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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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7200.2.a.a	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}-4q^{13}+8q^{19}-4q^{23}+6q^{29}+\cdots$
7200.2.a.b	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}+2q^{13}-6q^{17}+4q^{23}+2q^{29}+\cdots$
7200.2.a.e	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{7}+4q^{11}+2q^{13}-6q^{17}+4q^{19}+\cdots$
7200.2.a.h	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-3$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{7}+5q^{13}-5q^{19}-4q^{23}-4q^{29}+\cdots$
7200.2.a.l	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-4q^{11}+6q^{13}+2q^{17}-8q^{19}+\cdots$
7200.2.a.m	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-2q^{11}-2q^{17}+4q^{19}-2q^{29}+\cdots$
7200.2.a.o	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+5q^{11}+5q^{17}-5q^{19}-6q^{23}+\cdots$
7200.2.a.p	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+6q^{11}+2q^{13}-6q^{17}+4q^{19}+\cdots$
7200.2.a.q	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-4q^{11}-3q^{13}+4q^{17}+q^{19}+\cdots$
7200.2.a.r	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}-q^{13}+3q^{19}+4q^{23}-4q^{29}+\cdots$
7200.2.a.s	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{7}+q^{13}-3q^{19}+4q^{23}-4q^{29}+\cdots$
7200.2.a.v	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	$\Q(\sqrt{-1}) $	✓	$2$	$1$	$0$	$0$	$0$	$0$	$-$	$-$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	$q-6q^{13}+2q^{17}+10q^{29}+2q^{37}+\cdots$
7200.2.a.w	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	$\Q(\sqrt{-1}) $	✓	$2$	$1$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	$q-4q^{13}-2q^{17}+4q^{29}+12q^{37}+\cdots$
7200.2.a.y	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	$\Q(\sqrt{-1}) $	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	$q-4q^{13}+8q^{17}-10q^{29}-12q^{37}+\cdots$
7200.2.a.ba	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{13}+6q^{17}+4q^{19}-8q^{23}+\cdots$
7200.2.a.bc	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	$\Q(\sqrt{-1}) $	✓	$2$	$1$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	$q+4q^{13}-2q^{17}-4q^{29}-12q^{37}+\cdots$
7200.2.a.be	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	$\Q(\sqrt{-1}) $	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	$q+6q^{13}-8q^{17}-4q^{29}+2q^{37}+\cdots$
7200.2.a.bh	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-4q^{11}+3q^{13}-4q^{17}+q^{19}+\cdots$
7200.2.a.bi	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$1$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}-q^{13}-3q^{19}-4q^{23}-4q^{29}+\cdots$
7200.2.a.bj	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{7}+q^{13}+3q^{19}-4q^{23}-4q^{29}+\cdots$
7200.2.a.bl	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-6q^{11}+2q^{13}-6q^{17}-4q^{19}+\cdots$
7200.2.a.bn	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-2q^{11}+2q^{17}-4q^{19}+2q^{29}+\cdots$
7200.2.a.bq	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}+5q^{11}-5q^{17}-5q^{19}+6q^{23}+\cdots$
7200.2.a.bt	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$3$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{7}-5q^{13}-5q^{19}+4q^{23}-4q^{29}+\cdots$
7200.2.a.bw	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}-4q^{11}-6q^{13}+2q^{17}+4q^{19}+\cdots$
7200.2.a.by	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$4$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}-4q^{13}-8q^{19}+4q^{23}+6q^{29}+\cdots$
7200.2.a.bz	$7200$	$2$	7200.a	1.a	$1$	$1$	$1$	$57.492$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$4$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+4q^{7}+2q^{13}-6q^{17}-4q^{23}+2q^{29}+\cdots$
7200.2.a.cb	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	$\Q(\sqrt{5}) $	$\Q(\sqrt{-5}) $	✓	$2$	$1$	$0$	$0$	$0$	$-6$	$+$	$-$	$-$	$+$	$2$	$N(\mathrm{U}(1))$	$q+(-3-\beta )q^{7}+(1+3\beta )q^{23}+6q^{29}+\cdots$
7200.2.a.cd	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	$\Q(\sqrt{13}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{7}-2q^{11}-3q^{13}+2\beta q^{17}+\cdots$
7200.2.a.ce	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	$\Q(\sqrt{13}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{7}-2q^{11}+3q^{13}+2\beta q^{17}+\cdots$
7200.2.a.ch	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	$\Q(\sqrt{5}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta q^{7}+\beta q^{11}-4q^{13}+2q^{17}+2\beta q^{23}+\cdots$
7200.2.a.cj	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	$\Q(\sqrt{5}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{7}-2\beta q^{11}-q^{13}+2q^{17}+3\beta q^{19}+\cdots$
7200.2.a.ck	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	$\Q(\sqrt{5}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{7}+2\beta q^{11}+q^{13}-2q^{17}-3\beta q^{19}+\cdots$
7200.2.a.cq	$7200$	$2$	7200.a	1.a	$1$	$2$	$2$	$57.492$	$\Q(\sqrt{5}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$4$	$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+2q^{7}+\beta q^{11}-\beta q^{13}-\beta q^{17}-4q^{23}+\cdots$
7200.2.a.cs	$7200$	$2$	7200.a	1.a	$1$	$4$	$4$	$57.492$	$\Q(\zeta_{24})^+$	None	✓	$4$	$1$	$0$	$0$	$0$	$0$	$-$	$+$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{7}-\beta _{2}q^{11}+\beta _{2}q^{13}+\beta _{3}q^{17}+\cdots$

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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.