Elliptic curve search results

Results (29 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
966.g1	966g5	966.g	966g	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 3^{16} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.48.0.48	2B	$2576$	$192$	$1$	$4.858093228$	$1$		$0$	$4096$	$1.415974$	$54804145548726848737/637608031452$	$1.01569$	$6.61272$	$2$	$[1, 1, 1, -79134, -8601153]$	\(y^2+xy+y=x^3+x^2-79134x-8601153\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.e.2.5, 28.24.0-28.h.1.1, $\ldots$	$[(-1463/3, 2371/3)]$	$1$
2898.i1	2898i5	2898.i	2898i	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 3^{22} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$7728$	$192$	$1$	$1$	$1$		$0$	$32768$	$1.965281$	$54804145548726848737/637608031452$	$1.01569$	$6.52828$	$2$	$[1, -1, 0, -712206, 231518920]$	\(y^2+xy=x^3-x^2-712206x+231518920\)	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.2, $\ldots$	$[ ]$	$1$
6762.bl1	6762bh5	6762.bl	6762bh	$6$	$8$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{16} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.38	2B	$2576$	$192$	$1$	$1$	$1$		$2$	$196608$	$2.388931$	$54804145548726848737/637608031452$	$1.01569$	$6.47752$	$1$	$[1, 0, 0, -3877567, 2938562717]$	\(y^2+xy=x^3-3877567x+2938562717\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 16.48.0-16.e.2.10, 28.24.0-28.h.1.2, $\ldots$	$[ ]$	$1$
7728.o1	7728r5	7728.o	7728r	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{16} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.32	2B	$2576$	$192$	$1$	$1$	$1$		$3$	$98304$	$2.109123$	$54804145548726848737/637608031452$	$1.01569$	$6.00586$	$2$	$[0, 1, 0, -1266144, 547941492]$	\(y^2=x^3+x^2-1266144x+547941492\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.e.2.7, 28.24.0-28.h.1.2, $\ldots$	$[ ]$	$1$
20286.k1	20286be5	20286.k	20286be	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{22} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$7728$	$192$	$1$	$1$	$1$		$0$	$1572864$	$2.938236$	$54804145548726848737/637608031452$	$1.01569$	$6.42463$	$2$	$[1, -1, 0, -34898103, -79341193359]$	\(y^2+xy=x^3-x^2-34898103x-79341193359\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.2, $\ldots$	$[ ]$	$1$
22218.y1	22218t6	22218.y	22218t	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{16} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.174	2B	$2576$	$192$	$1$	$23.10485020$	$1$		$0$	$2162688$	$2.983723$	$54804145548726848737/637608031452$	$1.01569$	$6.42077$	$2$	$[1, 1, 1, -41861897, 104231607419]$	\(y^2+xy+y=x^3+x^2-41861897x+104231607419\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.e.2.3, 28.12.0.h.1, $\ldots$	$[(553243669279/9585, 231264147995137538/9585)]$	$1$
23184.bk1	23184bi6	23184.bk	23184bi	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{22} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$7728$	$192$	$1$	$16.95936378$	$1$		$1$	$786432$	$2.658428$	$54804145548726848737/637608031452$	$1.01569$	$6.00522$	$2$	$[0, 0, 0, -11395299, -14805815582]$	\(y^2=x^3-11395299x-14805815582\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.2, $\ldots$	$[(-372222201/437, 32177579530/437)]$	$1$
24150.y1	24150bc6	24150.y	24150bc	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 3^{16} \cdot 5^{6} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$12880$	$192$	$1$	$1.126812445$	$1$		$6$	$524288$	$2.220692$	$54804145548726848737/637608031452$	$1.01569$	$5.46043$	$2$	$[1, 0, 1, -1978351, -1071187402]$	\(y^2+xy+y=x^3-1978351x-1071187402\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 20.12.0-4.c.1.1, $\ldots$	$[(-812, 509)]$	$1$
30912.w1	30912bk6	30912.w	30912bk	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 3^{16} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.194	2B	$2576$	$192$	$1$	$8.251961081$	$1$		$1$	$786432$	$2.455696$	$54804145548726848737/637608031452$	$1.01569$	$5.60282$	$2$	$[0, -1, 0, -5064577, 4388596513]$	\(y^2=x^3-x^2-5064577x+4388596513\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.e.2.6, 28.12.0.h.1, $\ldots$	$[(293239/15, 297712/15)]$	$1$
30912.ci1	30912y6	30912.ci	30912y	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 3^{16} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.185	2B	$2576$	$192$	$1$	$2.661324772$	$1$		$5$	$786432$	$2.455696$	$54804145548726848737/637608031452$	$1.01569$	$5.60282$	$2$	$[0, 1, 0, -5064577, -4388596513]$	\(y^2=x^3+x^2-5064577x-4388596513\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.e.2.8, 28.12.0.h.1, $\ldots$	$[(-1301, 192)]$	$1$
