Cremona's table of elliptic curves

70350 = 2 · 3 · 5² · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
70350a (1 curve)	1	2+ 3+ 5+ 7+ 67+	2+ 3+ 5+ 7+ -3 -4 -4 -4
Curve Equation t Generators 70350a1 [1,1,0,-210,-1260] 1 [-9:6:1]
70350b (1 curve)	0	2+ 3+ 5+ 7+ 67-	2+ 3+ 5+ 7+ -3  1 -2  7
Curve Equation t 70350b1 [1,1,0,7795,-1035555] 1
70350c (1 curve)	0	2+ 3+ 5+ 7- 67+	2+ 3+ 5+ 7- -3  4 -4  4
Curve Equation t 70350c1 [1,1,0,-2608280,259855680] 1
70350d (2 curves)	2	2+ 3+ 5+ 7- 67+	2+ 3+ 5+ 7- -4 -4  8  0
Curve Equation t Generators 70350d1 [1,1,0,-45500,3714000] 2 [145:365:1]&[-1290:21645:8] 70350d2 [1,1,0,-35500,5404000] 2 [-180:2540:1]&[-124:2876:1]
70350e (4 curves)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7-  0 -6 -6  4
Curve Equation t Generators 70350e1 [1,1,0,3750,436500] 2 [4:670:1] 70350e2 [1,1,0,-68250,6412500] 4 [-100:3550:1] 70350e3 [1,1,0,-215250,-30778500] 2 [-205:2290:1] 70350e4 [1,1,0,-1073250,427507500] 2 [611:258:1]
70350f (1 curve)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7-  2 -1 -6  4
Curve Equation t Generators 70350f1 [1,1,0,-1090759635,13865138229645] 1 [510267:797537:27]
70350g (1 curve)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7-  2  3 -2  8
Curve Equation t Generators 70350g1 [1,1,0,-6105325,-5808972875] 1 [-1038411:550702:729]
70350h (2 curves)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7- -2  2 -2  0
Curve Equation t Generators 70350h1 [1,1,0,-525,10125] 2 [5:-90:1] 70350h2 [1,1,0,-11025,440625] 2 [-25:850:1]
70350i (1 curve)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7- -3 -1 -6 -1
Curve Equation t Generators 70350i1 [1,1,0,-10,-140] 1 [9:20:1]
70350j (2 curves)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7- -4  2  0  4
Curve Equation t Generators 70350j1 [1,1,0,57600,16159500] 2 [-145:2260:1] 70350j2 [1,1,0,-714150,209868750] 2 [275:5725:1]
70350k (1 curve)	1	2+ 3+ 5+ 7- 67-	2+ 3+ 5+ 7- -4 -3  1  2
Curve Equation t Generators 70350k1 [1,1,0,-205,1765] 1 [39:215:1]
70350l (1 curve)	0	2+ 3+ 5- 7+ 67+	2+ 3+ 5- 7+  0 -5 -3 -2
Curve Equation t 70350l1 [1,1,0,-31662325,76897262125] 1
70350m (1 curve)	0	2+ 3+ 5- 7+ 67+	2+ 3+ 5- 7+  0  6 -3  5
Curve Equation t 70350m1 [1,1,0,-2950,-11000] 1
70350n (1 curve)	0	2+ 3+ 5- 7+ 67+	2+ 3+ 5- 7+  3  1  6  7
Curve Equation t 70350n1 [1,1,0,-2550,-50850] 1
70350o (2 curves)	1	2+ 3+ 5- 7- 67+	2+ 3+ 5- 7-  2  4 -6 -2
Curve Equation t Generators 70350o1 [1,1,0,-8325,82125] 2 [-170:4085:8] 70350o2 [1,1,0,31675,682125] 2 [10:995:1]
70350p (1 curve)	1	2+ 3+ 5- 7- 67+	2+ 3+ 5- 7- -2 -6 -1  5
Curve Equation t Generators 70350p1 [1,1,0,-186700,-30926000] 1 [-264:356:1]
70350q (1 curve)	0	2+ 3+ 5- 7- 67-	2+ 3+ 5- 7- -2 -5  6 -4
Curve Equation t 70350q1 [1,1,0,-14325,622125] 1
70350r (1 curve)	0	2+ 3+ 5- 7- 67-	2+ 3+ 5- 7-  6 -3  0 -6
Curve Equation t 70350r1 [1,1,0,-25650,-1562700] 1
70350s (1 curve)	0	2+ 3- 5+ 7+ 67+	2+ 3- 5+ 7+  0  2  1  3
Curve Equation t 70350s1 [1,0,1,-526,-4672] 1
