Elliptic curves over $\Q$ of conductor 126126

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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
126126.a1	126126cj1	126126.a	126126cj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{6} \cdot 3^{7} \cdot 7^{2} \cdot 11 \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.351207902$	$1$		$18$	$179712$	$0.696262$	$-6329617441/356928$	$0.84226$	$2.82204$	$[1, -1, 0, -1269, 18549]$	\(y^2+xy=x^3-x^2-1269x+18549\)	132.2.0.?	$[(27, 45), (18, 27)]$
126126.b1	126126bn1	126126.b	126126bn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{2} \cdot 3^{9} \cdot 7^{4} \cdot 11^{7} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.102370636$	$1$		$36$	$2741760$	$2.095253$	$29032124914751/355679845092$	$0.98025$	$4.11910$	$[1, -1, 0, 77166, 37035144]$	\(y^2+xy=x^3-x^2+77166x+37035144\)	132.2.0.?	$[(711, 20880), (282, 8868)]$
126126.c1	126126dd2	126126.c	126126dd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{7} \cdot 3^{16} \cdot 7^{8} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$24024$	$12$	$0$	$1.705020720$	$1$		$6$	$6881280$	$2.603973$	$55988918938824481/688490554752$	$0.94458$	$4.83873$	$[1, -1, 0, -3514779, 2510055589]$	\(y^2+xy=x^3-x^2-3514779x+2510055589\)	2.3.0.a.1, 88.6.0.?, 1092.6.0.?, 24024.12.0.?	$[(695, 19718)]$
126126.c2	126126dd1	126126.c	126126dd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 3^{11} \cdot 7^{7} \cdot 11^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$24024$	$12$	$0$	$3.410041441$	$1$		$5$	$3440640$	$2.257401$	$88961427666721/43838226432$	$0.93064$	$4.29001$	$[1, -1, 0, -410139, -38853851]$	\(y^2+xy=x^3-x^2-410139x-38853851\)	2.3.0.a.1, 88.6.0.?, 546.6.0.?, 24024.12.0.?	$[(-145, 4262)]$
126126.d1	126126cb1	126126.d	126126cb	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{15} \cdot 3^{9} \cdot 7^{10} \cdot 11^{3} \cdot 13^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1848$	$16$	$0$	$4.588179961$	$1$		$2$	$29030400$	$3.446545$	$-802302449299393/33632965656576$	$1.01218$	$5.50579$	$[1, -1, 0, -11431611, 127491600613]$	\(y^2+xy=x^3-x^2-11431611x+127491600613\)	3.4.0.a.1, 21.8.0-3.a.1.2, 264.8.0.?, 1848.16.0.?	$[(4253, 392573)]$
126126.d2	126126cb2	126126.d	126126cb	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{5} \cdot 3^{7} \cdot 7^{10} \cdot 11 \cdot 13^{12} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1848$	$16$	$0$	$13.76453988$	$1$		$0$	$87091200$	$3.995850$	$581124479497931327/24602777889339936$	$1.03592$	$6.06498$	$[1, -1, 0, 102663909, -3401094908219]$	\(y^2+xy=x^3-x^2+102663909x-3401094908219\)	3.4.0.a.1, 21.8.0-3.a.1.1, 264.8.0.?, 1848.16.0.?	$[(5985158813/463, 455919215215034/463)]$
126126.e1	126126bh1	126126.e	126126bh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{11} \cdot 3^{17} \cdot 7^{8} \cdot 11 \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$0.995845071$	$1$		$4$	$7805952$	$2.875694$	$-12808391413763617/674439727104$	$1.00321$	$5.05191$	$[1, -1, 0, -7866126, 8871480148]$	\(y^2+xy=x^3-x^2-7866126x+8871480148\)	264.2.0.?	$[(2291, 52436)]$
126126.f1	126126a2	126126.f	126126a	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 7^{8} \cdot 11^{3} \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$858$	$16$	$0$	$3.323118936$	$1$		$10$	$3773952$	$2.318134$	$128359621971/70873088$	$0.92916$	$4.34506$	$[1, -1, 0, -508776, -29796544]$	\(y^2+xy=x^3-x^2-508776x-29796544\)	3.8.0-3.a.1.1, 858.16.0.?	$[(1360, 41656), (-368, 10552)]$
