Elliptic curves over $\Q$ of conductor 3744

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
3744.a1	3744d1	3744.a	3744d	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{14} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$312$	$48$	$0$	$1$	$1$		$1$	$6144$	$1.241102$	$42246001231552/14414517$	$1.03313$	$5.11978$	$[0, 0, 0, -26121, -1624444]$	\(y^2=x^3-26121x-1624444\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
3744.a2	3744d2	3744.a	3744d	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{10} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$312$	$48$	$0$	$1$	$1$		$1$	$12288$	$1.587675$	$-420526439488/390971529$	$1.02537$	$5.18142$	$[0, 0, 0, -22476, -2093920]$	\(y^2=x^3-22476x-2093920\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 52.12.0.d.1, 104.24.0.?, $\ldots$	$[]$
3744.b1	3744j2	3744.b	3744j	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$2.019894798$	$1$		$5$	$1536$	$0.630417$	$8489664/13$	$0.88110$	$4.15168$	$[0, 0, 0, -1836, 30240]$	\(y^2=x^3-1836x+30240\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(28, 28)]$
3744.b2	3744j1	3744.b	3744j	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.009947399$	$1$		$5$	$768$	$0.283843$	$-46656/169$	$0.83745$	$3.25468$	$[0, 0, 0, -81, 756]$	\(y^2=x^3-81x+756\)	2.3.0.a.1, 6.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[(1, 26)]$
3744.c1	3744b2	3744.c	3744b	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1536$	$0.630417$	$8489664/13$	$0.88110$	$4.15168$	$[0, 0, 0, -1836, -30240]$	\(y^2=x^3-1836x-30240\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[]$
3744.c2	3744b1	3744.c	3744b	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$768$	$0.283843$	$-46656/169$	$0.83745$	$3.25468$	$[0, 0, 0, -81, -756]$	\(y^2=x^3-81x-756\)	2.3.0.a.1, 6.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[]$
3744.d1	3744l1	3744.d	3744l	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{14} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$312$	$48$	$0$	$1.893401607$	$1$		$5$	$6144$	$1.241102$	$42246001231552/14414517$	$1.03313$	$5.11978$	$[0, 0, 0, -26121, 1624444]$	\(y^2=x^3-26121x+1624444\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[(95, 18)]$
3744.d2	3744l2	3744.d	3744l	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{10} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$312$	$48$	$0$	$3.786803215$	$1$		$5$	$12288$	$1.587675$	$-420526439488/390971529$	$1.02537$	$5.18142$	$[0, 0, 0, -22476, 2093920]$	\(y^2=x^3-22476x+2093920\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 52.12.0.d.1, 104.24.0.?, $\ldots$	$[(-148, 1476)]$
3744.e1	3744g1	3744.e	3744g	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{6} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$1.439698300$	$1$		$4$	$480$	$-0.038107$	$-8/13$	$0.95359$	$2.77714$	$[0, 0, 0, -3, -106]$	\(y^2=x^3-3x-106\)	104.2.0.?	$[(5, 2)]$
3744.f1	3744o1	3744.f	3744o	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{6} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$1$	$1$		$0$	$480$	$-0.038107$	$-8/13$	$0.95359$	$2.77714$	$[0, 0, 0, -3, 106]$	\(y^2=x^3-3x+106\)	104.2.0.?	$[]$
3744.g1	3744f2	3744.g	3744f	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.639456330$	$1$		$9$	$1024$	$0.453992$	$1000000/507$	$1.15454$	$3.49116$	$[0, 0, 0, -300, 704]$	\(y^2=x^3-300x+704\)	2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.?	$[(-2, 36)]$
3744.g2	3744f1	3744.g	3744f	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.278912661$	$1$		$5$	$512$	$0.107418$	$10648000/117$	$0.92625$	$3.27318$	$[0, 0, 0, -165, -808]$	\(y^2=x^3-165x-808\)	2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.?	$[(-7, 2)]$
3744.h1	3744n2	3744.h	3744n	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{11} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$5120$	$1.066118$	$61162984000/41067$	$1.09900$	$4.83066$	$[0, 0, 0, -11820, -494336]$	\(y^2=x^3-11820x-494336\)	2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.?	$[]$
3744.h2	3744n1	3744.h	3744n	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{16} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$2560$	$0.719544$	$1643032000/767637$	$1.13905$	$3.88560$	$[0, 0, 0, -885, -4448]$	\(y^2=x^3-885x-4448\)	2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.?	$[]$
3744.i1	3744m2	3744.i	3744m	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{11} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$5120$	$1.066118$	$61162984000/41067$	$1.09900$	$4.83066$	$[0, 0, 0, -11820, 494336]$	\(y^2=x^3-11820x+494336\)	2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.?	$[]$
3744.i2	3744m1	3744.i	3744m	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{16} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$2560$	$0.719544$	$1643032000/767637$	$1.13905$	$3.88560$	$[0, 0, 0, -885, 4448]$	\(y^2=x^3-885x+4448\)	2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.?	$[]$
3744.j1	3744e2	3744.j	3744e	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.388376545$	$1$		$9$	$1024$	$0.453992$	$1000000/507$	$1.15454$	$3.49116$	$[0, 0, 0, -300, -704]$	\(y^2=x^3-300x-704\)	2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.?	$[(-10, 36)]$
