Elliptic curves over $\Q$ of conductor 3192

Results (44 matches)

 

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	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
3192.a1	3192m1	3192.a	3192m	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{5} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8.062816970$	$1$		$3$	$11520$	$1.347422$	$8334147900493981696/232793757$	$[0, -1, 0, -106435, -13329764]$	\(y^2=x^3-x^2-106435x-13329764\)
3192.a2	3192m2	3192.a	3192m	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{8} \cdot 3^{3} \cdot 7^{10} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4.031408485$	$1$		$5$	$23040$	$1.693995$	$-518904725785387216/2753286252003$	$[0, -1, 0, -106300, -13365404]$	\(y^2=x^3-x^2-106300x-13365404\)
3192.b1	3192c3	3192.b	3192c	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{4} \cdot 7^{3} \cdot 19^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1$	$1$		$3$	$24576$	$1.814154$	$22501000029889239268/3620708343$	$[0, -1, 0, -592824, 175883580]$	\(y^2=x^3-x^2-592824x+175883580\)
3192.b2	3192c2	3192.b	3192c	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{8} \cdot 7^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1$	$1$		$3$	$12288$	$1.467581$	$22174957026242512/278654127129$	$[0, -1, 0, -37164, 2739924]$	\(y^2=x^3-x^2-37164x+2739924\)
3192.b3	3192c4	3192.b	3192c	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{4} \cdot 7^{12} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1$	$1$		$1$	$24576$	$1.814154$	$-28104147578308/21301741002339$	$[0, -1, 0, -6384, 7110684]$	\(y^2=x^3-x^2-6384x+7110684\)
3192.b4	3192c1	3192.b	3192c	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{16} \cdot 7^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1$	$1$		$1$	$6144$	$1.121006$	$572616640141312/280535480757$	$[0, -1, 0, -4359, -41940]$	\(y^2=x^3-x^2-4359x-41940\)
3192.c1	3192b3	3192.c	3192b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{12} \cdot 7^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1$	$1$		$1$	$6144$	$1.192797$	$877592260337188/494771571$	$[0, -1, 0, -20104, -1089956]$	\(y^2=x^3-x^2-20104x-1089956\)
3192.c2	3192b4	3192.c	3192b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{3} \cdot 7^{8} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1$	$1$		$1$	$6144$	$1.192797$	$174947951977348/2957342913$	$[0, -1, 0, -11744, 486588]$	\(y^2=x^3-x^2-11744x+486588\)
3192.c3	3192b2	3192.c	3192b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{6} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1$	$1$		$3$	$3072$	$0.846224$	$1412791482832/631868769$	$[0, -1, 0, -1484, -9996]$	\(y^2=x^3-x^2-1484x-9996\)
3192.c4	3192b1	3192.c	3192b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{3} \cdot 7^{2} \cdot 19^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1$	$1$		$3$	$1536$	$0.499650$	$227910944768/172414683$	$[0, -1, 0, 321, -1332]$	\(y^2=x^3-x^2+321x-1332\)
3192.d1	3192n3	3192.d	3192n	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{11} \cdot 3 \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$6.356103819$	$4$	$2$	$3$	$3072$	$0.832353$	$266442869452034/399$	$[0, -1, 0, -17024, -849300]$	\(y^2=x^3-x^2-17024x-849300\)
3192.d2	3192n2	3192.d	3192n	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$3.178051909$	$1$		$7$	$1536$	$0.485779$	$130213720228/159201$	$[0, -1, 0, -1064, -12996]$	\(y^2=x^3-x^2-1064x-12996\)
3192.d3	3192n4	3192.d	3192n	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{11} \cdot 3^{4} \cdot 7 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$6.356103819$	$1$		$1$	$3072$	$0.832353$	$-26055281954/73892007$	$[0, -1, 0, -784, -20276]$	\(y^2=x^3-x^2-784x-20276\)