126126.f2	126126a1	126126.f	126126a	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{3} \cdot 7^{8} \cdot 11 \cdot 13^{3} \)	$2$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$858$	$16$	$0$	$3.323118936$	$1$		$18$	$1257984$	$1.768827$	$20784535191819/386672$	$0.91964$	$4.21696$	$[1, -1, 0, -308121, 65906973]$	\(y^2+xy=x^3-x^2-308121x+65906973\)	3.8.0-3.a.1.2, 858.16.0.?	$[(318, -81), (342, 495)]$
126126.g1	126126cs1	126126.g	126126cs	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{11} \cdot 3^{12} \cdot 7^{6} \cdot 11 \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$7983360$	$2.654701$	$-20699471212993/6097712265216$	$1.04158$	$4.69669$	$[1, -1, 0, -252261, 1101413781]$	\(y^2+xy=x^3-x^2-252261x+1101413781\)	1144.2.0.?	$[ ]$
126126.h1	126126cq2	126126.h	126126cq	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2 \cdot 3^{8} \cdot 7^{6} \cdot 11^{3} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$24024$	$16$	$0$	$1$	$1$		$0$	$1347840$	$1.890747$	$-25979045828113/52635726$	$0.95062$	$4.18551$	$[1, -1, 0, -272106, -54660614]$	\(y^2+xy=x^3-x^2-272106x-54660614\)	3.4.0.a.1, 21.8.0-3.a.1.1, 1144.2.0.?, 3432.8.0.?, 24024.16.0.?	$[ ]$
126126.h2	126126cq1	126126.h	126126cq	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{3} \cdot 3^{12} \cdot 7^{6} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$24024$	$16$	$0$	$1$	$1$		$0$	$449280$	$1.341442$	$241804367/833976$	$0.89201$	$3.33521$	$[1, -1, 0, 5724, -372632]$	\(y^2+xy=x^3-x^2+5724x-372632\)	3.4.0.a.1, 21.8.0-3.a.1.2, 1144.2.0.?, 3432.8.0.?, 24024.16.0.?	$[ ]$
126126.i1	126126x1	126126.i	126126x	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{11} \cdot 3^{3} \cdot 7^{2} \cdot 11^{3} \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1848$	$16$	$0$	$2.297825353$	$1$		$0$	$1064448$	$1.819416$	$-23228916850810251/13157340731392$	$0.97550$	$3.87860$	$[1, -1, 0, -65256, -9009344]$	\(y^2+xy=x^3-x^2-65256x-9009344\)	3.4.0.a.1, 21.8.0-3.a.1.1, 264.8.0.?, 1848.16.0.?	$[(1671/2, 46663/2)]$
126126.i2	126126x2	126126.i	126126x	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{33} \cdot 3^{9} \cdot 7^{2} \cdot 11 \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1848$	$16$	$0$	$6.893476059$	$1$		$0$	$3193344$	$2.368721$	$16153623810383661/15968688406528$	$0.98365$	$4.35080$	$[1, -1, 0, 520329, 121445981]$	\(y^2+xy=x^3-x^2+520329x+121445981\)	3.4.0.a.1, 21.8.0-3.a.1.2, 264.8.0.?, 1848.16.0.?	$[(215/2, 97623/2)]$
126126.j1	126126cr1	126126.j	126126cr	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{13} \cdot 3^{6} \cdot 7^{6} \cdot 11^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$104$	$2$	$0$	$1$	$1$		$0$	$730080$	$1.566257$	$241804367/12886016$	$0.94938$	$3.58301$	$[1, -1, 0, 5724, 1589328]$	\(y^2+xy=x^3-x^2+5724x+1589328\)	104.2.0.?	$[ ]$
126126.k1	126126bm1	126126.k	126126bm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{5} \cdot 3^{7} \cdot 7^{4} \cdot 11 \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$264$	$2$	$0$	$1$	$1$		$0$	$337920$	$1.073837$	$-57865677457/178464$	$0.94928$	$3.33435$	$[1, -1, 0, -9711, -366899]$	\(y^2+xy=x^3-x^2-9711x-366899\)	264.2.0.?	$[ ]$
126126.l1	126126bz6	126126.l	126126bz	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{10} \cdot 7^{14} \cdot 11 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.90	2B	$3696$	$192$	$1$	$49.07591100$	$1$		$0$	$301989888$	$4.626480$	$2211889682389423686563629156897/293403593785302$	$1.04400$	$7.50432$	$[1, -1, 0, -119706713163, -15941348561057081]$	\(y^2+xy=x^3-x^2-119706713163x-15941348561057081\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 48.48.0-8.bb.2.8, 84.12.0.?, $\ldots$	$[(702289549318041324700071/132866815, 588468733919332734360572172975774599/132866815)]$
