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

Results (7 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	251
2259.2.a.a	$2259$	$2$	2259.a	1.a	$1$	$1$	$1$	$18.038$	\(\Q\)	None	✓				753.2.a.c	$1$	$2$	\(-2\)	\(0\)	\(-3\)	\(-1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-3q^{5}-q^{7}+6q^{10}+\cdots\)
2259.2.a.c	$2259$	$2$	2259.a	1.a	$1$	$1$	$1$	$18.038$	\(\Q\)	None	✓				753.2.a.a	$1$	$2$	\(0\)	\(0\)	\(-1\)	\(-5\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-q^{5}-5q^{7}-6q^{11}-6q^{13}+\cdots\)
2259.2.a.d	$2259$	$2$	2259.a	1.a	$1$	$2$	$2$	$18.038$	\(\Q(\sqrt{2}) \)	None	✓				753.2.a.d	$1$	$0$	\(0\)	\(0\)	\(6\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(3+\beta )q^{5}+(-1+2\beta )q^{7}+\cdots\)
2259.2.a.h	$2259$	$2$	2259.a	1.a	$1$	$6$	$6$	$18.038$	6.6.2812877.1	None	✓				753.2.a.f	$1$	$0$	\(6\)	\(0\)	\(4\)	\(-7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
2259.2.a.j	$2259$	$2$	2259.a	1.a	$1$	$11$	$11$	$18.038$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓				753.2.a.i	$1$	$0$	\(3\)	\(0\)	\(4\)	\(19\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}+(2+\beta _{8}+\cdots)q^{7}+\cdots\)
2259.2.a.k	$2259$	$2$	2259.a	1.a	$1$	$17$	$17$	$18.038$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓		✓		251.2.a.b	$1$	$0$	\(-2\)	\(0\)	\(-3\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{7}q^{5}+(-\beta _{6}+\cdots)q^{7}+\cdots\)
2259.2.a.m	$2259$	$2$	2259.a	1.a	$1$	$21$	$21$	$18.038$		None	✓	✓	✓	✓	2259.2.a.l	$1$	$0$	\(7\)	\(0\)	\(12\)	\(0\)		$+$	$-$	$-$		$\mathrm{SU}(2)$