Elliptic curves over $\Q$ of conductor 19536

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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
19536.a1	19536d2	19536.a	19536d	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$0.572445085$	$1$		$27$	$15360$	$0.395828$	$55365148804/40293$	$1.17863$	$3.20533$	$[0, -1, 0, -800, 8976]$	\(y^2=x^3-x^2-800x+8976\)	2.3.0.a.1, 74.6.0.?, 132.6.0.?, 4884.12.0.?	$[(20, 24), (16, 4)]$
19536.a2	19536d1	19536.a	19536d	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3 \cdot 11 \cdot 37^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.289780341$	$1$		$11$	$7680$	$0.049254$	$94875856/45177$	$0.85119$	$2.42037$	$[0, -1, 0, -60, 96]$	\(y^2=x^3-x^2-60x+96\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[(8, 8), (-4, 16)]$
19536.b1	19536f2	19536.b	19536f	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{4} \cdot 11^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$0.976934598$	$1$		$5$	$4096$	$0.246523$	$1917170512/362637$	$0.80512$	$2.72462$	$[0, -1, 0, -164, 720]$	\(y^2=x^3-x^2-164x+720\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(-4, 36)]$
19536.b2	19536f1	19536.b	19536f	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{4} \cdot 3^{2} \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1.953869196$	$1$		$3$	$2048$	$-0.100051$	$61011968/135531$	$0.81077$	$2.20065$	$[0, -1, 0, 21, 54]$	\(y^2=x^3-x^2+21x+54\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[(2, 10)]$
19536.c1	19536g3	19536.c	19536g	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{2} \cdot 11^{3} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$3256$	$48$	$0$	$14.98700085$	$1$		$1$	$208896$	$2.221619$	$91299169320689012753668/443223$	$1.09980$	$6.05261$	$[0, -1, 0, -9455424, -11187867600]$	\(y^2=x^3-x^2-9455424x-11187867600\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$	$[(12828925/42, 40893063695/42)]$
19536.c2	19536g4	19536.c	19536g	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{2} \cdot 11^{12} \cdot 37 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3256$	$48$	$0$	$3.746750214$	$1$		$5$	$208896$	$2.221619$	$23051997945147370468/1045096649448093$	$0.98720$	$5.21414$	$[0, -1, 0, -597624, -170517312]$	\(y^2=x^3-x^2-597624x-170517312\)	2.3.0.a.1, 4.12.0-4.c.1.1, 74.6.0.?, 88.24.0.?, 148.24.0.?, $\ldots$	$[(1428, 43428)]$
19536.c3	19536g2	19536.c	19536g	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{4} \cdot 11^{6} \cdot 37^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1628$	$48$	$0$	$7.493500428$	$1$		$3$	$104448$	$1.875044$	$89159486481392095312/196446627729$	$0.98614$	$5.21074$	$[0, -1, 0, -590964, -174662496]$	\(y^2=x^3-x^2-590964x-174662496\)	2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.b.1.2, 148.24.0.?, 1628.48.0.?	$[(57768/7, 9492120/7)]$
19536.c4	19536g1	19536.c	19536g	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{4} \cdot 3^{8} \cdot 11^{3} \cdot 37^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3256$	$48$	$0$	$3.746750214$	$1$		$1$	$52224$	$1.528469$	$-336645064644892672/16366468897251$	$0.98448$	$4.37358$	$[0, -1, 0, -36519, -2784546]$	\(y^2=x^3-x^2-36519x-2784546\)	2.3.0.a.1, 4.12.0-4.c.1.2, 22.6.0.a.1, 44.24.0-44.g.1.1, 296.24.0.?, $\ldots$	$[(2146/3, 38258/3)]$
19536.d1	19536x2	19536.d	19536x	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{24} \cdot 3^{2} \cdot 11^{10} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$1013760$	$2.813740$	$60607987148648054544625/35377817158176768$	$1.01831$	$6.15146$	$[0, -1, 0, -13093488, -18222502464]$	\(y^2=x^3-x^2-13093488x-18222502464\)	2.3.0.a.1, 74.6.0.?, 132.6.0.?, 4884.12.0.?	$[ ]$
19536.d2	19536x1	19536.d	19536x	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{36} \cdot 3 \cdot 11^{5} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$506880$	$2.467167$	$24591016773082896625/11097062309363712$	$1.00898$	$5.36099$	$[0, -1, 0, -969328, -172053056]$	\(y^2=x^3-x^2-969328x-172053056\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[ ]$
