Cremona's table of elliptic curves

102850 = 2 · 5² · 11² · 17

Class	r	Atkin-Lehner	Eigenvalues
102850a (1 curve)	1	2+ 5+ 11+ 17+	2+  0 5+ -3 11+ -2 17+  2
Curve Equation t Generators 102850a1 [1,-1,0,-1629227,800855941] 1 [18066:76151:27]
102850b (1 curve)	0	2+ 5+ 11- 17+	2+  0 5+  1 11-  4 17+ -2
Curve Equation t 102850b1 [1,-1,0,-51992,4491416] 1
102850c (1 curve)	0	2+ 5+ 11- 17+	2+  0 5+  1 11-  4 17+  7
Curve Equation t 102850c1 [1,-1,0,-17,391] 1
102850d (2 curves)	0	2+ 5+ 11- 17+	2+  0 5+ -2 11- -2 17+  4
Curve Equation t 102850d1 [1,-1,0,-97367,1360541] 2 102850d2 [1,-1,0,386633,10556541] 2
102850e (1 curve)	0	2+ 5+ 11- 17+	2+  1 5+ -1 11- -3 17+  8
Curve Equation t 102850e1 [1,0,1,-8231,-370262] 1
102850f (2 curves)	0	2+ 5+ 11- 17+	2+ -1 5+  2 11-  5 17+  1
Curve Equation t 102850f1 [1,1,0,-7625,-1077875] 1 102850f2 [1,1,0,68000,27584000] 1
102850g (1 curve)	0	2+ 5+ 11- 17+	2+ -1 5+  3 11-  4 17+ -6
Curve Equation t 102850g1 [1,1,0,-13784025,-19703694875] 1
102850h (2 curves)	0	2+ 5+ 11- 17+	2+ -1 5+ -3 11-  1 17+  0
Curve Equation t 102850h1 [1,1,0,-3258290,-4858683980] 1 102850h2 [1,1,0,-87348450,617430386500] 1
102850i (2 curves)	0	2+ 5+ 11- 17+	2+  2 5+ -1 11- -4 17+ -2
Curve Equation t 102850i1 [1,1,0,376550,-81013500] 1 102850i2 [1,1,0,-3782825,4107477125] 1
102850j (2 curves)	0	2+ 5+ 11- 17+	2+  2 5+ -1 11- -4 17+ -8
Curve Equation t 102850j1 [1,1,0,-886085,-321409645] 1 102850j2 [1,1,0,-1252110,-31737460] 1
102850k (1 curve)	0	2+ 5+ 11- 17+	2+  2 5+  3 11-  4 17+  0
Curve Equation t 102850k1 [1,1,0,-255,1445] 1
102850l (1 curve)	0	2+ 5+ 11- 17+	2+  2 5+ -3 11-  0 17+ -6
Curve Equation t 102850l1 [1,1,0,-48765,-3875395] 1
102850m (2 curves)	1	2+ 5+ 11- 17-	2+  0 5+  0 11- -6 17- -2
Curve Equation t Generators 102850m1 [1,-1,0,1617808,156201216] 2 [-218:84809:8] 102850m2 [1,-1,0,-6610192,1266981216] 2 [191270:29308817:8]
102850n (2 curves)	1	2+ 5+ 11- 17-	2+  0 5+ -4 11-  2 17-  2
Curve Equation t Generators 102850n1 [1,-1,0,-133667,20502741] 2 [179:-1602:1] 102850n2 [1,-1,0,-2190667,1248531741] 2 [-811:50318:1]
102850o (1 curve)	1	2+ 5+ 11- 17-	2+  1 5+ -2 11-  5 17-  5
Curve Equation t Generators 102850o1 [1,0,1,-887901,-326040552] 1 [4417708417878:117605699380114:2979767519]
102850p (1 curve)	1	2+ 5+ 11- 17-	2+ -1 5+  0 11- -3 17- -3
Curve Equation t Generators 102850p1 [1,1,0,231350,662289500] 1 [-5:25715:1]
102850q (2 curves)	1	2+ 5+ 11- 17-	2+ -1 5+ -1 11- -1 17- -2
Curve Equation t Generators 102850q1 [1,1,0,-682200,-377463500] 1 [1194:22030:1] 102850q2 [1,1,0,5745925,7008452125] 1 [-167958:21986915:343]
102850r (1 curve)	1	2+ 5+ 11- 17-	2+ -1 5+  3 11-  3 17- -6
