Newform search results

Results (50 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	7	71
6958.2.a.a	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				142.2.a.c	$1$	$1$	\(-1\)	\(-3\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}+q^{4}-2q^{5}+3q^{6}-q^{8}+\cdots\)
6958.2.a.b	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				994.2.e.b	$1$	$0$	\(-1\)	\(-2\)	\(-1\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-q^{5}+2q^{6}-q^{8}+\cdots\)
6958.2.a.c	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				994.2.a.d	$1$	$0$	\(-1\)	\(-2\)	\(2\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+2q^{5}+2q^{6}-q^{8}+\cdots\)
6958.2.a.d	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				994.2.a.b	$1$	$2$	\(-1\)	\(-1\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}-2q^{9}+\cdots\)
6958.2.a.e	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				994.2.a.c	$1$	$1$	\(-1\)	\(-1\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}-2q^{9}+\cdots\)
6958.2.a.f	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				142.2.a.b	$1$	$1$	\(-1\)	\(0\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-2q^{5}-q^{8}-3q^{9}+2q^{10}+\cdots\)
6958.2.a.g	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				142.2.a.a	$1$	$0$	\(-1\)	\(1\)	\(2\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots\)
6958.2.a.h	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				994.2.a.a	$1$	$1$	\(-1\)	\(2\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}-2q^{5}-2q^{6}-q^{8}+\cdots\)
6958.2.a.i	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				994.2.e.b	$1$	$1$	\(-1\)	\(2\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}+q^{5}-2q^{6}-q^{8}+\cdots\)
6958.2.a.j	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				142.2.a.e	$1$	$1$	\(1\)	\(-1\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}-2q^{9}+\cdots\)
6958.2.a.k	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				994.2.e.a	$1$	$0$	\(1\)	\(0\)	\(-3\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{9}-3q^{10}+\cdots\)
6958.2.a.l	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				994.2.a.g	$1$	$1$	\(1\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+2q^{5}+q^{8}-3q^{9}+2q^{10}+\cdots\)
6958.2.a.m	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				994.2.e.a	$1$	$1$	\(1\)	\(0\)	\(3\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+3q^{5}+q^{8}-3q^{9}+3q^{10}+\cdots\)
6958.2.a.n	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				994.2.a.f	$1$	$1$	\(1\)	\(2\)	\(-4\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}-4q^{5}+2q^{6}+q^{8}+\cdots\)
6958.2.a.o	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				994.2.a.e	$1$	$1$	\(1\)	\(2\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots\)
6958.2.a.p	$6958$	$2$	6958.a	1.a	$1$	$1$	$1$	$55.560$	\(\Q\)	None	✓				142.2.a.d	$1$	$0$	\(1\)	\(3\)	\(4\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}+q^{4}+4q^{5}+3q^{6}+q^{8}+\cdots\)
6958.2.a.q	$6958$	$2$	6958.a	1.a	$1$	$2$	$2$	$55.560$	\(\Q(\sqrt{2}) \)	None	✓	✓			6958.2.a.q	$1$	$1$	\(-2\)	\(-4\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+\beta q^{5}+2q^{6}-q^{8}+\cdots\)
6958.2.a.r	$6958$	$2$	6958.a	1.a	$1$	$2$	$2$	$55.560$	\(\Q(\sqrt{3}) \)	None	✓				994.2.a.h	$1$	$1$	\(-2\)	\(-2\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta )q^{3}+q^{4}+(1+\beta )q^{5}+\cdots\)
