Newform search results

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

Results (29 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
5184.2.a.a	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}-2q^{7}+5q^{11}+2q^{13}-3q^{17}+\cdots\)
5184.2.a.b	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+2q^{7}-5q^{11}+2q^{13}-3q^{17}+\cdots\)
5184.2.a.c	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-4q^{7}+q^{13}+3q^{17}+4q^{19}+\cdots\)
5184.2.a.e	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-q^{7}-3q^{11}+q^{13}+6q^{17}+\cdots\)
5184.2.a.g	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+2q^{7}+6q^{11}-5q^{13}-3q^{17}+\cdots\)
5184.2.a.j	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}+2q^{11}-q^{13}+3q^{17}+\cdots\)
5184.2.a.k	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-4q^{11}+5q^{13}+5q^{17}-8q^{19}+\cdots\)
5184.2.a.m	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}-2q^{11}-q^{13}+3q^{17}+\cdots\)
5184.2.a.n	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+3q^{7}-5q^{11}+5q^{13}+2q^{17}+\cdots\)
5184.2.a.p	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}+3q^{11}-2q^{13}+3q^{17}-q^{19}+\cdots\)
5184.2.a.r	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+3q^{11}-2q^{13}-3q^{17}+q^{19}+\cdots\)
5184.2.a.s	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{7}-5q^{11}+5q^{13}-2q^{17}+\cdots\)
5184.2.a.t	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}-2q^{11}-q^{13}-3q^{17}+\cdots\)
5184.2.a.v	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+4q^{11}+5q^{13}-5q^{17}-8q^{19}+\cdots\)
5184.2.a.w	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}+2q^{11}-q^{13}-3q^{17}+\cdots\)
5184.2.a.y	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}-4q^{7}+q^{13}-3q^{17}+4q^{19}+\cdots\)
5184.2.a.bb	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+q^{7}-3q^{11}+q^{13}-6q^{17}+\cdots\)
5184.2.a.bc	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+2q^{7}-6q^{11}-5q^{13}+3q^{17}+\cdots\)
5184.2.a.bh	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+(-2+\beta )q^{5}+(-3+2\beta )q^{13}+(4+\cdots)q^{17}+\cdots\)
5184.2.a.bi	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{5}+2\beta q^{7}+2q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.bl	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-\beta q^{7}+\beta q^{11}+3q^{13}-4q^{17}+\cdots\)
5184.2.a.bo	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{5}+(-2+\beta )q^{7}-q^{11}+(-2+\cdots)q^{13}+\cdots\)
5184.2.a.bq	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-2q^{7}-2\beta q^{11}+q^{13}+3\beta q^{17}+\cdots\)
5184.2.a.bt	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(2-\beta )q^{7}-q^{11}+(-2-\beta )q^{13}+\cdots\)
5184.2.a.bu	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-1-\beta )q^{7}+(-1+\beta )q^{11}+\cdots\)
5184.2.a.by	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(1+\beta )q^{7}+(1-\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.bz	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}-2\beta q^{7}-2q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.ca	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+(2+\beta )q^{5}+(-3-2\beta )q^{13}+(-4+\cdots)q^{17}+\cdots\)
5184.2.a.cc	$5184$	$2$	5184.a	1.a	$1$	$4$	$4$	$41.394$	4.4.13068.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{5}+\beta _{3}q^{7}-\beta _{2}q^{11}+\cdots\)