Elliptic curve search results

Results (42 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	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
510.e2	510e4	510.e	510e	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 17 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	32.96.0.6	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$2$	$512$	$0.793592$	$1139466686381936641/4080$	$1.01700$	$6.66897$	$[1, 1, 1, -21760, 1226417]$	\(y^2+xy+y=x^3+x^2-21760x+1226417\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 32.96.0-32.e.2.3, $\ldots$	$[]$
1530.b2	1530c3	1530.b	1530c	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$0$	$4096$	$1.342899$	$1139466686381936641/4080$	$1.01700$	$6.56875$	$[1, -1, 0, -195840, -33309104]$	\(y^2+xy=x^3-x^2-195840x-33309104\)	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.g.1, $\ldots$	$[]$
2550.l2	2550h4	2550.l	2550h	$8$	$16$	\( 2 \cdot 3 \cdot 5^{2} \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$8160$	$768$	$13$	$1$	$1$		$0$	$12288$	$1.598312$	$1139466686381936641/4080$	$1.01700$	$6.53171$	$[1, 0, 1, -544001, 154390148]$	\(y^2+xy+y=x^3-544001x+154390148\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 20.12.0-4.c.1.2, $\ldots$	$[]$
4080.ba2	4080be3	4080.ba	4080be	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17 \)	\( 2^{16} \cdot 3 \cdot 5 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.14	2B	$8160$	$768$	$13$	$11.15189786$	$4$	$2$	$1$	$12288$	$1.486740$	$1139466686381936641/4080$	$1.01700$	$6.00141$	$[0, 1, 0, -348160, -79187020]$	\(y^2=x^3+x^2-348160x-79187020\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 32.96.0-32.e.2.4, $\ldots$	$[(52987/7, 9761928/7)]$
7650.bx2	7650ca3	7650.bx	7650ca	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.78	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$0$	$98304$	$2.147617$	$1139466686381936641/4080$	$1.01700$	$6.46638$	$[1, -1, 1, -4896005, -4168534003]$	\(y^2+xy+y=x^3-x^2-4896005x-4168534003\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.g.1.12, 32.96.0-32.e.2.1, $\ldots$	$[]$
8670.v2	8670v4	8670.v	8670v	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.30	2B	$8160$	$768$	$13$	$3.462948728$	$1$		$2$	$147456$	$2.210201$	$1139466686381936641/4080$	$1.01700$	$6.45995$	$[1, 0, 0, -6288646, 6069408116]$	\(y^2+xy=x^3-6288646x+6069408116\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.g.1.1, 32.96.0-32.e.2.15, $\ldots$	$[(2098, 44902)]$
12240.o2	12240bm4	12240.o	12240bm	$8$	$16$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \)	\( 2^{16} \cdot 3^{7} \cdot 5 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$8160$	$768$	$13$	$3.681250514$	$1$		$3$	$98304$	$2.036045$	$1139466686381936641/4080$	$1.01700$	$6.00125$	$[0, 0, 0, -3133443, 2134916098]$	\(y^2=x^3-3133443x+2134916098\)	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.g.1, $\ldots$	$[(1047, 1390)]$
16320.m2	16320bt3	16320.m	16320bt	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 5 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.86	2B	$8160$	$768$	$13$	$15.37874205$	$4$	$2$	$1$	$98304$	$1.833313$	$1139466686381936641/4080$	$1.01700$	$5.57247$	$[0, -1, 0, -1392641, -632103519]$	\(y^2=x^3-x^2-1392641x-632103519\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.g.1.10, 32.96.0-32.e.2.9, $\ldots$	$[(4240321/28, 8502584455/28)]$
16320.bw2	16320bb4	16320.bw	16320bb	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 5 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.90	2B	$8160$	$768$	$13$	$7.284237700$	$1$		$1$	$98304$	$1.833313$	$1139466686381936641/4080$	$1.01700$	$5.57247$	$[0, 1, 0, -1392641, 632103519]$	\(y^2=x^3+x^2-1392641x+632103519\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.g.1.14, 32.96.0-32.e.2.10, $\ldots$	$[(8065/3, 276056/3)]$