19536.e1	19536s2	19536.e	19536s	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{12} \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$0.664855422$	$1$		$7$	$10240$	$0.651190$	$858729462625/40293$	$0.95566$	$3.62312$	$[0, -1, 0, -3168, 69696]$	\(y^2=x^3-x^2-3168x+69696\)	2.3.0.a.1, 74.6.0.?, 132.6.0.?, 4884.12.0.?	$[(32, 8)]$
19536.e2	19536s1	19536.e	19536s	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{12} \cdot 3 \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1.329710844$	$1$		$5$	$5120$	$0.304616$	$244140625/45177$	$1.14090$	$2.79666$	$[0, -1, 0, -208, 1024]$	\(y^2=x^3-x^2-208x+1024\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[(0, 32)]$
19536.f1	19536u2	19536.f	19536u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{18} \cdot 3 \cdot 11^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$27648$	$1.115177$	$115821777093625/31804608$	$0.93092$	$4.11951$	$[0, -1, 0, -16248, 802416]$	\(y^2=x^3-x^2-16248x+802416\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[ ]$
19536.f2	19536u1	19536.f	19536u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{24} \cdot 3^{2} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$13824$	$0.768604$	$-18927429625/15003648$	$0.87746$	$3.32433$	$[0, -1, 0, -888, 15984]$	\(y^2=x^3-x^2-888x+15984\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[ ]$
19536.g1	19536e2	19536.g	19536e	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{5} \cdot 11^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$4.332991854$	$1$		$3$	$15360$	$0.907636$	$13895296694500/40252707$	$0.90630$	$3.76457$	$[0, -1, 0, -5048, -136032]$	\(y^2=x^3-x^2-5048x-136032\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(886, 26270)]$
19536.g2	19536e1	19536.g	19536e	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{10} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$8.665983709$	$1$		$1$	$7680$	$0.561063$	$-2885794000/24032943$	$0.86944$	$3.04271$	$[0, -1, 0, -188, -3840]$	\(y^2=x^3-x^2-188x-3840\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(5541/5, 410664/5)]$
19536.h1	19536v1	19536.h	19536v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{18} \cdot 3^{11} \cdot 11 \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$304128$	$2.215038$	$5577108481460841625/233729407061568$	$0.98699$	$5.21082$	$[0, -1, 0, -591128, -168282384]$	\(y^2=x^3-x^2-591128x-168282384\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$
19536.h2	19536v2	19536.h	19536v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{15} \cdot 3^{22} \cdot 11^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$608256$	$2.561611$	$625234740274982375/41585929145369928$	$1.03171$	$5.46864$	$[0, -1, 0, 285032, -625287440]$	\(y^2=x^3-x^2+285032x-625287440\)	2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.?	$[ ]$
19536.i1	19536t4	19536.i	19536t	$4$	$6$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{2} \cdot 11^{2} \cdot 37^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4884$	$96$	$1$	$0.943447541$	$1$		$3$	$497664$	$2.450901$	$139545621883503188502625/220644468$	$1.06023$	$6.23587$	$[0, -1, 0, -17289568, 27676730368]$	\(y^2=x^3-x^2-17289568x+27676730368\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 74.6.0.?, $\ldots$	$[(2352, 4144)]$
19536.i2	19536t3	19536.i	19536t	$4$	$6$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{16} \cdot 3 \cdot 11 \cdot 37^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4884$	$96$	$1$	$1.886895083$	$1$		$3$	$248832$	$2.104328$	$34069730739753390625/1354703543952$	$1.02988$	$5.39399$	$[0, -1, 0, -1080608, 432710400]$	\(y^2=x^3-x^2-1080608x+432710400\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 66.24.0.b.1, $\ldots$	$[(613, 518)]$
