Elliptic curve search results

Results (26 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
2730.m3	2730p3	2730.m	2730p	$6$	$18$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{6} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.24.0.1	2B, 3Cs.1.1	$32760$	$864$	$21$	$1$	$1$		$5$	$15552$	$1.483955$	$673163386034885929/357608625192000$	$1.00441$	$5.18838$	$[1, 0, 1, -18259, 270446]$	\(y^2+xy+y=x^3-18259x+270446\)	2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 104.6.0.?, 210.144.1.?, $\ldots$	$[ ]$
8190.ca3	8190bz3	8190.ca	8190bz	$6$	$18$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 13^{6} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.24.0.1	2B, 3Cs.1.1	$32760$	$864$	$21$	$1$	$1$		$5$	$124416$	$2.033260$	$673163386034885929/357608625192000$	$1.00441$	$5.28734$	$[1, -1, 1, -164327, -7302049]$	\(y^2+xy+y=x^3-x^2-164327x-7302049\)	2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 104.6.0.?, 210.144.1.?, $\ldots$	$[ ]$
13650.bq3	13650bu3	13650.bq	13650bu	$6$	$18$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{3} \cdot 5^{9} \cdot 7^{3} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$373248$	$2.288673$	$673163386034885929/357608625192000$	$1.00441$	$5.32557$	$[1, 1, 1, -456463, 33805781]$	\(y^2+xy+y=x^3+x^2-456463x+33805781\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 15.24.0-3.a.1.1, 30.72.0-6.a.1.1, $\ldots$	$[ ]$
19110.d3	19110m3	19110.d	19110m	$6$	$18$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{9} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1.338355270$	$1$		$7$	$746496$	$2.456909$	$673163386034885929/357608625192000$	$1.00441$	$5.34859$	$[1, 1, 0, -894667, -93657731]$	\(y^2+xy=x^3+x^2-894667x-93657731\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 21.24.0-3.a.1.1, 30.72.0-6.a.1.2, $\ldots$	$[(-162, 6941)]$
21840.l3	21840be3	21840.l	21840be	$6$	$18$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$3.461848012$	$1$		$5$	$373248$	$2.177101$	$673163386034885929/357608625192000$	$1.00441$	$4.94105$	$[0, -1, 0, -292136, -17308560]$	\(y^2=x^3-x^2-292136x-17308560\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 12.72.0-6.a.1.1, 104.6.0.?, $\ldots$	$[(-86, 2678)]$
35490.dr3	35490dp3	35490.dr	35490dp	$6$	$18$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$2612736$	$2.766430$	$673163386034885929/357608625192000$	$1.00441$	$5.38708$	$[1, 0, 0, -3085690, 597256100]$	\(y^2+xy=x^3-3085690x+597256100\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 24.72.0-6.a.1.4, 39.24.0-3.a.1.1, $\ldots$	$[ ]$
40950.bm3	40950z3	40950.bm	40950z	$6$	$18$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 3^{9} \cdot 5^{9} \cdot 7^{3} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$2985984$	$2.837982$	$673163386034885929/357608625192000$	$1.00441$	$5.39534$	$[1, -1, 0, -4108167, -916864259]$	\(y^2+xy=x^3-x^2-4108167x-916864259\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 15.24.0-3.a.1.1, 30.72.0-6.a.1.1, $\ldots$	$[ ]$
57330.ef3	57330ed3	57330.ef	57330ed	$6$	$18$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{9} \cdot 5^{3} \cdot 7^{9} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$5971968$	$3.006218$	$673163386034885929/357608625192000$	$1.00441$	$5.41391$	$[1, -1, 1, -8052008, 2520706731]$	\(y^2+xy+y=x^3-x^2-8052008x+2520706731\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 21.24.0-3.a.1.1, 30.72.0-6.a.1.2, $\ldots$	$[ ]$
65520.ca3	65520eb3	65520.ca	65520eb	$6$	$18$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$0.533803918$	$1$		$11$	$2985984$	$2.726410$	$673163386034885929/357608625192000$	$1.00441$	$5.04596$	$[0, 0, 0, -2629227, 469960346]$	\(y^2=x^3-2629227x+469960346\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 12.72.0-6.a.1.1, 104.6.0.?, $\ldots$	$[(-833, 45630)]$
