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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 (25 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
548.1.j.a	$548$	$1$	548.j	548.j	$34$	$16$	$1$	$0.273$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q+\zeta_{34}^{10}q^{2}-\zeta_{34}^{3}q^{4}+(-\zeta_{34}+\zeta_{34}^{13}+\cdots)q^{5}+\cdots$
927.1.v.a	$927$	$1$	927.v	103.f	$34$	$16$	$1$	$0.463$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-2$	$1$		$q+\zeta_{34}^{11}q^{4}+(\zeta_{34}^{2}+\zeta_{34}^{16})q^{7}+\cdots$
959.1.r.a	$959$	$1$	959.r	959.r	$34$	$16$	$1$	$0.479$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-2$	$0$	$0$	$1$	$1$		$q+(\zeta_{34}^{10}-\zeta_{34}^{15})q^{2}+(-\zeta_{34}^{3}+\zeta_{34}^{8}+\cdots)q^{4}+\cdots$
1096.1.u.a	$1096$	$1$	1096.u	1096.u	$34$	$16$	$1$	$0.547$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$1$	$0$	$0$	$0$	$1$		$q+\zeta_{34}q^{2}+(\zeta_{34}^{9}-\zeta_{34}^{15})q^{3}+\zeta_{34}^{2}q^{4}+\cdots$
1156.1.l.a	$1156$	$1$	1156.l	1156.l	$34$	$16$	$1$	$0.577$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$1$	$0$	$-17$	$0$	$1$		$q-\zeta_{34}^{10}q^{2}-\zeta_{34}^{3}q^{4}+(-1+\zeta_{34}^{8}+\cdots)q^{5}+\cdots$
1227.1.s.a	$1227$	$1$	1227.s	1227.s	$34$	$16$	$1$	$0.612$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$0$	$1$		$q-\zeta_{34}^{16}q^{3}+\zeta_{34}^{6}q^{4}+(\zeta_{34}+\zeta_{34}^{16}+\cdots)q^{7}+\cdots$
1507.1.r.a	$1507$	$1$	1507.r	1507.r	$34$	$16$	$1$	$0.752$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{34}^{4}+\zeta_{34}^{15})q^{3}-\zeta_{34}^{3}q^{4}+(-\zeta_{34}^{5}+\cdots)q^{5}+\cdots$
1636.1.t.a	$1636$	$1$	1636.t	1636.t	$34$	$16$	$1$	$0.816$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$2$	$0$	$1$		$q-\zeta_{34}^{7}q^{2}+\zeta_{34}^{14}q^{4}+(\zeta_{34}^{11}+\zeta_{34}^{13}+\cdots)q^{5}+\cdots$
1839.1.r.a	$1839$	$1$	1839.r	1839.r	$34$	$16$	$1$	$0.918$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$-2$	$1$		$q-\zeta_{34}^{15}q^{3}+\zeta_{34}^{11}q^{4}+(\zeta_{34}^{8}-\zeta_{34}^{13}+\cdots)q^{7}+\cdots$
1912.1.x.a	$1912$	$1$	1912.x	1912.x	$34$	$16$	$1$	$0.954$	$\Q(\zeta_{34})$	$D_{34}$	None	$\Q(\sqrt{2}) $		$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q+\zeta_{34}^{6}q^{2}+\zeta_{34}^{12}q^{4}+(\zeta_{34}^{4}+\zeta_{34}^{7}+\cdots)q^{7}+\cdots$
2055.1.be.a	$2055$	$1$	2055.be	2055.ae	$34$	$32$	$2$	$1.026$	$\Q(\zeta_{68})$	$D_{34}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{68}^{17}-\zeta_{68}^{19})q^{2}+\zeta_{68}^{29}q^{3}+\cdots$
2163.1.bu.a	$2163$	$1$	2163.bu	2163.au	$34$	$16$	$1$	$1.079$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$1$	$1$		$q+\zeta_{34}^{8}q^{3}-\zeta_{34}^{15}q^{4}+\zeta_{34}^{11}q^{7}+\cdots$
2163.1.bu.b	$2163$	$1$	2163.bu	2163.au	$34$	$16$	$1$	$1.079$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$1$	$0$	$1$	$1$		$q-\zeta_{34}^{8}q^{3}-\zeta_{34}^{15}q^{4}-\zeta_{34}^{12}q^{7}+\cdots$
