Newform search results

Results (16 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
371.1.c.a	$371$	$1$	371.c	371.c	$2$	$1$	$1$	$0.185$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-371}) \)	\(\Q(\sqrt{53}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{4}+q^{7}-q^{9}-2q^{11}+q^{16}-q^{25}+\cdots\)
371.1.i.a	$371$	$1$	371.i	371.i	$6$	$2$	$1$	$0.185$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{53}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{7}+\zeta_{6}q^{9}+\zeta_{6}^{2}q^{11}+\cdots\)
583.1.d.a	$583$	$1$	583.d	583.d	$2$	$1$	$1$	$0.291$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-583}) \)	\(\Q(\sqrt{53}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}+q^{9}+q^{11}+q^{16}+q^{25}-q^{36}+\cdots\)
689.1.g.a	$689$	$1$	689.g	689.g	$4$	$2$	$1$	$0.344$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{53}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-iq^{4}+(-1-i)q^{7}+q^{9}+(1+i+\cdots)q^{11}+\cdots\)
848.1.f.a	$848$	$1$	848.f	212.d	$2$	$1$	$1$	$0.423$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-53}) \)	\(\Q(\sqrt{53}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{9}+2q^{13}+2q^{17}+q^{25}-2q^{29}+\cdots\)
2279.1.d.a	$2279$	$1$	2279.d	2279.d	$2$	$1$	$1$	$1.137$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-2279}) \)	\(\Q(\sqrt{53}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}-q^{9}+2q^{11}-2q^{13}+q^{16}+\cdots\)
2279.1.j.a	$2279$	$1$	2279.j	2279.j	$6$	$2$	$1$	$1.137$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{53}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}-\zeta_{6}^{2}q^{9}-q^{11}+\zeta_{6}^{2}q^{13}+\cdots\)
2491.1.c.b	$2491$	$1$	2491.c	2491.c	$2$	$1$	$1$	$1.243$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-2491}) \)	\(\Q(\sqrt{53}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+q^{4}-2q^{7}+q^{9}+q^{16}+2q^{17}+\cdots\)
2597.1.c.a	$2597$	$1$	2597.c	371.c	$2$	$2$	$2$	$1.296$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{53}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q+q^{4}-q^{9}+q^{11}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+\cdots\)
2597.1.i.a	$2597$	$1$	2597.i	371.i	$6$	$2$	$1$	$1.296$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{53}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{9}+\zeta_{6}^{2}q^{11}+(\zeta_{6}+\cdots)q^{13}+\cdots\)
2597.1.i.b	$2597$	$1$	2597.i	371.i	$6$	$2$	$1$	$1.296$	\(\Q(\sqrt{-3}) \)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-371}) \)	\(\Q(\sqrt{53}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{9}-\zeta_{6}^{2}q^{11}-\zeta_{6}q^{16}+\cdots\)
2756.1.bn.a	$2756$	$1$	2756.bn	689.s	$12$	$4$	$1$	$1.375$	\(\Q(\zeta_{12})\)	$D_{12}$	None	\(\Q(\sqrt{53}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q+(-1-\zeta_{12}^{5})q^{7}+\zeta_{12}^{4}q^{9}+(-\zeta_{12}^{2}+\cdots)q^{11}+\cdots\)
3127.1.d.b	$3127$	$1$	3127.d	3127.d	$2$	$1$	$1$	$1.561$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-3127}) \)	\(\Q(\sqrt{53}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-q^{4}-2q^{7}+q^{9}+q^{16}-2q^{17}+\cdots\)
3339.1.e.a	$3339$	$1$	3339.e	371.c	$2$	$1$	$1$	$1.666$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-371}) \)	\(\Q(\sqrt{53}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{4}+q^{7}+2q^{11}+q^{16}-q^{25}+\cdots\)
3339.1.bh.a	$3339$	$1$	3339.bh	371.i	$6$	$2$	$1$	$1.666$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{53}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{6}q^{4}-\zeta_{6}q^{7}+\zeta_{6}q^{11}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{13}+\cdots\)
3392.1.f.b	$3392$	$1$	3392.f	212.d	$2$	$1$	$1$	$1.693$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-53}) \)	\(\Q(\sqrt{53}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{9}-2q^{13}+2q^{17}+q^{25}+2q^{29}+\cdots\)