3192.d4	3192n1	3192.d	3192n	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3 \cdot 7^{4} \cdot 19 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1.589025954$	$1$		$9$	$768$	$0.139206$	$259108432/136857$	$[0, -1, 0, -84, -60]$	\(y^2=x^3-x^2-84x-60\)
3192.e1	3192k1	3192.e	3192k	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.733472560$	$1$		$5$	$256$	$-0.293760$	$562432000/1197$	$[0, -1, 0, -43, 124]$	\(y^2=x^3-x^2-43x+124\)
3192.e2	3192k2	3192.e	3192k	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{8} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.366736280$	$1$		$9$	$512$	$0.052814$	$-9826000/53067$	$[0, -1, 0, -28, 196]$	\(y^2=x^3-x^2-28x+196\)
3192.f1	3192e2	3192.f	3192e	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{2} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3.199337212$	$1$		$3$	$768$	$0.226142$	$153531250000/1197$	$[0, -1, 0, -708, -7020]$	\(y^2=x^3-x^2-708x-7020\)
3192.f2	3192e1	3192.f	3192e	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.599668606$	$1$		$5$	$384$	$-0.120432$	$-562432000/53067$	$[0, -1, 0, -43, -104]$	\(y^2=x^3-x^2-43x-104\)
3192.g1	3192d2	3192.g	3192d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{10} \cdot 7^{5} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.590819039$	$1$		$7$	$19200$	$1.846922$	$5042558062190438500/358269592023$	$[0, -1, 0, -360088, 83283964]$	\(y^2=x^3-x^2-360088x+83283964\)
3192.g2	3192d1	3192.g	3192d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{5} \cdot 7^{10} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.181638078$	$1$		$7$	$9600$	$1.500349$	$5933482010818000/1304188224633$	$[0, -1, 0, -23948, 1131348]$	\(y^2=x^3-x^2-23948x+1131348\)
3192.h1	3192j3	3192.h	3192j	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{11} \cdot 3 \cdot 7^{8} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.102	2B	$1$	$4$	$2$	$1$	$5120$	$0.988599$	$1823652903746/328593657$	$[0, -1, 0, -3232, -57620]$	\(y^2=x^3-x^2-3232x-57620\)
3192.h2	3192j2	3192.h	3192j	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{2} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.4	2Cs	$1$	$1$		$3$	$2560$	$0.642025$	$93280467172/7800849$	$[0, -1, 0, -952, 10780]$	\(y^2=x^3-x^2-952x+10780\)
3192.h3	3192j1	3192.h	3192j	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3 \cdot 7^{2} \cdot 19 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.53	2B	$1$	$1$		$3$	$1280$	$0.295452$	$350104249168/2793$	$[0, -1, 0, -932, 11268]$	\(y^2=x^3-x^2-932x+11268\)
3192.h4	3192j4	3192.h	3192j	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{11} \cdot 3^{4} \cdot 7^{2} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.59	2B	$1$	$1$		$1$	$5120$	$0.988599$	$55251546334/517244049$	$[0, -1, 0, 1008, 47628]$	\(y^2=x^3-x^2+1008x+47628\)
3192.i1	3192a3	3192.i	3192a	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3 \cdot 7^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$1$	$2048$	$0.501193$	$202119559492/136857$	$[0, -1, 0, -1232, 17052]$	\(y^2=x^3-x^2-1232x+17052\)
3192.i2	3192a2	3192.i	3192a	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1$	$1$		$3$	$1024$	$0.154619$	$340062928/159201$	$[0, -1, 0, -92, 180]$	\(y^2=x^3-x^2-92x+180\)
3192.i3	3192a1	3192.i	3192a	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{4} \cdot 7 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$1$	$512$	$-0.191954$	$733001728/10773$	$[0, -1, 0, -47, -108]$	\(y^2=x^3-x^2-47x-108\)
3192.i4	3192a4	3192.i	3192a	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3 \cdot 7 \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1$	$1$		$1$	$2048$	$0.501193$	$3799448348/2736741$	$[0, -1, 0, 328, 1020]$	\(y^2=x^3-x^2+328x+1020\)
