LMFDB - Space of modular forms of level 3024, weight 1, and Character 3024.o

Defining parameters

The following table gives the dimensions of various subspaces of $M_{1}(3024, [\chi])$.

The following table gives the dimensions of subspaces with specified projective image type.

	$D_n$	$A_4$	$S_4$	$A_5$
Dimension	8	0	0	0

Label	Dim.	$A$	Field	Image	CM	RM	Traces				$q$-expansion
Label	Dim.	$A$	Field	Image	CM	RM	$a_2$	$a_3$	$a_5$	$a_7$	$q$-expansion
3024.1.o.a	$2$	$1.509$	$\Q(\sqrt{3}) $	$D_{6}$	$\Q(\sqrt{-21}) $	None	$0$	$0$	$0$	$-2$	$q-\beta q^{5}-q^{7}-\beta q^{11}+q^{19}+\beta q^{23}+\cdots$
3024.1.o.b	$2$	$1.509$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-3}) $	None	$0$	$0$	$0$	$-1$	$q+\zeta_{6}^{2}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}-q^{19}+\cdots$
3024.1.o.c	$2$	$1.509$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-3}) $	None	$0$	$0$	$0$	$1$	$q-\zeta_{6}^{2}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+q^{19}+\cdots$
3024.1.o.d	$2$	$1.509$	$\Q(\sqrt{3}) $	$D_{6}$	$\Q(\sqrt{-21}) $	None	$0$	$0$	$0$	$2$	$q-\beta q^{5}+q^{7}+\beta q^{11}-q^{19}-\beta q^{23}+\cdots$

$ S_{1}^{\mathrm{old}}(3024, [\chi]) \cong $ $S_{1}^{\mathrm{new}}(252, [\chi])$$^{\oplus 6}$$\oplus$$S_{1}^{\mathrm{new}}(336, [\chi])$$^{\oplus 3}$$\oplus$$S_{1}^{\mathrm{new}}(756, [\chi])$$^{\oplus 3}$

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Label	Dim.	\(A\)	Field	Image	CM	RM	Traces				$q$-expansion
Label	Dim.	\(A\)	Field	Image	CM	RM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	$q$-expansion
3024.1.o.a	\(2\)	\(1.509\)	\(\Q(\sqrt{3}) \)	\(D_{6}\)	\(\Q(\sqrt{-21}) \)	None	\(0\)	\(0\)	\(0\)	\(-2\)	\(q-\beta q^{5}-q^{7}-\beta q^{11}+q^{19}+\beta q^{23}+\cdots\)
3024.1.o.b	\(2\)	\(1.509\)	\(\Q(\sqrt{-3}) \)	\(D_{6}\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(0\)	\(0\)	\(-1\)	\(q+\zeta_{6}^{2}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}-q^{19}+\cdots\)
3024.1.o.c	\(2\)	\(1.509\)	\(\Q(\sqrt{-3}) \)	\(D_{6}\)	\(\Q(\sqrt{-3}) \)	None	\(0\)	\(0\)	\(0\)	\(1\)	\(q-\zeta_{6}^{2}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+q^{19}+\cdots\)
3024.1.o.d	\(2\)	\(1.509\)	\(\Q(\sqrt{3}) \)	\(D_{6}\)	\(\Q(\sqrt{-21}) \)	None	\(0\)	\(0\)	\(0\)	\(2\)	\(q-\beta q^{5}+q^{7}+\beta q^{11}-q^{19}-\beta q^{23}+\cdots\)