19536.i3	19536t2	19536.i	19536t	$4$	$6$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{18} \cdot 3^{6} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4884$	$96$	$1$	$2.830342624$	$1$		$3$	$165888$	$1.901594$	$264788619837198625/3058196150592$	$1.02143$	$4.90237$	$[0, -1, 0, -214048, 37805824]$	\(y^2=x^3-x^2-214048x+37805824\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 74.6.0.?, $\ldots$	$[(240, 448)]$
19536.i4	19536t1	19536.i	19536t	$4$	$6$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{24} \cdot 3^{3} \cdot 11^{3} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4884$	$96$	$1$	$5.660685249$	$1$		$3$	$82944$	$1.555021$	$402355893390625/201513996288$	$1.01254$	$4.24555$	$[0, -1, 0, -24608, -536832]$	\(y^2=x^3-x^2-24608x-536832\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 66.24.0.b.1, $\ldots$	$[(1669, 67858)]$
19536.j1	19536a2	19536.j	19536a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{14} \cdot 11^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$43008$	$1.266077$	$73808262062500/21413352213$	$1.15864$	$3.93359$	$[0, -1, 0, -8808, -221760]$	\(y^2=x^3-x^2-8808x-221760\)	2.3.0.a.1, 74.6.0.?, 132.6.0.?, 4884.12.0.?	$[ ]$
19536.j2	19536a1	19536.j	19536a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{7} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$4$	$2$	$1$	$21504$	$0.919504$	$226900390642000/32934033$	$0.91666$	$3.90695$	$[0, -1, 0, -8068, -276224]$	\(y^2=x^3-x^2-8068x-276224\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[ ]$
19536.k1	19536w2	19536.k	19536w	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{12} \cdot 3^{10} \cdot 11^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$30720$	$1.033932$	$1791399948625/264362373$	$0.90531$	$3.69754$	$[0, -1, 0, -4048, -84224]$	\(y^2=x^3-x^2-4048x-84224\)	2.3.0.a.1, 74.6.0.?, 132.6.0.?, 4884.12.0.?	$[ ]$
19536.k2	19536w1	19536.k	19536w	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{12} \cdot 3^{5} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$15360$	$0.687359$	$34805634625/3659337$	$0.86913$	$3.29866$	$[0, -1, 0, -1088, 12864]$	\(y^2=x^3-x^2-1088x+12864\)	2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.?	$[ ]$
19536.l1	19536r1	19536.l	19536r	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 11^{4} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$3256$	$48$	$0$	$1$	$1$		$1$	$73728$	$1.372700$	$17453395699253248/4865706969453$	$0.99749$	$4.06587$	$[0, -1, 0, -13617, 444852]$	\(y^2=x^3-x^2-13617x+444852\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 88.12.0.?, 148.24.0.?, $\ldots$	$[ ]$
19536.l2	19536r2	19536.l	19536r	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{4} \cdot 11^{2} \cdot 37^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$3256$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.719275$	$19144301716363952/25146684534609$	$0.96435$	$4.38003$	$[0, -1, 0, 35388, 2875500]$	\(y^2=x^3-x^2+35388x+2875500\)	2.3.0.a.1, 4.6.0.a.1, 88.12.0.?, 148.12.0.?, 296.24.0.?, $\ldots$	$[ ]$
19536.m1	19536c1	19536.m	19536c	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{14} \cdot 11^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$9$	$3$	$1$	$1118208$	$2.693745$	$1418854149881269000523696128/21413352213$	$1.05574$	$6.60852$	$[0, -1, 0, -58989947, -174367746138]$	\(y^2=x^3-x^2-58989947x-174367746138\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$
19536.m2	19536c2	19536.m	19536c	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{28} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$9$	$3$	$1$	$2236416$	$3.040318$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.60852$	$[0, -1, 0, -58989892, -174368087600]$	\(y^2=x^3-x^2-58989892x-174368087600\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[ ]$
