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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 (26 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	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3200.2.a.a	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$2$	$0$	$-3$	$0$	$-4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-4q^{7}+6q^{9}-3q^{11}-2q^{13}+\cdots$
3200.2.a.b	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$0$	$-4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-4q^{7}+6q^{9}+3q^{11}+2q^{13}+\cdots$
3200.2.a.d	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$0$	$0$	$-3$	$0$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+4q^{7}+6q^{9}+3q^{11}-2q^{13}+\cdots$
3200.2.a.g	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$0$	$0$	$-2$	$0$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+q^{9}+2q^{11}+2q^{13}-6q^{17}+\cdots$
3200.2.a.i	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$0$	$0$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{9}-q^{11}-2q^{13}-3q^{17}+\cdots$
3200.2.a.m	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-3q^{9}-6q^{11}+2q^{13}+6q^{17}+\cdots$
3200.2.a.n	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-3q^{9}+6q^{11}-2q^{13}+6q^{17}+\cdots$
3200.2.a.p	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-3q^{9}+6q^{11}+2q^{13}+6q^{17}+\cdots$
3200.2.a.r	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$0$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{9}-q^{11}+2q^{13}+3q^{17}+\cdots$
3200.2.a.x	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$0$	$0$	$2$	$0$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+4q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots$
3200.2.a.z	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$0$	$-4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-4q^{7}+6q^{9}+3q^{11}+2q^{13}+\cdots$
3200.2.a.ba	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$0$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+4q^{7}+6q^{9}-3q^{11}+2q^{13}+\cdots$
3200.2.a.bb	$3200$	$2$	3200.a	1.a	$1$	$1$	$1$	$25.552$	$\Q$	None	✓	$1$	$0$	$0$	$3$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+4q^{7}+6q^{9}+3q^{11}-2q^{13}+\cdots$
3200.2.a.bc	$3200$	$2$	3200.a	1.a	$1$	$2$	$2$	$25.552$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$-4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+(-2-2\beta )q^{7}-2\beta q^{9}+\cdots$
3200.2.a.bd	$3200$	$2$	3200.a	1.a	$1$	$2$	$2$	$25.552$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$-4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+(-2-2\beta )q^{7}-2\beta q^{9}+\cdots$
3200.2.a.bf	$3200$	$2$	3200.a	1.a	$1$	$2$	$2$	$25.552$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$2$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{3}+(1-\beta )q^{7}+(3+2\beta )q^{9}+\cdots$
3200.2.a.bh	$3200$	$2$	3200.a	1.a	$1$	$2$	$2$	$25.552$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$-2$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+(2+2\beta )q^{7}-2\beta q^{9}+\cdots$
3200.2.a.bj	$3200$	$2$	3200.a	1.a	$1$	$2$	$2$	$25.552$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$-4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+(-2+2\beta )q^{7}+2\beta q^{9}+\cdots$
3200.2.a.bk	$3200$	$2$	3200.a	1.a	$1$	$2$	$2$	$25.552$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$-2$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+(-1+\beta )q^{7}+(3+2\beta )q^{9}+\cdots$
3200.2.a.bl	$3200$	$2$	3200.a	1.a	$1$	$2$	$2$	$25.552$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$2$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+(1-\beta )q^{7}+(3+2\beta )q^{9}+\cdots$
3200.2.a.bm	$3200$	$2$	3200.a	1.a	$1$	$2$	$2$	$25.552$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+(2-2\beta )q^{7}+2\beta q^{9}+(-1+\cdots)q^{11}+\cdots$
3200.2.a.bn	$3200$	$2$	3200.a	1.a	$1$	$2$	$2$	$25.552$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$2$	$0$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+(2-2\beta )q^{7}+2\beta q^{9}+(1+\cdots)q^{11}+\cdots$
3200.2.a.br	$3200$	$2$	3200.a	1.a	$1$	$3$	$3$	$25.552$	3.3.148.1	None	✓	$1$	$0$	$0$	$-2$	$0$	$4$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}+(1+\beta _{2})q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$
3200.2.a.bs	$3200$	$2$	3200.a	1.a	$1$	$3$	$3$	$25.552$	3.3.148.1	None	✓	$1$	$0$	$0$	$2$	$0$	$-4$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}+(-1-\beta _{2})q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$
3200.2.a.bu	$3200$	$2$	3200.a	1.a	$1$	$3$	$3$	$25.552$	3.3.148.1	None	✓	$1$	$0$	$0$	$2$	$0$	$4$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}+(1+\beta _{2})q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$
3200.2.a.bv	$3200$	$2$	3200.a	1.a	$1$	$3$	$3$	$25.552$	3.3.148.1	None	✓	$1$	$0$	$0$	$2$	$0$	$4$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}+(1+\beta _{2})q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$

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Elliptic 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.