6958.2.a.s	$6958$	$2$	6958.a	1.a	$1$	$2$	$2$	$55.560$	\(\Q(\sqrt{2}) \)	None	✓	✓			6958.2.a.s	$1$	$0$	\(-2\)	\(0\)	\(-4\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}+(-2-\beta )q^{5}-\beta q^{6}+\cdots\)
6958.2.a.t	$6958$	$2$	6958.a	1.a	$1$	$2$	$2$	$55.560$	\(\Q(\sqrt{2}) \)	None	✓	✓			6958.2.a.s	$1$	$0$	\(-2\)	\(0\)	\(4\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}+(2-\beta )q^{5}-\beta q^{6}+\cdots\)
6958.2.a.u	$6958$	$2$	6958.a	1.a	$1$	$2$	$2$	$55.560$	\(\Q(\sqrt{2}) \)	None	✓	✓			6958.2.a.q	$1$	$1$	\(-2\)	\(4\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}+\beta q^{5}-2q^{6}-q^{8}+\cdots\)
6958.2.a.v	$6958$	$2$	6958.a	1.a	$1$	$2$	$2$	$55.560$	\(\Q(\sqrt{13}) \)	None	✓				994.2.e.c	$1$	$1$	\(2\)	\(-1\)	\(-1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta q^{3}+q^{4}-\beta q^{5}-\beta q^{6}+q^{8}+\cdots\)
6958.2.a.w	$6958$	$2$	6958.a	1.a	$1$	$2$	$2$	$55.560$	\(\Q(\sqrt{2}) \)	None	✓	✓			6958.2.a.w	$2$	$1$	\(2\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+\beta q^{5}+q^{8}-3q^{9}+\beta q^{10}+\cdots\)
6958.2.a.x	$6958$	$2$	6958.a	1.a	$1$	$2$	$2$	$55.560$	\(\Q(\sqrt{2}) \)	None	✓	✓			6958.2.a.x	$2$	$1$	\(2\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}-\beta q^{5}+\beta q^{6}+q^{8}+\cdots\)
6958.2.a.y	$6958$	$2$	6958.a	1.a	$1$	$2$	$2$	$55.560$	\(\Q(\sqrt{13}) \)	None	✓				994.2.e.c	$1$	$0$	\(2\)	\(1\)	\(1\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{8}+\cdots\)
6958.2.a.z	$6958$	$2$	6958.a	1.a	$1$	$3$	$3$	$55.560$	3.3.316.1	None	✓				994.2.a.j	$1$	$1$	\(-3\)	\(1\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{1}-\beta _{2})q^{5}+\cdots\)
6958.2.a.ba	$6958$	$2$	6958.a	1.a	$1$	$3$	$3$	$55.560$	3.3.564.1	None	✓				994.2.a.i	$1$	$0$	\(-3\)	\(2\)	\(-4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots\)
6958.2.a.bb	$6958$	$2$	6958.a	1.a	$1$	$3$	$3$	$55.560$	3.3.316.1	None	✓				994.2.a.m	$1$	$1$	\(3\)	\(-6\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}+q^{4}+(-1+\beta _{1})q^{5}+\cdots\)
6958.2.a.bc	$6958$	$2$	6958.a	1.a	$1$	$3$	$3$	$55.560$	3.3.1944.1	None	✓				994.2.a.l	$1$	$1$	\(3\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+q^{8}+\cdots\)
6958.2.a.bd	$6958$	$2$	6958.a	1.a	$1$	$3$	$3$	$55.560$	3.3.148.1	None	✓				994.2.a.k	$1$	$0$	\(3\)	\(2\)	\(4\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1+\beta _{1})q^{5}+\cdots\)
6958.2.a.be	$6958$	$2$	6958.a	1.a	$1$	$4$	$4$	$55.560$	\(\Q(\sqrt{3}, \sqrt{11})\)	None	✓	✓			6958.2.a.be	$2$	$1$	\(-4\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-q^{8}+\cdots\)
6958.2.a.bf	$6958$	$2$	6958.a	1.a	$1$	$4$	$4$	$55.560$	4.4.23252.1	None	✓				994.2.a.n	$1$	$0$	\(-4\)	\(1\)	\(4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{3}q^{3}+q^{4}+(1-\beta _{2})q^{5}-\beta _{3}q^{6}+\cdots\)
6958.2.a.bg	$6958$	$2$	6958.a	1.a	$1$	$4$	$4$	$55.560$	\(\Q(\zeta_{24})^+\)	None	✓	✓			6958.2.a.bg	$2$	$1$	\(4\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}-2\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)
6958.2.a.bh	$6958$	$2$	6958.a	1.a	$1$	$6$	$6$	$55.560$	6.6.8248384.1	None	✓	✓			6958.2.a.bh	$2$	$1$	\(6\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{3}q^{3}+q^{4}+(\beta _{3}-\beta _{4})q^{5}+\cdots\)
6958.2.a.bi	$6958$	$2$	6958.a	1.a	$1$	$7$	$7$	$55.560$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓				994.2.a.o	$1$	$0$	\(7\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}+\beta _{1}q^{6}+\cdots\)
6958.2.a.bj	$6958$	$2$	6958.a	1.a	$1$	$8$	$8$	$55.560$	8.8.3588489216.1	None	✓	✓			6958.2.a.bj	$2$	$1$	\(8\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{3}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{3}q^{6}+\cdots\)
