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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 (1-50 of 66 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				Fricke sign	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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
763.1.b.a	$763$	$1$	763.b	763.b	$2$	$1$	$1$	$0.381$	$\Q$	$D_{2}$	$\Q(\sqrt{-7}) $, $\Q(\sqrt{-763}) $	$\Q(\sqrt{109}) $	✓	$4$	$0$	$0$	$0$	$0$	$-1$		$1$		$q+q^{4}-q^{7}+q^{9}+q^{16}+q^{25}-q^{28}+\cdots$
763.1.l.a	$763$	$1$	763.l	763.l	$6$	$2$	$1$	$0.381$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$1$		$1$		$q+(-\zeta_{6}-\zeta_{6}^{2})q^{2}+(-1-\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{4}+\cdots$
763.1.v.a	$763$	$1$	763.v	763.v	$6$	$2$	$1$	$0.381$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-2$	$0$	$0$	$-1$		$1$		$q-q^{2}+\zeta_{6}^{2}q^{7}+q^{8}-\zeta_{6}q^{9}-\zeta_{6}q^{11}+\cdots$
763.1.bk.a	$763$	$1$	763.bk	763.ak	$18$	$6$	$1$	$0.381$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(\zeta_{18}^{2}+\zeta_{18}^{4})q^{2}+(\zeta_{18}^{4}+\zeta_{18}^{6}+\cdots)q^{4}+\cdots$
763.1.bm.a	$763$	$1$	763.bm	763.am	$18$	$6$	$1$	$0.381$	$\Q(\zeta_{18})$	$D_{18}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(\zeta_{18}^{2}-\zeta_{18}^{4})q^{2}+(\zeta_{18}^{4}-\zeta_{18}^{6}+\cdots)q^{4}+\cdots$
763.1.bz.a	$763$	$1$	763.bz	763.az	$54$	$18$	$1$	$0.381$	$\Q(\zeta_{54})$	$D_{27}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(\zeta_{54}^{2}+\zeta_{54}^{22})q^{2}+(\zeta_{54}^{4}-\zeta_{54}^{17}+\cdots)q^{4}+\cdots$
763.1.ch.a	$763$	$1$	763.ch	763.bh	$54$	$18$	$1$	$0.381$	$\Q(\zeta_{54})$	$D_{54}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(-\zeta_{54}^{17}+\zeta_{54}^{25})q^{2}+(-\zeta_{54}^{7}+\cdots)q^{4}+\cdots$
763.2.a.a	$763$	$2$	763.a	1.a	$1$	$1$	$1$	$6.093$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-2$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{7}-3q^{9}-2q^{11}+\cdots$
763.2.a.b	$763$	$2$	763.a	1.a	$1$	$10$	$10$	$6.093$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	$_{}$	None	None	✓	$1$	$1$	$-5$	$-2$	$-10$	$10$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}-\beta _{8}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$
763.2.a.c	$763$	$2$	763.a	1.a	$1$	$13$	$13$	$6.093$	$\mathbb{Q}[x]/(x^{13} - \cdots)$	$_{}$	None	None	✓	$1$	$1$	$-3$	$-6$	$-14$	$-13$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots$
763.2.a.d	$763$	$2$	763.a	1.a	$1$	$14$	$14$	$6.093$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$4$	$2$	$14$	$-14$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{11}q^{3}+(1+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots$
763.2.a.e	$763$	$2$	763.a	1.a	$1$	$17$	$17$	$6.093$	$\mathbb{Q}[x]/(x^{17} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$7$	$2$	$12$	$17$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-\beta _{14}q^{3}+(1+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots$
