Newform search results

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

Results (34 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	5	13
5200.2.a.a	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				2600.2.a.a	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-2q^{7}+6q^{9}+2q^{11}-q^{13}+\cdots\)
5200.2.a.b	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				650.2.a.a	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+6q^{9}+3q^{11}+q^{13}-7q^{17}+\cdots\)
5200.2.a.e	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				130.2.a.a	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-4q^{7}+q^{9}+6q^{11}-q^{13}+\cdots\)
5200.2.a.g	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				650.2.a.b	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{7}+q^{9}-3q^{11}-q^{13}+\cdots\)
5200.2.a.i	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				650.2.a.f	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+5q^{7}+q^{9}+3q^{11}-q^{13}+\cdots\)
5200.2.a.n	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				325.2.a.b	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+4q^{7}-2q^{9}+6q^{11}+q^{13}+\cdots\)
5200.2.a.p	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				1300.2.a.c	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{7}-3q^{9}-3q^{11}-q^{13}+q^{17}+\cdots\)
5200.2.a.r	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				130.2.a.b	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{9}-q^{13}-2q^{17}+8q^{19}-4q^{23}+\cdots\)
5200.2.a.s	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				520.2.a.a	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{9}+4q^{11}+q^{13}+6q^{17}-4q^{19}+\cdots\)
5200.2.a.t	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				1300.2.a.c	$1$	$0$	\(0\)	\(0\)	\(0\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{7}-3q^{9}-3q^{11}+q^{13}-q^{17}+\cdots\)
5200.2.a.u	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				520.2.d.a	$1$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{7}-3q^{9}+2q^{11}-q^{13}-4q^{17}+\cdots\)
5200.2.a.v	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				325.2.a.b	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{7}-2q^{9}+6q^{11}-q^{13}+\cdots\)
5200.2.a.x	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				26.2.a.a	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}-2q^{9}-6q^{11}-q^{13}+\cdots\)
5200.2.a.bb	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				104.2.a.a	$1$	$0$	\(0\)	\(1\)	\(0\)	\(5\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+5q^{7}-2q^{9}+2q^{11}+q^{13}+\cdots\)
5200.2.a.bc	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				650.2.a.f	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-5\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-5q^{7}+q^{9}+3q^{11}+q^{13}+\cdots\)
5200.2.a.bg	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				650.2.a.b	$1$	$0$	\(0\)	\(2\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{7}+q^{9}-3q^{11}+q^{13}+\cdots\)
5200.2.a.bj	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				650.2.a.a	$1$	$0$	\(0\)	\(3\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+6q^{9}+3q^{11}-q^{13}+7q^{17}+\cdots\)
5200.2.a.bk	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				2600.2.a.a	$1$	$0$	\(0\)	\(3\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+2q^{7}+6q^{9}+2q^{11}+q^{13}+\cdots\)
5200.2.a.bl	$5200$	$2$	5200.a	1.a	$1$	$2$	$2$	$41.522$	\(\Q(\sqrt{2}) \)	None	✓				520.2.a.c	$1$	$0$	\(0\)	\(-4\)	\(0\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{3}-2q^{7}+(3-4\beta )q^{9}+\cdots\)
5200.2.a.bp	$5200$	$2$	5200.a	1.a	$1$	$2$	$2$	$41.522$	\(\Q(\sqrt{33}) \)	None	✓				1300.2.a.g	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(1-\beta )q^{7}+(5+\beta )q^{9}+(1+\beta )q^{11}+\cdots\)
5200.2.a.bq	$5200$	$2$	5200.a	1.a	$1$	$2$	$2$	$41.522$	\(\Q(\sqrt{10}) \)	None	✓				2600.2.a.r	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{7}-3q^{9}+(-3-\beta )q^{11}+\cdots\)
5200.2.a.bs	$5200$	$2$	5200.a	1.a	$1$	$2$	$2$	$41.522$	\(\Q(\sqrt{10}) \)	None	✓				2600.2.a.r	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta )q^{7}-3q^{9}+(-3+\beta )q^{11}+\cdots\)
5200.2.a.bv	$5200$	$2$	5200.a	1.a	$1$	$2$	$2$	$41.522$	\(\Q(\sqrt{6}) \)	None	✓				520.2.a.f	$1$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2q^{7}+3q^{9}+(2-\beta )q^{11}+\cdots\)
5200.2.a.bx	$5200$	$2$	5200.a	1.a	$1$	$2$	$2$	$41.522$	\(\Q(\sqrt{33}) \)	None	✓				1300.2.a.g	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-1+\beta )q^{7}+(5+\beta )q^{9}+(1+\cdots)q^{11}+\cdots\)
5200.2.a.bz	$5200$	$2$	5200.a	1.a	$1$	$2$	$2$	$41.522$	\(\Q(\sqrt{5}) \)	None	✓				520.2.a.g	$1$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(3+2\beta )q^{9}+(-3+\beta )q^{11}+\cdots\)
5200.2.a.ca	$5200$	$2$	5200.a	1.a	$1$	$2$	$2$	$41.522$	\(\Q(\sqrt{3}) \)	None	✓				65.2.a.c	$1$	$0$	\(0\)	\(2\)	\(0\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+2q^{7}+(1+2\beta )q^{9}+(3+\cdots)q^{11}+\cdots\)
5200.2.a.cc	$5200$	$2$	5200.a	1.a	$1$	$3$	$3$	$41.522$	3.3.148.1	None	✓				520.2.d.b	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(1-\beta _{1}+\beta _{2})q^{7}+\cdots\)
5200.2.a.cd	$5200$	$2$	5200.a	1.a	$1$	$3$	$3$	$41.522$	3.3.148.1	None	✓				260.2.c.a	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-1-\beta _{1}-\beta _{2})q^{7}+(-\beta _{1}+\cdots)q^{9}+\cdots\)
5200.2.a.cf	$5200$	$2$	5200.a	1.a	$1$	$3$	$3$	$41.522$	3.3.940.1	None	✓				130.2.b.a	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1+\beta _{1}+\beta _{2})q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots\)
5200.2.a.ci	$5200$	$2$	5200.a	1.a	$1$	$3$	$3$	$41.522$	3.3.564.1	None	✓		✓		260.2.a.b	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(-1-\beta _{1})q^{7}+(4+\beta _{1}+\cdots)q^{9}+\cdots\)
5200.2.a.cj	$5200$	$2$	5200.a	1.a	$1$	$3$	$3$	$41.522$	3.3.148.1	None	✓				65.2.b.a	$1$	$0$	\(0\)	\(4\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(1-\beta _{1}-\beta _{2})q^{7}+(3\beta _{1}+\cdots)q^{9}+\cdots\)
5200.2.a.ck	$5200$	$2$	5200.a	1.a	$1$	$4$	$4$	$41.522$	4.4.108664.1	None	✓		✓		2600.2.a.z	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-1-\beta _{3})q^{7}+(1-\beta _{2})q^{9}+\cdots\)
5200.2.a.cl	$5200$	$2$	5200.a	1.a	$1$	$4$	$4$	$41.522$	4.4.108664.1	None	✓				2600.2.a.z	$1$	$0$	\(0\)	\(2\)	\(0\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(1-\beta _{3})q^{7}+(1-\beta _{2})q^{9}+\cdots\)
5200.2.a.cn	$5200$	$2$	5200.a	1.a	$1$	$5$	$5$	$41.522$	5.5.10592240.1	None	✓		✓		520.2.d.c	$1$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(\beta _{2}+\beta _{3})q^{7}+(3+\beta _{2}+\beta _{3}+\cdots)q^{9}+\cdots\)