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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	7
1008.4.a.c	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-16\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2^{4}q^{5}+7q^{7}-8q^{11}+28q^{13}+\cdots\)
1008.4.a.d	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-14\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-14q^{5}+7q^{7}+4q^{11}+54q^{13}+\cdots\)
1008.4.a.g	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-6\)	\(-7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-6q^{5}-7q^{7}+30q^{11}+2q^{13}-66q^{17}+\cdots\)
1008.4.a.j	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+7q^{7}-8q^{11}-42q^{13}+2q^{17}+\cdots\)
1008.4.a.k	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-7q^{7}+12q^{11}-66q^{13}+\cdots\)
1008.4.a.m	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(4\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}+7q^{7}+62q^{11}-62q^{13}+\cdots\)
1008.4.a.n	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(6\)	\(-7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+6q^{5}-7q^{7}-30q^{11}+2q^{13}+66q^{17}+\cdots\)
1008.4.a.o	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(8\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+8q^{5}+7q^{7}-40q^{11}-12q^{13}+\cdots\)
1008.4.a.p	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(10\)	\(-7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+10q^{5}-7q^{7}-12q^{11}+30q^{13}+\cdots\)
1008.4.a.s	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(14\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+14q^{5}+7q^{7}-28q^{11}+18q^{13}+\cdots\)
1008.4.a.t	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(16\)	\(-7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{4}q^{5}-7q^{7}-18q^{11}-54q^{13}+\cdots\)
1008.4.a.x	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-22\)	\(-14\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-11-\beta )q^{5}-7q^{7}+(18+6\beta )q^{11}+\cdots\)
1008.4.a.y	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-14\)	\(-14\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-7-\beta )q^{5}-7q^{7}+(9-3\beta )q^{11}+\cdots\)
1008.4.a.z	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-12\)	\(14\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-6+\beta )q^{5}+7q^{7}+(2+\beta )q^{11}+\cdots\)
1008.4.a.bc	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-14\)		$-$	$+$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-7q^{7}-\beta q^{11}+26q^{13}-5\beta q^{17}+\cdots\)
1008.4.a.bh	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(12\)	\(14\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(6+\beta )q^{5}+7q^{7}+(-2+\beta )q^{11}+\cdots\)