54096.bi1	54096bw6	54096.bi	54096bw	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{14} \cdot 3^{16} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.54	2B	$2576$	$192$	$1$	$1$	$16$	$2$	$1$	$4718592$	$3.082077$	$54804145548726848737/637608031452$	$1.01569$	$6.00481$	$2$	$[0, -1, 0, -62041072, -188068013888]$	\(y^2=x^3-x^2-62041072x-188068013888\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 16.48.0-16.e.2.12, 28.24.0-28.h.1.1, $\ldots$	$[ ]$	$1$
66654.h1	66654j6	66654.h	66654j	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{22} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$7728$	$192$	$1$	$14.03176150$	$1$		$0$	$17301504$	$3.533028$	$54804145548726848737/637608031452$	$1.01569$	$6.37915$	$2$	$[1, -1, 0, -376757073, -2814630157391]$	\(y^2+xy=x^3-x^2-376757073x-2814630157391\)	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.1.3, $\ldots$	$[(220698569/85, 2303083401827/85)]$	$1$
72450.dp1	72450dn6	72450.dp	72450dn	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 3^{22} \cdot 5^{6} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$38640$	$192$	$1$	$6.166748896$	$1$		$2$	$4194304$	$2.770000$	$54804145548726848737/637608031452$	$1.01569$	$5.51341$	$2$	$[1, -1, 1, -17805155, 28922059847]$	\(y^2+xy+y=x^3-x^2-17805155x+28922059847\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 28.12.0.h.1, $\ldots$	$[(4699, 219000)]$	$1$
92736.bh1	92736dz6	92736.bh	92736dz	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 3^{22} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$7728$	$192$	$1$	$28.66015659$	$1$		$1$	$6291456$	$3.005001$	$54804145548726848737/637608031452$	$1.01569$	$5.64097$	$2$	$[0, 0, 0, -45581196, -118446524656]$	\(y^2=x^3-45581196x-118446524656\)	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.1.9, $\ldots$	$[(-45002643109088/107319, 468476851640868620/107319)]$	$1$
92736.bk1	92736co6	92736.bk	92736co	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 3^{22} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$7728$	$192$	$1$	$1$	$1$		$1$	$6291456$	$3.005001$	$54804145548726848737/637608031452$	$1.01569$	$5.64097$	$2$	$[0, 0, 0, -45581196, 118446524656]$	\(y^2=x^3-45581196x+118446524656\)	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.1.11, $\ldots$	$[ ]$	$1$
116886.c1	116886b6	116886.c	116886b	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{16} \cdot 7 \cdot 11^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$28336$	$192$	$1$	$1$	$1$		$0$	$5242880$	$2.614922$	$54804145548726848737/637608031452$	$1.01569$	$5.12794$	$2$	$[1, 1, 0, -9575216, 11400258324]$	\(y^2+xy=x^3+x^2-9575216x+11400258324\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 28.12.0.h.1, $\ldots$	$[ ]$	$1$
155526.cp1	155526h6	155526.cp	155526h	$6$	$8$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23^{2} \)	\( 2^{2} \cdot 3^{16} \cdot 7^{7} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.119	2B	$2576$	$192$	$1$	$18.92459566$	$1$		$0$	$103809024$	$3.956676$	$54804145548726848737/637608031452$	$1.01569$	$6.35228$	$2$	$[1, 0, 0, -2051232954, -35757595043640]$	\(y^2+xy=x^3-2051232954x-35757595043640\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.e.2.16, 28.12.0.h.1, $\ldots$	$[(3683508964/255, 90084989259128/255)]$	$1$
162288.bg1	162288o5	162288.bg	162288o	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{14} \cdot 3^{22} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$7728$	$192$	$1$	$1$	$1$		$1$	$37748736$	$3.631382$	$54804145548726848737/637608031452$	$1.01569$	$6.00437$	$2$	$[0, 0, 0, -558369651, 5078394744626]$	\(y^2=x^3-558369651x+5078394744626\)	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.2, $\ldots$	$[ ]$	$1$
163254.u1	163254du6	163254.u	163254du	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{16} \cdot 7 \cdot 13^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$33488$	$192$	$1$	$15.13795884$	$1$		$0$	$9437184$	$2.698448$	$54804145548726848737/637608031452$	$1.01569$	$5.06871$	$2$	$[1, 1, 0, -13373649, -18829864503]$	\(y^2+xy=x^3+x^2-13373649x-18829864503\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 28.12.0.h.1, $\ldots$	$[(32799691/87, 43309864654/87)]$	$1$
169050.e1	169050ia5	169050.e	169050ia	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{16} \cdot 5^{6} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$12880$	$192$	$1$	$2.225524533$	$1$		$4$	$25165824$	$3.193649$	$54804145548726848737/637608031452$	$1.01569$	$5.54765$	$2$	$[1, 1, 0, -96939175, 367320339625]$	\(y^2+xy=x^3+x^2-96939175x+367320339625\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 20.12.0-4.c.1.2, $\ldots$	$[(6005, 39260)]$	$1$
