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

Results (9 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	3	11
528.4.a.b	$528$	$4$	528.a	1.a	$1$	$1$	$1$	$31.153$	\(\Q\)	None	✓				264.4.a.d	$1$	$1$	\(0\)	\(-3\)	\(-6\)	\(8\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-6q^{5}+8q^{7}+9q^{9}+11q^{11}+\cdots\)
528.4.a.d	$528$	$4$	528.a	1.a	$1$	$1$	$1$	$31.153$	\(\Q\)	None	✓				66.4.a.a	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-14\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-14q^{7}+9q^{9}-11q^{11}+80q^{13}+\cdots\)
528.4.a.f	$528$	$4$	528.a	1.a	$1$	$1$	$1$	$31.153$	\(\Q\)	None	✓				264.4.a.a	$1$	$1$	\(0\)	\(3\)	\(-18\)	\(28\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-18q^{5}+28q^{7}+9q^{9}-11q^{11}+\cdots\)
528.4.a.i	$528$	$4$	528.a	1.a	$1$	$1$	$1$	$31.153$	\(\Q\)	None	✓				132.4.a.b	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-2q^{7}+9q^{9}+11q^{11}-88q^{13}+\cdots\)
528.4.a.k	$528$	$4$	528.a	1.a	$1$	$1$	$1$	$31.153$	\(\Q\)	None	✓				264.4.a.b	$1$	$1$	\(0\)	\(3\)	\(12\)	\(-22\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+12q^{5}-22q^{7}+9q^{9}-11q^{11}+\cdots\)
528.4.a.m	$528$	$4$	528.a	1.a	$1$	$2$	$2$	$31.153$	\(\Q(\sqrt{185}) \)	None	✓		✓		264.4.a.g	$1$	$1$	\(0\)	\(-6\)	\(-6\)	\(-22\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-3-\beta )q^{5}+(-11+\beta )q^{7}+\cdots\)
528.4.a.o	$528$	$4$	528.a	1.a	$1$	$2$	$2$	$31.153$	\(\Q(\sqrt{33}) \)	None	✓		✓		33.4.a.d	$1$	$1$	\(0\)	\(-6\)	\(16\)	\(-2\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(8+2\beta )q^{5}+(-1-\beta )q^{7}+\cdots\)
528.4.a.p	$528$	$4$	528.a	1.a	$1$	$2$	$2$	$31.153$	\(\Q(\sqrt{97}) \)	None	✓		✓		33.4.a.c	$1$	$1$	\(0\)	\(6\)	\(-14\)	\(-24\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-7-\beta )q^{5}+(-12+2\beta )q^{7}+\cdots\)
528.4.a.r	$528$	$4$	528.a	1.a	$1$	$2$	$2$	$31.153$	\(\Q(\sqrt{17}) \)	None	✓		✓		264.4.a.e	$1$	$1$	\(0\)	\(6\)	\(-6\)	\(-10\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-3-\beta )q^{5}+(-5-\beta )q^{7}+\cdots\)