Newform search results

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

Results (25 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	13
5733.2.a.b	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+3q^{8}+q^{13}-q^{16}-2q^{17}+\cdots\)
5733.2.a.e	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+2q^{5}+3q^{8}-2q^{10}+\cdots\)
5733.2.a.f	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-3q^{5}-q^{13}+4q^{16}-6q^{17}+\cdots\)
5733.2.a.g	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-q^{5}+2q^{11}-q^{13}+4q^{16}+\cdots\)
5733.2.a.j	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-3q^{8}+q^{13}-q^{16}+2q^{17}+\cdots\)
5733.2.a.m	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-q^{5}-2q^{10}+2q^{11}+\cdots\)
5733.2.a.p	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-\beta q^{5}-2\beta q^{11}+q^{13}+4q^{16}+\cdots\)
5733.2.a.r	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{5}-2\beta q^{8}+\beta q^{10}+2q^{11}+\cdots\)
5733.2.a.x	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	3.3.316.1	None	✓	$1$	$1$	\(-1\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{1})q^{5}+\cdots\)
5733.2.a.y	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{2}q^{4}+(-1-\beta _{1})q^{5}+(-1+\cdots)q^{8}+\cdots\)
5733.2.a.z	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{2}q^{4}+(1+\beta _{1})q^{5}+(-1+\cdots)q^{8}+\cdots\)
5733.2.a.ba	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
5733.2.a.bb	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(3\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
5733.2.a.bd	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	3.3.404.1	None	✓	$1$	$1$	\(2\)	\(0\)	\(-5\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
5733.2.a.bf	$5733$	$2$	5733.a	1.a	$1$	$4$	$4$	$45.778$	4.4.17428.1	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{2})q^{5}+\cdots\)
5733.2.a.bg	$5733$	$2$	5733.a	1.a	$1$	$4$	$4$	$45.778$	4.4.7168.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
5733.2.a.bi	$5733$	$2$	5733.a	1.a	$1$	$4$	$4$	$45.778$	\(\Q(\sqrt{3}, \sqrt{11})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{3})q^{4}+(-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
5733.2.a.bl	$5733$	$2$	5733.a	1.a	$1$	$5$	$5$	$45.778$	5.5.746052.1	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{3}-\beta _{4})q^{4}+\cdots\)
5733.2.a.bm	$5733$	$2$	5733.a	1.a	$1$	$5$	$5$	$45.778$	5.5.746052.1	None	✓	$1$	$1$	\(-4\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{3}-\beta _{4})q^{4}+\cdots\)
5733.2.a.bo	$5733$	$2$	5733.a	1.a	$1$	$5$	$5$	$45.778$	5.5.2196544.1	None	✓	$1$	$1$	\(-2\)	\(0\)	\(3\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{4})q^{5}+\cdots\)
5733.2.a.br	$5733$	$2$	5733.a	1.a	$1$	$6$	$6$	$45.778$	6.6.4507648.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-6\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(1-\beta _{1}-\beta _{3}+\beta _{4})q^{4}+(-1+\cdots)q^{5}+\cdots\)
5733.2.a.bs	$5733$	$2$	5733.a	1.a	$1$	$6$	$6$	$45.778$	6.6.46162368.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+\beta _{3}q^{8}+\cdots\)
5733.2.a.bt	$5733$	$2$	5733.a	1.a	$1$	$6$	$6$	$45.778$	6.6.46162368.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\beta _{3}q^{8}+\cdots\)
5733.2.a.bw	$5733$	$2$	5733.a	1.a	$1$	$10$	$10$	$45.778$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-6\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{5})q^{5}+\cdots\)
5733.2.a.ca	$5733$	$2$	5733.a	1.a	$1$	$12$	$12$	$45.778$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+(\beta _{1}+\cdots)q^{8}+\cdots\)