6958.2.a.bk	$6958$	$2$	6958.a	1.a	$1$	$8$	$8$	$55.560$	8.8.\(\cdots\).1	None	✓	✓			6958.2.a.bk	$2$	$0$	\(8\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{3}q^{3}+q^{4}+(\beta _{3}-\beta _{6})q^{5}+\cdots\)
6958.2.a.bl	$6958$	$2$	6958.a	1.a	$1$	$9$	$9$	$55.560$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓		✓		994.2.e.d	$1$	$1$	\(9\)	\(-7\)	\(-12\)	\(0\)		$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta _{4})q^{3}+q^{4}+(-1+\beta _{5}+\cdots)q^{5}+\cdots\)
6958.2.a.bm	$6958$	$2$	6958.a	1.a	$1$	$9$	$9$	$55.560$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓				994.2.e.d	$1$	$0$	\(9\)	\(7\)	\(12\)	\(0\)		$-$	$+$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta _{4})q^{3}+q^{4}+(1-\beta _{5})q^{5}+\cdots\)
6958.2.a.bn	$6958$	$2$	6958.a	1.a	$1$	$10$	$10$	$55.560$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓			6958.2.a.bn	$2$	$0$	\(-10\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$2^{5}$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots\)
6958.2.a.bo	$6958$	$2$	6958.a	1.a	$1$	$10$	$10$	$55.560$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓			6958.2.a.bo	$2$	$0$	\(10\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$2^{5}$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{4}q^{5}+\beta _{1}q^{6}+\cdots\)
6958.2.a.bp	$6958$	$2$	6958.a	1.a	$1$	$10$	$10$	$55.560$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓	✓		6958.2.a.bp	$2$	$0$	\(10\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{5}+\beta _{1}q^{6}+\cdots\)
6958.2.a.bq	$6958$	$2$	6958.a	1.a	$1$	$11$	$11$	$55.560$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓		✓		994.2.e.e	$1$	$1$	\(-11\)	\(-6\)	\(-7\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1-\beta _{7}+\cdots)q^{5}+\cdots\)
6958.2.a.br	$6958$	$2$	6958.a	1.a	$1$	$11$	$11$	$55.560$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓				994.2.e.e	$1$	$0$	\(-11\)	\(6\)	\(7\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1+\beta _{7})q^{5}+\cdots\)
6958.2.a.bs	$6958$	$2$	6958.a	1.a	$1$	$12$	$12$	$55.560$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓				994.2.e.g	$1$	$1$	\(-12\)	\(-4\)	\(-6\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{4}q^{5}+\beta _{1}q^{6}+\cdots\)
6958.2.a.bt	$6958$	$2$	6958.a	1.a	$1$	$12$	$12$	$55.560$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓		✓		994.2.e.g	$1$	$0$	\(-12\)	\(4\)	\(6\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{4}q^{5}-\beta _{1}q^{6}+\cdots\)
6958.2.a.bu	$6958$	$2$	6958.a	1.a	$1$	$12$	$12$	$55.560$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓		✓		994.2.e.f	$1$	$1$	\(12\)	\(-8\)	\(-10\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1+\beta _{5}+\cdots)q^{5}+\cdots\)
6958.2.a.bv	$6958$	$2$	6958.a	1.a	$1$	$12$	$12$	$55.560$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓		✓		994.2.e.f	$1$	$0$	\(12\)	\(8\)	\(10\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{5})q^{5}+\cdots\)
6958.2.a.bw	$6958$	$2$	6958.a	1.a	$1$	$16$	$16$	$55.560$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	✓	✓		6958.2.a.bw	$2$	$1$	\(-16\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{8}q^{5}-\beta _{1}q^{6}+\cdots\)
6958.2.a.bx	$6958$	$2$	6958.a	1.a	$1$	$16$	$16$	$55.560$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	✓	✓		6958.2.a.bx	$2$	$0$	\(-16\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{11}q^{5}-\beta _{1}q^{6}+\cdots\)