Curve Equation t Generators 102850r1 [1,1,0,-2047080,1302594880] 1 [2701:123098:1]
102850s (2 curves)	1	2+ 5+ 11- 17-	2+ -1 5+ -4 11-  5 17-  1
Curve Equation t Generators 102850s1 [1,1,0,-58998150,-174448396250] 1 [1737975:436783475:27] 102850s2 [1,1,0,-51027275,-223260234875] 1 [504035360034270:126761464622887315:7833173256]
102850t (1 curve)	1	2+ 5+ 11- 17-	2+ -1 5+ -5 11-  3 17-  2
Curve Equation t Generators 102850t1 [1,1,0,164195,4226765] 1 [589:17190:1]
102850u (4 curves)	1	2+ 5+ 11- 17-	2+  2 5+  2 11-  2 17- -8
Curve Equation t Generators 102850u1 [1,1,0,-7724400,-8266240000] 2 [9228550800:9207724494800:9261] 102850u2 [1,1,0,-7482400,-8808078000] 2 [3985980:7955983260:1] 102850u3 [1,1,0,-12609775,3384865125] 2 [1281686627449279715323252179090:1278791701279375950439173822332855:1286191998582317581540527] 102850u4 [1,1,0,49342225,26864673125] 2 [83712421753286210:167089543685948356895:21001731479]
102850v (2 curves)	1	2+ 5+ 11- 17-	2+  2 5+ -2 11- -6 17-  8
Curve Equation t Generators 102850v1 [1,1,0,-22750,-1153500] 2 [49080:2061310:27] 102850v2 [1,1,0,37750,-6175000] 2 [130:910:1]
102850w (1 curve)	1	2+ 5+ 11- 17-	2+  2 5+  3 11-  6 17-  0
Curve Equation t Generators 102850w1 [1,1,0,-15325,352125] 1 [-24633:370215:343]
102850x (2 curves)	1	2+ 5+ 11- 17-	2+  2 5+  5 11- -4 17- -2
Curve Equation t Generators 102850x1 [1,1,0,-436125505,-3507055625355] 1 [1273705671126:328341514190229:17373979] 102850x2 [1,1,0,292103920,-13601709495040] 1 [34401861846974384359830302714739808:9276918837525090267468201364673405392:480733879075496547091049396287]
102850y (1 curve)	1	2+ 5+ 11- 17-	2+ -2 5+ -2 11- -7 17-  5
Curve Equation t Generators 102850y1 [1,0,1,5079,-383572] 1 [98:-1078:1]
102850z (1 curve)	1	2+ 5+ 11- 17-	2+ -2 5+ -5 11-  2 17-  8
Curve Equation t Generators 102850z1 [1,0,1,-586,-5502] 1 [-14:7:1]
102850ba (1 curve)	1	2+ 5+ 11- 17-	2+  3 5+  0 11- -3 17-  1
Curve Equation t Generators 102850ba1 [1,-1,0,-111426442,452754825716] 1 [3322066558386:132353843032057:714516984]
102850bb (1 curve)	1	2+ 5+ 11- 17-	2+  3 5+ -1 11-  3 17- -6
Curve Equation t Generators 102850bb1 [1,-1,0,23633,-2995459] 1 [2721:15761:27]
102850bc (1 curve)	1	2+ 5+ 11- 17-	2+ -3 5+  2 11- -3 17- -3
Curve Equation t Generators 102850bc1 [1,-1,0,-30817,2092591] 1 [179:1423:1]
102850bd (1 curve)	1	2+ 5+ 11- 17-	2+ -3 5+  5 11- -1 17-  2
Curve Equation t Generators 102850bd1 [1,-1,0,-61672,-5880704] 1 [443:7099:1]
102850be (2 curves)	0	2+ 5- 11+ 17+	2+  0 5-  2 11+ -2 17+  2
Curve Equation t 102850be1 [1,-1,0,-127,-819] 2 102850be2 [1,-1,0,-2327,-42619] 2
102850bf (2 curves)	0	2+ 5- 11+ 17+	2+  0 5-  2 11+ -2 17+ -2
Curve Equation t 102850bf1 [1,-1,0,-384742,141644916] 2 102850bf2 [1,-1,0,-7039742,7189289916] 2