126126.l2	126126bz4	126126.l	126126bz	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{14} \cdot 7^{10} \cdot 11^{2} \cdot 13^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$1848$	$192$	$1$	$24.53795550$	$1$		$2$	$150994944$	$4.279907$	$540016607532350974290947137/6219484329456802404$	$1.02598$	$6.79613$	$[1, -1, 0, -7481690253, -249080722583855]$	\(y^2+xy=x^3-x^2-7481690253x-249080722583855\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 24.48.0-8.e.1.2, 56.48.0.v.1, $\ldots$	$[(-1097040396085/4681, 1941914617392185/4681)]$
126126.l3	126126bz5	126126.l	126126bz	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2 \cdot 3^{10} \cdot 7^{8} \cdot 11 \cdot 13^{16} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$3696$	$192$	$1$	$49.07591100$	$4$	$2$	$0$	$301989888$	$4.626480$	$-499389414448500029215603297/58102847480656897356438$	$1.02727$	$6.80507$	$[1, -1, 0, -7289154063, -262507156779029]$	\(y^2+xy=x^3-x^2-7289154063x-262507156779029\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.7, $\ldots$	$[(4109259732806341172141/202523465, 29343678379434113175266006684116/202523465)]$
126126.l4	126126bz3	126126.l	126126bz	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{38} \cdot 7^{7} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.1	2B	$3696$	$192$	$1$	$6.134488876$	$1$		$2$	$150994944$	$4.279907$	$6818484108085988673456577/1060987475571276305052$	$1.01755$	$6.42389$	$[1, -1, 0, -1742181093, 23932545031849]$	\(y^2+xy=x^3-x^2-1742181093x+23932545031849\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.1, $\ldots$	$[(-4072, 5566133)]$
126126.l5	126126bz2	126126.l	126126bz	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{22} \cdot 7^{8} \cdot 11^{4} \cdot 13^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.10	2Cs	$1848$	$192$	$1$	$12.26897775$	$1$		$2$	$75497472$	$3.933331$	$142301015703162602447617/14112380844589691664$	$1.00526$	$6.09444$	$[1, -1, 0, -479659833, -3680562454115]$	\(y^2+xy=x^3-x^2-479659833x-3680562454115\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 12.24.0-4.b.1.2, 24.48.0-8.e.2.16, $\ldots$	$[(-9049378/31, -869718979/31)]$
126126.l6	126126bz1	126126.l	126126bz	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 3^{14} \cdot 7^{7} \cdot 11^{8} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.88	2B	$3696$	$192$	$1$	$6.134488876$	$1$		$3$	$37748736$	$3.586758$	$64653427259057355263/425928037217050368$	$1.00343$	$5.63838$	$[1, -1, 0, 36874647, -277736606771]$	\(y^2+xy=x^3-x^2+36874647x-277736606771\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$	$[(14289, 1772315)]$
126126.m1	126126j2	126126.m	126126j	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{5} \cdot 3^{9} \cdot 7^{9} \cdot 11^{2} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$1$		$0$	$3440640$	$2.522919$	$253996928037/110588192$	$0.95807$	$4.56885$	$[1, -1, 0, -1221873, 259007741]$	\(y^2+xy=x^3-x^2-1221873x+259007741\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 924.6.0.?, 1848.12.0.?	$[ ]$
126126.m2	126126j1	126126.m	126126j	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{10} \cdot 3^{9} \cdot 7^{9} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1848$	$12$	$0$	$1$	$1$		$1$	$1720320$	$2.176346$	$2444008923/1903616$	$0.91864$	$4.17347$	$[1, -1, 0, 259887, 29927645]$	\(y^2+xy=x^3-x^2+259887x+29927645\)	2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.?	$[ ]$