2312.1.y.a	$2312$	$1$	2312.y	2312.y	$34$	$16$	$1$	$1.154$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$1$	$0$	$0$	$0$	$1$		$q+\zeta_{34}^{5}q^{2}+(\zeta_{34}+\zeta_{34}^{8})q^{3}+\zeta_{34}^{10}q^{4}+\cdots$
2603.1.w.a	$2603$	$1$	2603.w	2603.w	$34$	$16$	$1$	$1.299$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-19}) $	None		$4$	$0$	$0$	$0$	$0$	$-15$	$1$		$q+\zeta_{34}^{10}q^{4}+(-\zeta_{34}^{3}-\zeta_{34}^{4})q^{5}+\cdots$
2763.1.bi.a	$2763$	$1$	2763.bi	307.h	$34$	$16$	$1$	$1.379$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-15$	$1$		$q-\zeta_{34}^{15}q^{4}+(-1+\zeta_{34}^{5})q^{7}+(\zeta_{34}^{3}+\cdots)q^{13}+\cdots$
2831.1.d.d	$2831$	$1$	2831.d	2831.d	$2$	$16$	$16$	$1.413$	$\Q(\zeta_{68})^+$	$D_{34}$	$\Q(\sqrt{-2831}) $	None	✓	$4$	$0$	$0$	$0$	$2$	$2$	$1$		$q+\beta _{13}q^{2}+\beta _{1}q^{3}+(1-\beta _{8})q^{4}+(1+\cdots)q^{5}+\cdots$
3063.1.x.a	$3063$	$1$	3063.x	3063.x	$34$	$16$	$1$	$1.529$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$0$	$1$		$q-\zeta_{34}q^{3}+\zeta_{34}^{7}q^{4}+(-\zeta_{34}+\zeta_{34}^{11}+\cdots)q^{7}+\cdots$
3064.1.e.g	$3064$	$1$	3064.e	3064.e	$2$	$16$	$16$	$1.529$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-383}) $	None		$4$	$0$	$-1$	$0$	$0$	$2$	$1$		$q-\zeta_{34}^{9}q^{2}+(\zeta_{34}^{6}+\zeta_{34}^{11})q^{3}-\zeta_{34}q^{4}+\cdots$
3272.1.bj.a	$3272$	$1$	3272.bj	3272.aj	$34$	$16$	$1$	$1.633$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$1$	$-2$	$0$	$0$	$1$		$q+\zeta_{34}^{9}q^{2}+(\zeta_{34}^{4}-\zeta_{34}^{7})q^{3}-\zeta_{34}q^{4}+\cdots$
3399.1.bh.a	$3399$	$1$	3399.bh	3399.ah	$34$	$16$	$1$	$1.696$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$-1$	$2$	$0$	$1$		$q-\zeta_{34}^{11}q^{3}-\zeta_{34}^{14}q^{4}+(\zeta_{34}^{5}-\zeta_{34}^{10}+\cdots)q^{5}+\cdots$
3399.1.bh.b	$3399$	$1$	3399.bh	3399.ah	$34$	$16$	$1$	$1.696$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$1$	$-2$	$0$	$1$		$q+\zeta_{34}^{13}q^{3}-\zeta_{34}^{14}q^{4}+(-\zeta_{34}^{5}+\cdots)q^{5}+\cdots$
3791.1.d.e	$3791$	$1$	3791.d	3791.d	$2$	$16$	$16$	$1.892$	$\Q(\zeta_{68})^+$	$D_{34}$	$\Q(\sqrt{-3791}) $	None	✓	$4$	$0$	$2$	$0$	$0$	$0$	$1$		$q+(1-\beta _{2}+\beta _{4}-\beta _{6}+\beta _{8}-\beta _{10}+\beta _{12}+\cdots)q^{2}+\cdots$
3812.1.p.a	$3812$	$1$	3812.p	3812.p	$34$	$16$	$1$	$1.902$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q+\zeta_{34}^{16}q^{2}-\zeta_{34}^{15}q^{4}+(-\zeta_{34}+\cdots)q^{5}+\cdots$
3959.1.d.e	$3959$	$1$	3959.d	3959.d	$2$	$16$	$16$	$1.976$	$\Q(\zeta_{68})^+$	$D_{34}$	$\Q(\sqrt{-3959}) $	None	✓	$4$	$0$	$0$	$2$	$0$	$0$	$1$		$q+\beta _{13}q^{2}-\beta _{4}q^{3}+(1-\beta _{8})q^{4}+\beta _{7}q^{5}+\cdots$

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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.