70350t (1 curve)	0	2+ 3- 5+ 7+ 67+	2+ 3- 5+ 7+ -2 -1 -3  2
Curve Equation t 70350t1 [1,0,1,-24076,25108298] 1
70350u (1 curve)	0	2+ 3- 5+ 7+ 67+	2+ 3- 5+ 7+ -2 -1  4  2
Curve Equation t 70350u1 [1,0,1,-588977446,-5501739003442] 1
70350v (2 curves)	0	2+ 3- 5+ 7+ 67+	2+ 3- 5+ 7+ -2  2  0 -4
Curve Equation t 70350v1 [1,0,1,-4212751,3620848898] 2 70350v2 [1,0,1,-69039751,220791298898] 2
70350w (2 curves)	0	2+ 3- 5+ 7+ 67+	2+ 3- 5+ 7+ -2  2 -2 -4
Curve Equation t 70350w1 [1,0,1,64249,13405898] 2 70350w2 [1,0,1,-607751,157213898] 2
70350x (1 curve)	2	2+ 3- 5+ 7+ 67+	2+ 3- 5+ 7+ -2 -4 -5 -7
Curve Equation t Generators 70350x1 [1,0,1,-40121,3090908] 1 [-69:2386:1]&[78:622:1]
70350y (1 curve)	0	2+ 3- 5+ 7+ 67+	2+ 3- 5+ 7+  3 -1  4 -3
Curve Equation t 70350y1 [1,0,1,-7635821,8123469608] 1
70350z (1 curve)	0	2+ 3- 5+ 7+ 67+	2+ 3- 5+ 7+ -5 -1 -6  5
Curve Equation t 70350z1 [1,0,1,-260366,-51157312] 1
70350ba (1 curve)	1	2+ 3- 5+ 7+ 67-	2+ 3- 5+ 7+  1 -3  4 -7
Curve Equation t Generators 70350ba1 [1,0,1,209,1418] 1 [-2:32:1]
70350bb (1 curve)	1	2+ 3- 5+ 7+ 67-	2+ 3- 5+ 7+  2 -6 -7  7
Curve Equation t Generators 70350bb1 [1,0,1,-72626,7527188] 1 [153:-131:1]
70350bc (1 curve)	1	2+ 3- 5+ 7+ 67-	2+ 3- 5+ 7+ -2 -3 -5 -4
Curve Equation t Generators 70350bc1 [1,0,1,-113921846,474909104528] 1 [126317324:76561235157:343]
70350bd (6 curves)	1	2+ 3- 5+ 7+ 67-	2+ 3- 5+ 7+  4 -6 -2 -4
Curve Equation t Generators 70350bd1 [1,0,1,-162376,22005398] 2 [-108:6241:1] 70350bd2 [1,0,1,-674376,-190986602] 4 [1402918:21147882:1331] 70350bd3 [1,0,1,933624,-962826602] 2 [26743000702:-634098401359:32461759] 70350bd4 [1,0,1,-10474376,-13048586602] 4 [4206:129451:1] 70350bd5 [1,0,1,-10159376,-13870106602] 2 [94149792:24967371926:1331] 70350bd6 [1,0,1,-167589376,-835074266602] 2 [-48875627504:24432049238:6539203]
70350be (1 curve)	1	2+ 3- 5+ 7- 67+	2+ 3- 5+ 7- -2 -5  0  6
Curve Equation t Generators 70350be1 [1,0,1,-676,2168] 1 [-14:101:1]
70350bf (1 curve)	1	2+ 3- 5- 7+ 67+	2+ 3- 5- 7+  0 -3  3 -8
Curve Equation t Generators 70350bf1 [1,0,1,25924,-6136702] 1 [396:-8339:1]
70350bg (1 curve)	1	2+ 3- 5- 7+ 67+	2+ 3- 5- 7+  2  1 -6  0
Curve Equation t Generators 70350bg1 [1,0,1,-6442951,-6288307702] 1 [-1448:3086:1]
70350bh (2 curves)	1	2+ 3- 5- 7+ 67+	2+ 3- 5- 7+ -2  6  0 -2
Curve Equation t Generators 70350bh1 [1,0,1,-44078871,-112643973062] 2 [11849891599650102326931736946375:2674182939345384587533555271311996:227699118282292691837890625] 70350bh2 [1,0,1,-44053271,-112781342662] 2 [117789357963904361353:53569733013260419385124:567642984728399]
70350bi (2 curves)	1	2+ 3- 5- 7+ 67+	2+ 3- 5- 7+ -2  6  0  4
Curve Equation t Generators 70350bi1 [1,0,1,10049,-291202] 2 [76:917:1] 70350bi2 [1,0,1,-51201,-2618702] 2 [-148:1386:1]
70350bj (1 curve)	1	2+ 3- 5- 7+ 67+	2+ 3- 5- 7+  3 -3  0  1
Curve Equation t Generators 70350bj1 [1,0,1,-626,-6652] 1 [3396:35588:27]
70350bk (1 curve)	1	2+ 3- 5- 7+ 67+	2+ 3- 5- 7+  4  5 -1 -8