20400.x2	20400bt3	20400.x	20400bt	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \)	\( 2^{16} \cdot 3 \cdot 5^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$1$	$294912$	$2.291458$	$1139466686381936641/4080$	$1.01700$	$6.00118$	$[0, -1, 0, -8704008, -9880969488]$	\(y^2=x^3-x^2-8704008x-9880969488\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 20.12.0-4.c.1.1, $\ldots$	$[]$
24990.cb2	24990bx4	24990.cb	24990bx	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$57120$	$768$	$13$	$1$	$16$	$2$	$0$	$196608$	$1.766548$	$1139466686381936641/4080$	$1.01700$	$5.25887$	$[1, 0, 0, -1066241, -423859815]$	\(y^2+xy=x^3-1066241x-423859815\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 28.12.0-4.c.1.2, $\ldots$	$[]$
26010.u2	26010r4	26010.u	26010r	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$8160$	$768$	$13$	$20.56425975$	$1$		$0$	$1179648$	$2.759506$	$1139466686381936641/4080$	$1.01700$	$6.41024$	$[1, -1, 0, -56597814, -163874019132]$	\(y^2+xy=x^3-x^2-56597814x-163874019132\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 20.12.0-4.c.1.1, $\ldots$	$[(10269796471/987, 611338915051243/987)]$
43350.p2	43350b4	43350.p	43350b	$8$	$16$	\( 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( 2^{4} \cdot 3 \cdot 5^{7} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$8160$	$768$	$13$	$7.416286587$	$1$		$2$	$3538944$	$3.014919$	$1139466686381936641/4080$	$1.01700$	$6.39062$	$[1, 1, 0, -157216150, 758676014500]$	\(y^2+xy=x^3+x^2-157216150x+758676014500\)	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.g.1, $\ldots$	$[(33321, 5685743)]$
48960.en2	48960fd4	48960.en	48960fd	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \)	\( 2^{22} \cdot 3^{7} \cdot 5 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$1$	$786432$	$2.382618$	$1139466686381936641/4080$	$1.01700$	$5.61596$	$[0, 0, 0, -12533772, 17079328784]$	\(y^2=x^3-12533772x+17079328784\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0-8.n.1.11, $\ldots$	$[]$
48960.et2	48960cl4	48960.et	48960cl	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \)	\( 2^{22} \cdot 3^{7} \cdot 5 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$8160$	$768$	$13$	$22.64479571$	$1$		$1$	$786432$	$2.382618$	$1139466686381936641/4080$	$1.01700$	$5.61596$	$[0, 0, 0, -12533772, -17079328784]$	\(y^2=x^3-12533772x-17079328784\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0-8.n.1.9, $\ldots$	$[(12899736420/611, 1457098264745456/611)]$
61200.ek2	61200ff4	61200.ek	61200ff	$8$	$16$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \)	\( 2^{16} \cdot 3^{7} \cdot 5^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.32	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$1$	$2359296$	$2.840763$	$1139466686381936641/4080$	$1.01700$	$6.00107$	$[0, 0, 0, -78336075, 266864512250]$	\(y^2=x^3-78336075x+266864512250\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.g.1.16, 32.96.0-32.e.2.2, $\ldots$	$[]$
61710.o2	61710n4	61710.o	61710n	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$89760$	$768$	$13$	$8.943277411$	$4$	$2$	$2$	$655360$	$1.992540$	$1139466686381936641/4080$	$1.01700$	$5.07375$	$[1, 1, 0, -2632962, -1645526076]$	\(y^2+xy=x^3+x^2-2632962x-1645526076\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(6719, 529603)]$