763.2.c.a	$763$	$2$	763.c	109.b	$2$	$26$	$26$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-6$	$26$			$\mathrm{SU}(2)[C_{2}]$
763.2.c.b	$763$	$2$	763.c	109.b	$2$	$28$	$28$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$0$	$2$	$-28$			$\mathrm{SU}(2)[C_{2}]$
763.2.e.a	$763$	$2$	763.e	7.c	$3$	$72$	$36$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$-12$	$-15$	$-3$			$\mathrm{SU}(2)[C_{3}]$
763.2.e.b	$763$	$2$	763.e	7.c	$3$	$72$	$36$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$12$	$17$	$-3$			$\mathrm{SU}(2)[C_{3}]$
763.2.f.a	$763$	$2$	763.f	763.f	$3$	$144$	$72$	$6.093$		$_{}$	None	None		$2$	$0$	$-3$	$3$	$-10$	$0$			$\mathrm{SU}(2)[C_{3}]$
763.2.g.a	$763$	$2$	763.g	763.g	$3$	$144$	$72$	$6.093$		$_{}$	None	None		$2$	$0$	$-3$	$-6$	$5$	$-3$			$\mathrm{SU}(2)[C_{3}]$
763.2.h.a	$763$	$2$	763.h	109.c	$3$	$54$	$27$	$6.093$		$_{}$	None	None		$2$	$0$	$2$	$1$	$0$	$27$			$\mathrm{SU}(2)[C_{3}]$
763.2.h.b	$763$	$2$	763.h	109.c	$3$	$58$	$29$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$-1$	$-8$	$-29$			$\mathrm{SU}(2)[C_{3}]$
763.2.i.a	$763$	$2$	763.i	763.i	$4$	$4$	$2$	$6.093$	$\Q(i, \sqrt{7})$	$_{}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$2$	$0$	$0$	$0$		$2$	$\mathrm{U}(1)[D_{4}]$	$q+(1-\beta _{1}+\beta _{2})q^{2}+(1-\beta _{1}+2\beta _{2}+\cdots)q^{4}+\cdots$
763.2.i.b	$763$	$2$	763.i	763.i	$4$	$136$	$68$	$6.093$		$_{}$	None	None		$4$	$0$	$-8$	$0$	$0$	$8$			$\mathrm{SU}(2)[C_{4}]$
763.2.k.a	$763$	$2$	763.k	109.e	$6$	$52$	$26$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$3$	$6$	$-26$			$\mathrm{SU}(2)[C_{6}]$
763.2.k.b	$763$	$2$	763.k	109.e	$6$	$56$	$28$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$-3$	$-2$	$28$			$\mathrm{SU}(2)[C_{6}]$
763.2.q.a	$763$	$2$	763.q	763.q	$6$	$144$	$72$	$6.093$		$_{}$	None	None		$4$	$0$	$0$	$-4$	$-6$	$-6$			$\mathrm{SU}(2)[C_{6}]$
763.2.r.a	$763$	$2$	763.r	763.r	$6$	$144$	$72$	$6.093$		$_{}$	None	None		$2$	$0$	$3$	$-1$	$6$	$0$			$\mathrm{SU}(2)[C_{6}]$
763.2.u.a	$763$	$2$	763.u	763.u	$6$	$144$	$72$	$6.093$		$_{}$	None	None		$2$	$0$	$-3$	$2$	$-3$	$-3$			$\mathrm{SU}(2)[C_{6}]$
763.2.w.a	$763$	$2$	763.w	109.f	$9$	$162$	$27$	$6.093$		$_{}$	None	None		$2$	$0$	$-3$	$3$	$0$	$0$			$\mathrm{SU}(2)[C_{9}]$
763.2.w.b	$763$	$2$	763.w	109.f	$9$	$174$	$29$	$6.093$		$_{}$	None	None		$2$	$0$	$-3$	$-3$	$0$	$0$			$\mathrm{SU}(2)[C_{9}]$
763.2.x.a	$763$	$2$	763.x	763.x	$9$	$432$	$72$	$6.093$		$_{}$	None	None		$2$	$0$	$3$	$-3$	$-3$	$-9$			$\mathrm{SU}(2)[C_{9}]$
763.2.y.a	$763$	$2$	763.y	763.y	$9$	$432$	$72$	$6.093$		$_{}$	None	None		$2$	$0$	$-6$	$-3$	$-3$	$0$			$\mathrm{SU}(2)[C_{9}]$
763.2.z.a	$763$	$2$	763.z	763.z	$12$	$288$	$72$	$6.093$		$_{}$	None	None		$2$	$0$	$-6$	$0$	$-6$	$2$			$\mathrm{SU}(2)[C_{12}]$
