Newform search results

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

Results (33 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	5	19
7600.2.a.d	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				760.2.a.a	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{9}+4q^{11}-4q^{13}+2q^{17}+\cdots\)
7600.2.a.e	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				760.2.d.a	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{7}+q^{9}-4q^{11}-8q^{17}+\cdots\)
7600.2.a.g	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				190.2.a.a	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{7}-2q^{9}+3q^{13}+7q^{17}+\cdots\)
7600.2.a.h	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				38.2.a.b	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{7}-2q^{9}-2q^{11}+q^{13}+\cdots\)
7600.2.a.i	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				95.2.b.a	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-3q^{9}+4q^{11}-2q^{13}+4q^{17}+\cdots\)
7600.2.a.l	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				95.2.b.a	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}-3q^{9}+4q^{11}+2q^{13}-4q^{17}+\cdots\)
7600.2.a.o	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				152.2.a.b	$1$	$1$	\(0\)	\(1\)	\(0\)	\(3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{7}-2q^{9}-2q^{11}-q^{13}+\cdots\)
7600.2.a.p	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				76.2.a.a	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-3q^{7}+q^{9}-5q^{11}+4q^{13}+\cdots\)
7600.2.a.q	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				760.2.d.a	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{7}+q^{9}-4q^{11}+8q^{17}+\cdots\)
7600.2.a.r	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				380.2.a.b	$1$	$1$	\(0\)	\(2\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+2q^{7}+q^{9}-6q^{13}-2q^{17}+\cdots\)
7600.2.a.u	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	\(\Q(\sqrt{2}) \)	None	✓				380.2.a.c	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{3}+(-2-2\beta )q^{7}+(3-4\beta )q^{9}+\cdots\)
7600.2.a.x	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	\(\Q(\sqrt{2}) \)	None	✓				760.2.d.c	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(1-\beta )q^{7}-2\beta q^{9}+\cdots\)
7600.2.a.y	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	\(\Q(\sqrt{17}) \)	None	✓				190.2.a.d	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots\)
7600.2.a.z	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	\(\Q(\sqrt{2}) \)	None	✓				760.2.d.d	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-2+2\beta )q^{7}-q^{9}+(-2+\cdots)q^{11}+\cdots\)
7600.2.a.bb	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	\(\Q(\sqrt{2}) \)	None	✓				760.2.d.d	$1$	$1$	\(0\)	\(0\)	\(0\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(2+2\beta )q^{7}-q^{9}+(-2-2\beta )q^{11}+\cdots\)
7600.2.a.bc	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	\(\Q(\sqrt{2}) \)	None	✓				760.2.d.c	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(-1-\beta )q^{7}+2\beta q^{9}+\cdots\)
7600.2.a.bd	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	\(\Q(\sqrt{3}) \)	None	✓				760.2.a.g	$1$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(1+2\beta )q^{9}-2q^{11}+(-1+\cdots)q^{13}+\cdots\)
7600.2.a.bi	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.568.1	None	✓				190.2.b.b	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-1-\beta _{1})q^{7}+(2+\cdots)q^{9}+\cdots\)
7600.2.a.bj	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.257.1	None	✓				1900.2.a.f	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-1+\beta _{1})q^{7}+(1+\cdots)q^{9}+\cdots\)
7600.2.a.bk	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.993.1	None	✓				950.2.a.j	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-1+\beta _{2})q^{7}+(2+\cdots)q^{9}+\cdots\)
7600.2.a.bl	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.321.1	None	✓				1900.2.a.g	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+(-1+2\beta _{1}+\beta _{2})q^{7}+\cdots\)
7600.2.a.bm	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.257.1	None	✓				950.2.a.k	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}+\beta _{2})q^{3}+(-1+\beta _{1}-2\beta _{2})q^{7}+\cdots\)
7600.2.a.bp	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.316.1	None	✓				760.2.a.i	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1+2\beta _{1}-\beta _{2})q^{7}+\beta _{2}q^{9}+\cdots\)
7600.2.a.bq	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.229.1	None	✓				760.2.a.j	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+\beta _{1}q^{7}+(1-\beta _{1})q^{9}+(-2+\cdots)q^{13}+\cdots\)
7600.2.a.bs	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	\(\Q(\zeta_{18})^+\)	None	✓				3800.2.a.s	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(\beta _{1}-2\beta _{2})q^{7}+(-1+\beta _{2})q^{9}+\cdots\)
7600.2.a.bu	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.257.1	None	✓				3800.2.a.u	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-\beta _{2}q^{7}+(\beta _{1}-\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots\)
7600.2.a.bw	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	\(\Q(\zeta_{14})^+\)	None	✓				475.2.a.d	$1$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(1-\beta _{1}+2\beta _{2})q^{7}+(-2\beta _{1}+\cdots)q^{9}+\cdots\)
7600.2.a.bx	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.148.1	None	✓				95.2.a.a	$1$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(\beta _{1}-\beta _{2})q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
7600.2.a.cc	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.169.1	None	✓				475.2.a.e	$1$	$1$	\(0\)	\(2\)	\(0\)	\(4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(1+\beta _{1})q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
7600.2.a.cd	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.568.1	None	✓				190.2.b.b	$1$	$1$	\(0\)	\(2\)	\(0\)	\(4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(1+\beta _{1})q^{7}+(2+\beta _{2})q^{9}+\cdots\)
7600.2.a.ch	$7600$	$2$	7600.a	1.a	$1$	$6$	$6$	$60.686$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓		✓		3800.2.a.ba	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-\beta _{1}-\beta _{4})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
7600.2.a.ci	$7600$	$2$	7600.a	1.a	$1$	$6$	$6$	$60.686$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓		✓		3800.2.a.bb	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{3}q^{7}+(1+\beta _{1}+\beta _{2})q^{9}+\cdots\)
7600.2.a.cj	$7600$	$2$	7600.a	1.a	$1$	$6$	$6$	$60.686$	6.6.56310016.1	None	✓		✓		380.2.c.b	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}-\beta _{4}q^{7}+(2-\beta _{1}+\beta _{5})q^{9}+\cdots\)