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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
1122.h2	1122h2	1122.h	1122h	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{4} \cdot 11^{4} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.4	2Cs	$136$	$48$	$0$	$1$	$1$		$2$	$768$	$0.471686$	$7457162887153/1370924676$	$0.94001$	$4.22053$	$[1, 1, 1, -407, 2441]$	\(y^2+xy+y=x^3+x^2-407x+2441\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 68.24.0-68.b.1.1, 136.48.0.?	$[ ]$
3366.d2	3366c2	3366.d	3366c	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{10} \cdot 11^{4} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$408$	$48$	$0$	$1$	$1$		$2$	$6144$	$1.020992$	$7457162887153/1370924676$	$0.94001$	$4.46124$	$[1, -1, 0, -3663, -69575]$	\(y^2+xy=x^3-x^2-3663x-69575\)	2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 68.12.0.b.1, $\ldots$	$[ ]$
8976.z2	8976bc2	8976.z	8976bc	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{4} \cdot 11^{4} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.3	2Cs	$136$	$48$	$0$	$1$	$1$		$3$	$18432$	$1.164833$	$7457162887153/1370924676$	$0.94001$	$4.17015$	$[0, 1, 0, -6512, -169260]$	\(y^2=x^3+x^2-6512x-169260\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 68.24.0-68.b.1.2, 136.48.0.?	$[ ]$
12342.d2	12342c2	12342.d	12342c	$4$	$4$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{4} \cdot 11^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$1496$	$48$	$0$	$1$	$1$		$2$	$92160$	$1.670633$	$7457162887153/1370924676$	$0.94001$	$4.67346$	$[1, 1, 0, -49249, -3495455]$	\(y^2+xy=x^3+x^2-49249x-3495455\)	2.6.0.a.1, 8.12.0.b.1, 44.12.0-2.a.1.1, 68.12.0.b.1, 88.24.0.?, $\ldots$	$[ ]$
19074.ba2	19074bc2	19074.ba	19074bc	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 11^{4} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.6	2Cs	$136$	$48$	$0$	$4.912786244$	$1$		$6$	$221184$	$1.888292$	$7457162887153/1370924676$	$0.94001$	$4.73205$	$[1, 0, 0, -117629, 12816909]$	\(y^2+xy=x^3-117629x+12816909\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 68.24.0-68.b.1.1, 136.48.0.?	$[(-386, 1057)]$
26928.l2	26928bp2	26928.l	26928bp	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{10} \cdot 11^{4} \cdot 17^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$408$	$48$	$0$	$2.008633953$	$1$		$29$	$147456$	$1.714140$	$7457162887153/1370924676$	$0.94001$	$4.36722$	$[0, 0, 0, -58611, 4511410]$	\(y^2=x^3-58611x+4511410\)	2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$	$[(23, 1782), (233, 1872)]$
28050.z2	28050bi2	28050.z	28050bi	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$680$	$48$	$0$	$0.416870294$	$1$		$18$	$98304$	$1.276405$	$7457162887153/1370924676$	$0.94001$	$3.83693$	$[1, 0, 1, -10176, 325498]$	\(y^2+xy+y=x^3-10176x+325498\)	2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.2, 68.12.0.b.1, $\ldots$	$[(92, 366)]$
35904.e2	35904cf2	35904.e	35904cf	$4$	$4$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{20} \cdot 3^{4} \cdot 11^{4} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.4	2Cs	$136$	$48$	$0$	$1$	$1$		$3$	$147456$	$1.511406$	$7457162887153/1370924676$	$0.94001$	$4.01549$	$[0, -1, 0, -26049, -1328031]$	\(y^2=x^3-x^2-26049x-1328031\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 68.24.0-68.b.1.3, 136.48.0.?	$[ ]$
35904.cf2	35904bg2	35904.cf	35904bg	$4$	$4$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{20} \cdot 3^{4} \cdot 11^{4} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.3	2Cs	$136$	$48$	$0$	$3.460504171$	$1$		$5$	$147456$	$1.511406$	$7457162887153/1370924676$	$0.94001$	$4.01549$	$[0, 1, 0, -26049, 1328031]$	\(y^2=x^3+x^2-26049x+1328031\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 68.24.0-68.b.1.3, 136.48.0.?	$[(-39, 1512)]$
37026.x2	37026bn2	37026.x	37026bn	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{10} \cdot 11^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$4488$	$48$	$0$	$6.063916459$	$1$		$4$	$737280$	$2.219940$	$7457162887153/1370924676$	$0.94001$	$4.81200$	$[1, -1, 1, -443246, 93934041]$	\(y^2+xy+y=x^3-x^2-443246x+93934041\)	2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 132.12.0.?, 136.24.0.?, $\ldots$	$[(117, 6549)]$
