Newform search results

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

Results (15 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	223
4014.2.a.b	$4014$	$2$	4014.a	1.a	$1$	$1$	$1$	$32.052$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(0\)	\(-1\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots\)
4014.2.a.c	$4014$	$2$	4014.a	1.a	$1$	$1$	$1$	$32.052$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{8}+2q^{11}+4q^{13}+\cdots\)
4014.2.a.g	$4014$	$2$	4014.a	1.a	$1$	$1$	$1$	$32.052$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(3\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}-2q^{11}+\cdots\)
4014.2.a.h	$4014$	$2$	4014.a	1.a	$1$	$1$	$1$	$32.052$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(3\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}+4q^{13}+\cdots\)
4014.2.a.i	$4014$	$2$	4014.a	1.a	$1$	$1$	$1$	$32.052$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(4\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+4q^{5}-4q^{7}+q^{8}+4q^{10}+\cdots\)
4014.2.a.k	$4014$	$2$	4014.a	1.a	$1$	$2$	$2$	$32.052$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2\beta q^{5}+q^{8}-2\beta q^{10}+\cdots\)
4014.2.a.l	$4014$	$2$	4014.a	1.a	$1$	$2$	$2$	$32.052$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2\beta q^{7}+q^{8}+(5-\beta )q^{11}+\cdots\)
4014.2.a.n	$4014$	$2$	4014.a	1.a	$1$	$3$	$3$	$32.052$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(7\)	\(-9\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(2+\beta _{1})q^{5}+(-3+\beta _{1}+\cdots)q^{7}+\cdots\)
4014.2.a.o	$4014$	$2$	4014.a	1.a	$1$	$3$	$3$	$32.052$	3.3.257.1	None	✓	$1$	$0$	\(3\)	\(0\)	\(1\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+\beta _{1}q^{5}+(\beta _{1}+\beta _{2})q^{7}+\cdots\)
4014.2.a.p	$4014$	$2$	4014.a	1.a	$1$	$3$	$3$	$32.052$	3.3.473.1	None	✓	$1$	$0$	\(3\)	\(0\)	\(1\)	\(9\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+\beta _{2}q^{5}+(3-\beta _{1})q^{7}+q^{8}+\cdots\)
4014.2.a.u	$4014$	$2$	4014.a	1.a	$1$	$6$	$6$	$32.052$	6.6.103354048.1	None	✓	$1$	$0$	\(6\)	\(0\)	\(2\)	\(8\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-\beta _{4}+\beta _{5})q^{5}+(1-\beta _{4}+\cdots)q^{7}+\cdots\)
4014.2.a.v	$4014$	$2$	4014.a	1.a	$1$	$7$	$7$	$32.052$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(-7\)	\(0\)	\(-6\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-1-\beta _{4})q^{5}-\beta _{3}q^{7}+\cdots\)
4014.2.a.w	$4014$	$2$	4014.a	1.a	$1$	$7$	$7$	$32.052$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(-7\)	\(0\)	\(-2\)	\(6\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+\beta _{3}q^{5}+(1-\beta _{2}+\beta _{6})q^{7}+\cdots\)
4014.2.a.x	$4014$	$2$	4014.a	1.a	$1$	$8$	$8$	$32.052$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-8\)	\(0\)	\(6\)	\(-6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(1+\beta _{5}-\beta _{6})q^{5}+(-1+\cdots)q^{7}+\cdots\)
4014.2.a.z	$4014$	$2$	4014.a	1.a	$1$	$8$	$8$	$32.052$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(0\)	\(-4\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-1-\beta _{3})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)