Newform search results

Results (32 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	17	19
4522.2.a.a	$4522$	$2$	4522.a	1.a	$1$	$1$	$1$	$36.108$	\(\Q\)	None	✓	✓			4522.2.a.a	$1$	$1$	\(-1\)	\(-3\)	\(1\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}+q^{4}+q^{5}+3q^{6}-q^{7}+\cdots\)
4522.2.a.b	$4522$	$2$	4522.a	1.a	$1$	$1$	$1$	$36.108$	\(\Q\)	None	✓	✓			4522.2.a.b	$1$	$1$	\(-1\)	\(-1\)	\(3\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}+q^{7}+\cdots\)
4522.2.a.c	$4522$	$2$	4522.a	1.a	$1$	$1$	$1$	$36.108$	\(\Q\)	None	✓	✓			4522.2.a.c	$1$	$0$	\(-1\)	\(0\)	\(-2\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-2q^{5}-q^{7}-q^{8}-3q^{9}+\cdots\)
4522.2.a.d	$4522$	$2$	4522.a	1.a	$1$	$1$	$1$	$36.108$	\(\Q\)	None	✓	✓			4522.2.a.d	$1$	$0$	\(-1\)	\(0\)	\(-2\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}-3q^{9}+\cdots\)
4522.2.a.e	$4522$	$2$	4522.a	1.a	$1$	$1$	$1$	$36.108$	\(\Q\)	None	✓	✓			4522.2.a.e	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2q^{5}+q^{7}+q^{8}-3q^{9}+\cdots\)
4522.2.a.f	$4522$	$2$	4522.a	1.a	$1$	$1$	$1$	$36.108$	\(\Q\)	None	✓	✓			4522.2.a.f	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2q^{5}+q^{7}+q^{8}-3q^{9}+\cdots\)
4522.2.a.g	$4522$	$2$	4522.a	1.a	$1$	$1$	$1$	$36.108$	\(\Q\)	None	✓	✓			4522.2.a.g	$1$	$0$	\(1\)	\(1\)	\(3\)	\(-1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}-q^{7}+\cdots\)
4522.2.a.h	$4522$	$2$	4522.a	1.a	$1$	$1$	$1$	$36.108$	\(\Q\)	None	✓	✓			4522.2.a.h	$1$	$1$	\(1\)	\(2\)	\(-2\)	\(1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}-2q^{5}+2q^{6}+q^{7}+\cdots\)
4522.2.a.i	$4522$	$2$	4522.a	1.a	$1$	$1$	$1$	$36.108$	\(\Q\)	None	✓	✓			4522.2.a.i	$1$	$0$	\(1\)	\(2\)	\(4\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+4q^{5}+2q^{6}+q^{7}+\cdots\)
4522.2.a.j	$4522$	$2$	4522.a	1.a	$1$	$1$	$1$	$36.108$	\(\Q\)	None	✓	✓			4522.2.a.j	$1$	$0$	\(1\)	\(3\)	\(1\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}+q^{4}+q^{5}+3q^{6}+q^{7}+\cdots\)
4522.2.a.k	$4522$	$2$	4522.a	1.a	$1$	$2$	$2$	$36.108$	\(\Q(\sqrt{2}) \)	None	✓	✓			4522.2.a.k	$1$	$0$	\(-2\)	\(0\)	\(4\)	\(-2\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(2-\beta )q^{5}-q^{7}-q^{8}+\cdots\)
4522.2.a.l	$4522$	$2$	4522.a	1.a	$1$	$2$	$2$	$36.108$	\(\Q(\sqrt{2}) \)	None	✓	✓			4522.2.a.l	$1$	$0$	\(-2\)	\(4\)	\(4\)	\(-2\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}+(2+\beta )q^{5}-2q^{6}+\cdots\)
4522.2.a.m	$4522$	$2$	4522.a	1.a	$1$	$2$	$2$	$36.108$	\(\Q(\sqrt{5}) \)	None	✓	✓			4522.2.a.m	$1$	$1$	\(2\)	\(-1\)	\(1\)	\(2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta q^{3}+q^{4}+(1-\beta )q^{5}-\beta q^{6}+\cdots\)
4522.2.a.n	$4522$	$2$	4522.a	1.a	$1$	$3$	$3$	$36.108$	\(\Q(\zeta_{14})^+\)	None	✓	✓	✓		4522.2.a.n	$1$	$0$	\(-3\)	\(3\)	\(0\)	\(-3\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
4522.2.a.o	$4522$	$2$	4522.a	1.a	$1$	$3$	$3$	$36.108$	\(\Q(\zeta_{18})^+\)	None	✓	✓	✓		4522.2.a.o	$1$	$1$	\(3\)	\(-3\)	\(0\)	\(3\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}-\beta _{2}q^{5}+\cdots\)
4522.2.a.p	$4522$	$2$	4522.a	1.a	$1$	$3$	$3$	$36.108$	3.3.169.1	None	✓	✓	✓		4522.2.a.p	$1$	$1$	\(3\)	\(-1\)	\(-4\)	\(3\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-2+\beta _{1}-\beta _{2})q^{5}+\cdots\)
4522.2.a.q	$4522$	$2$	4522.a	1.a	$1$	$3$	$3$	$36.108$	3.3.321.1	None	✓	✓			4522.2.a.q	$1$	$0$	\(3\)	\(-1\)	\(2\)	\(3\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