3744.j2	3744e1	3744.j	3744e	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.776753090$	$1$		$7$	$512$	$0.107418$	$10648000/117$	$0.92625$	$3.27318$	$[0, 0, 0, -165, 808]$	\(y^2=x^3-165x+808\)	2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.?	$[(11, 18)]$
3744.k1	3744k1	3744.k	3744k	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$104$	$48$	$0$	$0.964041222$	$1$		$5$	$1024$	$0.191008$	$5088448/1053$	$0.87842$	$3.18344$	$[0, 0, 0, -129, 452]$	\(y^2=x^3-129x+452\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[(1, 18)]$
3744.k2	3744k2	3744.k	3744k	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{8} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$104$	$48$	$0$	$1.928082444$	$1$		$5$	$2048$	$0.537581$	$778688/1521$	$0.89008$	$3.56590$	$[0, 0, 0, 276, 2720]$	\(y^2=x^3+276x+2720\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 52.12.0.d.1, 104.48.0.?	$[(5, 65)]$
3744.l1	3744h3	3744.l	3744h	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{9} \cdot 13 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$312$	$48$	$0$	$5.756378359$	$1$		$5$	$6144$	$1.062023$	$11339065490696/351$	$1.01108$	$5.21266$	$[0, 0, 0, -33699, 2381078]$	\(y^2=x^3-33699x+2381078\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 104.24.0.?, 312.48.0.?	$[(1006, 31410)]$
3744.l2	3744h2	3744.l	3744h	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$312$	$48$	$0$	$1.439094589$	$1$		$5$	$6144$	$1.062023$	$1360251712/771147$	$1.06942$	$4.36811$	$[0, 0, 0, -3324, -10528]$	\(y^2=x^3-3324x-10528\)	2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 104.24.0.?, 312.48.0.?	$[(-4, 52)]$
3744.l3	3744h1	3744.l	3744h	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{12} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$312$	$48$	$0$	$2.878189179$	$1$		$7$	$3072$	$0.715449$	$22235451328/123201$	$1.06662$	$4.20222$	$[0, 0, 0, -2109, 37100]$	\(y^2=x^3-2109x+37100\)	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 104.24.0.?, 312.48.0.?	$[(-47, 180)]$
3744.l4	3744h4	3744.l	3744h	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{18} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$312$	$48$	$0$	$5.756378359$	$1$		$1$	$6144$	$1.062023$	$-245314376/6908733$	$1.10902$	$4.38184$	$[0, 0, 0, -939, 78050]$	\(y^2=x^3-939x+78050\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$	$[(-175/2, 1505/2)]$
3744.m1	3744i2	3744.m	3744i	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.464382811$	$1$		$5$	$512$	$0.081110$	$8489664/13$	$0.88110$	$3.35054$	$[0, 0, 0, -204, 1120]$	\(y^2=x^3-204x+1120\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[(5, 15)]$
3744.m2	3744i1	3744.m	3744i	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.732191405$	$1$		$7$	$256$	$-0.265463$	$-46656/169$	$0.83745$	$2.45355$	$[0, 0, 0, -9, 28]$	\(y^2=x^3-9x+28\)	2.3.0.a.1, 6.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[(-1, 6)]$
3744.n1	3744a2	3744.n	3744a	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$512$	$0.081110$	$8489664/13$	$0.88110$	$3.35054$	$[0, 0, 0, -204, -1120]$	\(y^2=x^3-204x-1120\)	2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.?	$[]$
3744.n2	3744a1	3744.n	3744a	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$256$	$-0.265463$	$-46656/169$	$0.83745$	$2.45355$	$[0, 0, 0, -9, -28]$	\(y^2=x^3-9x-28\)	2.3.0.a.1, 6.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[]$
3744.o1	3744p2	3744.o	3744p	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$312$	$48$	$0$	$1$	$16$	$2$	$1$	$6144$	$1.062023$	$11339065490696/351$	$1.01108$	$5.21266$	$[0, 0, 0, -33699, -2381078]$	\(y^2=x^3-33699x-2381078\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 104.24.0.?, 312.48.0.?	$[]$
3744.o2	3744p3	3744.o	3744p	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 13^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$312$	$48$	$0$	$1$	$1$		$3$	$6144$	$1.062023$	$1360251712/771147$	$1.06942$	$4.36811$	$[0, 0, 0, -3324, 10528]$	\(y^2=x^3-3324x+10528\)	2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.?	$[]$
3744.o3	3744p1	3744.o	3744p	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{12} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$312$	$48$	$0$	$1$	$4$	$2$	$3$	$3072$	$0.715449$	$22235451328/123201$	$1.06662$	$4.20222$	$[0, 0, 0, -2109, -37100]$	\(y^2=x^3-2109x-37100\)	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 104.24.0.?, 312.48.0.?	$[]$
3744.o4	3744p4	3744.o	3744p	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{18} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$312$	$48$	$0$	$1$	$4$	$2$	$1$	$6144$	$1.062023$	$-245314376/6908733$	$1.10902$	$4.38184$	$[0, 0, 0, -939, -78050]$	\(y^2=x^3-939x-78050\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$	$[]$
3744.p1	3744c1	3744.p	3744c	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{10} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$104$	$48$	$0$	$1$	$1$		$1$	$1024$	$0.191008$	$5088448/1053$	$0.87842$	$3.18344$	$[0, 0, 0, -129, -452]$	\(y^2=x^3-129x-452\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[]$
3744.p2	3744c2	3744.p	3744c	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{8} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$104$	$48$	$0$	$1$	$1$		$1$	$2048$	$0.537581$	$778688/1521$	$0.89008$	$3.56590$	$[0, 0, 0, 276, -2720]$	\(y^2=x^3+276x-2720\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 52.12.0.d.1, 104.48.0.?	$[]$

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