19536.n1	19536b1	19536.n	19536b	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$4096$	$-0.035664$	$8546879488/40293$	$0.84154$	$2.59528$	$[0, -1, 0, -107, 462]$	\(y^2=x^3-x^2-107x+462\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$
19536.n2	19536b2	19536.n	19536b	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{4} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$8192$	$0.310909$	$-61918288/1219779$	$0.84274$	$2.73714$	$[0, -1, 0, -52, 880]$	\(y^2=x^3-x^2-52x+880\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[ ]$
19536.o1	19536y4	19536.o	19536y	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{12} \cdot 3 \cdot 11^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9768$	$48$	$0$	$1$	$1$		$1$	$28672$	$0.938000$	$23239401850153/1625151$	$0.92014$	$3.95694$	$[0, -1, 0, -9512, 360240]$	\(y^2=x^3-x^2-9512x+360240\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 148.12.0.?, $\ldots$	$[ ]$
19536.o2	19536y3	19536.o	19536y	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{12} \cdot 3 \cdot 11 \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9768$	$48$	$0$	$1$	$1$		$1$	$28672$	$0.938000$	$946098541513/61847313$	$0.89763$	$3.63293$	$[0, -1, 0, -3272, -66768]$	\(y^2=x^3-x^2-3272x-66768\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 44.12.0-4.c.1.2, 66.6.0.a.1, $\ldots$	$[ ]$
19536.o3	19536y2	19536.o	19536y	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{12} \cdot 3^{2} \cdot 11^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$4884$	$48$	$0$	$1$	$1$		$3$	$14336$	$0.591427$	$6826561273/1490841$	$0.85664$	$3.13379$	$[0, -1, 0, -632, 5040]$	\(y^2=x^3-x^2-632x+5040\)	2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 132.24.0.?, 148.12.0.?, $\ldots$	$[ ]$
19536.o4	19536y1	19536.o	19536y	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{12} \cdot 3^{4} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9768$	$48$	$0$	$1$	$1$		$1$	$7168$	$0.244853$	$18191447/32967$	$0.80771$	$2.61043$	$[0, -1, 0, 88, 432]$	\(y^2=x^3-x^2+88x+432\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.1, 148.12.0.?, $\ldots$	$[ ]$
19536.p1	19536m2	19536.p	19536m	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{3} \cdot 11^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$0.629913277$	$1$		$7$	$15360$	$0.547273$	$9220796644/4472523$	$0.86736$	$3.02390$	$[0, 1, 0, -440, 1284]$	\(y^2=x^3+x^2-440x+1284\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(-8, 66)]$
19536.p2	19536m1	19536.p	19536m	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{6} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1.259826555$	$1$		$7$	$7680$	$0.200699$	$427694384/296703$	$0.81354$	$2.57278$	$[0, 1, 0, 100, 204]$	\(y^2=x^3+x^2+100x+204\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(7, 36)]$
19536.q1	19536ba1	19536.q	19536ba	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{19} \cdot 3^{4} \cdot 11 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3256$	$2$	$0$	$0.365008248$	$1$		$6$	$16128$	$0.652963$	$6058428767/4219776$	$0.88108$	$3.12170$	$[0, 1, 0, 608, 2804]$	\(y^2=x^3+x^2+608x+2804\)	3256.2.0.?	$[(26, 192)]$
19536.r1	19536p3	19536.r	19536p	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{11} \cdot 3^{3} \cdot 11 \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$9768$	$48$	$0$	$4.885139886$	$1$		$11$	$98304$	$1.552282$	$5565899381416019714/10989$	$0.98328$	$5.14046$	$[0, 1, 0, -468864, 123415380]$	\(y^2=x^3+x^2-468864x+123415380\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 264.24.0.?, $\ldots$	$[(399, 138), (420, 870)]$
19536.r2	19536p2	19536.r	19536p	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 37^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$9768$	$48$	$0$	$1.221284971$	$1$		$33$	$49152$	$1.205709$	$2717811254229988/120758121$	$0.94185$	$4.29858$	$[0, 1, 0, -29304, 1920996]$	\(y^2=x^3+x^2-29304x+1920996\)	2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 296.24.0.?, 9768.48.0.?	$[(66, 528), (102, 60)]$