4522.2.a.r	$4522$	$2$	4522.a	1.a	$1$	$3$	$3$	$36.108$	3.3.257.1	None	✓	✓			4522.2.a.r	$1$	$0$	\(3\)	\(2\)	\(2\)	\(-3\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{1}+\beta _{2})q^{5}+\cdots\)
4522.2.a.s	$4522$	$2$	4522.a	1.a	$1$	$4$	$4$	$36.108$	4.4.32737.1	None	✓	✓			4522.2.a.s	$1$	$1$	\(4\)	\(-3\)	\(-4\)	\(-4\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta _{3})q^{3}+q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots\)
4522.2.a.t	$4522$	$2$	4522.a	1.a	$1$	$5$	$5$	$36.108$	5.5.1302820.1	None	✓	✓	✓		4522.2.a.t	$1$	$1$	\(5\)	\(-3\)	\(-3\)	\(-5\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1-\beta _{3}+\cdots)q^{5}+\cdots\)
4522.2.a.u	$4522$	$2$	4522.a	1.a	$1$	$6$	$6$	$36.108$	6.6.198441533.1	None	✓	✓	✓		4522.2.a.u	$1$	$0$	\(-6\)	\(-4\)	\(-3\)	\(-6\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1-\beta _{5})q^{5}+\cdots\)
4522.2.a.v	$4522$	$2$	4522.a	1.a	$1$	$6$	$6$	$36.108$	6.6.2323789108.1	None	✓	✓	✓		4522.2.a.v	$1$	$0$	\(6\)	\(-2\)	\(0\)	\(6\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{2}q^{3}+q^{4}-\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots\)
4522.2.a.w	$4522$	$2$	4522.a	1.a	$1$	$6$	$6$	$36.108$	6.6.14513972.1	None	✓	✓	✓	✓	4522.2.a.w	$1$	$1$	\(6\)	\(-1\)	\(-6\)	\(-6\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1-\beta _{5})q^{5}+\cdots\)
4522.2.a.x	$4522$	$2$	4522.a	1.a	$1$	$6$	$6$	$36.108$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	✓	✓		4522.2.a.x	$1$	$0$	\(6\)	\(0\)	\(3\)	\(-6\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{3})q^{5}+\beta _{1}q^{6}+\cdots\)
4522.2.a.y	$4522$	$2$	4522.a	1.a	$1$	$7$	$7$	$36.108$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	✓	✓	✓	4522.2.a.y	$1$	$0$	\(-7\)	\(-1\)	\(2\)	\(7\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{4}q^{5}+\beta _{1}q^{6}+\cdots\)
4522.2.a.z	$4522$	$2$	4522.a	1.a	$1$	$8$	$8$	$36.108$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	✓	✓		4522.2.a.z	$1$	$1$	\(-8\)	\(-1\)	\(-8\)	\(8\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{5}q^{3}+q^{4}+(-1-\beta _{1})q^{5}+\cdots\)
4522.2.a.ba	$4522$	$2$	4522.a	1.a	$1$	$8$	$8$	$36.108$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	✓	✓		4522.2.a.ba	$1$	$0$	\(-8\)	\(4\)	\(3\)	\(8\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+\beta _{6}q^{5}+(-1+\cdots)q^{6}+\cdots\)
4522.2.a.bb	$4522$	$2$	4522.a	1.a	$1$	$10$	$10$	$36.108$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓	✓	✓	4522.2.a.bb	$1$	$1$	\(-10\)	\(-4\)	\(-3\)	\(-10\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{5}q^{5}+\beta _{1}q^{6}+\cdots\)
4522.2.a.bc	$4522$	$2$	4522.a	1.a	$1$	$11$	$11$	$36.108$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	✓	✓	✓	4522.2.a.bc	$1$	$1$	\(-11\)	\(-5\)	\(-2\)	\(11\)		$+$	$-$	$+$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{7}q^{5}+\beta _{1}q^{6}+\cdots\)
4522.2.a.bd	$4522$	$2$	4522.a	1.a	$1$	$11$	$11$	$36.108$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	✓	✓		4522.2.a.bd	$1$	$1$	\(-11\)	\(0\)	\(-5\)	\(-11\)		$+$	$+$	$+$	$+$	$+$	$3^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{4}q^{5}+\beta _{1}q^{6}+\cdots\)
4522.2.a.be	$4522$	$2$	4522.a	1.a	$1$	$11$	$11$	$36.108$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	✓	✓		4522.2.a.be	$1$	$0$	\(11\)	\(0\)	\(1\)	\(-11\)		$-$	$+$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)
4522.2.a.bf	$4522$	$2$	4522.a	1.a	$1$	$15$	$15$	$36.108$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	✓	✓	✓	4522.2.a.bf	$1$	$0$	\(15\)	\(1\)	\(4\)	\(15\)		$-$	$-$	$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{12}q^{5}+\beta _{1}q^{6}+\cdots\)