3192.j1	3192l1	3192.j	3192l	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{3} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.585334461$	$1$		$5$	$1152$	$0.171567$	$381775972/25137$	$[0, -1, 0, -152, 732]$	\(y^2=x^3-x^2-152x+732\)
3192.j2	3192l2	3192.j	3192l	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{11} \cdot 3^{6} \cdot 7 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3.170668923$	$1$		$3$	$2304$	$0.518141$	$112363774/1842183$	$[0, -1, 0, 128, 2860]$	\(y^2=x^3-x^2+128x+2860\)
3192.k1	3192o1	3192.k	3192o	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.540197936$	$1$		$7$	$768$	$-0.108284$	$304900096/96957$	$[0, 1, 0, -35, -66]$	\(y^2=x^3+x^2-35x-66\)
3192.k2	3192o2	3192.k	3192o	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.270098968$	$1$		$11$	$1536$	$0.238290$	$427694384/477603$	$[0, 1, 0, 100, -336]$	\(y^2=x^3+x^2+100x-336\)
3192.l1	3192p2	3192.l	3192p	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{6} \cdot 7 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.465661441$	$1$		$7$	$2304$	$0.471786$	$3550014724/1842183$	$[0, 1, 0, -320, -816]$	\(y^2=x^3+x^2-320x-816\)
3192.l2	3192p1	3192.l	3192p	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.232830720$	$1$		$13$	$1152$	$0.125212$	$2533446736/25137$	$[0, 1, 0, -180, 864]$	\(y^2=x^3+x^2-180x+864\)
3192.m1	3192i4	3192.m	3192i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{8} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$0.591271946$	$1$		$7$	$2048$	$0.688757$	$2538016415428/872613$	$[0, 1, 0, -2864, 58032]$	\(y^2=x^3+x^2-2864x+58032\)
3192.m2	3192i3	3192.m	3192i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{2} \cdot 7 \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$2.365087787$	$1$		$3$	$2048$	$0.688757$	$339112345828/8210223$	$[0, 1, 0, -1464, -21600]$	\(y^2=x^3+x^2-1464x-21600\)
3192.m3	3192i2	3192.m	3192i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{4} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1.182543893$	$1$		$9$	$1024$	$0.342184$	$3685542352/1432809$	$[0, 1, 0, -204, 576]$	\(y^2=x^3+x^2-204x+576\)
3192.m4	3192i1	3192.m	3192i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{2} \cdot 7^{4} \cdot 19 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2.365087787$	$1$		$7$	$512$	$-0.004390$	$464857088/410571$	$[0, 1, 0, 41, 86]$	\(y^2=x^3+x^2+41x+86\)
3192.n1	3192f2	3192.n	3192f	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$768$	$0.176622$	$515150500/22743$	$[0, 1, 0, -168, -864]$	\(y^2=x^3+x^2-168x-864\)
3192.n2	3192f1	3192.n	3192f	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3 \cdot 7^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$384$	$-0.169951$	$9826000/2793$	$[0, 1, 0, -28, 32]$	\(y^2=x^3+x^2-28x+32\)
3192.o1	3192h2	3192.o	3192h	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{8} \cdot 3^{10} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.560528716$	$1$		$7$	$1280$	$0.531270$	$107165266000/7853517$	$[0, 1, 0, -628, 5456]$	\(y^2=x^3+x^2-628x+5456\)
3192.o2	3192h1	3192.o	3192h	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.280264358$	$1$		$9$	$640$	$0.184697$	$340736000/4298427$	$[0, 1, 0, 37, 402]$	\(y^2=x^3+x^2+37x+402\)
3192.p1	3192g1	3192.p	3192g	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{7} \cdot 7^{10} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.961188581$	$1$		$5$	$94080$	$2.550579$	$13141891860831409148932/4237307541832617$	$[0, 1, 0, -4955392, -4246324048]$	\(y^2=x^3+x^2-4955392x-4246324048\)
3192.p2	3192g2	3192.p	3192g	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{11} \cdot 3^{14} \cdot 7^{5} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3.922377163$	$1$		$3$	$188160$	$2.897152$	$-4242991426585187031506/3781894171664380023$	$[0, 1, 0, -4283112, -5439217680]$	\(y^2=x^3+x^2-4283112x-5439217680\)