19536.r3	19536p4	19536.r	19536p	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{11} \cdot 3^{12} \cdot 11^{4} \cdot 37 \)	$2$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$9768$	$48$	$0$	$1.221284971$	$1$		$37$	$98304$	$1.552282$	$-1163236610689634/287890624197$	$0.94612$	$4.31888$	$[0, 1, 0, -27824, 2125236]$	\(y^2=x^3+x^2-27824x+2125236\)	2.3.0.a.1, 4.12.0-4.c.1.1, 264.24.0.?, 296.24.0.?, 9768.48.0.?	$[(46, 972), (78, 660)]$
19536.r4	19536p1	19536.r	19536p	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{3} \cdot 11 \cdot 37^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$9768$	$48$	$0$	$1.221284971$	$1$		$11$	$24576$	$0.859136$	$3078397198672/556625817$	$0.88783$	$3.47172$	$[0, 1, 0, -1924, 26300]$	\(y^2=x^3+x^2-1924x+26300\)	2.3.0.a.1, 4.12.0-4.c.1.2, 66.6.0.a.1, 132.24.0.?, 296.24.0.?, $\ldots$	$[(98, 888), (133/2, 111/2)]$
19536.s1	19536bc1	19536.s	19536bc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{7} \cdot 11 \cdot 37^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9768$	$12$	$0$	$0.566959843$	$1$		$25$	$32256$	$1.065788$	$11966561852617/131736132$	$1.08208$	$3.88976$	$[0, 1, 0, -7624, 251252]$	\(y^2=x^3+x^2-7624x+251252\)	2.3.0.a.1, 66.6.0.a.1, 296.6.0.?, 9768.12.0.?	$[(62, 144), (44, 54)]$
19536.s2	19536bc2	19536.s	19536bc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{13} \cdot 3^{14} \cdot 11^{2} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9768$	$12$	$0$	$0.566959843$	$1$		$29$	$64512$	$1.412363$	$-133667977897/42826704426$	$0.98850$	$4.07436$	$[0, 1, 0, -1704, 637236]$	\(y^2=x^3+x^2-1704x+637236\)	2.3.0.a.1, 132.6.0.?, 296.6.0.?, 9768.12.0.?	$[(6, 792), (-60, 726)]$
19536.t1	19536l3	19536.t	19536l	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{10} \cdot 3^{4} \cdot 11 \cdot 37^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3256$	$48$	$0$	$3.318010553$	$1$		$7$	$32768$	$1.232525$	$796420363297828/1669877451$	$1.02835$	$4.17435$	$[0, 1, 0, -19464, 1036836]$	\(y^2=x^3+x^2-19464x+1036836\)	2.3.0.a.1, 4.12.0-4.c.1.1, 44.24.0-44.h.1.2, 296.24.0.?, 3256.48.0.?	$[(99, 300)]$
19536.t2	19536l2	19536.t	19536l	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{8} \cdot 11^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1628$	$48$	$0$	$1.659005276$	$1$		$9$	$16384$	$0.885951$	$1920672547792/1086823089$	$1.06575$	$3.42397$	$[0, 1, 0, -1644, 3276]$	\(y^2=x^3+x^2-1644x+3276\)	2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.a.1.1, 148.24.0.?, 1628.48.0.?	$[(-9, 132)]$
19536.t3	19536l1	19536.t	19536l	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{4} \cdot 11^{4} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3256$	$48$	$0$	$3.318010553$	$1$		$3$	$8192$	$0.539377$	$7760117512192/43879077$	$0.91447$	$3.28467$	$[0, 1, 0, -1039, -13180]$	\(y^2=x^3+x^2-1039x-13180\)	2.3.0.a.1, 4.12.0-4.c.1.2, 74.6.0.?, 88.24.0.?, 148.24.0.?, $\ldots$	$[(44, 168)]$
19536.t4	19536l4	19536.t	19536l	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{10} \cdot 3^{16} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$3256$	$48$	$0$	$0.829502638$	$1$		$7$	$32768$	$1.232525$	$29600220537212/17520015447$	$0.96901$	$3.84112$	$[0, 1, 0, 6496, 32580]$	\(y^2=x^3+x^2+6496x+32580\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$	$[(22, 432)]$
19536.u1	19536bd3	19536.u	19536bd	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{20} \cdot 3 \cdot 11^{4} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$264$	$48$	$0$	$1$	$36$	$2, 3$	$1$	$1474560$	$2.852459$	$19499096390516434897995817/15393430272$	$1.03382$	$6.73584$	$[0, 1, 0, -89718824, -327124581708]$	\(y^2=x^3+x^2-89718824x-327124581708\)	2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 88.24.0.?, 264.48.0.?	$[ ]$

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