Newform search results

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

Results (16 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	131
8384.2.a.a	$8384$	$2$	8384.a	1.a	$1$	$1$	$1$	$66.947$	\(\Q\)	None	✓				4192.2.a.a	$1$	$2$	\(0\)	\(-2\)	\(-2\)	\(-1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{5}-q^{7}+q^{9}-6q^{11}+\cdots\)
8384.2.a.e	$8384$	$2$	8384.a	1.a	$1$	$1$	$1$	$66.947$	\(\Q\)	None	✓				131.2.a.a	$1$	$0$	\(0\)	\(-1\)	\(2\)	\(1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+q^{7}-2q^{9}+3q^{13}+\cdots\)
8384.2.a.h	$8384$	$2$	8384.a	1.a	$1$	$1$	$1$	$66.947$	\(\Q\)	None	✓				4192.2.a.b	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+3q^{7}-3q^{9}+6q^{11}+6q^{13}+\cdots\)
8384.2.a.j	$8384$	$2$	8384.a	1.a	$1$	$1$	$1$	$66.947$	\(\Q\)	None	✓				262.2.a.a	$1$	$0$	\(0\)	\(0\)	\(0\)	\(5\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{7}-3q^{9}+2q^{11}+2q^{13}-6q^{17}+\cdots\)
8384.2.a.u	$8384$	$2$	8384.a	1.a	$1$	$2$	$2$	$66.947$	\(\Q(\sqrt{3}) \)	None	✓				262.2.a.e	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(-4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(-1-\beta )q^{5}+(-2+\cdots)q^{7}+\cdots\)
8384.2.a.w	$8384$	$2$	8384.a	1.a	$1$	$2$	$2$	$66.947$	\(\Q(\sqrt{13}) \)	None	✓				262.2.a.c	$1$	$0$	\(0\)	\(-1\)	\(5\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(3-\beta )q^{5}+(-1-\beta )q^{7}+\beta q^{9}+\cdots\)
8384.2.a.bd	$8384$	$2$	8384.a	1.a	$1$	$2$	$2$	$66.947$	\(\Q(\sqrt{5}) \)	None	✓				262.2.a.f	$1$	$0$	\(0\)	\(3\)	\(1\)	\(1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+\beta q^{5}+\beta q^{7}+(-1+3\beta )q^{9}+\cdots\)
8384.2.a.bf	$8384$	$2$	8384.a	1.a	$1$	$2$	$2$	$66.947$	\(\Q(\sqrt{5}) \)	None	✓				4192.2.a.e	$1$	$0$	\(0\)	\(3\)	\(5\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(2+\beta )q^{5}+(-2+\beta )q^{7}+\cdots\)
8384.2.a.bh	$8384$	$2$	8384.a	1.a	$1$	$3$	$3$	$66.947$	3.3.148.1	None	✓				4192.2.a.i	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}-\beta _{2})q^{3}+(-1+\beta _{1}+\beta _{2})q^{5}+\cdots\)
8384.2.a.bk	$8384$	$2$	8384.a	1.a	$1$	$4$	$4$	$66.947$	4.4.123336.1	None	✓				524.2.a.c	$1$	$0$	\(0\)	\(1\)	\(3\)	\(1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1-\beta _{1})q^{5}+\beta _{3}q^{7}+(3+\beta _{3})q^{9}+\cdots\)
8384.2.a.bl	$8384$	$2$	8384.a	1.a	$1$	$4$	$4$	$66.947$	4.4.3981.1	None	✓				524.2.a.d	$1$	$0$	\(0\)	\(3\)	\(-2\)	\(-7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{3})q^{3}+(-\beta _{1}-\beta _{2}+\beta _{3})q^{5}+\cdots\)
8384.2.a.bo	$8384$	$2$	8384.a	1.a	$1$	$5$	$5$	$66.947$	5.5.703228.1	None	✓				1048.2.a.d	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+(-\beta _{2}-\beta _{4})q^{5}+(1-\beta _{2}+\cdots)q^{7}+\cdots\)
8384.2.a.bq	$8384$	$2$	8384.a	1.a	$1$	$8$	$8$	$66.947$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓				1048.2.a.f	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(-6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{3}+(-1+\beta _{4})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
8384.2.a.bs	$8384$	$2$	8384.a	1.a	$1$	$10$	$10$	$66.947$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓				4192.2.a.k	$1$	$0$	\(0\)	\(-3\)	\(-2\)	\(11\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{9}q^{5}+(1+\beta _{1}+\beta _{3}+\beta _{5}+\cdots)q^{7}+\cdots\)
8384.2.a.bw	$8384$	$2$	8384.a	1.a	$1$	$11$	$11$	$66.947$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓				1048.2.a.g	$1$	$0$	\(0\)	\(-5\)	\(6\)	\(10\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(1-\beta _{9})q^{5}+(1-\beta _{1}+\beta _{4}+\cdots)q^{7}+\cdots\)
8384.2.a.cb	$8384$	$2$	8384.a	1.a	$1$	$15$	$15$	$66.947$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓		✓		4192.2.a.m	$1$	$0$	\(0\)	\(7\)	\(3\)	\(-7\)		$-$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{10}q^{5}+(-1-\beta _{7}+\beta _{10}+\cdots)q^{7}+\cdots\)