87360.ds3	87360bj3	87360.ds	87360bj	$6$	$18$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$2.458764008$	$1$		$3$	$2985984$	$2.523678$	$673163386034885929/357608625192000$	$1.00441$	$4.70455$	$[0, -1, 0, -1168545, 139637025]$	\(y^2=x^3-x^2-1168545x+139637025\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 24.72.0-6.a.1.1, 104.6.0.?, $\ldots$	$[(2425, 107520)]$
87360.fm3	87360gu3	87360.fm	87360gu	$6$	$18$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$2985984$	$2.523678$	$673163386034885929/357608625192000$	$1.00441$	$4.70455$	$[0, 1, 0, -1168545, -139637025]$	\(y^2=x^3+x^2-1168545x-139637025\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 24.72.0-6.a.1.2, 104.6.0.?, $\ldots$	$[ ]$
95550.iw3	95550kg3	95550.iw	95550kg	$6$	$18$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{3} \cdot 5^{9} \cdot 7^{9} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$0.787251607$	$1$		$9$	$17915904$	$3.261631$	$673163386034885929/357608625192000$	$1.00441$	$5.44001$	$[1, 0, 0, -22366688, -11662483008]$	\(y^2+xy=x^3-22366688x-11662483008\)	2.3.0.a.1, 3.12.0.a.1, 6.72.0-6.a.1.2, 104.6.0.?, 105.24.0.?, $\ldots$	$[(5842, 235954)]$
106470.a3	106470bn3	106470.a	106470bn	$6$	$18$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$20901888$	$3.315735$	$673163386034885929/357608625192000$	$1.00441$	$5.44525$	$[1, -1, 0, -27771210, -16125914700]$	\(y^2+xy=x^3-x^2-27771210x-16125914700\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 24.72.0-6.a.1.4, 39.24.0-3.a.1.1, $\ldots$	$[ ]$
109200.hh3	109200gd3	109200.hh	109200gd	$6$	$18$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{9} \cdot 7^{3} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$8957952$	$2.981823$	$673163386034885929/357608625192000$	$1.00441$	$5.08797$	$[0, 1, 0, -7303408, -2178176812]$	\(y^2=x^3+x^2-7303408x-2178176812\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 60.72.0-6.a.1.1, 84.72.0.?, $\ldots$	$[ ]$
152880.il3	152880bm3	152880.il	152880bm	$6$	$18$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{3} \cdot 7^{9} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$3.384654292$	$1$		$7$	$17915904$	$3.150059$	$673163386034885929/357608625192000$	$1.00441$	$5.11367$	$[0, 1, 0, -14314680, 5965465428]$	\(y^2=x^3+x^2-14314680x+5965465428\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 60.72.0-6.a.1.4, 84.72.0.?, $\ldots$	$[(3558, 9408)]$
177450.cp3	177450jl3	177450.cp	177450jl	$6$	$18$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{6} \cdot 3^{3} \cdot 5^{9} \cdot 7^{3} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$62705664$	$3.571148$	$673163386034885929/357608625192000$	$1.00441$	$5.46870$	$[1, 1, 0, -77142250, 74657012500]$	\(y^2+xy=x^3+x^2-77142250x+74657012500\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 104.6.0.?, 120.72.0.?, $\ldots$	$[ ]$
248430.gu3	248430gu3	248430.gu	248430gu	$6$	$18$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{9} \cdot 13^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$18.30379769$	$1$		$1$	$125411328$	$3.739384$	$673163386034885929/357608625192000$	$1.00441$	$5.48309$	$[1, 1, 1, -151198811, -205010041111]$	\(y^2+xy+y=x^3+x^2-151198811x-205010041111\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 104.6.0.?, 120.72.0.?, $\ldots$	$[(-3728589727/1061, 610372133693294/1061)]$
262080.dj3	262080dj3	262080.dj	262080dj	$6$	$18$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{24} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$19.31306317$	$1$		$1$	$23887872$	$3.072983$	$673163386034885929/357608625192000$	$1.00441$	$4.81862$	$[0, 0, 0, -10516908, 3759682768]$	\(y^2=x^3-10516908x+3759682768\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 24.72.0-6.a.1.2, 104.6.0.?, $\ldots$	$[(12529052474/1885, 686896695802368/1885)]$
