Newform search results

Results (37 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
236.1.d.a	$236$	$1$	236.d	59.b	$2$	$3$	$3$	$0.118$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-59}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+\beta _{2}q^{7}+(1+\cdots)q^{9}+\cdots\)
236.2.a.a	$236$	$2$	236.a	1.a	$1$	$1$	$1$	$1.884$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-3q^{7}-2q^{9}-2q^{11}+\cdots\)
236.2.a.b	$236$	$2$	236.a	1.a	$1$	$1$	$1$	$1.884$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}-q^{7}-2q^{9}+6q^{11}+\cdots\)
236.2.a.c	$236$	$2$	236.a	1.a	$1$	$3$	$3$	$1.884$	3.3.321.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2})q^{3}+(-1-\beta _{1})q^{5}+(3+\cdots)q^{7}+\cdots\)
236.2.c.a	$236$	$2$	236.c	236.c	$2$	$28$	$28$	$1.884$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
236.2.e.a	$236$	$2$	236.e	59.c	$29$	$140$	$5$	$1.884$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(2\)	\(-4\)			$\mathrm{SU}(2)[C_{29}]$
236.2.g.a	$236$	$2$	236.g	236.g	$58$	$784$	$28$	$1.884$		$_{}$	None	None		$4$	$0$	\(-29\)	\(0\)	\(-54\)	\(0\)			$\mathrm{SU}(2)[C_{58}]$
236.3.b.a	$236$	$3$	236.b	4.b	$2$	$58$	$58$	$6.431$		$_{}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
236.3.d.a	$236$	$3$	236.d	59.b	$2$	$4$	$4$	$6.431$	4.0.5719888.1	$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(-6\)	\(-8\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{3}+(-2+\beta _{3})q^{5}+(-3+2\beta _{3})q^{7}+\cdots\)
236.3.d.b	$236$	$3$	236.d	59.b	$2$	$6$	$6$	$6.431$	6.6.4042474857.2	$_{}$	\(\Q(\sqrt{-59}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+(\beta _{3}-\beta _{5})q^{3}+(\beta _{3}-\beta _{4}-\beta _{5})q^{5}+\cdots\)
236.3.f.a	$236$	$3$	236.f	59.d	$58$	$280$	$10$	$6.431$		$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(6\)	\(8\)			$\mathrm{SU}(2)[C_{58}]$
236.3.h.a	$236$	$3$	236.h	236.h	$58$	$1624$	$58$	$6.431$		$_{}$	None	None		$4$	$0$	\(-27\)	\(0\)	\(-54\)	\(0\)			$\mathrm{SU}(2)[C_{58}]$
236.4.a.a	$236$	$4$	236.a	1.a	$1$	$1$	$1$	$13.924$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(2\)	\(2\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+2q^{5}-3q^{7}-23q^{9}-59q^{11}+\cdots\)
236.4.a.b	$236$	$4$	236.a	1.a	$1$	$4$	$4$	$13.924$	4.4.1246200.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(10\)	\(35\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+(\beta _{2}+\beta _{3})q^{3}+(2+3\beta _{2}+\beta _{3})q^{5}+\cdots\)
236.4.a.c	$236$	$4$	236.a	1.a	$1$	$5$	$5$	$13.924$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-6\)	\(-38\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-2+\beta _{2}-\beta _{4})q^{5}+(-8+\cdots)q^{7}+\cdots\)
236.4.a.d	$236$	$4$	236.a	1.a	$1$	$5$	$5$	$13.924$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(6\)	\(-14\)	\(-6\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-3+\beta _{3}+\beta _{4})q^{5}+\cdots\)
236.4.c.a	$236$	$4$	236.c	236.c	$2$	$88$	$88$	$13.924$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
236.4.e.a	$236$	$4$	236.e	59.c	$29$	$420$	$15$	$13.924$		$_{}$	None	None		$2$	$0$	\(0\)	\(-6\)	\(8\)	\(12\)			$\mathrm{SU}(2)[C_{29}]$
236.4.g.a	$236$	$4$	236.g	236.g	$58$	$2464$	$88$	$13.924$		$_{}$	None	None		$4$	$0$	\(-29\)	\(0\)	\(-54\)	\(0\)			$\mathrm{SU}(2)[C_{58}]$
236.5.d.a	$236$	$5$	236.d	59.b	$2$	$6$	$6$	$24.395$	6.6.4042474857.2	$_{}$	\(\Q(\sqrt{-59}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{4}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-\beta _{1}-3\beta _{4}+\beta _{5})q^{3}+(-2\beta _{1}+3\beta _{3}+\cdots)q^{5}+\cdots\)
