Newform search results

Results (1-50 of 129 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
132.2.a.a	$132$	$2$	132.a	1.a	$1$	$1$	$1$	$1.054$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(2\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+2q^{7}+q^{9}-q^{11}+6q^{13}+\cdots\)
132.2.a.b	$132$	$2$	132.a	1.a	$1$	$1$	$1$	$1.054$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(2\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-2q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
132.2.b.a	$132$	$2$	132.b	33.d	$2$	$4$	$4$	$1.054$	\(\Q(\sqrt{-3}, \sqrt{-11})\)	\(\Q(\sqrt{-11}) \)		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)		$2\cdot 3$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{1}q^{3}+(\beta _{2}+\beta _{3})q^{5}+(1+\beta _{2})q^{9}+\cdots\)
132.2.c.a	$132$	$2$	132.c	12.b	$2$	$2$	$2$	$1.054$	\(\Q(\sqrt{-2}) \)	None		$2$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta q^{2}+(-1-\beta )q^{3}-2q^{4}+2\beta q^{5}+\cdots\)
132.2.c.b	$132$	$2$	132.c	12.b	$2$	$2$	$2$	$1.054$	\(\Q(\sqrt{-2}) \)	None		$2$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta q^{2}+(1+\beta )q^{3}-2q^{4}+2\beta q^{5}+\cdots\)
132.2.c.c	$132$	$2$	132.c	12.b	$2$	$8$	$8$	$1.054$	8.0.386672896.3	None		$2$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{3}q^{2}+\beta _{2}q^{3}+(1-\beta _{4}-\beta _{6})q^{4}+\cdots\)
132.2.c.d	$132$	$2$	132.c	12.b	$2$	$8$	$8$	$1.054$	8.0.386672896.3	None		$2$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{2}+\beta _{6}q^{3}+(1-\beta _{4}-\beta _{6})q^{4}+\cdots\)
132.2.h.a	$132$	$2$	132.h	44.c	$2$	$12$	$12$	$1.054$	12.0.\(\cdots\).2	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+\beta _{3}q^{3}+(\beta _{2}+\beta _{3})q^{4}+(\beta _{6}+\cdots)q^{5}+\cdots\)
132.2.i.a	$132$	$2$	132.i	11.c	$5$	$4$	$1$	$1.054$	\(\Q(\zeta_{10})\)	None		$2$	$0$	\(0\)	\(-1\)	\(3\)	\(7\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q-\zeta_{10}^{3}q^{3}+(1-\zeta_{10}^{3})q^{5}+(2\zeta_{10}+\cdots)q^{7}+\cdots\)
132.2.i.b	$132$	$2$	132.i	11.c	$5$	$4$	$1$	$1.054$	\(\Q(\zeta_{10})\)	None		$2$	$0$	\(0\)	\(1\)	\(-7\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+\zeta_{10}^{3}q^{3}+(-1-2\zeta_{10}+2\zeta_{10}^{2}+\cdots)q^{5}+\cdots\)
132.2.j.a	$132$	$2$	132.j	44.g	$10$	$48$	$12$	$1.054$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
132.2.o.a	$132$	$2$	132.o	132.o	$10$	$8$	$2$	$1.054$	\(\Q(\zeta_{20})\)	None		$4$	$0$	\(-2\)	\(4\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{10}]$	\(q+(-1+\zeta_{20}^{2}-\zeta_{20}^{3}-\zeta_{20}^{4}+\zeta_{20}^{6}+\cdots)q^{2}+\cdots\)
132.2.o.b	$132$	$2$	132.o	132.o	$10$	$8$	$2$	$1.054$	\(\Q(\zeta_{20})\)	None		$4$	$0$	\(2\)	\(-4\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{10}]$	\(q+(1-\zeta_{20}^{2}+\zeta_{20}^{3}+\zeta_{20}^{4}-\zeta_{20}^{6}+\cdots)q^{2}+\cdots\)
132.2.o.c	$132$	$2$	132.o	132.o	$10$	$64$	$16$	$1.054$		None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
132.2.p.a	$132$	$2$	132.p	33.f	$10$	$16$	$4$	$1.054$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{10}]$	\(q-\beta _{12}q^{3}-\beta _{15}q^{5}+(1-\beta _{1}+2\beta _{2}+\cdots)q^{7}+\cdots\)