102850bg (1 curve)	0	2+ 5- 11+ 17+	2+  0 5- -3 11+ -2 17+ -2
Curve Equation t 102850bg1 [1,-1,0,-336617,-75089459] 1
102850bh (2 curves)	1	2+ 5- 11+ 17-	2+  0 5-  4 11+  2 17-  8
Curve Equation t Generators 102850bh1 [1,-1,0,-74762,8004596] 2 [179:488:1] 102850bh2 [1,-1,0,-1201162,506999796] 2 [644:158:1]
102850bi (2 curves)	1	2+ 5- 11+ 17-	2+  0 5-  4 11+  2 17- -8
Curve Equation t Generators 102850bi1 [1,-1,0,-226155617,-1328598483459] 2 [3329321365232254147582556713282815288706912710:504366302234466778860332553829847197024771112733:105384415034950351547400214625082710507707] 102850bi2 [1,-1,0,-3633515617,-84301221843459] 2 [4725296892442391611827446:1433684615915118532211890277:37387659904204422259]
102850bj (1 curve)	1	2+ 5- 11- 17+	2+  0 5-  1 11-  4 17+  2
Curve Equation t Generators 102850bj1 [1,-1,0,-251642,-47623284] 1 [-41263839:151573221:148877]
102850bk (2 curves)	1	2+ 5- 11- 17+	2+  1 5-  1 11-  1 17+ -8
Curve Equation t Generators 102850bk1 [1,0,1,-183076,248691298] 1 [-298:16786:1] 102850bk2 [1,0,1,-36180576,83762891298] 1 [74982:1814582:27]
102850bl (1 curve)	1	2+ 5- 11- 17+	2+  1 5- -3 11-  2 17+  4
Curve Equation t Generators 102850bl1 [1,0,1,18994,77380708] 1 [1456:55771:1]
102850bm (1 curve)	1	2+ 5- 11- 17+	2+ -1 5- -1 11-  1 17+ -4
Curve Equation t Generators 102850bm1 [1,1,0,16575,-37160075] 1 [42330:319571:125]
102850bn (1 curve)	1	2+ 5- 11- 17+	2+ -1 5- -3 11-  2 17+ -4
Curve Equation t Generators 102850bn1 [1,1,0,3925,-7265375] 1 [231:2341:1]
102850bo (2 curves)	1	2+ 5- 11- 17+	2+ -2 5- -1 11- -4 17+  8
Curve Equation t Generators 102850bo1 [1,0,1,-183076,30135048] 3 [366:37213:8] 102850bo2 [1,0,1,-258701,2910048] 1 [-5574:670847:216]
102850bp (1 curve)	1	2+ 5- 11- 17+	2+ -2 5-  2 11-  1 17+  3
Curve Equation t Generators 102850bp1 [1,0,1,-13810701,26055299048] 1 [1893310:80876191:1000]
102850bq (1 curve)	1	2+ 5- 11- 17+	2+ -2 5-  3 11-  4 17+  0
Curve Equation t Generators 102850bq1 [1,0,1,-772951,-258177702] 1 [-4434:3913:8]
102850br (1 curve)	1	2+ 5- 11- 17+	2+ -2 5- -3 11-  0 17+  6
Curve Equation t Generators 102850br1 [1,0,1,-147515701,641375994048] 1 [40214:1291371:8]
102850bs (1 curve)	0	2+ 5- 11- 17-	2+ -1 5-  0 11-  3 17-  7
Curve Equation t 102850bs1 [1,1,0,-2180,-52400] 1
102850bt (2 curves)	0	2+ 5- 11- 17-	2+  2 5-  0 11-  6 17- -2
Curve Equation t 102850bt1 [1,1,0,9920,806700] 2 102850bt2 [1,1,0,-92930,9343250] 2
102850bu (2 curves)	0	2+ 5- 11- 17-	2+  2 5-  0 11- -6 17- -8
Curve Equation t 102850bu1 [1,1,0,-14903330,22222819700] 2 102850bu2 [1,1,0,-238704930,1419416208500] 2
102850bv (1 curve)	0	2+ 5- 11- 17-	2+  2 5- -5 11-  2 17- -8
