Newform search results

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

Results (37 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	3	13
8112.2.a.b	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+q^{9}+3q^{15}-q^{17}+\cdots\)
8112.2.a.d	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-4q^{7}+q^{9}+6q^{11}+\cdots\)
8112.2.a.f	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{9}+2q^{15}+2q^{17}+\cdots\)
8112.2.a.g	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+2q^{7}+q^{9}+2q^{15}+\cdots\)
8112.2.a.h	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{9}+6q^{11}+2q^{17}-4q^{23}+\cdots\)
8112.2.a.j	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-2q^{7}+q^{9}-2q^{15}+\cdots\)
8112.2.a.l	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+4q^{7}+q^{9}-6q^{11}+\cdots\)
8112.2.a.n	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(3\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}+q^{9}-3q^{15}-q^{17}+\cdots\)
8112.2.a.o	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(4\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+4q^{5}-4q^{7}+q^{9}-2q^{11}+\cdots\)
8112.2.a.s	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
8112.2.a.u	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{7}+q^{9}+2q^{11}-2q^{15}+\cdots\)
8112.2.a.v	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
8112.2.a.w	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-2q^{7}+q^{9}+2q^{11}-q^{15}+\cdots\)
8112.2.a.x	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+2q^{7}+q^{9}-2q^{11}-q^{15}+\cdots\)
8112.2.a.z	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{7}+q^{9}-2q^{11}-2q^{17}+\cdots\)
8112.2.a.ba	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{7}+q^{9}+2q^{11}-2q^{17}+\cdots\)
8112.2.a.bb	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-2q^{7}+q^{9}+2q^{11}+q^{15}+\cdots\)
8112.2.a.bc	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}+q^{15}+\cdots\)
8112.2.a.bd	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(2\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-q^{7}+q^{9}-2q^{11}+2q^{15}+\cdots\)
8112.2.a.bi	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(4\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+4q^{5}-2q^{7}+q^{9}-4q^{11}+\cdots\)
8112.2.a.bj	$8112$	$2$	8112.a	1.a	$1$	$2$	$2$	$64.775$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-4\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-2+\beta )q^{5}+(-1+\beta )q^{7}+\cdots\)
8112.2.a.bl	$8112$	$2$	8112.a	1.a	$1$	$2$	$2$	$64.775$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(-2\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+(-1+\beta )q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
8112.2.a.bn	$8112$	$2$	8112.a	1.a	$1$	$2$	$2$	$64.775$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(2\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+(1+\beta )q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
8112.2.a.bp	$8112$	$2$	8112.a	1.a	$1$	$2$	$2$	$64.775$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(4\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(2+\beta )q^{5}+(1+\beta )q^{7}+q^{9}+\cdots\)
8112.2.a.br	$8112$	$2$	8112.a	1.a	$1$	$2$	$2$	$64.775$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta q^{5}+(-1-\beta )q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
8112.2.a.bw	$8112$	$2$	8112.a	1.a	$1$	$2$	$2$	$64.775$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta q^{5}+(1-\beta )q^{7}+q^{9}+(1-\beta )q^{11}+\cdots\)
8112.2.a.by	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-4\)	\(10\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta _{1})q^{5}+(3+\beta _{1})q^{7}+\cdots\)
8112.2.a.bz	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-3\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta _{1}-\beta _{2})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
8112.2.a.ca	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(-2-\beta _{1}+\cdots)q^{7}+\cdots\)
8112.2.a.cb	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(-\beta _{1}-\beta _{2})q^{7}+\cdots\)
8112.2.a.cg	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-6\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-2+\beta _{1}+\beta _{2})q^{5}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)
8112.2.a.ch	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-2\)	\(-6\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1-\beta _{2})q^{5}+(-1-2\beta _{1}+\cdots)q^{7}+\cdots\)
8112.2.a.ci	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1-\beta _{2})q^{5}+(1-2\beta _{1}+\beta _{2})q^{7}+\cdots\)
8112.2.a.cm	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(1\)	\(-9\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-\beta _{1}-2\beta _{2})q^{5}+(-2-2\beta _{1}+\cdots)q^{7}+\cdots\)
8112.2.a.cr	$8112$	$2$	8112.a	1.a	$1$	$4$	$4$	$64.775$	\(\Q(\sqrt{3}, \sqrt{43})\)	None	✓	$2$	$1$	\(0\)	\(-4\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta _{1}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+q^{9}+\cdots\)
8112.2.a.ct	$8112$	$2$	8112.a	1.a	$1$	$6$	$6$	$64.775$	6.6.27700337.1	None	✓	$1$	$1$	\(0\)	\(-6\)	\(-1\)	\(-5\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(\beta _{1}-\beta _{3})q^{5}+(-1+\beta _{2}+\beta _{4}+\cdots)q^{7}+\cdots\)
8112.2.a.cw	$8112$	$2$	8112.a	1.a	$1$	$6$	$6$	$64.775$	6.6.27700337.1	None	✓	$1$	$1$	\(0\)	\(6\)	\(1\)	\(-7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{5}q^{5}+(-1-\beta _{1})q^{7}+q^{9}+\cdots\)