Newform search results

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

Results (27 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	11
4400.2.a.d	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-4q^{7}+q^{9}+q^{11}-5q^{13}+\cdots\)
4400.2.a.e	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-4q^{7}+q^{9}+q^{11}+4q^{13}+\cdots\)
4400.2.a.f	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{9}-q^{11}-2q^{13}+6q^{17}+\cdots\)
4400.2.a.g	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{9}-q^{11}+3q^{13}-4q^{17}+\cdots\)
4400.2.a.h	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{7}+q^{9}+q^{11}+4q^{17}+\cdots\)
4400.2.a.j	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}-2q^{9}+q^{11}-q^{17}-q^{19}+\cdots\)
4400.2.a.k	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{7}-2q^{9}-q^{11}-4q^{13}+\cdots\)
4400.2.a.m	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-3q^{9}-q^{11}+4q^{13}+4q^{17}+\cdots\)
4400.2.a.p	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{9}+q^{11}-2q^{13}-6q^{17}+4q^{19}+\cdots\)
4400.2.a.s	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{7}-2q^{9}-q^{11}+4q^{13}+\cdots\)
4400.2.a.t	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}-2q^{9}+q^{11}-2q^{13}+\cdots\)
4400.2.a.u	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}-2q^{9}+q^{11}+q^{17}-q^{19}+\cdots\)
4400.2.a.v	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{7}-2q^{9}+q^{11}+4q^{13}+\cdots\)
4400.2.a.x	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{7}+q^{9}+q^{11}-4q^{17}+\cdots\)
4400.2.a.ba	$4400$	$2$	4400.a	1.a	$1$	$1$	$1$	$35.134$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{9}-q^{11}+2q^{13}-6q^{17}+\cdots\)
4400.2.a.bf	$4400$	$2$	4400.a	1.a	$1$	$2$	$2$	$35.134$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(-2-\beta )q^{7}+(1+3\beta )q^{9}+\cdots\)
4400.2.a.bi	$4400$	$2$	4400.a	1.a	$1$	$2$	$2$	$35.134$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(-3+\beta )q^{7}+(2+\beta )q^{9}+q^{11}+\cdots\)
4400.2.a.bj	$4400$	$2$	4400.a	1.a	$1$	$2$	$2$	$35.134$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-\beta q^{7}+(1+\beta )q^{9}-q^{11}-2q^{13}+\cdots\)
4400.2.a.bk	$4400$	$2$	4400.a	1.a	$1$	$2$	$2$	$35.134$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(1-\beta )q^{7}+(-2+\beta )q^{9}+q^{11}+\cdots\)
4400.2.a.bl	$4400$	$2$	4400.a	1.a	$1$	$2$	$2$	$35.134$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+\beta q^{7}+(5+\beta )q^{9}+q^{11}-2q^{13}+\cdots\)
4400.2.a.bo	$4400$	$2$	4400.a	1.a	$1$	$2$	$2$	$35.134$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-1-\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
4400.2.a.br	$4400$	$2$	4400.a	1.a	$1$	$2$	$2$	$35.134$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(2-\beta )q^{7}+(1+\beta )q^{9}-q^{11}+\cdots\)
4400.2.a.bs	$4400$	$2$	4400.a	1.a	$1$	$2$	$2$	$35.134$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(3-\beta )q^{7}+\beta q^{9}+q^{11}-5q^{13}+\cdots\)
4400.2.a.bv	$4400$	$2$	4400.a	1.a	$1$	$2$	$2$	$35.134$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(2-3\beta )q^{7}+(-1+3\beta )q^{9}+\cdots\)
4400.2.a.bx	$4400$	$2$	4400.a	1.a	$1$	$3$	$3$	$35.134$	3.3.837.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-1+\beta _{2})q^{7}+(2+\cdots)q^{9}+\cdots\)
4400.2.a.by	$4400$	$2$	4400.a	1.a	$1$	$3$	$3$	$35.134$	3.3.1229.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1-\beta _{2})q^{7}+(2+\beta _{2})q^{9}+\cdots\)
4400.2.a.cd	$4400$	$2$	4400.a	1.a	$1$	$4$	$4$	$35.134$	\(\Q(\sqrt{3}, \sqrt{19})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{7}+(3+\beta _{3})q^{9}+\cdots\)