LMFDB - Newform search results

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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twist	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (20 matches)

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Label	Dim.	$A$	Field	CM	Traces				A-L signs			$q$-expansion
Label	Dim.	$A$	Field	CM	$a_2$	$a_3$	$a_5$	$a_7$	2	3	5	$q$-expansion
2880.2.a.a	$1$	$22.997$	$\Q$	None	$0$	$0$	$-1$	$-4$	$+$	$-$	$+$	$q-q^{5}-4q^{7}-2q^{13}-6q^{17}+4q^{19}+\cdots$
2880.2.a.c	$1$	$22.997$	$\Q$	None	$0$	$0$	$-1$	$-4$	$+$	$-$	$+$	$q-q^{5}-4q^{7}+4q^{11}-6q^{13}-2q^{17}+\cdots$
2880.2.a.d	$1$	$22.997$	$\Q$	None	$0$	$0$	$-1$	$-2$	$+$	$-$	$+$	$q-q^{5}-2q^{7}-4q^{11}+6q^{13}-2q^{17}+\cdots$
2880.2.a.e	$1$	$22.997$	$\Q$	None	$0$	$0$	$-1$	$-2$	$-$	$+$	$+$	$q-q^{5}-2q^{7}-2q^{11}-4q^{13}+2q^{17}+\cdots$
2880.2.a.h	$1$	$22.997$	$\Q$	None	$0$	$0$	$-1$	$-2$	$-$	$+$	$+$	$q-q^{5}-2q^{7}+6q^{11}+4q^{13}-6q^{17}+\cdots$
2880.2.a.m	$1$	$22.997$	$\Q$	None	$0$	$0$	$-1$	$2$	$+$	$-$	$+$	$q-q^{5}+2q^{7}-2q^{13}+6q^{17}+4q^{19}+\cdots$
2880.2.a.o	$1$	$22.997$	$\Q$	None	$0$	$0$	$-1$	$2$	$+$	$-$	$+$	$q-q^{5}+2q^{7}+4q^{11}+6q^{13}-2q^{17}+\cdots$
2880.2.a.p	$1$	$22.997$	$\Q$	None	$0$	$0$	$-1$	$4$	$+$	$-$	$+$	$q-q^{5}+4q^{7}-4q^{11}-6q^{13}-2q^{17}+\cdots$
2880.2.a.r	$1$	$22.997$	$\Q$	None	$0$	$0$	$-1$	$4$	$+$	$-$	$+$	$q-q^{5}+4q^{7}+6q^{13}+2q^{17}-4q^{19}+\cdots$
2880.2.a.s	$1$	$22.997$	$\Q$	None	$0$	$0$	$1$	$-4$	$-$	$-$	$-$	$q+q^{5}-4q^{7}+2q^{13}+6q^{17}+4q^{23}+\cdots$
2880.2.a.v	$1$	$22.997$	$\Q$	None	$0$	$0$	$1$	$-2$	$+$	$+$	$-$	$q+q^{5}-2q^{7}-2q^{11}+2q^{17}+4q^{19}+\cdots$
2880.2.a.bb	$1$	$22.997$	$\Q$	None	$0$	$0$	$1$	$0$	$-$	$-$	$-$	$q+q^{5}+4q^{11}-6q^{13}+6q^{17}-4q^{19}+\cdots$
2880.2.a.bc	$1$	$22.997$	$\Q$	None	$0$	$0$	$1$	$0$	$-$	$-$	$-$	$q+q^{5}+4q^{11}+2q^{13}-2q^{17}+4q^{19}+\cdots$
2880.2.a.bd	$1$	$22.997$	$\Q$	None	$0$	$0$	$1$	$2$	$+$	$+$	$-$	$q+q^{5}+2q^{7}-2q^{11}-4q^{13}-2q^{17}+\cdots$
2880.2.a.be	$1$	$22.997$	$\Q$	None	$0$	$0$	$1$	$2$	$+$	$+$	$-$	$q+q^{5}+2q^{7}+2q^{11}+2q^{17}-4q^{19}+\cdots$
2880.2.a.bf	$1$	$22.997$	$\Q$	None	$0$	$0$	$1$	$2$	$+$	$+$	$-$	$q+q^{5}+2q^{7}+6q^{11}+4q^{13}+6q^{17}+\cdots$
2880.2.a.bg	$1$	$22.997$	$\Q$	None	$0$	$0$	$1$	$4$	$-$	$-$	$-$	$q+q^{5}+4q^{7}-4q^{11}+2q^{13}-2q^{17}+\cdots$
2880.2.a.bh	$1$	$22.997$	$\Q$	None	$0$	$0$	$1$	$4$	$-$	$-$	$-$	$q+q^{5}+4q^{7}+2q^{13}+6q^{17}-4q^{23}+\cdots$
2880.2.a.bi	$2$	$22.997$	$\Q(\sqrt{5}) $	None	$0$	$0$	$-2$	$0$	$-$	$+$	$+$	$q-q^{5}-\beta q^{7}-\beta q^{11}-4q^{13}+2q^{17}+\cdots$
2880.2.a.bk	$2$	$22.997$	$\Q(\sqrt{2}) $	None	$0$	$0$	$2$	$0$	$-$	$-$	$-$	$q+q^{5}+\beta q^{7}+2\beta q^{11}+2q^{13}-2q^{17}+\cdots$