236.5.d.b	$236$	$5$	236.d	59.b	$2$	$14$	$14$	$24.395$	\(\mathbb{Q}[x]/(x^{14} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(6\)	\(80\)		$2^{9}\cdot 3^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+(1+\beta _{1}-\beta _{5})q^{5}+(5-2\beta _{1}+\cdots)q^{7}+\cdots\)
236.6.a.a	$236$	$6$	236.a	1.a	$1$	$10$	$10$	$37.851$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-9\)	\(-25\)	\(-195\)	$+$	$2^{7}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-2-\beta _{2})q^{5}+(-19+\cdots)q^{7}+\cdots\)
236.6.a.b	$236$	$6$	236.a	1.a	$1$	$13$	$13$	$37.851$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(9\)	\(-25\)	\(295\)	$-$	$2^{13}\cdot 3$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-2-\beta _{4})q^{5}+(22+\beta _{1}+\cdots)q^{7}+\cdots\)
236.7.d.a	$236$	$7$	236.d	59.b	$2$	$6$	$6$	$54.293$	6.6.4042474857.1	$_{}$	\(\Q(\sqrt{-59}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{9}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-\beta _{2}+6\beta _{4}+\beta _{5})q^{3}+(8\beta _{2}+29\beta _{3}+\cdots)q^{5}+\cdots\)
236.7.d.b	$236$	$7$	236.d	59.b	$2$	$24$	$24$	$54.293$		$_{}$	None	None		$2$	$0$	\(0\)	\(52\)	\(144\)	\(-408\)			$\mathrm{SU}(2)[C_{2}]$
236.8.a.a	$236$	$8$	236.a	1.a	$1$	$16$	$16$	$73.723$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-27\)	\(71\)	\(-1041\)	$-$	$2^{20}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{3}+(5-\beta _{1}+\beta _{3})q^{5}+\cdots\)
236.8.a.b	$236$	$8$	236.a	1.a	$1$	$19$	$19$	$73.723$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(27\)	\(71\)	\(2389\)	$+$	$2^{29}\cdot 3^{4}\cdot 5^{2}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(3+\beta _{1}-\beta _{4})q^{5}+(127+\cdots)q^{7}+\cdots\)
236.9.d.a	$236$	$9$	236.d	59.b	$2$	$6$	$6$	$96.141$	6.6.4042474857.2	$_{}$	\(\Q(\sqrt{-59}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{5}$	$\mathrm{U}(1)[D_{2}]$	\(q+(2\beta _{2}+\beta _{3}-7\beta _{4}-12\beta _{5})q^{3}+(14\beta _{2}+\cdots)q^{5}+\cdots\)
236.9.d.b	$236$	$9$	236.d	59.b	$2$	$34$	$34$	$96.141$		$_{}$	None	None		$2$	$0$	\(0\)	\(-182\)	\(-294\)	\(160\)			$\mathrm{SU}(2)[C_{2}]$
236.10.a.a	$236$	$10$	236.a	1.a	$1$	$20$	$20$	$121.548$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-162\)	\(-130\)	\(-10555\)	$+$	$2^{37}\cdot 3^{8}$	$\mathrm{SU}(2)$	\(q+(-8-\beta _{1})q^{3}+(-6-\beta _{1}-\beta _{3})q^{5}+\cdots\)
236.10.a.b	$236$	$10$	236.a	1.a	$1$	$23$	$23$	$121.548$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(-130\)	\(13455\)	$-$		$\mathrm{SU}(2)$
236.11.d.a	$236$	$11$	236.d	59.b	$2$	$6$	$6$	$149.944$	6.6.4042474857.2	$_{}$	\(\Q(\sqrt{-59}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+(33\beta _{1}+17\beta _{3}-34\beta _{4}-50\beta _{5})q^{3}+\cdots\)
236.11.d.b	$236$	$11$	236.d	59.b	$2$	$44$	$44$	$149.944$		$_{}$	None	None		$2$	$0$	\(0\)	\(106\)	\(-3306\)	\(18392\)			$\mathrm{SU}(2)[C_{2}]$
236.12.a.a	$236$	$12$	236.a	1.a	$1$	$25$	$25$	$181.329$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-243\)	\(9551\)	\(-117585\)	$-$		$\mathrm{SU}(2)$
236.12.a.b	$236$	$12$	236.a	1.a	$1$	$28$	$28$	$181.329$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(243\)	\(9551\)	\(50485\)	$+$		$\mathrm{SU}(2)$
236.13.d.a	$236$	$13$	236.d	59.b	$2$	$6$	$6$	$215.703$	6.6.4042474857.1	$_{}$	\(\Q(\sqrt{-59}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{12}\cdot 11^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-\beta _{1}-28\beta _{2}+\beta _{5})q^{3}+(596\beta _{1}+\cdots)q^{5}+\cdots\)
236.13.d.b	$236$	$13$	236.d	59.b	$2$	$54$	$54$	$215.703$		$_{}$	None	None		$2$	$0$	\(0\)	\(1240\)	\(10656\)	\(-191760\)			$\mathrm{SU}(2)[C_{2}]$