132.3.d.a	$132$	$3$	132.d	132.d	$2$	$1$	$1$	$3.597$	\(\Q\)	\(\Q(\sqrt{-33}) \)	✓	$2$	$0$	\(-2\)	\(-3\)	\(0\)	\(-8\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}-3q^{3}+4q^{4}+6q^{6}-8q^{7}+\cdots\)
132.3.d.b	$132$	$3$	132.d	132.d	$2$	$1$	$1$	$3.597$	\(\Q\)	\(\Q(\sqrt{-33}) \)	✓	$2$	$0$	\(-2\)	\(3\)	\(0\)	\(8\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+3q^{3}+4q^{4}-6q^{6}+8q^{7}+\cdots\)
132.3.d.c	$132$	$3$	132.d	132.d	$2$	$1$	$1$	$3.597$	\(\Q\)	\(\Q(\sqrt{-33}) \)	✓	$2$	$0$	\(2\)	\(-3\)	\(0\)	\(8\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}-3q^{3}+4q^{4}-6q^{6}+8q^{7}+\cdots\)
132.3.d.d	$132$	$3$	132.d	132.d	$2$	$1$	$1$	$3.597$	\(\Q\)	\(\Q(\sqrt{-33}) \)	✓	$2$	$0$	\(2\)	\(3\)	\(0\)	\(-8\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+3q^{3}+4q^{4}+6q^{6}-8q^{7}+\cdots\)
132.3.d.e	$132$	$3$	132.d	132.d	$2$	$40$	$40$	$3.597$		None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
132.3.e.a	$132$	$3$	132.e	3.b	$2$	$2$	$2$	$3.597$	\(\Q(\sqrt{-11}) \)	None		$2$	$0$	\(0\)	\(5\)	\(0\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(3-\beta )q^{3}+(1-2\beta )q^{5}+2q^{7}+(6+\cdots)q^{9}+\cdots\)
132.3.e.b	$132$	$3$	132.e	3.b	$2$	$4$	$4$	$3.597$	\(\Q(\sqrt{-2}, \sqrt{-11})\)	None		$2$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1-\beta _{2})q^{3}+(\beta _{2}-2\beta _{3})q^{5}-\beta _{1}q^{7}+\cdots\)
132.3.f.a	$132$	$3$	132.f	11.b	$2$	$4$	$4$	$3.597$	4.0.131904.1	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$2\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}+(1-\beta _{1})q^{5}-\beta _{3}q^{7}+3q^{9}+\cdots\)
132.3.g.a	$132$	$3$	132.g	4.b	$2$	$4$	$4$	$3.597$	\(\Q(\sqrt{-3}, \sqrt{-11})\)	None		$2$	$0$	\(-4\)	\(0\)	\(4\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1+\beta _{1})q^{2}+\beta _{1}q^{3}+(-2-2\beta _{1}+\cdots)q^{4}+\cdots\)
132.3.g.b	$132$	$3$	132.g	4.b	$2$	$16$	$16$	$3.597$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$2$	$0$	\(4\)	\(0\)	\(4\)	\(0\)		$2^{21}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{2}-\beta _{7}q^{3}+(-\beta _{7}-\beta _{8})q^{4}+\cdots\)
132.3.k.a	$132$	$3$	132.k	44.h	$10$	$96$	$24$	$3.597$		None		$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
132.3.l.a	$132$	$3$	132.l	11.d	$10$	$16$	$4$	$3.597$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(-30\)		$1$	$\mathrm{SU}(2)[C_{10}]$	\(q-\beta _{11}q^{3}+(-1-\beta _{1}-\beta _{2}+\beta _{4}+\beta _{6}+\cdots)q^{5}+\cdots\)
132.3.m.a	$132$	$3$	132.m	33.h	$10$	$32$	$8$	$3.597$		None		$4$	$0$	\(0\)	\(5\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{10}]$
132.3.n.a	$132$	$3$	132.n	132.n	$10$	$176$	$44$	$3.597$		None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
132.4.a.a	$132$	$4$	132.a	1.a	$1$	$1$	$1$	$7.788$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-12\)	\(14\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-12q^{5}+14q^{7}+9q^{9}+11q^{11}+\cdots\)
132.4.a.b	$132$	$4$	132.a	1.a	$1$	$1$	$1$	$7.788$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+2q^{7}+9q^{9}-11q^{11}-88q^{13}+\cdots\)
132.4.a.c	$132$	$4$	132.a	1.a	$1$	$1$	$1$	$7.788$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(22\)	\(-20\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+22q^{5}-20q^{7}+9q^{9}+11q^{11}+\cdots\)