126126.n1	126126bx2	126126.n	126126bx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{8} \cdot 7^{7} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$3.857563939$	$1$		$2$	$786432$	$1.799877$	$33116363266897/2576574$	$0.89862$	$4.20588$	$[1, -1, 0, -295038, -61605090]$	\(y^2+xy=x^3-x^2-295038x-61605090\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[(681, 6936)]$
126126.n2	126126bx1	126126.n	126126bx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{2} \cdot 3^{10} \cdot 7^{8} \cdot 11 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$1.928781969$	$1$		$5$	$393216$	$1.453302$	$-6570725617/2270268$	$0.83081$	$3.51989$	$[1, -1, 0, -17208, -1093716]$	\(y^2+xy=x^3-x^2-17208x-1093716\)	2.3.0.a.1, 56.6.0.d.1, 286.6.0.?, 8008.12.0.?	$[(303, 4479)]$
126126.o1	126126bw2	126126.o	126126bw	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{5} \cdot 3^{8} \cdot 7^{7} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$2.765442818$	$1$		$4$	$2949120$	$2.347912$	$137350557323428177/41225184$	$0.94893$	$4.91514$	$[1, -1, 0, -4740318, 3973642420]$	\(y^2+xy=x^3-x^2-4740318x+3973642420\)	2.3.0.a.1, 56.6.0.a.1, 572.6.0.?, 8008.12.0.?	$[(1221, 1606)]$
126126.o2	126126bw1	126126.o	126126bw	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{10} \cdot 3^{10} \cdot 7^{8} \cdot 11 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8008$	$12$	$0$	$1.382721409$	$1$		$7$	$1474560$	$2.001339$	$-33116363266897/581188608$	$0.89910$	$4.20842$	$[1, -1, 0, -295038, 62685076]$	\(y^2+xy=x^3-x^2-295038x+62685076\)	2.3.0.a.1, 56.6.0.d.1, 286.6.0.?, 8008.12.0.?	$[(44, 7034)]$
126126.p1	126126by4	126126.p	126126by	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{9} \cdot 7^{6} \cdot 11 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$2.315909418$	$1$		$4$	$3538944$	$2.456528$	$7725203825376001537/7722$	$1.05943$	$5.25823$	$[1, -1, 0, -18162153, 29796503211]$	\(y^2+xy=x^3-x^2-18162153x+29796503211\)	2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 168.12.0.?, 312.12.0.?, $\ldots$	$[(2473, -183)]$
126126.p2	126126by3	126126.p	126126by	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{18} \cdot 7^{6} \cdot 11 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$2.315909418$	$1$		$6$	$3538944$	$2.456528$	$2138362647385537/333926700822$	$0.98017$	$4.56073$	$[1, -1, 0, -1183653, 423834039]$	\(y^2+xy=x^3-x^2-1183653x+423834039\)	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 88.12.0.?, 312.12.0.?, $\ldots$	$[(405, 3078)]$
126126.p3	126126by2	126126.p	126126by	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{12} \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$24024$	$48$	$0$	$1.157954709$	$1$		$14$	$1769472$	$2.109955$	$1886079023633377/59629284$	$1.02081$	$4.55004$	$[1, -1, 0, -1135143, 465775785]$	\(y^2+xy=x^3-x^2-1135143x+465775785\)	2.6.0.a.1, 84.12.0.?, 88.12.0.?, 156.12.0.?, 364.12.0.?, $\ldots$	$[(471, 5718)]$
126126.p4	126126by1	126126.p	126126by	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{4} \cdot 3^{9} \cdot 7^{6} \cdot 11^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$2.315909418$	$1$		$5$	$884736$	$1.763380$	$-404075127457/82223856$	$0.98040$	$3.85638$	$[1, -1, 0, -67923, 7938405]$	\(y^2+xy=x^3-x^2-67923x+7938405\)	2.3.0.a.1, 4.6.0.c.1, 78.6.0.?, 84.12.0.?, 88.12.0.?, $\ldots$	$[(135, 1035)]$
126126.q1	126126ch4	126126.q	126126ch	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{11} \cdot 7^{18} \cdot 11 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1$	$1$		$0$	$47185920$	$3.805519$	$2890568544635035786835377/7695534223160784$	$1.04250$	$6.35082$	$[1, -1, 0, -1308755268, 18223952560960]$	\(y^2+xy=x^3-x^2-1308755268x+18223952560960\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 364.12.0.?, 616.12.0.?, $\ldots$	$[ ]$