Curve Equation t 102850bv1 [1,1,0,-1771200,906497750] 1
102850bw (2 curves)	0	2+ 5- 11- 17-	2+ -2 5- -2 11-  1 17-  7
Curve Equation t 102850bw1 [1,0,1,-999826,-384882852] 1 102850bw2 [1,0,1,-848576,-505253652] 1
102850bx (1 curve)	0	2+ 5- 11- 17-	2+ -2 5-  3 11-  6 17-  0
Curve Equation t 102850bx1 [1,0,1,-74176,-3823602] 1
102850by (1 curve)	0	2+ 5- 11- 17-	2+  3 5-  1 11-  2 17-  0
Curve Equation t 102850by1 [1,-1,0,-25867,1657541] 1
102850bz (1 curve)	0	2+ 5- 11- 17-	2+ -3 5-  1 11-  2 17-  0
Curve Equation t 102850bz1 [1,-1,0,-125197,-17549339] 1
102850ca (1 curve)	1	2- 5+ 11+ 17-	2-  0 5+  3 11+  2 17- -2
Curve Equation t Generators 102850ca1 [1,-1,1,-13465,-598023] 1 [135:108:1]
102850cb (2 curves)	1	2- 5+ 11- 17+	2- -1 5+  2 11- -1 17+  1
Curve Equation t Generators 102850cb1 [1,1,1,1206912,158933281] 1 [325:24037:1] 102850cb2 [1,1,1,-20089088,35765845281] 1 [1645:83877:1]
102850cc (2 curves)	1	2- 5+ 11- 17+	2-  2 5+  2 11- -1 17+  7
Curve Equation t Generators 102850cc1 [1,1,1,-24995638,-48110356469] 1 [26625232114130808916036178865:535623527407362920770965663517:4463114235505496346742875] 102850cc2 [1,1,1,-21214388,-63156706469] 1 [33804857785930531293474721099997894079653246800514665259135203100567432742520841599470:697125680816722394848306444265095371060800425090342598749924005488446432688597177417101:5749355698444337404257815615798366541171846996489989424430751253760905468628113000]
102850cd (1 curve)	1	2- 5+ 11- 17+	2-  2 5+ -3 11- -6 17+  0
Curve Equation t Generators 102850cd1 [1,1,1,-1854388,-477950219] 1 [1489:7313:1]
102850ce (4 curves)	1	2- 5+ 11- 17+	2-  2 5+ -4 11-  2 17+  4
Curve Equation t Generators 102850ce1 [1,1,1,-9138,-211969] 2 [-915:7069:27] 102850ce2 [1,1,1,-130138,-18119969] 2 [-702435:138749:3375] 102850ce3 [1,1,1,-311638,66822031] 2 [-40401530:-18693749563:2197000] 102850ce4 [1,1,1,-341888,53028031] 2 [-830921648892270:186869105477207687:23076099423000]
102850cf (1 curve)	1	2- 5+ 11- 17+	2- -2 5+  5 11- -2 17+ -8
Curve Equation t Generators 102850cf1 [1,0,0,-70848,7251982] 1 [10644:12341:64]
102850cg (1 curve)	0	2- 5+ 11- 17-	2-  0 5+ -1 11- -4 17-  2
Curve Equation t 102850cg1 [1,-1,1,-6291055,-5959201553] 1
102850ch (1 curve)	0	2- 5+ 11- 17-	2-  0 5+ -1 11- -4 17- -7
Curve Equation t 102850ch1 [1,-1,1,-2080,-514203] 1
102850ci (1 curve)	0	2- 5+ 11- 17-	2-  1 5+  1 11- -1 17- -4
Curve Equation t 102850ci1 [1,0,0,414362,-4645838108] 1
102850cj (2 curves)	0	2- 5+ 11- 17-	2-  1 5+ -2 11- -1 17-  5
Curve Equation t 102850cj1 [1,0,0,-7380500938,-244328813644508] 1 102850cj2 [1,0,0,52282784062,2853096530720492] 1
102850ck (2 curves)	2	2- 5+ 11- 17-	2- -1 5+ -1 11- -1 17- -8
