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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 (35 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	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8550.2.a.a	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-4$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-4q^{7}-q^{8}-4q^{11}+4q^{14}+\cdots$
8550.2.a.d	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{7}-q^{8}-3q^{11}-2q^{13}+\cdots$
8550.2.a.e	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$-2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-2q^{7}-q^{8}-2q^{13}+2q^{14}+\cdots$
8550.2.a.h	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}-q^{11}-4q^{13}+q^{16}+\cdots$
8550.2.a.i	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}+2q^{11}+4q^{13}+\cdots$
8550.2.a.j	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}+4q^{11}-4q^{13}+\cdots$
8550.2.a.k	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{8}+4q^{11}+2q^{13}+\cdots$
8550.2.a.m	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}+6q^{11}-5q^{13}+\cdots$
8550.2.a.n	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{7}-q^{8}-4q^{11}+6q^{13}+\cdots$
8550.2.a.o	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$2$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{7}-q^{8}+2q^{11}-2q^{14}+\cdots$
8550.2.a.q	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$4$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+4q^{7}-q^{8}-6q^{11}-4q^{14}+\cdots$
8550.2.a.t	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-4q^{7}+q^{8}+4q^{11}+2q^{13}+\cdots$
8550.2.a.u	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-3$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-3q^{7}+q^{8}-2q^{11}+q^{13}+\cdots$
8550.2.a.x	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{8}-4q^{11}-2q^{13}+\cdots$
8550.2.a.z	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{8}-q^{11}+4q^{13}+q^{16}+\cdots$
8550.2.a.ba	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{8}+4q^{11}-2q^{13}+\cdots$
8550.2.a.be	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$2$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{7}+q^{8}-3q^{11}+2q^{13}+\cdots$
8550.2.a.bf	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{7}+q^{8}-2q^{11}-4q^{13}+\cdots$
8550.2.a.bg	$8550$	$2$	8550.a	1.a	$1$	$1$	$1$	$68.272$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$2$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+2q^{7}+q^{8}-2q^{11}+4q^{13}+\cdots$
8550.2.a.bn	$8550$	$2$	8550.a	1.a	$1$	$2$	$2$	$68.272$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$-6$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-3+\beta )q^{7}-q^{8}-\beta q^{11}+\cdots$
8550.2.a.bp	$8550$	$2$	8550.a	1.a	$1$	$2$	$2$	$68.272$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$-2$	$+$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1-\beta )q^{7}-q^{8}+2q^{11}+\cdots$
8550.2.a.bs	$8550$	$2$	8550.a	1.a	$1$	$2$	$2$	$68.272$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(1+\beta )q^{7}-q^{8}+(-2+\cdots)q^{11}+\cdots$
8550.2.a.bu	$8550$	$2$	8550.a	1.a	$1$	$2$	$2$	$68.272$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$4$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(2+\beta )q^{7}-q^{8}+(-1+\cdots)q^{11}+\cdots$
8550.2.a.bv	$8550$	$2$	8550.a	1.a	$1$	$2$	$2$	$68.272$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$2$	$0$	$0$	$-4$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-2+\beta )q^{7}+q^{8}+(-1+\cdots)q^{11}+\cdots$
8550.2.a.bw	$8550$	$2$	8550.a	1.a	$1$	$2$	$2$	$68.272$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$0$	$0$	$-4$	$-$	$+$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{7}+q^{8}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots$
8550.2.a.by	$8550$	$2$	8550.a	1.a	$1$	$2$	$2$	$68.272$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$0$	$0$	$-2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1+\beta )q^{7}+q^{8}+(-2+\cdots)q^{11}+\cdots$
8550.2.a.cf	$8550$	$2$	8550.a	1.a	$1$	$3$	$3$	$68.272$	3.3.148.1	None	✓	$1$	$1$	$-3$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta _{2}q^{7}-q^{8}+(1-\beta _{1}+\cdots)q^{11}+\cdots$
8550.2.a.cg	$8550$	$2$	8550.a	1.a	$1$	$3$	$3$	$68.272$	3.3.564.1	None	✓	$1$	$1$	$-3$	$0$	$0$	$2$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(\beta _{1}-\beta _{2})q^{7}-q^{8}+(-2+\cdots)q^{11}+\cdots$
8550.2.a.ch	$8550$	$2$	8550.a	1.a	$1$	$3$	$3$	$68.272$	3.3.788.1	None	✓	$1$	$1$	$-3$	$0$	$0$	$2$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(1-\beta _{1})q^{7}-q^{8}+(-1+\cdots)q^{11}+\cdots$
8550.2.a.cl	$8550$	$2$	8550.a	1.a	$1$	$3$	$3$	$68.272$	3.3.568.1	None	✓	$1$	$1$	$3$	$0$	$0$	$-4$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1-\beta _{1})q^{7}+q^{8}+(\beta _{1}+\cdots)q^{11}+\cdots$
8550.2.a.cm	$8550$	$2$	8550.a	1.a	$1$	$3$	$3$	$68.272$	3.3.788.1	None	✓	$1$	$1$	$3$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1+\beta _{1})q^{7}+q^{8}+(-1+\cdots)q^{11}+\cdots$
8550.2.a.cn	$8550$	$2$	8550.a	1.a	$1$	$3$	$3$	$68.272$	3.3.564.1	None	✓	$1$	$1$	$3$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-\beta _{1}+\beta _{2})q^{7}+q^{8}+\cdots$
8550.2.a.cq	$8550$	$2$	8550.a	1.a	$1$	$3$	$3$	$68.272$	3.3.148.1	None	✓	$1$	$1$	$3$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-\beta _{2}q^{7}+q^{8}+(-3-\beta _{1}+\cdots)q^{11}+\cdots$
8550.2.a.cv	$8550$	$2$	8550.a	1.a	$1$	$4$	$4$	$68.272$	$\Q(\zeta_{24})^+$	None	✓	$2$	$1$	$4$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta _{1}q^{7}+q^{8}+\beta _{3}q^{11}+\cdots$
8550.2.a.cw	$8550$	$2$	8550.a	1.a	$1$	$6$	$6$	$68.272$	6.6.3356224.1	None	✓	$2$	$1$	$-6$	$0$	$0$	$0$	$+$	$+$	$-$	$-$	$+$	$2^{5}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta _{1}q^{7}-q^{8}+(-\beta _{1}+\beta _{4}+\cdots)q^{11}+\cdots$

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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.