763.2.bd.a	$763$	$2$	763.bd	763.ad	$12$	$8$	$2$	$6.093$	8.0.49787136.1	$_{}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-2$	$0$	$0$	$0$		$1$	$\mathrm{U}(1)[D_{12}]$	$q+(-\beta _{1}-\beta _{2}+\beta _{6})q^{2}+(-1+3\beta _{4}+\cdots)q^{4}+\cdots$
763.2.bd.b	$763$	$2$	763.bd	763.ad	$12$	$272$	$68$	$6.093$		$_{}$	None	None		$4$	$0$	$-4$	$0$	$0$	$4$			$\mathrm{SU}(2)[C_{12}]$
763.2.be.a	$763$	$2$	763.be	763.ae	$12$	$288$	$72$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$-6$	$0$	$-4$			$\mathrm{SU}(2)[C_{12}]$
763.2.bf.a	$763$	$2$	763.bf	763.af	$12$	$4$	$1$	$6.093$	$\Q(\zeta_{12})$	$_{}$	None	None		$4$	$0$	$0$	$6$	$12$	$-8$		$1$	$\mathrm{SU}(2)[C_{12}]$	$q+(1+\zeta_{12}^{2})q^{3}+2\zeta_{12}q^{4}+(4-2\zeta_{12}^{2}+\cdots)q^{5}+\cdots$
763.2.bf.b	$763$	$2$	763.bf	763.af	$12$	$284$	$71$	$6.093$		$_{}$	None	None		$4$	$0$	$0$	$-18$	$-24$	$4$			$\mathrm{SU}(2)[C_{12}]$
763.2.bi.a	$763$	$2$	763.bi	763.ai	$18$	$432$	$72$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$-3$	$-3$	$0$			$\mathrm{SU}(2)[C_{18}]$
763.2.bl.a	$763$	$2$	763.bl	763.al	$18$	$432$	$72$	$6.093$		$_{}$	None	None		$2$	$0$	$-9$	$-3$	$-3$	$-9$			$\mathrm{SU}(2)[C_{18}]$
763.2.bn.a	$763$	$2$	763.bn	109.h	$18$	$6$	$1$	$6.093$	$\Q(\zeta_{18})$	$_{}$	None	None		$2$	$0$	$0$	$6$	$-3$	$0$		$1$	$\mathrm{SU}(2)[C_{18}]$	$q+(\zeta_{18}+\zeta_{18}^{2})q^{2}+(1+\zeta_{18}-\zeta_{18}^{4}+\cdots)q^{3}+\cdots$
763.2.bn.b	$763$	$2$	763.bn	109.h	$18$	$150$	$25$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$-9$	$3$	$0$			$\mathrm{SU}(2)[C_{18}]$
763.2.bn.c	$763$	$2$	763.bn	109.h	$18$	$168$	$28$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$3$	$0$	$0$			$\mathrm{SU}(2)[C_{18}]$
763.2.bq.a	$763$	$2$	763.bq	763.aq	$27$	$1278$	$71$	$6.093$		$_{}$	None	None		$2$	$0$	$-9$	$-9$	$-9$	$-18$			$\mathrm{SU}(2)[C_{27}]$
763.2.br.a	$763$	$2$	763.br	763.ar	$27$	$1278$	$71$	$6.093$		$_{}$	None	None		$2$	$0$	$-9$	$-9$	$-9$	$-18$			$\mathrm{SU}(2)[C_{27}]$
763.2.bs.a	$763$	$2$	763.bs	109.i	$27$	$486$	$27$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{27}]$
763.2.bs.b	$763$	$2$	763.bs	109.i	$27$	$522$	$29$	$6.093$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{27}]$
763.2.bu.a	$763$	$2$	763.bu	763.au	$36$	$864$	$72$	$6.093$		$_{}$	None	None		$2$	$0$	$-6$	$-18$	$-18$	$-24$			$\mathrm{SU}(2)[C_{36}]$
763.2.bx.a	$763$	$2$	763.bx	763.ax	$36$	$24$	$2$	$6.093$		$_{}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{U}(1)[D_{36}]$
763.2.bx.b	$763$	$2$	763.bx	763.ax	$36$	$816$	$68$	$6.093$		$_{}$	None	None		$4$	$0$	$-24$	$0$	$0$	$-30$			$\mathrm{SU}(2)[C_{36}]$
763.2.by.a	$763$	$2$	763.by	763.ay	$36$	$864$	$72$	$6.093$		$_{}$	None	None		$2$	$0$	$-6$	$-18$	$-18$	$-6$			$\mathrm{SU}(2)[C_{36}]$

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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.