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	7
784.4.a.b	$784$	$4$	784.a	1.a	$1$	$1$	$1$	$46.257$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-7\)	\(7\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-7q^{3}+7q^{5}+22q^{9}+5q^{11}-14q^{13}+\cdots\)
784.4.a.d	$784$	$4$	784.a	1.a	$1$	$1$	$1$	$46.257$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(-12\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}-12q^{5}-11q^{9}-12q^{11}+\cdots\)
784.4.a.e	$784$	$4$	784.a	1.a	$1$	$1$	$1$	$46.257$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(2\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}+2q^{5}-11q^{9}+44q^{11}-22q^{13}+\cdots\)
784.4.a.i	$784$	$4$	784.a	1.a	$1$	$1$	$1$	$46.257$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(16\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2^{4}q^{5}-23q^{9}-24q^{11}+\cdots\)
784.4.a.l	$784$	$4$	784.a	1.a	$1$	$1$	$1$	$46.257$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(7\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+7q^{5}-26q^{9}-35q^{11}+66q^{13}+\cdots\)
784.4.a.o	$784$	$4$	784.a	1.a	$1$	$1$	$1$	$46.257$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(4\)	\(12\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}+12q^{5}-11q^{9}-12q^{11}+\cdots\)
784.4.a.p	$784$	$4$	784.a	1.a	$1$	$1$	$1$	$46.257$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(5\)	\(-9\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}-9q^{5}-2q^{9}+57q^{11}-70q^{13}+\cdots\)
784.4.a.q	$784$	$4$	784.a	1.a	$1$	$1$	$1$	$46.257$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(6\)	\(-8\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+6q^{3}-8q^{5}+9q^{9}-56q^{11}+28q^{13}+\cdots\)
784.4.a.t	$784$	$4$	784.a	1.a	$1$	$2$	$2$	$46.257$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-22\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(-11-\beta )q^{5}+(31+\cdots)q^{9}+\cdots\)
784.4.a.u	$784$	$4$	784.a	1.a	$1$	$2$	$2$	$46.257$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-14\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(-7-2\beta )q^{5}+10q^{9}+(-2^{4}+\cdots)q^{11}+\cdots\)
784.4.a.w	$784$	$4$	784.a	1.a	$1$	$2$	$2$	$46.257$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2\beta q^{5}-5^{2}q^{9}+26q^{11}+\cdots\)
784.4.a.x	$784$	$4$	784.a	1.a	$1$	$2$	$2$	$46.257$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{5}+5q^{9}+4q^{11}+\beta q^{13}+\cdots\)
784.4.a.y	$784$	$4$	784.a	1.a	$1$	$2$	$2$	$46.257$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5\beta q^{3}-14\beta q^{5}+23q^{9}+14q^{11}+\cdots\)
784.4.a.bb	$784$	$4$	784.a	1.a	$1$	$3$	$3$	$46.257$	3.3.1929.1	None	✓	$1$	$1$	\(0\)	\(-7\)	\(3\)	\(0\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+\cdots\)
784.4.a.bd	$784$	$4$	784.a	1.a	$1$	$3$	$3$	$46.257$	3.3.1929.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(-13\)	\(0\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-4-\beta _{1})q^{5}+(15+3\beta _{1}+\cdots)q^{9}+\cdots\)
784.4.a.bf	$784$	$4$	784.a	1.a	$1$	$4$	$4$	$46.257$	\(\Q(\sqrt{2}, \sqrt{65})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2\cdot 7$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+\beta _{3}q^{5}+(10-3\beta _{1})q^{9}+(-5^{2}+\cdots)q^{11}+\cdots\)