Newform search results

Results (27 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1342.2.a.a	$1342$	$2$	1342.a	1.a	$1$	$1$	$1$	$10.716$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-2\)	\(4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}+4q^{7}+\cdots\)
1342.2.a.b	$1342$	$2$	1342.a	1.a	$1$	$1$	$1$	$10.716$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(-4\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-2q^{7}+\cdots\)
1342.2.a.c	$1342$	$2$	1342.a	1.a	$1$	$1$	$1$	$10.716$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(0\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
1342.2.a.d	$1342$	$2$	1342.a	1.a	$1$	$1$	$1$	$10.716$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(3\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}+q^{4}+3q^{6}+2q^{7}+q^{8}+\cdots\)
1342.2.a.e	$1342$	$2$	1342.a	1.a	$1$	$2$	$2$	$10.716$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta )q^{3}+q^{4}+\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
1342.2.a.f	$1342$	$2$	1342.a	1.a	$1$	$2$	$2$	$10.716$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(3\)	\(2\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta )q^{3}+q^{4}+2\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
1342.2.a.g	$1342$	$2$	1342.a	1.a	$1$	$3$	$3$	$10.716$	3.3.148.1	None	✓	$1$	$1$	\(3\)	\(-3\)	\(-4\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta _{2})q^{3}+q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots\)
1342.2.a.h	$1342$	$2$	1342.a	1.a	$1$	$4$	$4$	$10.716$	4.4.14656.1	None	✓	$1$	$1$	\(-4\)	\(-2\)	\(-2\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)
1342.2.a.i	$1342$	$2$	1342.a	1.a	$1$	$4$	$4$	$10.716$	4.4.48396.1	None	✓	$1$	$0$	\(-4\)	\(-2\)	\(0\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
1342.2.a.j	$1342$	$2$	1342.a	1.a	$1$	$4$	$4$	$10.716$	4.4.2225.1	None	✓	$1$	$0$	\(4\)	\(-2\)	\(4\)	\(1\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta _{2})q^{3}+q^{4}+(1+\beta _{3})q^{5}+\cdots\)
1342.2.a.k	$1342$	$2$	1342.a	1.a	$1$	$5$	$5$	$10.716$	5.5.3362852.1	None	✓	$1$	$1$	\(-5\)	\(-2\)	\(0\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)
1342.2.a.l	$1342$	$2$	1342.a	1.a	$1$	$6$	$6$	$10.716$	6.6.8248384.1	None	✓	$1$	$1$	\(6\)	\(-3\)	\(-4\)	\(-9\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta _{3})q^{3}+q^{4}+(\beta _{3}-\beta _{5})q^{5}+\cdots\)
1342.2.a.m	$1342$	$2$	1342.a	1.a	$1$	$6$	$6$	$10.716$	6.6.136632976.1	None	✓	$1$	$0$	\(6\)	\(2\)	\(2\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{2}q^{5}+\beta _{1}q^{6}+\cdots\)
1342.2.a.n	$1342$	$2$	1342.a	1.a	$1$	$9$	$9$	$10.716$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-9\)	\(5\)	\(6\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{5})q^{5}+\cdots\)
1342.2.c.a	$1342$	$2$	1342.c	61.b	$2$	$2$	$2$	$10.716$	\(\Q(\sqrt{-1}) \)	None		$2$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{2}+q^{3}-q^{4}-iq^{6}+iq^{8}-2q^{9}+\cdots\)
1342.2.c.b	$1342$	$2$	1342.c	61.b	$2$	$8$	$8$	$10.716$	8.0.1267360000.3	None		$2$	$0$	\(0\)	\(-6\)	\(8\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{5}q^{2}+(-1-\beta _{7})q^{3}-q^{4}+(1+\beta _{6}+\cdots)q^{5}+\cdots\)
1342.2.c.c	$1342$	$2$	1342.c	61.b	$2$	$14$	$14$	$10.716$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None		$2$	$0$	\(0\)	\(6\)	\(-4\)	\(0\)		$2^{8}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{5}q^{2}+\beta _{10}q^{3}-q^{4}-\beta _{3}q^{5}-\beta _{11}q^{6}+\cdots\)
1342.2.c.d	$1342$	$2$	1342.c	61.b	$2$	$26$	$26$	$10.716$		None		$2$	$0$	\(0\)	\(-6\)	\(-8\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
1342.4.a.a	$1342$	$4$	1342.a	1.a	$1$	$1$	$1$	$79.181$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(7\)	\(18\)	\(20\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+7q^{3}+4q^{4}+18q^{5}+14q^{6}+\cdots\)
1342.4.a.b	$1342$	$4$	1342.a	1.a	$1$	$16$	$16$	$79.181$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$1$	\(-32\)	\(-9\)	\(-9\)	\(-8\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-1+\beta _{1})q^{3}+4q^{4}+(-1+\cdots)q^{5}+\cdots\)
1342.4.a.c	$1342$	$4$	1342.a	1.a	$1$	$16$	$16$	$79.181$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$1$	\(32\)	\(-15\)	\(-19\)	\(-48\)	$-$	$3$	$\mathrm{SU}(2)$	\(q+2q^{2}+(-1+\beta _{1})q^{3}+4q^{4}+(-1+\cdots)q^{5}+\cdots\)
1342.4.a.d	$1342$	$4$	1342.a	1.a	$1$	$18$	$18$	$79.181$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(36\)	\(-3\)	\(-10\)	\(21\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+2q^{2}-\beta _{1}q^{3}+4q^{4}+(-1+\beta _{4}+\cdots)q^{5}+\cdots\)
1342.4.a.e	$1342$	$4$	1342.a	1.a	$1$	$19$	$19$	$79.181$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$1$	\(-38\)	\(-5\)	\(-12\)	\(1\)	$-$	$3$	$\mathrm{SU}(2)$	\(q-2q^{2}-\beta _{1}q^{3}+4q^{4}+(-1+\beta _{3}+\cdots)q^{5}+\cdots\)
1342.4.a.f	$1342$	$4$	1342.a	1.a	$1$	$19$	$19$	$79.181$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$0$	\(-38\)	\(-2\)	\(-2\)	\(15\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-\beta _{1}q^{3}+4q^{4}-\beta _{4}q^{5}+2\beta _{1}q^{6}+\cdots\)
1342.4.a.g	$1342$	$4$	1342.a	1.a	$1$	$19$	$19$	$79.181$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$1$	\(38\)	\(-11\)	\(-22\)	\(-57\)	$-$	$2\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+2q^{2}+(-1+\beta _{1})q^{3}+4q^{4}+(-1+\cdots)q^{5}+\cdots\)
1342.4.a.h	$1342$	$4$	1342.a	1.a	$1$	$21$	$21$	$79.181$		None	✓	$1$	$0$	\(-42\)	\(12\)	\(31\)	\(-8\)	$+$		$\mathrm{SU}(2)$
1342.4.a.i	$1342$	$4$	1342.a	1.a	$1$	$21$	$21$	$79.181$		None	✓	$1$	$0$	\(42\)	\(18\)	\(41\)	\(64\)	$+$		$\mathrm{SU}(2)$