69360.q2	69360cb4	69360.q	69360cb	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{16} \cdot 3 \cdot 5 \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.80	2B	$8160$	$768$	$13$	$1$	$16$	$2$	$1$	$3538944$	$2.903347$	$1139466686381936641/4080$	$1.01700$	$6.00105$	$[0, -1, 0, -100618336, -388442119424]$	\(y^2=x^3-x^2-100618336x-388442119424\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.g.1.5, 32.96.0-32.e.2.16, $\ldots$	$[]$
74970.bf2	74970bx4	74970.bf	74970bx	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 7^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$57120$	$768$	$13$	$2.496829304$	$1$		$4$	$1572864$	$2.315853$	$1139466686381936641/4080$	$1.01700$	$5.33141$	$[1, -1, 0, -9596169, 11444215005]$	\(y^2+xy=x^3-x^2-9596169x+11444215005\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(1789, -876)]$
81600.cd2	81600c4	81600.cd	81600c	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 5^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$8160$	$768$	$13$	$6.336950442$	$1$		$3$	$2359296$	$2.638031$	$1139466686381936641/4080$	$1.01700$	$5.63331$	$[0, -1, 0, -34816033, 79082571937]$	\(y^2=x^3-x^2-34816033x+79082571937\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0-8.n.1.7, $\ldots$	$[(4083, 70564)]$
81600.hw2	81600hu4	81600.hw	81600hu	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 5^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$8160$	$768$	$13$	$35.61126515$	$4$	$2$	$1$	$2359296$	$2.638031$	$1139466686381936641/4080$	$1.01700$	$5.63331$	$[0, 1, 0, -34816033, -79082571937]$	\(y^2=x^3+x^2-34816033x-79082571937\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0-8.n.1.3, $\ldots$	$[(4766369944107049/562741, 298559210267399794559424/562741)]$
86190.d2	86190d4	86190.d	86190d	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{6} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$106080$	$768$	$13$	$11.00701018$	$1$		$6$	$1179648$	$2.076069$	$1139466686381936641/4080$	$1.01700$	$5.01278$	$[1, 1, 0, -3677443, 2712825757]$	\(y^2+xy=x^3+x^2-3677443x+2712825757\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(1107, -539), (3177, 150427)]$
124950.cc2	124950z4	124950.cc	124950z	$8$	$16$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5^{7} \cdot 7^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$57120$	$768$	$13$	$7.550266393$	$4$	$2$	$2$	$4718592$	$2.571266$	$1139466686381936641/4080$	$1.01700$	$5.36051$	$[1, 1, 0, -26656025, -52982476875]$	\(y^2+xy=x^3+x^2-26656025x-52982476875\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(6525, 222450)]$
130050.fr2	130050bu4	130050.fr	130050bu	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.16	2B	$8160$	$768$	$13$	$16.52310749$	$1$		$0$	$28311552$	$3.564224$	$1139466686381936641/4080$	$1.01700$	$6.35417$	$[1, -1, 1, -1414945355, -20485667336853]$	\(y^2+xy+y=x^3-x^2-1414945355x-20485667336853\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 16.48.0-16.g.1.11, 32.96.0-32.e.2.13, $\ldots$	$[(24151317/7, 118248252578/7)]$
184110.w2	184110bc4	184110.w	184110bc	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 17 \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$155040$	$768$	$13$	$5.952593454$	$16$	$2$	$2$	$3538944$	$2.265812$	$1139466686381936641/4080$	$1.01700$	$4.88677$	$[1, 0, 1, -7855368, -8474838362]$	\(y^2+xy+y=x^3-7855368x-8474838362\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(5692, 359417)]$
185130.dv2	185130bg3	185130.dv	185130bg	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 11^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$89760$	$768$	$13$	$1.972635317$	$4$	$2$	$4$	$5242880$	$2.541847$	$1139466686381936641/4080$	$1.01700$	$5.15765$	$[1, -1, 1, -23696663, 44405507391]$	\(y^2+xy+y=x^3-x^2-23696663x+44405507391\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(2841, 1362)]$
