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
1176.4.a.a	$1176$	$4$	1176.a	1.a	$1$	$1$	$1$	$69.386$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-14\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-14q^{5}+9q^{9}-28q^{11}+74q^{13}+\cdots\)
1176.4.a.b	$1176$	$4$	1176.a	1.a	$1$	$1$	$1$	$69.386$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-12\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-12q^{5}+9q^{9}-60q^{11}-44q^{13}+\cdots\)
1176.4.a.c	$1176$	$4$	1176.a	1.a	$1$	$1$	$1$	$69.386$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-11\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-11q^{5}+9q^{9}+39q^{11}-2^{5}q^{13}+\cdots\)
1176.4.a.e	$1176$	$4$	1176.a	1.a	$1$	$1$	$1$	$69.386$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+2q^{5}+9q^{9}+52q^{11}-86q^{13}+\cdots\)
1176.4.a.h	$1176$	$4$	1176.a	1.a	$1$	$1$	$1$	$69.386$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(16\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+2^{4}q^{5}+9q^{9}-18q^{11}+54q^{13}+\cdots\)
1176.4.a.l	$1176$	$4$	1176.a	1.a	$1$	$1$	$1$	$69.386$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+2q^{5}+9q^{9}+12q^{11}+66q^{13}+\cdots\)
1176.4.a.n	$1176$	$4$	1176.a	1.a	$1$	$1$	$1$	$69.386$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(11\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+11q^{5}+9q^{9}+39q^{11}+2^{5}q^{13}+\cdots\)
1176.4.a.r	$1176$	$4$	1176.a	1.a	$1$	$2$	$2$	$69.386$	\(\Q(\sqrt{505}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(9\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+(5-\beta )q^{5}+9q^{9}+(5-5\beta )q^{11}+\cdots\)
1176.4.a.s	$1176$	$4$	1176.a	1.a	$1$	$2$	$2$	$69.386$	\(\Q(\sqrt{137}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(18\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(9-\beta )q^{5}+9q^{9}+(29+3\beta )q^{11}+\cdots\)
1176.4.a.u	$1176$	$4$	1176.a	1.a	$1$	$2$	$2$	$69.386$	\(\Q(\sqrt{505}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(-9\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-4-\beta )q^{5}+9q^{9}+5\beta q^{11}+\cdots\)
1176.4.a.v	$1176$	$4$	1176.a	1.a	$1$	$2$	$2$	$69.386$	\(\Q(\sqrt{113}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(6\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(3+\beta )q^{5}+9q^{9}+(1+3\beta )q^{11}+\cdots\)
1176.4.a.w	$1176$	$4$	1176.a	1.a	$1$	$2$	$2$	$69.386$	\(\Q(\sqrt{337}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(6\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(3+\beta )q^{5}+9q^{9}+(13+\beta )q^{11}+\cdots\)
1176.4.a.ba	$1176$	$4$	1176.a	1.a	$1$	$4$	$4$	$69.386$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-12\)	\(-4\)	\(0\)		$-$	$+$	$-$	$+$	$2^{3}\cdot 7$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-1-\beta _{1})q^{5}+9q^{9}+(3+2\beta _{1}+\cdots)q^{11}+\cdots\)
1176.4.a.bb	$1176$	$4$	1176.a	1.a	$1$	$4$	$4$	$69.386$	4.4.145408.2	None	✓	$1$	$0$	\(0\)	\(-12\)	\(8\)	\(0\)		$+$	$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(2+\beta _{2}+3\beta _{3})q^{5}+9q^{9}+\cdots\)
1176.4.a.bd	$1176$	$4$	1176.a	1.a	$1$	$4$	$4$	$69.386$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(12\)	\(4\)	\(0\)		$-$	$-$	$+$	$+$	$2^{3}\cdot 7$	$\mathrm{SU}(2)$	\(q+3q^{3}+(1+\beta _{1})q^{5}+9q^{9}+(3+2\beta _{1}+\cdots)q^{11}+\cdots\)
1176.4.a.be	$1176$	$4$	1176.a	1.a	$1$	$4$	$4$	$69.386$	4.4.391168.1	None	✓	$1$	$0$	\(0\)	\(12\)	\(8\)	\(0\)		$-$	$-$	$+$	$+$	$2^{3}\cdot 7$	$\mathrm{SU}(2)$	\(q+3q^{3}+(2+\beta _{1})q^{5}+9q^{9}+(10-\beta _{1}+\cdots)q^{11}+\cdots\)