Newform search results

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

Results (18 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	3
2304.4.a.e	$2304$	$4$	2304.a	1.a	$1$	$1$	$1$	$135.940$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-8\)	\(-12\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{5}-12q^{7}-12q^{11}-20q^{13}+\cdots\)
2304.4.a.f	$2304$	$4$	2304.a	1.a	$1$	$1$	$1$	$135.940$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-8\)	\(12\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{5}+12q^{7}+12q^{11}-20q^{13}+\cdots\)
2304.4.a.g	$2304$	$4$	2304.a	1.a	$1$	$1$	$1$	$135.940$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-4q^{5}-92q^{13}-94q^{17}-109q^{25}+\cdots\)
2304.4.a.h	$2304$	$4$	2304.a	1.a	$1$	$1$	$1$	$135.940$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-18q^{11}-90q^{17}-106q^{19}-5^{3}q^{25}+\cdots\)
2304.4.a.m	$2304$	$4$	2304.a	1.a	$1$	$1$	$1$	$135.940$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(12\)	\(-32\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+12q^{5}-2^{5}q^{7}+8q^{11}+20q^{13}+\cdots\)
2304.4.a.n	$2304$	$4$	2304.a	1.a	$1$	$1$	$1$	$135.940$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(12\)	\(32\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+12q^{5}+2^{5}q^{7}-8q^{11}+20q^{13}+\cdots\)
2304.4.a.v	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-16\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+2\beta q^{5}-8q^{7}-3\beta q^{11}-10\beta q^{13}+\cdots\)
2304.4.a.x	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+7\beta q^{7}-48q^{11}-12\beta q^{13}+\cdots\)
2304.4.a.bf	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-2}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$N(\mathrm{U}(1))$	\(q+5^{2}\beta q^{11}+90q^{17}+45\beta q^{19}-5^{3}q^{25}+\cdots\)
2304.4.a.bg	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+3\beta q^{5}-\beta q^{7}+2^{4}\beta q^{13}+90q^{17}+\cdots\)
2304.4.a.bi	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+2\beta q^{7}+42q^{11}+3\beta q^{13}+\cdots\)
2304.4.a.bl	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{11}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-\beta q^{7}+48q^{11}-4\beta q^{13}+\cdots\)
2304.4.a.bp	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(8\)	\(-16\)		$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(4+\beta )q^{5}+(-8-\beta )q^{7}+(4-4\beta )q^{11}+\cdots\)
2304.4.a.bq	$2304$	$4$	2304.a	1.a	$1$	$2$	$2$	$135.940$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(8\)	\(16\)		$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(4+\beta )q^{5}+(8+\beta )q^{7}+(-4+4\beta )q^{11}+\cdots\)
2304.4.a.bu	$2304$	$4$	2304.a	1.a	$1$	$3$	$3$	$135.940$	3.3.1436.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-10\)	\(14\)		$-$	$-$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+(-3-\beta _{2})q^{5}+(5-\beta _{1})q^{7}+(2\beta _{1}+\cdots)q^{11}+\cdots\)
2304.4.a.bw	$2304$	$4$	2304.a	1.a	$1$	$3$	$3$	$135.940$	3.3.1436.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(10\)	\(14\)		$-$	$-$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+(3+\beta _{2})q^{5}+(5-\beta _{1})q^{7}+(-2\beta _{1}+\cdots)q^{11}+\cdots\)
2304.4.a.by	$2304$	$4$	2304.a	1.a	$1$	$4$	$4$	$135.940$	4.4.9792.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{10}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}+(-\beta _{1}+\beta _{3})q^{7}+(-12-\beta _{2}+\cdots)q^{11}+\cdots\)
2304.4.a.cb	$2304$	$4$	2304.a	1.a	$1$	$4$	$4$	$135.940$	4.4.9792.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{10}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}+(\beta _{1}-\beta _{3})q^{7}+(12+\beta _{2})q^{11}+\cdots\)