199920.k2	199920dd3	199920.k	199920dd	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2^{16} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$57120$	$768$	$13$	$3.459772243$	$4$	$2$	$3$	$4718592$	$2.459694$	$1139466686381936641/4080$	$1.01700$	$5.04440$	$[0, -1, 0, -17059856, 27127028160]$	\(y^2=x^3-x^2-17059856x+27127028160\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 28.12.0-4.c.1.1, $\ldots$	$[(2394, 762)]$
208080.fe2	208080o3	208080.fe	208080o	$8$	$16$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( 2^{16} \cdot 3^{7} \cdot 5 \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$1$	$28311552$	$3.452652$	$1139466686381936641/4080$	$1.01700$	$6.00096$	$[0, 0, 0, -905565027, 10488842789474]$	\(y^2=x^3-905565027x+10488842789474\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 20.12.0-4.c.1.2, $\ldots$	$[]$
244800.ir2	244800ir3	244800.ir	244800ir	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \)	\( 2^{22} \cdot 3^{7} \cdot 5^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.84	2B	$8160$	$768$	$13$	$1$	$1$		$1$	$18874368$	$3.187340$	$1139466686381936641/4080$	$1.01700$	$5.66577$	$[0, 0, 0, -313344300, 2134916098000]$	\(y^2=x^3-313344300x+2134916098000\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.g.1.4, 32.96.0-32.e.2.11, $\ldots$	$[]$
244800.ko2	244800ko4	244800.ko	244800ko	$8$	$16$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \)	\( 2^{22} \cdot 3^{7} \cdot 5^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.46	2B	$8160$	$768$	$13$	$29.92914477$	$1$		$1$	$18874368$	$3.187340$	$1139466686381936641/4080$	$1.01700$	$5.66577$	$[0, 0, 0, -313344300, -2134916098000]$	\(y^2=x^3-313344300x-2134916098000\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.g.1.8, 32.96.0-32.e.2.12, $\ldots$	$[(13723729382084/24605, 23128012396367716552/24605)]$
258570.ez2	258570ez4	258570.ez	258570ez	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 13^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$106080$	$768$	$13$	$1$	$16$	$2$	$0$	$9437184$	$2.625374$	$1139466686381936641/4080$	$1.01700$	$5.09980$	$[1, -1, 1, -33096992, -73279392429]$	\(y^2+xy+y=x^3-x^2-33096992x-73279392429\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[]$
269790.bb2	269790bb4	269790.bb	269790bb	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 23^{2} \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 17 \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$187680$	$768$	$13$	$5.121159333$	$4$	$2$	$2$	$6488064$	$2.361340$	$1139466686381936641/4080$	$1.01700$	$4.82912$	$[1, 1, 1, -11511051, -15036928311]$	\(y^2+xy+y=x^3+x^2-11511051x-15036928311\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(4521, 156968)]$
277440.dv2	277440dv3	277440.dv	277440dv	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{22} \cdot 3 \cdot 5 \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.82	2B	$8160$	$768$	$13$	$1$	$4$	$2$	$1$	$28311552$	$3.249920$	$1139466686381936641/4080$	$1.01700$	$5.66911$	$[0, -1, 0, -402473345, 3107939428737]$	\(y^2=x^3-x^2-402473345x+3107939428737\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.g.1.13, 32.96.0-32.e.2.6, $\ldots$	$[]$
277440.ih2	277440ih4	277440.ih	277440ih	$8$	$16$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{22} \cdot 3 \cdot 5 \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.96.0.48	2B	$8160$	$768$	$13$	$1$	$64$	$2$	$1$	$28311552$	$3.249920$	$1139466686381936641/4080$	$1.01700$	$5.66911$	$[0, 1, 0, -402473345, -3107939428737]$	\(y^2=x^3+x^2-402473345x-3107939428737\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.g.1.9, 32.96.0-32.e.2.5, $\ldots$	$[]$