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Elliptic curves over $\Q$
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Higher genus families
Abelian varieties over $\F_{q}$

Label	Dim.	\(A\)	Field	CM	Traces				A-L signs			$q$-expansion
Label	Dim.	\(A\)	Field	CM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	2	3	5	$q$-expansion
2880.2.a.a	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(-4\)	\(+\)	\(-\)	\(+\)	\(q-q^{5}-4q^{7}-2q^{13}-6q^{17}+4q^{19}+\cdots\)
2880.2.a.c	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(-4\)	\(+\)	\(-\)	\(+\)	\(q-q^{5}-4q^{7}+4q^{11}-6q^{13}-2q^{17}+\cdots\)
2880.2.a.d	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(-2\)	\(+\)	\(-\)	\(+\)	\(q-q^{5}-2q^{7}-4q^{11}+6q^{13}-2q^{17}+\cdots\)
2880.2.a.e	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(-2\)	\(-\)	\(+\)	\(+\)	\(q-q^{5}-2q^{7}-2q^{11}-4q^{13}+2q^{17}+\cdots\)
2880.2.a.h	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(-2\)	\(-\)	\(+\)	\(+\)	\(q-q^{5}-2q^{7}+6q^{11}+4q^{13}-6q^{17}+\cdots\)
2880.2.a.m	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(2\)	\(+\)	\(-\)	\(+\)	\(q-q^{5}+2q^{7}-2q^{13}+6q^{17}+4q^{19}+\cdots\)
2880.2.a.o	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(2\)	\(+\)	\(-\)	\(+\)	\(q-q^{5}+2q^{7}+4q^{11}+6q^{13}-2q^{17}+\cdots\)
2880.2.a.p	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(4\)	\(+\)	\(-\)	\(+\)	\(q-q^{5}+4q^{7}-4q^{11}-6q^{13}-2q^{17}+\cdots\)
2880.2.a.r	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(4\)	\(+\)	\(-\)	\(+\)	\(q-q^{5}+4q^{7}+6q^{13}+2q^{17}-4q^{19}+\cdots\)
2880.2.a.s	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(-4\)	\(-\)	\(-\)	\(-\)	\(q+q^{5}-4q^{7}+2q^{13}+6q^{17}+4q^{23}+\cdots\)
2880.2.a.v	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(-2\)	\(+\)	\(+\)	\(-\)	\(q+q^{5}-2q^{7}-2q^{11}+2q^{17}+4q^{19}+\cdots\)
2880.2.a.bb	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q+q^{5}+4q^{11}-6q^{13}+6q^{17}-4q^{19}+\cdots\)
2880.2.a.bc	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q+q^{5}+4q^{11}+2q^{13}-2q^{17}+4q^{19}+\cdots\)
2880.2.a.bd	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(2\)	\(+\)	\(+\)	\(-\)	\(q+q^{5}+2q^{7}-2q^{11}-4q^{13}-2q^{17}+\cdots\)
2880.2.a.be	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(2\)	\(+\)	\(+\)	\(-\)	\(q+q^{5}+2q^{7}+2q^{11}+2q^{17}-4q^{19}+\cdots\)
2880.2.a.bf	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(2\)	\(+\)	\(+\)	\(-\)	\(q+q^{5}+2q^{7}+6q^{11}+4q^{13}+6q^{17}+\cdots\)
2880.2.a.bg	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(4\)	\(-\)	\(-\)	\(-\)	\(q+q^{5}+4q^{7}-4q^{11}+2q^{13}-2q^{17}+\cdots\)
2880.2.a.bh	\(1\)	\(22.997\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(4\)	\(-\)	\(-\)	\(-\)	\(q+q^{5}+4q^{7}+2q^{13}+6q^{17}-4q^{23}+\cdots\)
2880.2.a.bi	\(2\)	\(22.997\)	\(\Q(\sqrt{5}) \)	None	\(0\)	\(0\)	\(-2\)	\(0\)	\(-\)	\(+\)	\(+\)	\(q-q^{5}-\beta q^{7}-\beta q^{11}-4q^{13}+2q^{17}+\cdots\)
2880.2.a.bk	\(2\)	\(22.997\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(0\)	\(2\)	\(0\)	\(-\)	\(-\)	\(-\)	\(q+q^{5}+\beta q^{7}+2\beta q^{11}+2q^{13}-2q^{17}+\cdots\)

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.