Newform search results

Results (16 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	23
5175.2.a.ba	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{5}) \)	None	✓				1725.2.a.v	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+3\beta q^{4}+\beta q^{7}+(-1+\cdots)q^{8}+\cdots\)
5175.2.a.bb	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{5}) \)	None	✓				115.2.a.b	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+3\beta q^{4}+(2-2\beta )q^{7}+\cdots\)
5175.2.a.bc	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{2}) \)	None	✓				207.2.a.b	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+(2-\beta )q^{7}+\cdots\)
5175.2.a.bd	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{3}) \)	None	✓				345.2.a.g	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+3q^{7}+\cdots\)
5175.2.a.be	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{5}) \)	None	✓				23.2.a.a	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-1+\beta )q^{4}+(-2+2\beta )q^{7}+\cdots\)
5175.2.a.bf	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{13}) \)	None	✓				1725.2.a.w	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1+\beta )q^{4}+(-1+\beta )q^{7}-3q^{8}+\cdots\)
5175.2.a.bg	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{21}) \)	None	✓				1725.2.a.x	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(3+\beta )q^{4}+(1-\beta )q^{7}+(-5+\cdots)q^{8}+\cdots\)
5175.2.a.bh	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{2}) \)	None	✓				1035.2.a.h	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1-\beta )q^{7}-2\beta q^{8}+(-2+\beta )q^{11}+\cdots\)
5175.2.a.bi	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{2}) \)	None	✓				1035.2.a.h	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+\beta )q^{7}-2\beta q^{8}+(2+\beta )q^{11}+\cdots\)
5175.2.a.bj	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{2}) \)	None	✓				345.2.a.h	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+2\beta )q^{7}-2\beta q^{8}+(4+\beta )q^{11}+\cdots\)
5175.2.a.bk	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{5}) \)	None	✓				69.2.a.b	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+3q^{4}+(-1-\beta )q^{7}-\beta q^{8}+\cdots\)
5175.2.a.bl	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{6}) \)	None	✓				345.2.a.i	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+4q^{4}+q^{7}+2\beta q^{8}+\beta q^{11}+\cdots\)
5175.2.a.bm	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{13}) \)	None	✓				1725.2.a.w	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+\beta )q^{4}+(1-\beta )q^{7}+3q^{8}+\cdots\)
5175.2.a.bn	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{21}) \)	None	✓				1725.2.a.x	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(3+\beta )q^{4}+(-1+\beta )q^{7}+(5+\cdots)q^{8}+\cdots\)
5175.2.a.bo	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{2}) \)	None	✓				207.2.a.b	$1$	$0$	\(2\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(1+2\beta )q^{4}+(2+\beta )q^{7}+\cdots\)
5175.2.a.bp	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{5}) \)	None	✓				1725.2.a.v	$1$	$0$	\(3\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+3\beta q^{4}-\beta q^{7}+(1+4\beta )q^{8}+\cdots\)