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

Results (6 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.b	$2259$	$2$	2259.a	1.a	$1$	$1$	$1$	$18.038$	\(\Q\)	None	✓				753.2.a.b	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-3q^{5}-q^{7}+2q^{13}+4q^{16}+\cdots\)
2259.2.a.e	$2259$	$2$	2259.a	1.a	$1$	$4$	$4$	$18.038$	4.4.19664.1	None	✓				753.2.a.e	$1$	$1$	\(-2\)	\(0\)	\(-4\)	\(6\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
2259.2.a.f	$2259$	$2$	2259.a	1.a	$1$	$4$	$4$	$18.038$	4.4.725.1	None	✓				251.2.a.a	$1$	$1$	\(2\)	\(0\)	\(3\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{3})q^{2}-\beta _{3}q^{4}+(1-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
2259.2.a.g	$2259$	$2$	2259.a	1.a	$1$	$6$	$6$	$18.038$	6.6.4448597.1	None	✓				753.2.a.g	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(5\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{2}+(\beta _{1}-\beta _{4})q^{4}+\beta _{5}q^{5}+(1+\cdots)q^{7}+\cdots\)
2259.2.a.i	$2259$	$2$	2259.a	1.a	$1$	$9$	$9$	$18.038$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓		✓		753.2.a.h	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-14\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1-\beta _{2}+\beta _{3}+\beta _{5})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
2259.2.a.l	$2259$	$2$	2259.a	1.a	$1$	$21$	$21$	$18.038$		None	✓	✓	✓	✓	2259.2.a.l	$1$	$1$	\(-7\)	\(0\)	\(-12\)	\(0\)		$+$	$+$	$+$		$\mathrm{SU}(2)$