132.4.a.d	$132$	$4$	132.a	1.a	$1$	$1$	$1$	$7.788$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(10\)	\(8\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+10q^{5}+8q^{7}+9q^{9}-11q^{11}+\cdots\)
132.4.b.a	$132$	$4$	132.b	33.d	$2$	$4$	$4$	$7.788$	\(\Q(\sqrt{-3}, \sqrt{-11})\)	\(\Q(\sqrt{-11}) \)		$4$	$0$	\(0\)	\(8\)	\(0\)	\(0\)		$2^{2}\cdot 3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+(2-\beta _{2}-\beta _{3})q^{3}+(1+2\beta _{1}-2\beta _{2}+\cdots)q^{5}+\cdots\)
132.4.b.b	$132$	$4$	132.b	33.d	$2$	$8$	$8$	$7.788$	\(\mathbb{Q}[x]/(x^{8} + \cdots)\)	None		$4$	$0$	\(0\)	\(-12\)	\(0\)	\(0\)		$2^{9}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-2-\beta _{2})q^{3}+(1+\beta _{1}+\beta _{2}-\beta _{4}+\cdots)q^{5}+\cdots\)
132.4.c.a	$132$	$4$	132.c	12.b	$2$	$30$	$30$	$7.788$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
132.4.c.b	$132$	$4$	132.c	12.b	$2$	$30$	$30$	$7.788$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
132.4.h.a	$132$	$4$	132.h	44.c	$2$	$36$	$36$	$7.788$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
132.4.i.a	$132$	$4$	132.i	11.c	$5$	$4$	$1$	$7.788$	\(\Q(\zeta_{10})\)	None		$2$	$0$	\(0\)	\(3\)	\(27\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+3\zeta_{10}^{3}q^{3}+(5+6\zeta_{10}-6\zeta_{10}^{2}+\cdots)q^{5}+\cdots\)
132.4.i.b	$132$	$4$	132.i	11.c	$5$	$8$	$2$	$7.788$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None		$2$	$0$	\(0\)	\(6\)	\(-27\)	\(13\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(3+3\beta _{2}-3\beta _{3}-3\beta _{4})q^{3}+(\beta _{1}+6\beta _{2}+\cdots)q^{5}+\cdots\)
132.4.i.c	$132$	$4$	132.i	11.c	$5$	$12$	$3$	$7.788$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(0\)	\(-9\)	\(16\)	\(-14\)		$2^{4}$	$\mathrm{SU}(2)[C_{5}]$	\(q+(-3+3\beta _{1}+3\beta _{2}-3\beta _{3})q^{3}+(3\beta _{1}+\cdots)q^{5}+\cdots\)
132.4.j.a	$132$	$4$	132.j	44.g	$10$	$144$	$36$	$7.788$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
132.4.o.a	$132$	$4$	132.o	132.o	$10$	$272$	$68$	$7.788$		None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
132.4.p.a	$132$	$4$	132.p	33.f	$10$	$48$	$12$	$7.788$		None		$4$	$0$	\(0\)	\(4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
132.5.d.a	$132$	$5$	132.d	132.d	$2$	$1$	$1$	$13.645$	\(\Q\)	\(\Q(\sqrt{-33}) \)	✓	$2$	$0$	\(-4\)	\(-9\)	\(0\)	\(-34\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+6^{2}q^{6}-34q^{7}+\cdots\)
132.5.d.b	$132$	$5$	132.d	132.d	$2$	$1$	$1$	$13.645$	\(\Q\)	\(\Q(\sqrt{-33}) \)	✓	$2$	$0$	\(-4\)	\(9\)	\(0\)	\(34\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}-6^{2}q^{6}+34q^{7}+\cdots\)
132.5.d.c	$132$	$5$	132.d	132.d	$2$	$1$	$1$	$13.645$	\(\Q\)	\(\Q(\sqrt{-33}) \)	✓	$2$	$0$	\(4\)	\(-9\)	\(0\)	\(34\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}-6^{2}q^{6}+34q^{7}+\cdots\)
132.5.d.d	$132$	$5$	132.d	132.d	$2$	$1$	$1$	$13.645$	\(\Q\)	\(\Q(\sqrt{-33}) \)	✓	$2$	$0$	\(4\)	\(9\)	\(0\)	\(-34\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}+6^{2}q^{6}-34q^{7}+\cdots\)
132.5.d.e	$132$	$5$	132.d	132.d	$2$	$88$	$88$	$13.645$		None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
132.5.e.a	$132$	$5$	132.e	3.b	$2$	$2$	$2$	$13.645$	\(\Q(\sqrt{-11}) \)	None		$2$	$0$	\(0\)	\(-15\)	\(0\)	\(164\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-6-3\beta )q^{3}+(7-14\beta )q^{5}+82q^{7}+\cdots\)