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

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Level	Weight	Analytic conductor	$Nk^2$	Dim.

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

Self-twists	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 (24 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				A-L signs				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	3	5	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7800.2.a.d	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}-q^{13}-2q^{17}-4q^{19}+\cdots$
7800.2.a.e	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}+q^{13}-2q^{17}-4q^{23}+\cdots$
7800.2.a.f	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{9}+6q^{11}+q^{13}-2q^{17}+\cdots$
7800.2.a.i	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$0$	$3$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{7}+q^{9}-3q^{11}+q^{13}+\cdots$
7800.2.a.m	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$-5$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-5q^{7}+q^{9}+5q^{11}+q^{13}+\cdots$
7800.2.a.n	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$-4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-4q^{7}+q^{9}-q^{13}-2q^{17}+\cdots$
7800.2.a.s	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}-2q^{11}+q^{13}-2q^{17}+\cdots$
7800.2.a.u	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}+4q^{11}-q^{13}+2q^{17}+\cdots$
7800.2.a.v	$7800$	$2$	7800.a	1.a	$1$	$1$	$1$	$62.283$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$0$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}+3q^{11}-q^{13}-7q^{17}+\cdots$
7800.2.a.y	$7800$	$2$	7800.a	1.a	$1$	$2$	$2$	$62.283$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+\beta q^{7}+q^{9}+\beta q^{11}+q^{13}+\cdots$
7800.2.a.z	$7800$	$2$	7800.a	1.a	$1$	$2$	$2$	$62.283$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$-2$	$0$	$2$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(1+\beta )q^{7}+q^{9}+(-1+\beta )q^{11}+\cdots$
7800.2.a.ba	$7800$	$2$	7800.a	1.a	$1$	$2$	$2$	$62.283$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$-2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1+\beta )q^{7}+q^{9}+(-1-\beta )q^{11}+\cdots$
7800.2.a.bc	$7800$	$2$	7800.a	1.a	$1$	$2$	$2$	$62.283$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+\beta q^{7}+q^{9}-\beta q^{11}-q^{13}+\cdots$
7800.2.a.bd	$7800$	$2$	7800.a	1.a	$1$	$2$	$2$	$62.283$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+\beta q^{7}+q^{9}+(-4+\beta )q^{11}+\cdots$
7800.2.a.be	$7800$	$2$	7800.a	1.a	$1$	$2$	$2$	$62.283$	$\Q(\sqrt{41}) $	None	✓	$1$	$1$	$0$	$2$	$0$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+\beta q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots$
7800.2.a.bf	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.1849.1	None	✓	$1$	$1$	$0$	$-3$	$0$	$-5$	$+$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+(-2+\beta _{1})q^{7}+q^{9}+(1+\beta _{2})q^{11}+\cdots$
7800.2.a.bg	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.788.1	None	✓	$1$	$1$	$0$	$-3$	$0$	$-1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-\beta _{1}q^{7}+q^{9}+(-1-\beta _{1}+\beta _{2})q^{11}+\cdots$
7800.2.a.bl	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.148.1	None	✓	$1$	$1$	$0$	$-3$	$0$	$1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(\beta _{1}+2\beta _{2})q^{7}+q^{9}+(-1+\beta _{2})q^{11}+\cdots$
7800.2.a.bo	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.148.1	None	✓	$1$	$1$	$0$	$3$	$0$	$-1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-\beta _{1}-2\beta _{2})q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$
7800.2.a.bp	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.568.1	None	✓	$1$	$1$	$0$	$3$	$0$	$0$	$-$	$-$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+q^{9}+(-2-\beta _{1})q^{11}+q^{13}+\cdots$
7800.2.a.br	$7800$	$2$	7800.a	1.a	$1$	$3$	$3$	$62.283$	3.3.788.1	None	✓	$1$	$1$	$0$	$3$	$0$	$1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+\beta _{1}q^{7}+q^{9}+(-1-\beta _{1}+\beta _{2})q^{11}+\cdots$
7800.2.a.bt	$7800$	$2$	7800.a	1.a	$1$	$4$	$4$	$62.283$	4.4.30056.1	None	✓	$1$	$1$	$0$	$-4$	$0$	$-7$	$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+(-2-\beta _{1})q^{7}+q^{9}+(\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots$
7800.2.a.bw	$7800$	$2$	7800.a	1.a	$1$	$4$	$4$	$62.283$	4.4.10304.1	None	✓	$1$	$1$	$0$	$4$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}+\beta _{3}q^{7}+q^{9}+(-2-\beta _{1})q^{11}+\cdots$
7800.2.a.bz	$7800$	$2$	7800.a	1.a	$1$	$5$	$5$	$62.283$	5.5.504568.1	None	✓	$1$	$1$	$0$	$-5$	$0$	$-1$	$-$	$+$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{3}-\beta _{1}q^{7}+q^{9}+(1-\beta _{3})q^{11}+\cdots$

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Elliptic curves over $\Q$
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Genus 2 curves over $\Q$
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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.