Curve Equation t Generators 102850ck1 [1,1,1,-7323,1986601] 1 [61:-1362:1]&[149:1982:1] 102850ck2 [1,1,1,-1447223,669524241] 1 [699:-108:1]&[11598:316299:8]
102850cl (1 curve)	0	2- 5+ 11- 17-	2- -1 5+ -3 11- -4 17-  6
Curve Equation t 102850cl1 [1,1,1,-1667867088,26217278543281] 1
102850cm (1 curve)	0	2- 5+ 11- 17-	2- -1 5+  4 11- -1 17- -3
Curve Equation t 102850cm1 [1,1,1,15062,907281] 1
102850cn (2 curves)	0	2- 5+ 11- 17-	2-  2 5+  1 11-  4 17-  8
Curve Equation t 102850cn1 [1,1,1,-7323,238151] 1 102850cn2 [1,1,1,-10348,19141] 1
102850co (1 curve)	0	2- 5+ 11- 17-	2-  2 5+ -2 11- -1 17-  3
Curve Equation t 102850co1 [1,1,1,-552428,208221421] 1
102850cp (1 curve)	0	2- 5+ 11- 17-	2-  2 5+  3 11-  0 17-  6
Curve Equation t 102850cp1 [1,1,1,-5900628,5128647701] 1
102850cq (1 curve)	0	2- 5+ 11- 17-	2-  2 5+ -3 11- -4 17-  0
Curve Equation t 102850cq1 [1,1,1,-30918,-2077789] 1
102850cr (1 curve)	0	2- 5+ 11- 17-	2-  3 5+ -4 11- -1 17- -7
Curve Equation t 102850cr1 [1,-1,1,-262230,-462056603] 1
102850cs (2 curves)	1	2- 5- 11+ 17+	2-  0 5- -4 11+ -2 17+  8
Curve Equation t Generators 102850cs1 [1,-1,1,-1869055,998705447] 2 [1235:23318:1] 102850cs2 [1,-1,1,-30029055,63344945447] 2 [2819:31590:1]
102850ct (2 curves)	1	2- 5- 11+ 17+	2-  0 5- -4 11+ -2 17+ -8
Curve Equation t Generators 102850ct1 [1,-1,1,-9046225,-10626978623] 2 [8599:735540:1] 102850ct2 [1,-1,1,-145340625,-674380706623] 2 [13923:22516:1]
102850cu (2 curves)	0	2- 5- 11+ 17-	2-  0 5- -2 11+  2 17-  2
Curve Equation t 102850cu1 [1,-1,1,-3180,-105553] 2 102850cu2 [1,-1,1,-58180,-5385553] 2
102850cv (2 curves)	0	2- 5- 11+ 17-	2-  0 5- -2 11+  2 17- -2
Curve Equation t 102850cv1 [1,-1,1,-15390,1136237] 2 102850cv2 [1,-1,1,-281590,57570637] 2
102850cw (1 curve)	0	2- 5- 11+ 17-	2-  0 5-  3 11+  2 17-  2
Curve Equation t 102850cw1 [1,-1,1,-40730680,100066261947] 1
102850cx (1 curve)	0	2- 5- 11- 17+	2-  1 5-  0 11- -3 17+  7
Curve Equation t 102850cx1 [1,0,0,-54513,-6440983] 1
102850cy (2 curves)	0	2- 5- 11- 17+	2-  1 5-  1 11-  1 17+ -2
Curve Equation t 102850cy1 [1,0,0,-27288,-3019708] 1 102850cy2 [1,0,0,229837,56067617] 1
102850cz (1 curve)	2	2- 5- 11- 17+	2-  1 5- -3 11- -3 17+ -6
Curve Equation t Generators 102850cz1 [1,0,0,-51177013,162926714017] 1 [5202:190999:1]&[-1134:469079:1]
102850da (1 curve)	0	2- 5- 11- 17+	2-  1 5-  5 11- -3 17+  2
Curve Equation t 102850da1 [1,0,0,4104862,520135892] 1
102850db (1 curve)	0	2- 5- 11- 17+	2-  2 5-  2 11-  7 17+  5
Curve Equation t 102850db1 [1,1,1,126987,-47946469] 1
102850dc (1 curve)	0	2- 5- 11- 17+	2-  2 5-  5 11- -2 17+  8
Curve Equation t 102850dc1 [1,1,1,-14638,-687719] 1
102850dd (2 curves)	0	2- 5- 11- 17+	2- -2 5-  0 11-  6 17+ -8
