Elliptic curve search results

Results (38 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
1960.d1	1960m1	1960.d	1960m	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$2688$	$0.938398$	$-2249728/5$	$0.86008$	$4.97164$	$[0, -1, 0, -5945, -174803]$	\(y^2=x^3-x^2-5945x-174803\)	70.2.0.a.1	$[]$
1960.h1	1960j1	1960.h	1960j	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.270249990$	$1$		$4$	$384$	$-0.034557$	$-2249728/5$	$0.86008$	$3.43149$	$[0, 1, 0, -121, 475]$	\(y^2=x^3+x^2-121x+475\)	70.2.0.a.1	$[(9, 14)]$
3920.o1	3920f1	3920.o	3920f	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$768$	$-0.034557$	$-2249728/5$	$0.86008$	$3.14401$	$[0, -1, 0, -121, -475]$	\(y^2=x^3-x^2-121x-475\)	70.2.0.a.1	$[]$
3920.bb1	3920k1	3920.bb	3920k	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1.936670001$	$1$		$2$	$5376$	$0.938398$	$-2249728/5$	$0.86008$	$4.55514$	$[0, 1, 0, -5945, 174803]$	\(y^2=x^3+x^2-5945x+174803\)	70.2.0.a.1	$[(-82, 343)]$
9800.m1	9800h1	9800.m	9800h	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 5^{7} \cdot 7^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.116549136$	$1$		$28$	$9216$	$0.770163$	$-2249728/5$	$0.86008$	$3.88130$	$[0, -1, 0, -3033, 65437]$	\(y^2=x^3-x^2-3033x+65437\)	70.2.0.a.1	$[(37, 50), (12, 175)]$
9800.y1	9800g1	9800.y	9800g	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 5^{7} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$64512$	$1.743116$	$-2249728/5$	$0.86008$	$5.15173$	$[0, 1, 0, -148633, -22147637]$	\(y^2=x^3+x^2-148633x-22147637\)	70.2.0.a.1	$[]$
15680.z1	15680cm1	15680.z	15680cm	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \)	\( - 2^{14} \cdot 5 \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$2.114703084$	$1$		$2$	$43008$	$1.284971$	$-2249728/5$	$0.86008$	$4.33197$	$[0, -1, 0, -23781, 1422205]$	\(y^2=x^3-x^2-23781x+1422205\)	70.2.0.a.1	$[(180, 1715)]$
15680.bs1	15680bs1	15680.bs	15680bs	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \)	\( - 2^{14} \cdot 5 \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.981745648$	$1$		$2$	$6144$	$0.312017$	$-2249728/5$	$0.86008$	$3.12334$	$[0, -1, 0, -485, 4285]$	\(y^2=x^3-x^2-485x+4285\)	70.2.0.a.1	$[(12, 7)]$
15680.cn1	15680l1	15680.cn	15680l	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \)	\( - 2^{14} \cdot 5 \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$9$	$3$	$0$	$43008$	$1.284971$	$-2249728/5$	$0.86008$	$4.33197$	$[0, 1, 0, -23781, -1422205]$	\(y^2=x^3+x^2-23781x-1422205\)	70.2.0.a.1	$[]$
15680.cq1	15680do1	15680.cq	15680do	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \)	\( - 2^{14} \cdot 5 \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$6144$	$0.312017$	$-2249728/5$	$0.86008$	$3.12334$	$[0, 1, 0, -485, -4285]$	\(y^2=x^3+x^2-485x-4285\)	70.2.0.a.1	$[]$
17640.bh1	17640w1	17640.bh	17640w	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.875603127$	$1$		$4$	$80640$	$1.487705$	$-2249728/5$	$0.86008$	$4.52859$	$[0, 0, 0, -53508, 4773188]$	\(y^2=x^3-53508x+4773188\)	70.2.0.a.1	$[(98, 686)]$
17640.cs1	17640bk1	17640.cs	17640bk	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$11520$	$0.514750$	$-2249728/5$	$0.86008$	$3.33453$	$[0, 0, 0, -1092, -13916]$	\(y^2=x^3-1092x-13916\)	70.2.0.a.1	$[]$
19600.bs1	19600r1	19600.bs	19600r	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 5^{7} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$129024$	$1.743116$	$-2249728/5$	$0.86008$	$4.79043$	$[0, -1, 0, -148633, 22147637]$	\(y^2=x^3-x^2-148633x+22147637\)	70.2.0.a.1	$[]$