54978.bz2	54978bz2	54978.bz	54978bz	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{4} \cdot 7^{6} \cdot 11^{4} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$952$	$48$	$0$	$1.551085833$	$1$		$6$	$221184$	$1.444641$	$7457162887153/1370924676$	$0.94001$	$3.78533$	$[1, 0, 0, -19944, -897156]$	\(y^2+xy=x^3-19944x-897156\)	2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.2, 68.12.0.b.1, $\ldots$	$[(300, 4338)]$
57222.u2	57222u2	57222.u	57222u	$4$	$4$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{10} \cdot 11^{4} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$408$	$48$	$0$	$3.505044776$	$1$		$6$	$1769472$	$2.437599$	$7457162887153/1370924676$	$0.94001$	$4.85921$	$[1, -1, 0, -1058661, -346056543]$	\(y^2+xy=x^3-x^2-1058661x-346056543\)	2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 68.12.0.b.1, $\ldots$	$[(1239, 14973)]$
84150.dw2	84150fj2	84150.dw	84150fj	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{10} \cdot 5^{6} \cdot 11^{4} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$2040$	$48$	$0$	$1$	$1$		$2$	$786432$	$1.825710$	$7457162887153/1370924676$	$0.94001$	$4.04648$	$[1, -1, 1, -91580, -8788453]$	\(y^2+xy+y=x^3-x^2-91580x-8788453\)	2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 68.12.0.b.1, 120.24.0.?, $\ldots$	$[ ]$
98736.dl2	98736db2	98736.dl	98736db	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{14} \cdot 3^{4} \cdot 11^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$1496$	$48$	$0$	$1$	$4$	$2$	$3$	$2211840$	$2.363781$	$7457162887153/1370924676$	$0.94001$	$4.55169$	$[0, 1, 0, -787992, 222133140]$	\(y^2=x^3+x^2-787992x+222133140\)	2.6.0.a.1, 8.12.0.b.1, 44.12.0-2.a.1.1, 68.12.0.b.1, 88.24.0.?, $\ldots$	$[ ]$
107712.dj2	107712dm2	107712.dj	107712dm	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{20} \cdot 3^{10} \cdot 11^{4} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$408$	$48$	$0$	$5.326339294$	$1$		$5$	$1179648$	$2.060711$	$7457162887153/1370924676$	$0.94001$	$4.20364$	$[0, 0, 0, -234444, 36091280]$	\(y^2=x^3-234444x+36091280\)	2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 68.12.0.b.1, $\ldots$	$[(128, 2860)]$
107712.ek2	107712bz2	107712.ek	107712bz	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{20} \cdot 3^{10} \cdot 11^{4} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$408$	$48$	$0$	$5.792861518$	$1$		$3$	$1179648$	$2.060711$	$7457162887153/1370924676$	$0.94001$	$4.20364$	$[0, 0, 0, -234444, -36091280]$	\(y^2=x^3-234444x-36091280\)	2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$	$[(16745/2, 2151765/2)]$
152592.p2	152592bt2	152592.p	152592bt	$4$	$4$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{4} \cdot 11^{4} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.6	2Cs	$136$	$48$	$0$	$4.971498411$	$1$		$5$	$5308416$	$2.581440$	$7457162887153/1370924676$	$0.94001$	$4.60451$	$[0, -1, 0, -1882064, -820282176]$	\(y^2=x^3-x^2-1882064x-820282176\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 68.24.0-68.b.1.2, 136.48.0.?	$[(13946, 1638630)]$
164934.bj2	164934dr2	164934.bj	164934dr	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{10} \cdot 7^{6} \cdot 11^{4} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$2856$	$48$	$0$	$1$	$1$		$2$	$1769472$	$1.993946$	$7457162887153/1370924676$	$0.94001$	$3.98786$	$[1, -1, 0, -179496, 24223212]$	\(y^2+xy=x^3-x^2-179496x+24223212\)	2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 84.12.0.?, 136.24.0.?, $\ldots$	$[ ]$
189618.a2	189618bi2	189618.a	189618bi	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{4} \cdot 11^{4} \cdot 13^{6} \cdot 17^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$1768$	$48$	$0$	$3.461521584$	$1$		$24$	$1769472$	$1.754160$	$7457162887153/1370924676$	$0.94001$	$3.70532$	$[1, 1, 0, -68786, 5707200]$	\(y^2+xy=x^3+x^2-68786x+5707200\)	2.6.0.a.1, 8.12.0.b.1, 52.12.0-2.a.1.1, 68.12.0.b.1, 104.24.0.?, $\ldots$	$[(83, 719), (-25, 2735)]$
