Newform search results

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

Results (26 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	19
4275.2.a.a	$4275$	$2$	4275.a	1.a	$1$	$1$	$1$	$34.136$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-3q^{7}+3q^{11}+6q^{13}+\cdots\)
4275.2.a.b	$4275$	$2$	4275.a	1.a	$1$	$1$	$1$	$34.136$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+5q^{7}-q^{11}-2q^{13}+\cdots\)
4275.2.a.e	$4275$	$2$	4275.a	1.a	$1$	$1$	$1$	$34.136$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-2q^{7}+3q^{8}+4q^{11}+\cdots\)
4275.2.a.f	$4275$	$2$	4275.a	1.a	$1$	$1$	$1$	$34.136$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+3q^{8}-5q^{11}-4q^{13}+\cdots\)
4275.2.a.j	$4275$	$2$	4275.a	1.a	$1$	$1$	$1$	$34.136$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-4q^{7}-3q^{8}-4q^{11}+\cdots\)
4275.2.a.m	$4275$	$2$	4275.a	1.a	$1$	$1$	$1$	$34.136$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-3q^{8}-6q^{13}-q^{16}+\cdots\)
4275.2.a.o	$4275$	$2$	4275.a	1.a	$1$	$1$	$1$	$34.136$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{7}-3q^{8}+2q^{11}+\cdots\)
4275.2.a.p	$4275$	$2$	4275.a	1.a	$1$	$1$	$1$	$34.136$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{7}-3q^{8}+4q^{11}+\cdots\)
4275.2.a.q	$4275$	$2$	4275.a	1.a	$1$	$1$	$1$	$34.136$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+4q^{7}-3q^{8}-3q^{11}+\cdots\)
4275.2.a.s	$4275$	$2$	4275.a	1.a	$1$	$2$	$2$	$34.136$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-1+\beta )q^{4}+(-1+2\beta )q^{7}+\cdots\)
4275.2.a.u	$4275$	$2$	4275.a	1.a	$1$	$2$	$2$	$34.136$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+5q^{4}+(1+\beta )q^{7}+3\beta q^{8}+\cdots\)
4275.2.a.w	$4275$	$2$	4275.a	1.a	$1$	$2$	$2$	$34.136$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(-1+\beta )q^{4}+(1+2\beta )q^{7}+\cdots\)
4275.2.a.y	$4275$	$2$	4275.a	1.a	$1$	$2$	$2$	$34.136$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(1+2\beta )q^{4}+\beta q^{7}+(3+\cdots)q^{8}+\cdots\)
4275.2.a.bc	$4275$	$2$	4275.a	1.a	$1$	$3$	$3$	$34.136$	3.3.148.1	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+(2-2\beta _{1}-\beta _{2})q^{7}+\cdots\)
4275.2.a.bg	$4275$	$2$	4275.a	1.a	$1$	$3$	$3$	$34.136$	3.3.837.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{1}-\beta _{2})q^{7}+\cdots\)
4275.2.a.bh	$4275$	$2$	4275.a	1.a	$1$	$3$	$3$	$34.136$	3.3.621.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+\beta _{2}q^{7}+\cdots\)
4275.2.a.bk	$4275$	$2$	4275.a	1.a	$1$	$3$	$3$	$34.136$	3.3.148.1	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-2\beta _{2}q^{7}+(1+\cdots)q^{8}+\cdots\)
4275.2.a.bl	$4275$	$2$	4275.a	1.a	$1$	$3$	$3$	$34.136$	3.3.148.1	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+(2-2\beta _{1}-\beta _{2})q^{7}+\cdots\)
4275.2.a.bm	$4275$	$2$	4275.a	1.a	$1$	$3$	$3$	$34.136$	3.3.169.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{7}+\cdots\)
4275.2.a.bn	$4275$	$2$	4275.a	1.a	$1$	$3$	$3$	$34.136$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}+(1+2\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{7}+\cdots\)
4275.2.a.bp	$4275$	$2$	4275.a	1.a	$1$	$4$	$4$	$34.136$	4.4.13068.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{3})q^{4}+(-1+\beta _{3})q^{7}+\cdots\)
4275.2.a.bt	$4275$	$2$	4275.a	1.a	$1$	$6$	$6$	$34.136$	6.6.16717036.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(\beta _{2}-\beta _{4})q^{7}+\cdots\)
4275.2.a.bu	$4275$	$2$	4275.a	1.a	$1$	$6$	$6$	$34.136$	6.6.15044092.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}+(1+\beta _{5})q^{4}+(1-\beta _{1}+\beta _{5})q^{7}+\cdots\)
4275.2.a.bv	$4275$	$2$	4275.a	1.a	$1$	$7$	$7$	$34.136$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(8\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1+\beta _{4})q^{7}+\cdots\)
4275.2.a.bw	$4275$	$2$	4275.a	1.a	$1$	$7$	$7$	$34.136$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(0\)	\(-8\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{4})q^{7}+\cdots\)
4275.2.a.bx	$4275$	$2$	4275.a	1.a	$1$	$12$	$12$	$34.136$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$2^{11}$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{2}+(1+\beta _{6})q^{4}+\beta _{3}q^{7}+(\beta _{2}+\cdots)q^{8}+\cdots\)