Newform search results

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

Results (16 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	47
3525.2.a.b	$3525$	$2$	3525.a	1.a	$1$	$1$	$1$	$28.147$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}+2q^{6}-q^{7}+q^{9}+\cdots\)
3525.2.a.d	$3525$	$2$	3525.a	1.a	$1$	$1$	$1$	$28.147$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\cdots\)
3525.2.a.e	$3525$	$2$	3525.a	1.a	$1$	$1$	$1$	$28.147$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(0\)	\(3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{7}+3q^{8}+\cdots\)
3525.2.a.g	$3525$	$2$	3525.a	1.a	$1$	$1$	$1$	$28.147$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-2q^{7}+q^{9}+2q^{11}+\cdots\)
3525.2.a.h	$3525$	$2$	3525.a	1.a	$1$	$1$	$1$	$28.147$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}+3q^{7}+q^{9}-3q^{11}+\cdots\)
3525.2.a.i	$3525$	$2$	3525.a	1.a	$1$	$1$	$1$	$28.147$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-q^{6}-q^{7}-3q^{8}+\cdots\)
3525.2.a.m	$3525$	$2$	3525.a	1.a	$1$	$1$	$1$	$28.147$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(-1\)	\(0\)	\(3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-q^{3}+2q^{4}-2q^{6}+3q^{7}+\cdots\)
3525.2.a.p	$3525$	$2$	3525.a	1.a	$1$	$2$	$2$	$28.147$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+q^{4}+\beta q^{6}+q^{7}-\beta q^{8}+\cdots\)
3525.2.a.t	$3525$	$2$	3525.a	1.a	$1$	$4$	$4$	$28.147$	4.4.4352.1	None	✓	$1$	$1$	\(-4\)	\(4\)	\(0\)	\(-8\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1}+\beta _{3})q^{2}+q^{3}+(2+\beta _{1}+\cdots)q^{4}+\cdots\)
3525.2.a.v	$3525$	$2$	3525.a	1.a	$1$	$5$	$5$	$28.147$	5.5.2379008.1	None	✓	$1$	$1$	\(0\)	\(-5\)	\(0\)	\(-10\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
3525.2.a.x	$3525$	$2$	3525.a	1.a	$1$	$7$	$7$	$28.147$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(-7\)	\(0\)	\(-5\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
3525.2.a.y	$3525$	$2$	3525.a	1.a	$1$	$7$	$7$	$28.147$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(7\)	\(0\)	\(-11\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
3525.2.a.ba	$3525$	$2$	3525.a	1.a	$1$	$7$	$7$	$28.147$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(-7\)	\(0\)	\(-7\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2}+\beta _{3})q^{4}-\beta _{1}q^{6}+\cdots\)
3525.2.a.bd	$3525$	$2$	3525.a	1.a	$1$	$8$	$8$	$28.147$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(8\)	\(0\)	\(-8\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
3525.2.a.bf	$3525$	$2$	3525.a	1.a	$1$	$10$	$10$	$28.147$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(10\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
3525.2.a.bg	$3525$	$2$	3525.a	1.a	$1$	$10$	$10$	$28.147$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(3\)	\(-10\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)