126126.q2	126126ch2	126126.q	126126ch	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{16} \cdot 7^{12} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$12012$	$48$	$0$	$1$	$1$		$2$	$23592960$	$3.458946$	$732259344458458209457/36367448083110144$	$1.02041$	$5.64577$	$[1, -1, 0, -82810548, 277347804880]$	\(y^2+xy=x^3-x^2-82810548x+277347804880\)	2.6.0.a.1, 12.12.0-2.a.1.1, 308.12.0.?, 364.12.0.?, 572.12.0.?, $\ldots$	$[ ]$
126126.q3	126126ch1	126126.q	126126ch	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{16} \cdot 3^{11} \cdot 7^{9} \cdot 11^{4} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1$	$1$		$1$	$11796480$	$3.112373$	$3937972047511014577/1039667378061312$	$0.97142$	$5.20086$	$[1, -1, 0, -14508468, -15681778736]$	\(y^2+xy=x^3-x^2-14508468x-15681778736\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 364.12.0.?, 546.6.0.?, $\ldots$	$[ ]$
126126.q4	126126ch3	126126.q	126126ch	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{4} \cdot 3^{26} \cdot 7^{9} \cdot 11 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1$	$1$		$0$	$47185920$	$3.805519$	$164109982300653435983/6011810622751581648$	$1.02299$	$5.87024$	$[1, -1, 0, 50300892, 1083816775264]$	\(y^2+xy=x^3-x^2+50300892x+1083816775264\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 308.12.0.?, 728.12.0.?, $\ldots$	$[ ]$
126126.r1	126126n2	126126.r	126126n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{6} \cdot 3^{9} \cdot 7^{6} \cdot 11^{4} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.786103973$	$1$		$6$	$1658880$	$2.129898$	$3249025693731/158357056$	$0.94940$	$4.28882$	$[1, -1, 0, -408228, 96174224]$	\(y^2+xy=x^3-x^2-408228x+96174224\)	2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[(464, 2316)]$
126126.r2	126126n1	126126.r	126126n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{12} \cdot 3^{9} \cdot 7^{6} \cdot 11^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$3.572207947$	$1$		$5$	$829440$	$1.783323$	$165469149/6443008$	$0.95479$	$3.80426$	$[1, -1, 0, 15132, 5829200]$	\(y^2+xy=x^3-x^2+15132x+5829200\)	2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?	$[(-88, 1996)]$
126126.s1	126126w2	126126.s	126126w	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{13} \cdot 3^{3} \cdot 7^{8} \cdot 11^{10} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$24024$	$12$	$0$	$3.425186801$	$1$		$4$	$22364160$	$3.364540$	$17852472442400800381659/135349366545096704$	$1.11099$	$5.63708$	$[1, -1, 0, -80040333, -273789052699]$	\(y^2+xy=x^3-x^2-80040333x-273789052699\)	2.3.0.a.1, 312.6.0.?, 924.6.0.?, 8008.6.0.?, 24024.12.0.?	$[(-4877, 25885)]$
126126.s2	126126w1	126126.s	126126w	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{26} \cdot 3^{3} \cdot 7^{7} \cdot 11^{5} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$24024$	$12$	$0$	$1.712593400$	$1$		$7$	$11182080$	$3.017963$	$-191679850402552539/12785804443123712$	$1.19956$	$5.06782$	$[1, -1, 0, -1765773, -9737651995]$	\(y^2+xy=x^3-x^2-1765773x-9737651995\)	2.3.0.a.1, 312.6.0.?, 462.6.0.?, 8008.6.0.?, 24024.12.0.?	$[(2501, 37288)]$
126126.t1	126126u2	126126.t	126126u	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{3} \cdot 7^{8} \cdot 11^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$24024$	$12$	$0$	$0.883300056$	$1$		$6$	$245760$	$1.191933$	$284760442539/154154$	$0.86007$	$3.52031$	$[1, -1, 0, -20148, 1105306]$	\(y^2+xy=x^3-x^2-20148x+1105306\)	2.3.0.a.1, 312.6.0.?, 924.6.0.?, 8008.6.0.?, 24024.12.0.?	$[(23, 797)]$
