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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 (39 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	5	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9025.2.a.b	$9025$	$2$	9025.a	1.a	$1$	$1$	$1$	$72.065$	$\Q$	None	✓	$1$	$0$	$-2$	$0$	$0$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+4q^{7}-3q^{9}-q^{11}+\cdots$
9025.2.a.d	$9025$	$2$	9025.a	1.a	$1$	$1$	$1$	$72.065$	$\Q$	None	✓	$1$	$0$	$0$	$-2$	$0$	$1$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-2q^{4}+q^{7}+q^{9}+3q^{11}+\cdots$
9025.2.a.e	$9025$	$2$	9025.a	1.a	$1$	$1$	$1$	$72.065$	$\Q$	None	✓	$1$	$0$	$0$	$-2$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-2q^{4}+4q^{7}+q^{9}+3q^{11}+\cdots$
9025.2.a.i	$9025$	$2$	9025.a	1.a	$1$	$1$	$1$	$72.065$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$0$	$-4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-4q^{7}-3q^{9}-q^{11}+\cdots$
9025.2.a.k	$9025$	$2$	9025.a	1.a	$1$	$2$	$2$	$72.065$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-3$	$-3$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}+(-1-\beta )q^{3}+3\beta q^{4}+\cdots$
9025.2.a.m	$9025$	$2$	9025.a	1.a	$1$	$2$	$2$	$72.065$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-3$	$0$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}+(-1+2\beta )q^{3}+3\beta q^{4}+\cdots$
9025.2.a.n	$9025$	$2$	9025.a	1.a	$1$	$2$	$2$	$72.065$	$\Q(\sqrt{5}) $	None	✓	$1$	$2$	$-1$	$-3$	$0$	$-6$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-2+\beta )q^{3}+(-1+\beta )q^{4}+\cdots$
9025.2.a.o	$9025$	$2$	9025.a	1.a	$1$	$2$	$2$	$72.065$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$-4$	$0$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-2\beta )q^{2}-2q^{3}+3q^{4}+(-2+4\beta )q^{6}+\cdots$
9025.2.a.p	$9025$	$2$	9025.a	1.a	$1$	$2$	$2$	$72.065$	$\Q(\sqrt{19}) $	$\Q(\sqrt{-19}) $	✓	$4$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	$q-2q^{4}-\beta q^{7}-3q^{9}+5q^{11}+4q^{16}+\cdots$
9025.2.a.r	$9025$	$2$	9025.a	1.a	$1$	$2$	$2$	$72.065$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$4$	$0$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-2\beta )q^{2}+2q^{3}+3q^{4}+(2-4\beta )q^{6}+\cdots$
9025.2.a.s	$9025$	$2$	9025.a	1.a	$1$	$2$	$2$	$72.065$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$1$	$3$	$0$	$-6$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(2-\beta )q^{3}+(-1+\beta )q^{4}+(-1+\cdots)q^{6}+\cdots$
9025.2.a.u	$9025$	$2$	9025.a	1.a	$1$	$2$	$2$	$72.065$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$3$	$0$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(1-2\beta )q^{3}+3\beta q^{4}+(-1+\cdots)q^{6}+\cdots$
9025.2.a.v	$9025$	$2$	9025.a	1.a	$1$	$2$	$2$	$72.065$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$3$	$3$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(1+\beta )q^{3}+3\beta q^{4}+(2+\cdots)q^{6}+\cdots$
9025.2.a.x	$9025$	$2$	9025.a	1.a	$1$	$3$	$3$	$72.065$	$\Q(\zeta_{18})^+$	None	✓	$1$	$0$	$-3$	$-3$	$0$	$0$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(-1+\beta _{2})q^{3}+(1+\cdots)q^{4}+\cdots$
9025.2.a.y	$9025$	$2$	9025.a	1.a	$1$	$3$	$3$	$72.065$	3.3.169.1	None	✓	$1$	$0$	$-2$	$-2$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(-1-\beta _{2})q^{3}+(2+\cdots)q^{4}+\cdots$
9025.2.a.ba	$9025$	$2$	9025.a	1.a	$1$	$3$	$3$	$72.065$	3.3.361.1	None	✓	$1$	$0$	$1$	$1$	$0$	$-2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1}-\beta _{2})q^{2}+\beta _{2}q^{3}+(2+\beta _{1}+\cdots)q^{4}+\cdots$
9025.2.a.bb	$9025$	$2$	9025.a	1.a	$1$	$3$	$3$	$72.065$	3.3.148.1	None	✓	$1$	$0$	$1$	$2$	$0$	$0$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots$
9025.2.a.be	$9025$	$2$	9025.a	1.a	$1$	$3$	$3$	$72.065$	$\Q(\zeta_{14})^+$	None	✓	$1$	$0$	$4$	$2$	$0$	$0$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{1})q^{2}+(\beta _{1}-\beta _{2})q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots$
9025.2.a.bf	$9025$	$2$	9025.a	1.a	$1$	$4$	$4$	$72.065$	4.4.11344.1	None	✓	$1$	$0$	$-2$	$2$	$0$	$-4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{2}-\beta _{3}q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots$
