Newform search results

Results (17 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3103.1.d.a	$3103$	$1$	3103.d	3103.d	$2$	$1$	$1$	$1.549$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-107}) \), \(\Q(\sqrt{-3103}) \)	\(\Q(\sqrt{29}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-q^{4}+q^{9}-2q^{13}+q^{16}+2q^{23}+\cdots\)
3103.1.d.b	$3103$	$1$	3103.d	3103.d	$2$	$2$	$2$	$1.549$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3103}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots\)
3103.1.d.c	$3103$	$1$	3103.d	3103.d	$2$	$2$	$2$	$1.549$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-107}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}-q^{4}+(-1-\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{9}+\cdots\)
3103.1.d.d	$3103$	$1$	3103.d	3103.d	$2$	$2$	$2$	$1.549$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3103}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$1$		\(q+(1-\beta )q^{2}+(1-\beta )q^{4}+q^{8}+q^{9}+\cdots\)
3103.1.d.e	$3103$	$1$	3103.d	3103.d	$2$	$4$	$4$	$1.549$	\(\Q(\zeta_{8})\)	$S_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$		\(q+\zeta_{8}^{2}q^{3}-q^{4}+(-\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
3103.1.d.f	$3103$	$1$	3103.d	3103.d	$2$	$4$	$4$	$1.549$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-3103}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{8}+\cdots\)
3103.1.h.a	$3103$	$1$	3103.h	3103.h	$14$	$6$	$1$	$1.549$	\(\Q(\zeta_{14})\)	$D_{14}$	\(\Q(\sqrt{-107}) \)	None		$4$	$0$	\(0\)	\(7\)	\(0\)	\(0\)		$1$		\(q+(1-\zeta_{14}^{6})q^{3}-\zeta_{14}^{4}q^{4}+(1-\zeta_{14}^{5}+\cdots)q^{9}+\cdots\)
3103.1.h.b	$3103$	$1$	3103.h	3103.h	$14$	$12$	$2$	$1.549$	\(\Q(\zeta_{21})\)	$D_{42}$	\(\Q(\sqrt{-107}) \)	None		$4$	$0$	\(0\)	\(-7\)	\(0\)	\(0\)		$1$		\(q+(\zeta_{42}^{5}-\zeta_{42}^{7})q^{3}+\zeta_{42}^{15}q^{4}+(\zeta_{42}^{10}+\cdots)q^{9}+\cdots\)
3103.1.i.a	$3103$	$1$	3103.i	3103.i	$14$	$6$	$1$	$1.549$	\(\Q(\zeta_{14})\)	$D_{7}$	\(\Q(\sqrt{-107}) \)	None		$4$	$0$	\(0\)	\(5\)	\(0\)	\(0\)		$1$		\(q+(1-\zeta_{14})q^{3}-\zeta_{14}^{3}q^{4}+(1-\zeta_{14}+\cdots)q^{9}+\cdots\)
3103.1.i.b	$3103$	$1$	3103.i	3103.i	$14$	$12$	$2$	$1.549$	\(\Q(\zeta_{21})\)	$D_{21}$	\(\Q(\sqrt{-107}) \)	None		$4$	$0$	\(0\)	\(-5\)	\(0\)	\(0\)		$7$		\(q+(\zeta_{42}^{14}+\zeta_{42}^{16})q^{3}+\zeta_{42}^{6}q^{4}+\cdots\)
3103.2.a.a	$3103$	$2$	3103.a	1.a	$1$	$1$	$1$	$24.778$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-3\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-3q^{5}+q^{6}+2q^{7}+\cdots\)
3103.2.a.b	$3103$	$2$	3103.a	1.a	$1$	$1$	$1$	$24.778$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(0\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+q^{6}+2q^{7}+3q^{8}+\cdots\)
3103.2.a.c	$3103$	$2$	3103.a	1.a	$1$	$2$	$2$	$24.778$	\(\Q(\sqrt{5}) \)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(2\)	\(-2\)	\(2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+(-1-\beta )q^{5}+q^{6}+\cdots\)
3103.2.a.d	$3103$	$2$	3103.a	1.a	$1$	$54$	$54$	$24.778$		$_{}$	None	None	✓	$1$	$1$	\(-9\)	\(-15\)	\(-9\)	\(-10\)	$+$		$\mathrm{SU}(2)$
3103.2.a.e	$3103$	$2$	3103.a	1.a	$1$	$58$	$58$	$24.778$		$_{}$	None	None	✓	$1$	$1$	\(-11\)	\(-5\)	\(-18\)	\(-14\)	$+$		$\mathrm{SU}(2)$
3103.2.a.f	$3103$	$2$	3103.a	1.a	$1$	$65$	$65$	$24.778$		$_{}$	None	None	✓	$1$	$0$	\(14\)	\(11\)	\(14\)	\(6\)	$-$		$\mathrm{SU}(2)$
3103.2.a.g	$3103$	$2$	3103.a	1.a	$1$	$66$	$66$	$24.778$		$_{}$	None	None	✓	$1$	$0$	\(9\)	\(5\)	\(16\)	\(4\)	$-$		$\mathrm{SU}(2)$