Newform search results

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

Results (11 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	29
1856.4.a.b	$1856$	$4$	1856.a	1.a	$1$	$1$	$1$	$109.508$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-7\)	\(13\)	\(-16\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-7q^{3}+13q^{5}-2^{4}q^{7}+22q^{9}-45q^{11}+\cdots\)
1856.4.a.c	$1856$	$4$	1856.a	1.a	$1$	$1$	$1$	$109.508$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-7\)	\(15\)	\(18\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-7q^{3}+15q^{5}+18q^{7}+22q^{9}+3^{3}q^{11}+\cdots\)
1856.4.a.d	$1856$	$4$	1856.a	1.a	$1$	$1$	$1$	$109.508$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(7\)	\(-5\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+7q^{3}-5q^{5}+2q^{7}+22q^{9}+37q^{11}+\cdots\)
1856.4.a.e	$1856$	$4$	1856.a	1.a	$1$	$1$	$1$	$109.508$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(7\)	\(13\)	\(16\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+7q^{3}+13q^{5}+2^{4}q^{7}+22q^{9}+45q^{11}+\cdots\)
1856.4.a.k	$1856$	$4$	1856.a	1.a	$1$	$2$	$2$	$109.508$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(10\)	\(20\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(5-2\beta )q^{5}+(10-4\beta )q^{7}+\cdots\)
1856.4.a.t	$1856$	$4$	1856.a	1.a	$1$	$3$	$3$	$109.508$	3.3.4481.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(-11\)	\(38\)		$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-4-\beta _{1}-\beta _{2})q^{5}+\cdots\)
1856.4.a.u	$1856$	$4$	1856.a	1.a	$1$	$3$	$3$	$109.508$	3.3.229.1	None	✓	$1$	$0$	\(0\)	\(6\)	\(-4\)	\(-16\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1-3\beta _{2})q^{3}+(-1-3\beta _{1}+4\beta _{2})q^{5}+\cdots\)
1856.4.a.bb	$1856$	$4$	1856.a	1.a	$1$	$5$	$5$	$109.508$	5.5.13458092.1	None	✓	$1$	$0$	\(0\)	\(8\)	\(-10\)	\(-40\)		$-$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(2-\beta _{3})q^{3}+(-2+2\beta _{1}-\beta _{2}-\beta _{3}+\cdots)q^{5}+\cdots\)
1856.4.a.bc	$1856$	$4$	1856.a	1.a	$1$	$6$	$6$	$109.508$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-5\)	\(5\)	\(38\)		$-$	$-$	$+$	$2^{7}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{3})q^{3}+(1+\beta _{3}+\beta _{4})q^{5}+\cdots\)
1856.4.a.bi	$1856$	$4$	1856.a	1.a	$1$	$10$	$10$	$109.508$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$2^{14}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{2}q^{5}-\beta _{6}q^{7}+(5-\beta _{5}+\cdots)q^{9}+\cdots\)
1856.4.a.bk	$1856$	$4$	1856.a	1.a	$1$	$12$	$12$	$109.508$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-10\)	\(0\)		$-$	$-$	$+$	$2^{19}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1+\beta _{2})q^{5}-\beta _{7}q^{7}+(14+\cdots)q^{9}+\cdots\)