Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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	7
1008.4.a.a	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-22\)	\(7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-22q^{5}+7q^{7}+26q^{11}-54q^{13}+\cdots\)
1008.4.a.b	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-18\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-18q^{5}-7q^{7}-72q^{11}-34q^{13}+\cdots\)
1008.4.a.e	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-8\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{5}+7q^{7}+56q^{11}-28q^{13}+\cdots\)
1008.4.a.f	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-6q^{5}-7q^{7}-12q^{11}-82q^{13}+\cdots\)
1008.4.a.h	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-6q^{5}-7q^{7}+6^{2}q^{11}+62q^{13}+\cdots\)
1008.4.a.i	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+7q^{7}-26q^{11}+2q^{13}+6^{2}q^{17}+\cdots\)
1008.4.a.l	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+7q^{7}+52q^{11}+86q^{13}+\cdots\)
1008.4.a.q	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(10\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+10q^{5}+7q^{7}-52q^{11}-10q^{13}+\cdots\)
1008.4.a.r	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(12\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+12q^{5}-7q^{7}+48q^{11}+56q^{13}+\cdots\)
1008.4.a.u	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(16\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{4}q^{5}+7q^{7}+24q^{11}-68q^{13}+\cdots\)
1008.4.a.v	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(18\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+18q^{5}-7q^{7}-6^{2}q^{11}-34q^{13}+\cdots\)
1008.4.a.w	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(22\)	\(7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+22q^{5}+7q^{7}-26q^{11}-54q^{13}+\cdots\)
1008.4.a.ba	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(-14\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-3-\beta )q^{5}-7q^{7}+(-3+5\beta )q^{11}+\cdots\)
1008.4.a.bb	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{30}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(-14\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{5}-7q^{7}+(18+3\beta )q^{11}+\cdots\)
1008.4.a.bd	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(14\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+7q^{7}+13\beta q^{11}-30q^{13}+\cdots\)
1008.4.a.be	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{19}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(14\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+7q^{7}+5\beta q^{11}+82q^{13}+\cdots\)
1008.4.a.bf	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{30}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(-14\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}-7q^{7}+(-18+3\beta )q^{11}+\cdots\)
1008.4.a.bg	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{337}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(14\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(3+\beta )q^{5}+7q^{7}+(13+\beta )q^{11}+(48+\cdots)q^{13}+\cdots\)