Curve Equation t 102850dd1 [1,0,0,-372583263,2778597629017] 2 102850dd2 [1,0,0,-5967623263,177438961309017] 2
102850de (2 curves)	0	2- 5- 11- 17+	2- -2 5-  0 11- -6 17+ -2
Curve Equation t 102850de1 [1,0,0,247987,100341517] 2 102850de2 [1,0,0,-2323263,1172552767] 2
102850df (1 curve)	2	2- 5- 11- 17+	2- -2 5- -3 11- -6 17+  0
Curve Equation t Generators 102850df1 [1,0,0,-613,2817] 1 [26:-81:1]&[-18:99:1]
102850dg (2 curves)	0	2- 5- 11- 17+	2- -2 5- -5 11-  4 17+ -2
Curve Equation t 102850dg1 [1,0,0,-10903137638,-438360146894108] 1 102850dg2 [1,0,0,7302597987,-1700228292075983] 1
102850dh (1 curve)	0	2- 5- 11- 17+	2-  3 5- -1 11- -2 17+  0
Curve Equation t 102850dh1 [1,-1,1,-3129930,-2196797303] 1
102850di (1 curve)	0	2- 5- 11- 17+	2-  3 5- -5 11-  1 17+  2
Curve Equation t 102850di1 [1,-1,1,-1541805,-736629803] 1
102850dj (1 curve)	2	2- 5- 11- 17+	2- -3 5-  1 11- -3 17+ -6
Curve Equation t Generators 102850dj1 [1,-1,1,945,-24153] 1 [69:570:1]&[25:108:1]
102850dk (1 curve)	2	2- 5- 11- 17+	2- -3 5- -1 11- -2 17+  0
Curve Equation t Generators 102850dk1 [1,-1,1,-1035,13467] 1 [29:-100:1]&[-21:170:1]
102850dl (1 curve)	1	2- 5- 11- 17-	2-  0 5- -1 11- -4 17- -2
Curve Equation t Generators 102850dl1 [1,-1,1,-2080,36347] 1 [23:5:1]
102850dm (2 curves)	1	2- 5- 11- 17-	2-  1 5-  3 11- -1 17-  0
Curve Equation t Generators 102850dm1 [1,0,0,-3493938,4939443092] 1 [1545586:96663062:343] 102850dm2 [1,0,0,-81457263,-607172582983] 1 [109702:36148349:1]
102850dn (1 curve)	1	2- 5- 11- 17-	2-  1 5-  3 11- -2 17- -4
Curve Equation t Generators 102850dn1 [1,0,0,157,-58123] 1 [1074:2353:27]
102850do (1 curve)	1	2- 5- 11- 17-	2- -1 5-  1 11-  3 17-  8
Curve Equation t Generators 102850do1 [1,1,1,-205763,-46282719] 1 [2635:131782:1]
102850dp (1 curve)	1	2- 5- 11- 17-	2- -1 5-  3 11- -2 17-  4
Curve Equation t Generators 102850dp1 [1,1,1,474862,9672588531] 1 [49185:10885157:1]
102850dq (2 curves)	1	2- 5- 11- 17-	2- -2 5-  1 11-  4 17- -2
Curve Equation t Generators 102850dq1 [1,0,0,15062,-648108] 1 [98:-1380:1] 102850dq2 [1,0,0,-151313,32859817] 1 [1066:32379:1]
102850dr (2 curves)	1	2- 5- 11- 17-	2- -2 5-  1 11-  4 17- -8
Curve Equation t Generators 102850dr1 [1,0,0,-22152138,-40131901358] 1 [-3158646624756:1463787568315:1164252608] 102850dr2 [1,0,0,-31302763,-3904576983] 1 [-3604:251005:1]
102850ds (1 curve)	1	2- 5- 11- 17-	2- -2 5-  3 11-  0 17- -6
Curve Equation t Generators 102850ds1 [1,0,0,-1219138,-481986108] 1 [-748:3774:1]
102850dt (1 curve)	1	2- 5- 11- 17-	2- -2 5- -3 11- -4 17-  0
Curve Equation t Generators 102850dt1 [1,0,0,-6388,193392] 1 [2:424:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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