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.a	$2394$	$4$	2394.a	1.a	$1$	$1$	$1$	$141.251$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(7\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+7q^{7}-8q^{8}+42q^{11}+\cdots\)
2394.4.a.c	$2394$	$4$	2394.a	1.a	$1$	$1$	$1$	$141.251$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(10\)	\(7\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+10q^{5}+7q^{7}-8q^{8}+\cdots\)
2394.4.a.d	$2394$	$4$	2394.a	1.a	$1$	$1$	$1$	$141.251$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-10\)	\(-7\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}-10q^{5}-7q^{7}+8q^{8}+\cdots\)
2394.4.a.f	$2394$	$4$	2394.a	1.a	$1$	$2$	$2$	$141.251$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(4\)	\(-14\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(1+2\beta )q^{5}-7q^{7}+\cdots\)
2394.4.a.g	$2394$	$4$	2394.a	1.a	$1$	$2$	$2$	$141.251$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(14\)	\(14\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(5+4\beta )q^{5}+7q^{7}+\cdots\)
2394.4.a.i	$2394$	$4$	2394.a	1.a	$1$	$2$	$2$	$141.251$	\(\Q(\sqrt{85}) \)	None	✓	$1$	$1$	\(4\)	\(0\)	\(-12\)	\(-14\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-5-2\beta )q^{5}-7q^{7}+\cdots\)
2394.4.a.j	$2394$	$4$	2394.a	1.a	$1$	$2$	$2$	$141.251$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(4\)	\(0\)	\(-2\)	\(14\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(1-4\beta )q^{5}+7q^{7}+\cdots\)
2394.4.a.k	$2394$	$4$	2394.a	1.a	$1$	$3$	$3$	$141.251$	3.3.57553.1	None	✓	$1$	$1$	\(-6\)	\(0\)	\(-10\)	\(-21\)		$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-3+\beta _{1})q^{5}-7q^{7}+\cdots\)
2394.4.a.n	$2394$	$4$	2394.a	1.a	$1$	$3$	$3$	$141.251$	3.3.93944.1	None	✓	$1$	$1$	\(6\)	\(0\)	\(-10\)	\(21\)		$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-3+\beta _{2})q^{5}+7q^{7}+\cdots\)
2394.4.a.o	$2394$	$4$	2394.a	1.a	$1$	$3$	$3$	$141.251$	3.3.22397.1	None	✓	$1$	$1$	\(6\)	\(0\)	\(0\)	\(-21\)		$-$	$-$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}-\beta _{2}q^{5}-7q^{7}+8q^{8}+\cdots\)
2394.4.a.q	$2394$	$4$	2394.a	1.a	$1$	$4$	$4$	$141.251$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-8\)	\(0\)	\(10\)	\(-28\)		$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(2-\beta _{1})q^{5}-7q^{7}+\cdots\)
2394.4.a.t	$2394$	$4$	2394.a	1.a	$1$	$4$	$4$	$141.251$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(8\)	\(0\)	\(-10\)	\(-28\)		$-$	$-$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-3-\beta _{2})q^{5}-7q^{7}+\cdots\)
2394.4.a.u	$2394$	$4$	2394.a	1.a	$1$	$4$	$4$	$141.251$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(8\)	\(0\)	\(-10\)	\(28\)		$-$	$-$	$-$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-2-\beta _{1})q^{5}+7q^{7}+\cdots\)
2394.4.a.bb	$2394$	$4$	2394.a	1.a	$1$	$5$	$5$	$141.251$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-10\)	\(0\)	\(-20\)	\(35\)		$+$	$-$	$-$	$-$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-4-\beta _{2})q^{5}+7q^{7}+\cdots\)
2394.4.a.bd	$2394$	$4$	2394.a	1.a	$1$	$5$	$5$	$141.251$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(10\)	\(0\)	\(8\)	\(-35\)		$-$	$+$	$+$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(2-\beta _{2})q^{5}-7q^{7}+\cdots\)
2394.4.a.bf	$2394$	$4$	2394.a	1.a	$1$	$6$	$6$	$141.251$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(12\)	\(0\)	\(-12\)	\(42\)		$-$	$+$	$-$	$-$	$-$	$2^{5}\cdot 3$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{4}+(-2+\beta _{1})q^{5}+7q^{7}+\cdots\)
2394.4.a.bg	$2394$	$4$	2394.a	1.a	$1$	$7$	$7$	$141.251$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-14\)	\(0\)	\(-28\)	\(49\)		$+$	$+$	$-$	$+$	$-$	$2^{9}$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-4+\beta _{2})q^{5}+7q^{7}+\cdots\)
2394.4.a.bh	$2394$	$4$	2394.a	1.a	$1$	$7$	$7$	$141.251$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-14\)	\(0\)	\(-18\)	\(-49\)		$+$	$+$	$+$	$-$	$-$	$2^{7}\cdot 3$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-3+\beta _{1})q^{5}-7q^{7}+\cdots\)