9025.2.a.bh	$9025$	$2$	9025.a	1.a	$1$	$4$	$4$	$72.065$	4.4.2225.1	None	✓	$1$	$0$	$-1$	$-1$	$0$	$11$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(1+\beta _{1}+\beta _{3})q^{4}+\cdots$
9025.2.a.bm	$9025$	$2$	9025.a	1.a	$1$	$4$	$4$	$72.065$	$\Q(\zeta_{20})^+$	None	✓	$2$	$0$	$0$	$0$	$0$	$8$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots$
9025.2.a.bo	$9025$	$2$	9025.a	1.a	$1$	$4$	$4$	$72.065$	4.4.2225.1	None	✓	$1$	$0$	$1$	$1$	$0$	$11$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots$
9025.2.a.bp	$9025$	$2$	9025.a	1.a	$1$	$4$	$4$	$72.065$	4.4.7537.1	None	✓	$1$	$0$	$1$	$3$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}+(1-\beta _{1})q^{3}+(1-\beta _{2}+\beta _{3})q^{4}+\cdots$
9025.2.a.bq	$9025$	$2$	9025.a	1.a	$1$	$6$	$6$	$72.065$	6.6.5822000.1	None	✓	$1$	$0$	$-2$	$-4$	$0$	$-7$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1}-\beta _{3})q^{2}+(-1-\beta _{3}+\beta _{4}+\cdots)q^{3}+\cdots$
9025.2.a.bu	$9025$	$2$	9025.a	1.a	$1$	$6$	$6$	$72.065$	6.6.4227136.1	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{1}+\beta _{5})q^{2}+(\beta _{1}-\beta _{4}+\beta _{5})q^{3}+\cdots$
9025.2.a.bw	$9025$	$2$	9025.a	1.a	$1$	$6$	$6$	$72.065$	6.6.71593280.1	None	✓	$2$	$0$	$0$	$0$	$0$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{5})q^{3}+(1+\beta _{2})q^{4}+\cdots$
9025.2.a.by	$9025$	$2$	9025.a	1.a	$1$	$6$	$6$	$72.065$	6.6.41289040.1	None	✓	$1$	$0$	$2$	$3$	$0$	$-2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{4}q^{2}+(1-\beta _{1}-\beta _{3})q^{3}+(-\beta _{3}+\cdots)q^{4}+\cdots$
9025.2.a.bz	$9025$	$2$	9025.a	1.a	$1$	$6$	$6$	$72.065$	6.6.41289040.1	None	✓	$1$	$0$	$2$	$3$	$0$	$2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{4}q^{2}+(1-\beta _{1}-\beta _{3})q^{3}+(-\beta _{3}+\cdots)q^{4}+\cdots$
9025.2.a.ca	$9025$	$2$	9025.a	1.a	$1$	$6$	$6$	$72.065$	6.6.5822000.1	None	✓	$1$	$0$	$2$	$4$	$0$	$-7$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1}+\beta _{3})q^{2}+(1+\beta _{3}-\beta _{4})q^{3}+\cdots$
9025.2.a.cb	$9025$	$2$	9025.a	1.a	$1$	$8$	$8$	$72.065$	8.8.$\cdots$.1	$\Q(\sqrt{-95}) $	✓	$4$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$2^{4}$	$N(\mathrm{U}(1))$	$q+\beta _{1}q^{2}-\beta _{5}q^{3}+(2+\beta _{2})q^{4}+(-\beta _{3}+\cdots)q^{6}+\cdots$
9025.2.a.cd	$9025$	$2$	9025.a	1.a	$1$	$9$	$9$	$72.065$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$0$	$-3$	$0$	$0$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{5})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots$
9025.2.a.cf	$9025$	$2$	9025.a	1.a	$1$	$9$	$9$	$72.065$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	$1$	$0$	$6$	$9$	$0$	$0$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(1-\beta _{7})q^{3}+(\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots$
9025.2.a.ch	$9025$	$2$	9025.a	1.a	$1$	$10$	$10$	$72.065$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$-2$	$0$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{4}+\beta _{7}-\beta _{8})q^{3}+(1+\cdots)q^{4}+\cdots$
9025.2.a.cj	$9025$	$2$	9025.a	1.a	$1$	$10$	$10$	$72.065$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$2$	$0$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(-1-\beta _{4}-\beta _{7}+\beta _{8})q^{3}+\cdots$
9025.2.a.co	$9025$	$2$	9025.a	1.a	$1$	$20$	$20$	$72.065$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	None	✓	$2$	$0$	$0$	$0$	$0$	$8$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{16}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots$
9025.2.a.cr	$9025$	$2$	9025.a	1.a	$1$	$21$	$21$	$72.065$		None	✓	$1$	$0$	$6$	$9$	$0$	$0$	$+$	$-$	$-$		$\mathrm{SU}(2)$
9025.2.a.cs	$9025$	$2$	9025.a	1.a	$1$	$21$	$21$	$72.065$		None	✓	$1$	$0$	$6$	$9$	$0$	$0$	$-$	$+$	$-$		$\mathrm{SU}(2)$
9025.2.a.cu	$9025$	$2$	9025.a	1.a	$1$	$24$	$24$	$72.065$		None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$		$\mathrm{SU}(2)$
9025.2.a.cv	$9025$	$2$	9025.a	1.a	$1$	$40$	$40$	$72.065$		None	✓	$4$	$0$	$0$	$0$	$0$	$0$	$-$	$+$	$-$		$\mathrm{SU}(2)$

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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.