
2464.2.a.n	$2464$	$2$	2464.a	1.a	$1$	$2$	$2$	$19.675$	\(\Q(\sqrt{17}) \)	None	✓	✓			2464.2.a.n	$1$	$1$	\(0\)	\(-1\)	\(1\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+\beta q^{5}+q^{7}+(1+\beta )q^{9}-q^{11}+\cdots\)
2464.2.a.q	$2464$	$2$	2464.a	1.a	$1$	$3$	$3$	$19.675$	3.3.316.1	None	✓	✓	✓		2464.2.a.q	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1+\beta _{2})q^{5}+q^{7}+\beta _{2}q^{9}+\cdots\)
2464.2.a.s	$2464$	$2$	2464.a	1.a	$1$	$4$	$4$	$19.675$	4.4.8468.1	None	✓	✓	✓		2464.2.a.s	$1$	$1$	\(0\)	\(-1\)	\(-5\)	\(-4\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1-\beta _{3})q^{5}-q^{7}+\beta _{3}q^{9}+\cdots\)
2464.2.a.v	$2464$	$2$	2464.a	1.a	$1$	$4$	$4$	$19.675$	4.4.8468.1	None	✓	✓	✓		2464.2.a.s	$1$	$1$	\(0\)	\(1\)	\(-5\)	\(4\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1-\beta _{3})q^{5}+q^{7}+\beta _{3}q^{9}+\cdots\)
2464.2.a.w	$2464$	$2$	2464.a	1.a	$1$	$4$	$4$	$19.675$	4.4.10273.1	None	✓	✓	✓		2464.2.a.t	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(-4\)		$+$	$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{1}q^{5}-q^{7}+(2-\beta _{2})q^{9}+\cdots\)