Newform search results

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

Results (18 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	7	19
2394.4.a.b	$2394$	$4$	2394.a	1.a	$1$	$1$	$1$	$141.251$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(10\)	\(-7\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+10q^{5}-7q^{7}-8q^{8}+\cdots\)
2394.4.a.e	$2394$	$4$	2394.a	1.a	$1$	$1$	$1$	$141.251$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(12\)	\(7\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+12q^{5}+7q^{7}+8q^{8}+\cdots\)
2394.4.a.h	$2394$	$4$	2394.a	1.a	$1$	$2$	$2$	$141.251$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-4\)	\(0\)	\(20\)	\(14\)		$+$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(10+3\beta )q^{5}+7q^{7}+\cdots\)
2394.4.a.l	$2394$	$4$	2394.a	1.a	$1$	$3$	$3$	$141.251$	3.3.3221.1	None	✓	$1$	$0$	\(-6\)	\(0\)	\(0\)	\(-21\)		$+$	$-$	$+$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}-\beta _{2}q^{5}-7q^{7}-8q^{8}+\cdots\)
2394.4.a.m	$2394$	$4$	2394.a	1.a	$1$	$3$	$3$	$141.251$	3.3.12092.1	None	✓	$1$	$0$	\(-6\)	\(0\)	\(20\)	\(-21\)		$+$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(7-\beta _{1})q^{5}-7q^{7}+\cdots\)
2394.4.a.p	$2394$	$4$	2394.a	1.a	$1$	$3$	$3$	$141.251$	3.3.42440.1	None	✓	$1$	$0$	\(6\)	\(0\)	\(20\)	\(21\)		$-$	$-$	$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(7+\beta _{1})q^{5}+7q^{7}+\cdots\)
2394.4.a.r	$2394$	$4$	2394.a	1.a	$1$	$4$	$4$	$141.251$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(-8\)	\(0\)	\(10\)	\(28\)		$+$	$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(2+\beta _{1})q^{5}+7q^{7}+\cdots\)
2394.4.a.s	$2394$	$4$	2394.a	1.a	$1$	$4$	$4$	$141.251$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(0\)	\(-12\)	\(28\)		$-$	$-$	$-$	$-$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-3+\beta _{1})q^{5}+7q^{7}+\cdots\)
2394.4.a.v	$2394$	$4$	2394.a	1.a	$1$	$4$	$4$	$141.251$	4.4.6939601.2	None	✓	$1$	$0$	\(8\)	\(0\)	\(-7\)	\(-28\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-2-2\beta _{1}+\beta _{2}-\beta _{3})q^{5}+\cdots\)
2394.4.a.w	$2394$	$4$	2394.a	1.a	$1$	$4$	$4$	$141.251$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(0\)	\(-7\)	\(28\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-2+\beta _{1}-\beta _{3})q^{5}+\cdots\)
2394.4.a.x	$2394$	$4$	2394.a	1.a	$1$	$4$	$4$	$141.251$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(0\)	\(0\)	\(-28\)		$-$	$-$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}-\beta _{1}q^{5}-7q^{7}+8q^{8}+\cdots\)
2394.4.a.y	$2394$	$4$	2394.a	1.a	$1$	$4$	$4$	$141.251$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(0\)	\(10\)	\(-28\)		$-$	$-$	$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(2+\beta _{1})q^{5}-7q^{7}+\cdots\)
2394.4.a.z	$2394$	$4$	2394.a	1.a	$1$	$5$	$5$	$141.251$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-10\)	\(0\)	\(-21\)	\(-35\)		$+$	$-$	$+$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-4+\beta _{1}+\beta _{4})q^{5}+\cdots\)
2394.4.a.ba	$2394$	$4$	2394.a	1.a	$1$	$5$	$5$	$141.251$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-10\)	\(0\)	\(-21\)	\(35\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-4+\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{5}+\cdots\)
2394.4.a.bc	$2394$	$4$	2394.a	1.a	$1$	$5$	$5$	$141.251$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-10\)	\(0\)	\(-8\)	\(-35\)		$+$	$+$	$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-2+\beta _{2})q^{5}-7q^{7}+\cdots\)
2394.4.a.be	$2394$	$4$	2394.a	1.a	$1$	$6$	$6$	$141.251$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-12\)	\(0\)	\(12\)	\(42\)		$+$	$+$	$-$	$-$	$+$	$2^{5}\cdot 3$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(2-\beta _{1})q^{5}+7q^{7}+\cdots\)
2394.4.a.bi	$2394$	$4$	2394.a	1.a	$1$	$7$	$7$	$141.251$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(14\)	\(0\)	\(18\)	\(-49\)		$-$	$+$	$+$	$-$	$+$	$2^{7}\cdot 3$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(3-\beta _{1})q^{5}-7q^{7}+\cdots\)
2394.4.a.bj	$2394$	$4$	2394.a	1.a	$1$	$7$	$7$	$141.251$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(14\)	\(0\)	\(28\)	\(49\)		$-$	$+$	$-$	$+$	$+$	$2^{9}$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(4-\beta _{2})q^{5}+7q^{7}+\cdots\)