19600.da1	19600n1	19600.da	19600n	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 5^{7} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$18432$	$0.770163$	$-2249728/5$	$0.86008$	$3.60909$	$[0, 1, 0, -3033, -65437]$	\(y^2=x^3+x^2-3033x-65437\)	70.2.0.a.1	$[]$
35280.g1	35280bu1	35280.g	35280bu	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$12.13826353$	$1$		$0$	$161280$	$1.487705$	$-2249728/5$	$0.86008$	$4.22881$	$[0, 0, 0, -53508, -4773188]$	\(y^2=x^3-53508x-4773188\)	70.2.0.a.1	$[(3422601/17, 6330688231/17)]$
35280.dh1	35280ct1	35280.dh	35280ct	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$23040$	$0.514750$	$-2249728/5$	$0.86008$	$3.11379$	$[0, 0, 0, -1092, 13916]$	\(y^2=x^3-1092x+13916\)	70.2.0.a.1	$[]$
78400.cy1	78400ia1	78400.cy	78400ia	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 5^{7} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$5.901301993$	$1$		$2$	$147456$	$1.116735$	$-2249728/5$	$0.86008$	$3.53417$	$[0, -1, 0, -12133, -511363]$	\(y^2=x^3-x^2-12133x-511363\)	70.2.0.a.1	$[(4772, 329525)]$
78400.em1	78400bw1	78400.em	78400bw	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 5^{7} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$1032192$	$2.089691$	$-2249728/5$	$0.86008$	$4.57018$	$[0, -1, 0, -594533, -176586563]$	\(y^2=x^3-x^2-594533x-176586563\)	70.2.0.a.1	$[]$
78400.gz1	78400hp1	78400.gz	78400hp	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 5^{7} \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1.904103085$	$1$		$0$	$1032192$	$2.089691$	$-2249728/5$	$0.86008$	$4.57018$	$[0, 1, 0, -594533, 176586563]$	\(y^2=x^3+x^2-594533x+176586563\)	70.2.0.a.1	$[(1877/2, 8575/2)]$
78400.iv1	78400bj1	78400.iv	78400bj	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 5^{7} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$147456$	$1.116735$	$-2249728/5$	$0.86008$	$3.53417$	$[0, 1, 0, -12133, 511363]$	\(y^2=x^3+x^2-12133x+511363\)	70.2.0.a.1	$[]$
88200.hr1	88200hj1	88200.hr	88200hj	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$276480$	$1.319468$	$-2249728/5$	$0.86008$	$3.71125$	$[0, 0, 0, -27300, -1739500]$	\(y^2=x^3-27300x-1739500\)	70.2.0.a.1	$[]$
88200.ic1	88200hi1	88200.ic	88200hi	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$1935360$	$2.292423$	$-2249728/5$	$0.86008$	$4.73655$	$[0, 0, 0, -1337700, 596648500]$	\(y^2=x^3-1337700x+596648500\)	70.2.0.a.1	$[]$
141120.l1	141120lc1	141120.l	141120lc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 5 \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$5.997364866$	$1$		$0$	$184320$	$0.861323$	$-2249728/5$	$0.86008$	$3.10049$	$[0, 0, 0, -4368, -111328]$	\(y^2=x^3-4368x-111328\)	70.2.0.a.1	$[(721/3, 6209/3)]$
141120.hk1	141120er1	141120.hk	141120er	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 5 \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$184320$	$0.861323$	$-2249728/5$	$0.86008$	$3.10049$	$[0, 0, 0, -4368, 111328]$	\(y^2=x^3-4368x+111328\)	70.2.0.a.1	$[]$
141120.ip1	141120if1	141120.ip	141120if	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 5 \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$1290240$	$1.834278$	$-2249728/5$	$0.86008$	$4.08515$	$[0, 0, 0, -214032, 38185504]$	\(y^2=x^3-214032x+38185504\)	70.2.0.a.1	$[]$
141120.ps1	141120ci1	141120.ps	141120ci	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 5 \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$44.51379154$	$1$		$0$	$1290240$	$1.834278$	$-2249728/5$	$0.86008$	$4.08515$	$[0, 0, 0, -214032, -38185504]$	\(y^2=x^3-214032x-38185504\)	70.2.0.a.1	$[(314832853114642394105/557458757, 4853116330002029326665312457013/557458757)]$