126126.t2	126126u1	126126.t	126126u	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{2} \cdot 3^{3} \cdot 7^{7} \cdot 11 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$24024$	$12$	$0$	$0.441650028$	$1$		$11$	$122880$	$0.845360$	$-38958219/52052$	$0.76822$	$2.86469$	$[1, -1, 0, -1038, 23680]$	\(y^2+xy=x^3-x^2-1038x+23680\)	2.3.0.a.1, 312.6.0.?, 462.6.0.?, 8008.6.0.?, 24024.12.0.?	$[(2, 146)]$
126126.u1	126126cn2	126126.u	126126cn	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{5} \cdot 3^{12} \cdot 7^{10} \cdot 11 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$		$0$	$2949120$	$2.344517$	$387627787952497/104123571552$	$0.92331$	$4.41533$	$[1, -1, 0, -669888, -154309856]$	\(y^2+xy=x^3-x^2-669888x-154309856\)	2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?	$[ ]$
126126.u2	126126cn1	126126.u	126126cn	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{10} \cdot 3^{9} \cdot 7^{8} \cdot 11^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.997944$	$1547612421263/2131024896$	$0.89717$	$3.97245$	$[1, -1, 0, 106272, -15687680]$	\(y^2+xy=x^3-x^2+106272x-15687680\)	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[ ]$
126126.v1	126126v1	126126.v	126126v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{14} \cdot 3^{9} \cdot 7^{10} \cdot 11 \cdot 13^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$8.927545028$	$1$		$0$	$8805888$	$2.991062$	$923274208269/5147377664$	$1.00091$	$5.02795$	$[1, -1, 0, 3593847, -7706193139]$	\(y^2+xy=x^3-x^2+3593847x-7706193139\)	132.2.0.?	$[(411826/5, 264766211/5)]$
126126.w1	126126co4	126126.w	126126co	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{22} \cdot 7^{7} \cdot 11 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1$	$4$	$2$	$0$	$4718592$	$2.563133$	$139857357356642017/86179535442$	$0.94904$	$4.91668$	$[1, -1, 0, -4768983, 4007602899]$	\(y^2+xy=x^3-x^2-4768983x+4007602899\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0.y.1, 168.24.0.?, $\ldots$	$[ ]$
126126.w2	126126co3	126126.w	126126co	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2 \cdot 3^{10} \cdot 7^{7} \cdot 11^{4} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1$	$1$		$0$	$4718592$	$2.563133$	$30008617645327777/474195255534$	$0.94136$	$4.78563$	$[1, -1, 0, -2855043, -1830568545]$	\(y^2+xy=x^3-x^2-2855043x-1830568545\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0.s.1, 84.12.0.?, $\ldots$	$[ ]$
126126.w3	126126co2	126126.w	126126co	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{14} \cdot 7^{8} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$24024$	$48$	$0$	$1$	$1$		$2$	$2359296$	$2.216560$	$57481172513857/26296514244$	$0.92312$	$4.25283$	$[1, -1, 0, -354573, 37282545]$	\(y^2+xy=x^3-x^2-354573x+37282545\)	2.6.0.a.1, 24.12.0-2.a.1.1, 56.12.0.b.1, 84.12.0.?, 168.24.0.?, $\ldots$	$[ ]$
126126.w4	126126co1	126126.w	126126co	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{4} \cdot 3^{10} \cdot 7^{10} \cdot 11 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$24024$	$48$	$0$	$1$	$1$		$1$	$1179648$	$1.869986$	$602708730623/444972528$	$0.89263$	$3.86477$	$[1, -1, 0, 77607, 4350429]$	\(y^2+xy=x^3-x^2+77607x+4350429\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.y.1, 84.12.0.?, $\ldots$	$[ ]$
126126.x1	126126cf1	126126.x	126126cf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{9} \cdot 3^{8} \cdot 7^{6} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1144$	$2$	$0$	$1$	$1$		$0$	$380160$	$1.393486$	$-10779215329/658944$	$1.04485$	$3.53072$	$[1, -1, 0, -20295, 1175229]$	\(y^2+xy=x^3-x^2-20295x+1175229\)	1144.2.0.?	$[ ]$

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