308550.iz2	308550iz4	308550.iz	308550iz	$8$	$16$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5^{7} \cdot 11^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$89760$	$768$	$13$	$9.340172502$	$4$	$2$	$0$	$15728640$	$2.797260$	$1139466686381936641/4080$	$1.01700$	$5.19169$	$[1, 0, 0, -65824063, -205559111383]$	\(y^2+xy=x^3-65824063x-205559111383\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(208342/3, 87907619/3)]$
346800.jc2	346800jc4	346800.jc	346800jc	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( 2^{16} \cdot 3 \cdot 5^{7} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$8160$	$768$	$13$	$73.41939658$	$4$	$2$	$1$	$84934656$	$3.708065$	$1139466686381936641/4080$	$1.01700$	$6.00092$	$[0, 1, 0, -2515458408, -48560295844812]$	\(y^2=x^3+x^2-2515458408x-48560295844812\)	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.g.1, $\ldots$	$[(1248816567389740283968803956176043/44607029195323, 43985975822829444878910229919898239117892028279584/44607029195323)]$
374850.iq2	374850iq3	374850.iq	374850iq	$8$	$16$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 7^{6} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$57120$	$768$	$13$	$6.972819393$	$1$		$12$	$37748736$	$3.120571$	$1139466686381936641/4080$	$1.01700$	$5.41525$	$[1, -1, 1, -239904230, 1430286971397]$	\(y^2+xy+y=x^3-x^2-239904230x+1430286971397\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(8999, 4725), (8943, -4429)]$
424830.fk2	424830fk4	424830.fk	424830fk	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$57120$	$768$	$13$	$1$	$16$	$2$	$0$	$56623104$	$3.183155$	$1139466686381936641/4080$	$1.01700$	$5.42090$	$[1, 1, 1, -308143655, -2082115127443]$	\(y^2+xy+y=x^3+x^2-308143655x-2082115127443\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[]$
428910.bh2	428910bh3	428910.bh	428910bh	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 29^{2} \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 17 \cdot 29^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$236640$	$768$	$13$	$7.487747674$	$1$		$0$	$12845056$	$2.477242$	$1139466686381936641/4080$	$1.01700$	$4.76373$	$[1, 0, 1, -18300178, 30130690676]$	\(y^2+xy+y=x^3-18300178x+30130690676\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(62016/5, -37804/5)]$
430950.hp2	430950hp3	430950.hp	430950hp	$8$	$16$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5^{7} \cdot 13^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$106080$	$768$	$13$	$3.477511325$	$4$	$2$	$2$	$28311552$	$2.880787$	$1139466686381936641/4080$	$1.01700$	$5.13525$	$[1, 0, 0, -91936088, 339287091792]$	\(y^2+xy=x^3-91936088x+339287091792\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(5538, -2478)]$
490110.dd2	490110dd4	490110.dd	490110dd	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 17 \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$252960$	$768$	$13$	$16.69799075$	$4$	$2$	$0$	$14745600$	$2.510586$	$1139466686381936641/4080$	$1.01700$	$4.74578$	$[1, 0, 0, -20911380, -36808042080]$	\(y^2+xy=x^3-20911380x-36808042080\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(552937937/16, 12997680414527/16)]$
493680.ha2	493680ha3	493680.ha	493680ha	$8$	$16$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{16} \cdot 3 \cdot 5 \cdot 11^{6} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.8	2B	$89760$	$768$	$13$	$10.26805037$	$4$	$2$	$1$	$15728640$	$2.685688$	$1139466686381936641/4080$	$1.01700$	$4.90343$	$[0, 1, 0, -42127400, 105229414068]$	\(y^2=x^3+x^2-42127400x+105229414068\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.2, $\ldots$	$[(55627/3, 7684604/3)]$