Newform search results

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

Results (16 matches)

 

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	13
1911.4.a.a	$1911$	$4$	1911.a	1.a	$1$	$1$	$1$	$112.753$	\(\Q\)	None	✓	$1$	$0$	\(-5\)	\(-3\)	\(3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{2}-3q^{3}+17q^{4}+3q^{5}+15q^{6}+\cdots\)
1911.4.a.d	$1911$	$4$	1911.a	1.a	$1$	$1$	$1$	$112.753$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-3\)	\(-9\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}-7q^{4}-9q^{5}+3q^{6}+\cdots\)
1911.4.a.f	$1911$	$4$	1911.a	1.a	$1$	$1$	$1$	$112.753$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(12\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-8q^{4}+12q^{5}+9q^{9}-6^{2}q^{11}+\cdots\)
1911.4.a.i	$1911$	$4$	1911.a	1.a	$1$	$3$	$3$	$112.753$	3.3.4001.1	None	✓	$1$	$0$	\(0\)	\(-9\)	\(27\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(-1+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1911.4.a.l	$1911$	$4$	1911.a	1.a	$1$	$4$	$4$	$112.753$	4.4.1038472.1	None	✓	$1$	$0$	\(-3\)	\(-12\)	\(24\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}-3q^{3}+(4-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1911.4.a.n	$1911$	$4$	1911.a	1.a	$1$	$5$	$5$	$112.753$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(15\)	\(-15\)	\(0\)		$-$	$-$	$+$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+3q^{3}+(7-\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
1911.4.a.o	$1911$	$4$	1911.a	1.a	$1$	$6$	$6$	$112.753$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-6\)	\(18\)	\(-3\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+3q^{3}+(6-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1911.4.a.q	$1911$	$4$	1911.a	1.a	$1$	$6$	$6$	$112.753$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(7\)	\(-18\)	\(3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}-3q^{3}+(4+2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1911.4.a.t	$1911$	$4$	1911.a	1.a	$1$	$7$	$7$	$112.753$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(-21\)	\(-21\)	\(0\)		$+$	$-$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}-3q^{3}+(2+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1911.4.a.v	$1911$	$4$	1911.a	1.a	$1$	$11$	$11$	$112.753$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(-33\)	\(17\)	\(0\)		$+$	$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(3+\beta _{2})q^{4}+(2-\beta _{1}+\cdots)q^{5}+\cdots\)
1911.4.a.x	$1911$	$4$	1911.a	1.a	$1$	$11$	$11$	$112.753$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(-33\)	\(18\)	\(0\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(6+\beta _{2})q^{4}+(2+\beta _{5}+\cdots)q^{5}+\cdots\)
1911.4.a.y	$1911$	$4$	1911.a	1.a	$1$	$11$	$11$	$112.753$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(33\)	\(-18\)	\(0\)		$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(6+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
1911.4.a.ba	$1911$	$4$	1911.a	1.a	$1$	$13$	$13$	$112.753$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(39\)	\(39\)	\(0\)		$-$	$-$	$+$	$+$	$2^{2}\cdot 3\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+3q^{3}+(4+\beta _{2})q^{4}+(3+\beta _{2}+\cdots)q^{5}+\cdots\)
1911.4.a.bc	$1911$	$4$	1911.a	1.a	$1$	$13$	$13$	$112.753$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(39\)	\(15\)	\(0\)		$-$	$+$	$-$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(4+\beta _{2})q^{4}+(1-\beta _{8}+\cdots)q^{5}+\cdots\)
1911.4.a.bf	$1911$	$4$	1911.a	1.a	$1$	$22$	$22$	$112.753$		None	✓	$1$	$0$	\(2\)	\(-66\)	\(-36\)	\(0\)		$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
1911.4.a.bg	$1911$	$4$	1911.a	1.a	$1$	$22$	$22$	$112.753$		None	✓	$1$	$0$	\(2\)	\(66\)	\(36\)	\(0\)		$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$