176400.z1	176400ns1	176400.z	176400ns	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1.454987814$	$1$		$2$	$552960$	$1.319468$	$-2249728/5$	$0.86008$	$3.49831$	$[0, 0, 0, -27300, 1739500]$	\(y^2=x^3-27300x+1739500\)	70.2.0.a.1	$[(105, 175)]$
176400.bv1	176400ny1	176400.bv	176400ny	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$11.79414432$	$1$		$0$	$3870720$	$2.292423$	$-2249728/5$	$0.86008$	$4.46478$	$[0, 0, 0, -1337700, -596648500]$	\(y^2=x^3-1337700x-596648500\)	70.2.0.a.1	$[(16096745/58, 62484901675/58)]$
237160.ba1	237160ba1	237160.ba	237160ba	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{9} \cdot 11^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$3198720$	$2.137344$	$-2249728/5$	$0.86008$	$4.20765$	$[0, -1, 0, -719385, 235540285]$	\(y^2=x^3-x^2-719385x+235540285\)	70.2.0.a.1	$[]$
237160.bs1	237160bs1	237160.bs	237160bs	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{3} \cdot 11^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$4.005070208$	$1$		$2$	$456960$	$1.164391$	$-2249728/5$	$0.86008$	$3.26429$	$[0, 1, 0, -14681, -690901]$	\(y^2=x^3+x^2-14681x-690901\)	70.2.0.a.1	$[(275, 4018)]$
331240.w1	331240w1	331240.w	331240w	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{9} \cdot 13^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$4741632$	$2.220875$	$-2249728/5$	$0.86008$	$4.17590$	$[0, -1, 0, -1004761, -388061155]$	\(y^2=x^3-x^2-1004761x-388061155\)	70.2.0.a.1	$[]$
331240.ch1	331240ch1	331240.ch	331240ch	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{3} \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1.873544151$	$1$		$2$	$677376$	$1.247917$	$-2249728/5$	$0.86008$	$3.25734$	$[0, 1, 0, -20505, 1125515]$	\(y^2=x^3+x^2-20505x+1125515\)	70.2.0.a.1	$[(79, 70)]$
474320.cg1	474320cg1	474320.cg	474320cg	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{3} \cdot 11^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$2.553147012$	$1$		$2$	$913920$	$1.164391$	$-2249728/5$	$0.86008$	$3.09117$	$[0, -1, 0, -14681, 690901]$	\(y^2=x^3-x^2-14681x+690901\)	70.2.0.a.1	$[(68, 49)]$
474320.ib1	474320ib1	474320.ib	474320ib	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{9} \cdot 11^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$9$	$3$	$0$	$6397440$	$2.137344$	$-2249728/5$	$0.86008$	$3.98449$	$[0, 1, 0, -719385, -235540285]$	\(y^2=x^3+x^2-719385x-235540285\)	70.2.0.a.1	$[]$
705600.cj1	-	705600.cj	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 5^{7} \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$8.293099284$	$1$		$0$	$30965760$	$2.638996$	$-2249728/5$	$0.86008$	$4.31399$	$[0, 0, 0, -5350800, 4773188000]$	\(y^2=x^3-5350800x+4773188000\)	70.2.0.a.1	$[(438305/13, 200646425/13)]$
705600.ee1	-	705600.ee	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$8.423144766$	$1$		$0$	$4423680$	$1.666042$	$-2249728/5$	$0.86008$	$3.44701$	$[0, 0, 0, -109200, -13916000]$	\(y^2=x^3-109200x-13916000\)	70.2.0.a.1	$[(62545/12, 7841575/12)]$
705600.bys1	-	705600.bys	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 5^{7} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$30965760$	$2.638996$	$-2249728/5$	$0.86008$	$4.31399$	$[0, 0, 0, -5350800, -4773188000]$	\(y^2=x^3-5350800x-4773188000\)	70.2.0.a.1	$[]$
705600.can1	-	705600.can	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$4423680$	$1.666042$	$-2249728/5$	$0.86008$	$3.44701$	$[0, 0, 0, -109200, 13916000]$	\(y^2=x^3-109200x+13916000\)	70.2.0.a.1	$[]$