262080.dp3	262080dp3	262080.dp	262080dp	$6$	$18$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{24} \cdot 3^{9} \cdot 5^{3} \cdot 7^{3} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1.892870525$	$1$		$5$	$23887872$	$3.072983$	$673163386034885929/357608625192000$	$1.00441$	$4.81862$	$[0, 0, 0, -10516908, -3759682768]$	\(y^2=x^3-10516908x-3759682768\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 24.72.0-6.a.1.1, 104.6.0.?, $\ldots$	$[(6229, 415233)]$
283920.cy3	283920cy3	283920.cy	283920cy	$6$	$18$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{18} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 13^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$62705664$	$3.459579$	$673163386034885929/357608625192000$	$1.00441$	$5.15737$	$[0, -1, 0, -49371040, -38224390400]$	\(y^2=x^3-x^2-49371040x-38224390400\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 24.72.0-6.a.1.3, 104.6.0.?, $\ldots$	$[ ]$
286650.ig3	286650ig3	286650.ig	286650ig	$6$	$18$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{9} \cdot 5^{9} \cdot 7^{9} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$143327232$	$3.810936$	$673163386034885929/357608625192000$	$1.00441$	$5.48897$	$[1, -1, 0, -201300192, 314887041216]$	\(y^2+xy=x^3-x^2-201300192x+314887041216\)	2.3.0.a.1, 3.12.0.a.1, 6.72.0-6.a.1.2, 104.6.0.?, 105.24.0.?, $\ldots$	$[ ]$
327600.gw3	327600gw3	327600.gw	327600gw	$6$	$18$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{9} \cdot 7^{3} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$71663616$	$3.531128$	$673163386034885929/357608625192000$	$1.00441$	$5.16686$	$[0, 0, 0, -65730675, 58745043250]$	\(y^2=x^3-65730675x+58745043250\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 60.72.0-6.a.1.1, 84.72.0.?, $\ldots$	$[ ]$
330330.fh3	330330fh3	330330.fh	330330fh	$6$	$18$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 11^{6} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$360360$	$864$	$21$	$1$	$1$		$1$	$16796160$	$2.682903$	$673163386034885929/357608625192000$	$1.00441$	$4.36251$	$[1, 0, 0, -2209281, -362173239]$	\(y^2+xy=x^3-2209281x-362173239\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 33.24.0-3.a.1.1, 66.72.0-6.a.1.1, $\ldots$	$[ ]$
436800.fu3	436800fu3	436800.fu	436800fu	$6$	$18$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{24} \cdot 3^{3} \cdot 5^{9} \cdot 7^{3} \cdot 13^{6} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$2.658054041$	$1$		$15$	$71663616$	$3.328396$	$673163386034885929/357608625192000$	$1.00441$	$4.86509$	$[0, -1, 0, -29213633, -17396200863]$	\(y^2=x^3-x^2-29213633x-17396200863\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 104.6.0.?, 120.72.0.?, $\ldots$	$[(-1448, 147875), (9927, 819000)]$
436800.oz3	436800oz3	436800.oz	436800oz	$6$	$18$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{24} \cdot 3^{3} \cdot 5^{9} \cdot 7^{3} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$2.023969523$	$1$		$5$	$71663616$	$3.328396$	$673163386034885929/357608625192000$	$1.00441$	$4.86509$	$[0, 1, 0, -29213633, 17396200863]$	\(y^2=x^3+x^2-29213633x+17396200863\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 104.6.0.?, 120.72.0.?, $\ldots$	$[(-677, 192000)]$
458640.d3	458640d3	458640.d	458640d	$6$	$18$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{3} \cdot 7^{9} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.12.0.1	2B, 3Cs	$32760$	$864$	$21$	$1$	$1$		$1$	$143327232$	$3.699364$	$673163386034885929/357608625192000$	$1.00441$	$5.18837$	$[0, 0, 0, -128832123, -161196398678]$	\(y^2=x^3-128832123x-161196398678\)	2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 60.72.0-6.a.1.4, 84.72.0.?, $\ldots$	$[ ]$

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