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	19
5776.2.a.a	$5776$	$2$	5776.a	1.a	$1$	$1$	$1$	$46.122$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(2\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+2q^{5}+3q^{7}+6q^{9}+2q^{11}+\cdots\)
5776.2.a.b	$5776$	$2$	5776.a	1.a	$1$	$1$	$1$	$46.122$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-1\)	\(3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}+3q^{7}+q^{9}+3q^{11}+\cdots\)
5776.2.a.g	$5776$	$2$	5776.a	1.a	$1$	$1$	$1$	$46.122$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+4q^{7}-2q^{9}-3q^{11}+2q^{13}+\cdots\)
5776.2.a.i	$5776$	$2$	5776.a	1.a	$1$	$1$	$1$	$46.122$	\(\Q\)	\(\Q(\sqrt{-19}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(-3\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-q^{5}-3q^{7}-3q^{9}+5q^{11}-7q^{17}+\cdots\)
5776.2.a.j	$5776$	$2$	5776.a	1.a	$1$	$1$	$1$	$46.122$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-4\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{5}-2q^{9}-3q^{11}-2q^{13}+\cdots\)
5776.2.a.k	$5776$	$2$	5776.a	1.a	$1$	$1$	$1$	$46.122$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-2q^{9}+4q^{11}-q^{13}+\cdots\)
5776.2.a.l	$5776$	$2$	5776.a	1.a	$1$	$1$	$1$	$46.122$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{7}-2q^{9}-2q^{11}-q^{13}+\cdots\)
5776.2.a.o	$5776$	$2$	5776.a	1.a	$1$	$1$	$1$	$46.122$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}-2q^{9}+4q^{11}+5q^{13}+\cdots\)
5776.2.a.q	$5776$	$2$	5776.a	1.a	$1$	$1$	$1$	$46.122$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(2\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+2q^{5}+3q^{7}+6q^{9}+2q^{11}+\cdots\)
5776.2.a.u	$5776$	$2$	5776.a	1.a	$1$	$2$	$2$	$46.122$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(5\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2\beta q^{3}+(2+\beta )q^{5}+2q^{7}+(1+4\beta )q^{9}+\cdots\)
5776.2.a.x	$5776$	$2$	5776.a	1.a	$1$	$2$	$2$	$46.122$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-2\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-2\beta q^{5}+(-3+2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots\)
5776.2.a.y	$5776$	$2$	5776.a	1.a	$1$	$2$	$2$	$46.122$	\(\Q(\sqrt{57}) \)	\(\Q(\sqrt{-19}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(3\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+\beta q^{5}+(2-\beta )q^{7}-3q^{9}+(-2-\beta )q^{11}+\cdots\)
5776.2.a.ba	$5776$	$2$	5776.a	1.a	$1$	$2$	$2$	$46.122$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(1+\beta )q^{5}+(-1+\beta )q^{7}+4q^{9}+\cdots\)
5776.2.a.bd	$5776$	$2$	5776.a	1.a	$1$	$2$	$2$	$46.122$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-2\beta q^{5}+(-3+2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots\)
5776.2.a.bf	$5776$	$2$	5776.a	1.a	$1$	$2$	$2$	$46.122$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(5\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{3}+(2+\beta )q^{5}+2q^{7}+(1+4\beta )q^{9}+\cdots\)
5776.2.a.bm	$5776$	$2$	5776.a	1.a	$1$	$3$	$3$	$46.122$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(1+2\beta _{1})q^{7}+\cdots\)
5776.2.a.bn	$5776$	$2$	5776.a	1.a	$1$	$3$	$3$	$46.122$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(-6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+2q^{5}+(-2-2\beta _{2})q^{7}+(-1+\cdots)q^{9}+\cdots\)
5776.2.a.bp	$5776$	$2$	5776.a	1.a	$1$	$3$	$3$	$46.122$	3.3.961.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(-2+\beta _{1}-\beta _{2})q^{7}+\cdots\)
5776.2.a.bq	$5776$	$2$	5776.a	1.a	$1$	$3$	$3$	$46.122$	3.3.316.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}-\beta _{2})q^{3}+\beta _{1}q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+\cdots\)
5776.2.a.br	$5776$	$2$	5776.a	1.a	$1$	$3$	$3$	$46.122$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-3\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(-1+\beta _{1})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
5776.2.a.bs	$5776$	$2$	5776.a	1.a	$1$	$3$	$3$	$46.122$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-3\)	\(6\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+2\beta _{1}-\beta _{2})q^{3}+(-1-\beta _{2})q^{5}+\cdots\)
5776.2.a.bt	$5776$	$2$	5776.a	1.a	$1$	$4$	$4$	$46.122$	\(\Q(\zeta_{20})^+\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2}-\beta _{3})q^{3}+(-1-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
5776.2.a.bu	$5776$	$2$	5776.a	1.a	$1$	$4$	$4$	$46.122$	\(\Q(\zeta_{20})^+\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-4\)	\(8\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-2-2\beta _{2})q^{5}+(1-2\beta _{2}+\cdots)q^{7}+\cdots\)
5776.2.a.bv	$5776$	$2$	5776.a	1.a	$1$	$4$	$4$	$46.122$	\(\Q(\zeta_{20})^+\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-2\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2}+\beta _{3})q^{3}+(-1-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
5776.2.a.bw	$5776$	$2$	5776.a	1.a	$1$	$6$	$6$	$46.122$	6.6.20319417.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-3\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2}-\beta _{3})q^{3}-\beta _{4}q^{5}+(1+\cdots)q^{7}+\cdots\)
5776.2.a.bx	$5776$	$2$	5776.a	1.a	$1$	$6$	$6$	$46.122$	6.6.3022625.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(2\)	\(2\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+(-\beta _{1}-\beta _{5})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots\)
5776.2.a.bz	$5776$	$2$	5776.a	1.a	$1$	$6$	$6$	$46.122$	6.6.3022625.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(2\)	\(2\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(-\beta _{1}-\beta _{5})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots\)
5776.2.a.cb	$5776$	$2$	5776.a	1.a	$1$	$8$	$8$	$46.122$	8.8.\(\cdots\).1	None	✓	$2$	$0$	\(0\)	\(0\)	\(14\)	\(-8\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{3}+\beta _{5})q^{3}+(1+\beta _{1}+\beta _{4})q^{5}+(-2+\cdots)q^{7}+\cdots\)
5776.2.a.ce	$5776$	$2$	5776.a	1.a	$1$	$9$	$9$	$46.122$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(3\)	\(-9\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(\beta _{4}+\beta _{5})q^{5}+(-1-\beta _{6}+\cdots)q^{7}+\cdots\)