177744.dd1	177744x6	177744.dd	177744x	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \)	\( 2^{14} \cdot 3^{16} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.114	2B	$2576$	$192$	$1$	$24.28012990$	$1$		$1$	$51904512$	$3.676868$	$54804145548726848737/637608031452$	$1.01569$	$6.00434$	$2$	$[0, 1, 0, -669790352, -6672162455532]$	\(y^2=x^3+x^2-669790352x-6672162455532\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.e.2.1, 28.12.0.h.1, $\ldots$	$[(-563193176204/6135, 1588121655542794/6135)]$	$1$
193200.df1	193200ef5	193200.df	193200ef	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{16} \cdot 5^{6} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$12880$	$192$	$1$	$10.14900154$	$1$		$1$	$12582912$	$2.913841$	$54804145548726848737/637608031452$	$1.01569$	$5.21093$	$2$	$[0, -1, 0, -31653608, 68555993712]$	\(y^2=x^3-x^2-31653608x+68555993712\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 20.12.0-4.c.1.2, $\ldots$	$[(412042/9, 144232550/9)]$	$1$
216384.bd1	216384hm5	216384.bd	216384hm	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{20} \cdot 3^{16} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.203	2B	$2576$	$192$	$1$	$1$	$1$		$1$	$37748736$	$3.428650$	$54804145548726848737/637608031452$	$1.01569$	$5.66573$	$2$	$[0, -1, 0, -248164289, 1504792275393]$	\(y^2=x^3-x^2-248164289x+1504792275393\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 16.48.0-16.e.2.11, 28.12.0.h.1, $\ldots$	$[ ]$	$1$
216384.fi1	216384l6	216384.fi	216384l	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( 2^{20} \cdot 3^{16} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.188	2B	$2576$	$192$	$1$	$4.828455308$	$1$		$3$	$37748736$	$3.428650$	$54804145548726848737/637608031452$	$1.01569$	$5.66573$	$2$	$[0, 1, 0, -248164289, -1504792275393]$	\(y^2=x^3+x^2-248164289x-1504792275393\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 16.48.0-16.e.2.9, 28.12.0.h.1, $\ldots$	$[(23281, 2310120)]$	$1$
279174.cr1	279174cr6	279174.cr	279174cr	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{16} \cdot 7 \cdot 17^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$43792$	$192$	$1$	$1$	$4$	$2$	$0$	$18874368$	$2.832581$	$54804145548726848737/637608031452$	$1.01569$	$4.98019$	$2$	$[1, 0, 0, -22869732, -42097375692]$	\(y^2+xy=x^3-22869732x-42097375692\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 28.12.0.h.1, $\ldots$	$[ ]$	$1$
348726.r1	348726r5	348726.r	348726r	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{16} \cdot 7 \cdot 19^{6} \cdot 23^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$48944$	$192$	$1$	$0.993028637$	$1$		$20$	$28311552$	$2.888195$	$54804145548726848737/637608031452$	$1.01569$	$4.94568$	$2$	$[1, 0, 1, -28567382, 58766768156]$	\(y^2+xy+y=x^3-28567382x+58766768156\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 28.12.0.h.1, $\ldots$	$[(3051, 1723), (2547, 49027)]$	$1$
350658.dw1	350658dw6	350658.dw	350658dw	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{22} \cdot 7 \cdot 11^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$85008$	$192$	$1$	$8.711786840$	$4$	$2$	$0$	$41943040$	$3.164227$	$54804145548726848737/637608031452$	$1.01569$	$5.20298$	$2$	$[1, -1, 1, -86176949, -307893151695]$	\(y^2+xy+y=x^3-x^2-86176949x-307893151695\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 28.12.0.h.1, $\ldots$	$[(-536841/10, 4019303/10)]$	$1$
466578.ce1	466578ce5	466578.ce	466578ce	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( 2^{2} \cdot 3^{22} \cdot 7^{7} \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$7728$	$192$	$1$	$1$	$9$	$3$	$0$	$830472192$	$4.505981$	$54804145548726848737/637608031452$	$1.01569$	$6.32263$	$2$	$[1, -1, 0, -18461096586, 965455066178280]$	\(y^2+xy=x^3-x^2-18461096586x+965455066178280\)	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, $\ldots$	$[ ]$	$1$
489762.dg1	489762dg5	489762.dg	489762dg	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{22} \cdot 7 \cdot 13^{6} \cdot 23^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$100464$	$192$	$1$	$20.02557843$	$1$		$6$	$75497472$	$3.247757$	$54804145548726848737/637608031452$	$1.01569$	$5.14680$	$2$	$[1, -1, 1, -120362846, 508285978737]$	\(y^2+xy+y=x^3-x^2-120362846x+508285978737\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 28.12.0.h.1, $\ldots$	$[(6393, 4577), (635751/10, -923781/10)]$	$1$

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