209814.bl2	209814bv2	209814.bl	209814bv	$4$	$4$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 11^{10} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$1496$	$48$	$0$	$11.52113644$	$1$		$2$	$26542080$	$3.087238$	$7457162887153/1370924676$	$0.94001$	$4.98017$	$[1, 0, 1, -14233112, -17073538990]$	\(y^2+xy+y=x^3-14233112x-17073538990\)	2.6.0.a.1, 8.12.0.b.1, 44.12.0-2.a.1.1, 68.12.0.b.1, 88.24.0.?, $\ldots$	$[(-3156435/43, 3838954543/43)]$
224400.ec2	224400fy2	224400.ec	224400fy	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$680$	$48$	$0$	$1$	$1$		$3$	$2359296$	$1.969551$	$7457162887153/1370924676$	$0.94001$	$3.86445$	$[0, -1, 0, -162808, -20831888]$	\(y^2=x^3-x^2-162808x-20831888\)	2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$	$[ ]$
296208.bu2	296208bu2	296208.bu	296208bu	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{14} \cdot 3^{10} \cdot 11^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$4488$	$48$	$0$	$11.53733975$	$1$		$3$	$17694720$	$2.913086$	$7457162887153/1370924676$	$0.94001$	$4.67798$	$[0, 0, 0, -7091931, -6004686710]$	\(y^2=x^3-7091931x-6004686710\)	2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 132.12.0.?, 136.24.0.?, $\ldots$	$[(8717654/31, 24496815420/31)]$
308550.kd2	308550kd2	308550.kd	308550kd	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 11^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$7480$	$48$	$0$	$8.560042458$	$1$		$2$	$11796480$	$2.475353$	$7457162887153/1370924676$	$0.94001$	$4.24729$	$[1, 0, 0, -1231238, -434469408]$	\(y^2+xy=x^3-1231238x-434469408\)	2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 136.24.0.?, 220.12.0.?, $\ldots$	$[(651823/2, 525589277/2)]$
394944.bf2	394944bf2	394944.bf	394944bf	$4$	$4$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{20} \cdot 3^{4} \cdot 11^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$1496$	$48$	$0$	$9.346412946$	$1$		$3$	$17694720$	$2.710354$	$7457162887153/1370924676$	$0.94001$	$4.38476$	$[0, -1, 0, -3151969, 1780217089]$	\(y^2=x^3-x^2-3151969x+1780217089\)	2.6.0.a.1, 8.12.0.b.1, 44.12.0-2.a.1.1, 68.12.0.b.1, 88.24.0.?, $\ldots$	$[(-10685/3, 1674764/3)]$
394944.fd2	394944fd2	394944.fd	394944fd	$4$	$4$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{20} \cdot 3^{4} \cdot 11^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$1496$	$48$	$0$	$4.059143428$	$1$		$7$	$17694720$	$2.710354$	$7457162887153/1370924676$	$0.94001$	$4.38476$	$[0, 1, 0, -3151969, -1780217089]$	\(y^2=x^3+x^2-3151969x-1780217089\)	2.6.0.a.1, 8.12.0.b.1, 44.12.0-2.a.1.1, 68.12.0.b.1, 88.24.0.?, $\ldots$	$[(-1165, 17664)]$
405042.bt2	405042bt2	405042.bt	405042bt	$4$	$4$	\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 11^{4} \cdot 17^{2} \cdot 19^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$2584$	$48$	$0$	$3.142688581$	$1$		$6$	$5308416$	$1.943905$	$7457162887153/1370924676$	$0.94001$	$3.66386$	$[1, 0, 1, -146935, -17919514]$	\(y^2+xy+y=x^3-146935x-17919514\)	2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 76.12.0.?, 136.24.0.?, $\ldots$	$[(-191, 1880)]$
439824.r2	439824r2	439824.r	439824r	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{4} \cdot 7^{6} \cdot 11^{4} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$952$	$48$	$0$	$2.045790523$	$1$		$13$	$5308416$	$2.137787$	$7457162887153/1370924676$	$0.94001$	$3.81968$	$[0, -1, 0, -319104, 57417984]$	\(y^2=x^3-x^2-319104x+57417984\)	2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$	$[(194, 1666)]$
457776.fe2	457776fe2	457776.fe	457776fe	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{10} \cdot 11^{4} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$408$	$48$	$0$	$14.00447643$	$1$		$3$	$42467328$	$3.130745$	$7457162887153/1370924676$	$0.94001$	$4.72213$	$[0, 0, 0, -16938579, 22164557330]$	\(y^2=x^3-16938579x+22164557330\)	2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 68.12.0.b.1, $\ldots$	$[(-1514257/19, 955640770/19)]$
476850.cu2	476850cu2	476850.cu	476850cu	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$680$	$48$	$0$	$5.626584318$	$1$		$2$	$28311552$	$2.693012$	$7457162887153/1370924676$	$0.94001$	$4.30564$	$[1, 1, 0, -2940725, 1602113625]$	\(y^2+xy=x^3+x^2-2940725x+1602113625\)	2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.3, 68.12.0.b.1, $\ldots$	$[(-3409/2, 476035/2)]$

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