Curve Equation t Generators 70350bk1 [1,0,1,-20101,1095698] 1 [112:446:1]
70350bl (1 curve)	0	2+ 3- 5- 7+ 67-	2+ 3- 5- 7+ -2  2  3  7
Curve Equation t 70350bl1 [1,0,1,-101,-352] 1
70350bm (1 curve)	0	2+ 3- 5- 7+ 67-	2+ 3- 5- 7+ -3 -1 -2 -3
Curve Equation t 70350bm1 [1,0,1,8424,-274202] 1
70350bn (2 curves)	0	2+ 3- 5- 7+ 67-	2+ 3- 5- 7+ -4  2  6 -8
Curve Equation t 70350bn1 [1,0,1,-391826,94512548] 2 70350bn2 [1,0,1,-6271826,6045072548] 2
70350bo (1 curve)	0	2+ 3- 5- 7- 67+	2+ 3- 5- 7-  3  0  0 -4
Curve Equation t 70350bo1 [1,0,1,-52826,4449548] 1
70350bp (1 curve)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7-  1 -5 -8 -3
Curve Equation t Generators 70350bp1 [1,0,1,-2451,55048] 1 [52:236:1]
70350bq (2 curves)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7- -3  2  0 -4
Curve Equation t Generators 70350bq1 [1,0,1,-3076,59648] 3 [-394:2623:8] 70350bq2 [1,0,1,-53701,-4784152] 1 [-134:167:1]
70350br (2 curves)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7- -3  5  0 -7
Curve Equation t Generators 70350br1 [1,0,1,54674,3328298] 3 [352:7961:1] 70350br2 [1,0,1,-573451,-219279202] 1 [67284:1146589:64]
70350bs (2 curves)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7- -3  5  6  5
Curve Equation t Generators 70350bs1 [1,0,1,-15201,9256798] 3 [-434:25413:8] 70350bs2 [1,0,1,136674,-248626952] 1 [1088:-35016:1]
70350bt (2 curves)	1	2+ 3- 5- 7- 67-	2+ 3- 5- 7-  6  5 -3  2
Curve Equation t Generators 70350bt1 [1,0,1,-370248701,3664377305048] 3 [30210966:58692763463:8] 70350bt2 [1,0,1,2887081924,-43038320173702] 1 [30300309090465414:58871693868450205471:8024024008]
70350bu (4 curves)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+  0  2 -6  0
Curve Equation t 70350bu1 [1,1,1,-820938,707031] 4 70350bu2 [1,1,1,-9012938,-10386748969] 4 70350bu3 [1,1,1,-5012938,-19650748969] 2 70350bu4 [1,1,1,-144084938,-665756092969] 2
70350bv (4 curves)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+  0 -2  0 -4
Curve Equation t 70350bv1 [1,1,1,-80688,10424781] 2 70350bv2 [1,1,1,-1356438,607475781] 2 70350bv3 [1,1,1,577437,-67942719] 2 70350bv4 [1,1,1,-2509563,-568036719] 2
70350bw (1 curve)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+  1  5  8 -3
Curve Equation t 70350bw1 [1,1,1,-98,401] 1
70350bx (2 curves)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+ -3 -2  0 -4
Curve Equation t 70350bx1 [1,1,1,-76888,7456031] 1 70350bx2 [1,1,1,-1342513,-598018969] 1
70350by (2 curves)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+ -3 -5  0 -7
Curve Equation t 70350by1 [1,1,1,2187,27501] 1 70350by2 [1,1,1,-22938,-1763409] 1
70350bz (2 curves)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+ -3 -5 -6  5
Curve Equation t 70350bz1 [1,1,1,-608,73811] 1 70350bz2 [1,1,1,5467,-1986829] 1
70350ca (2 curves)	0	2- 3+ 5+ 7+ 67+	2- 3+ 5+ 7+  6 -5  3  2
Curve Equation t 70350ca1 [1,1,1,-14809948,29309094461] 1 70350ca2 [1,1,1,115483277,-344260368079] 1
70350cb (2 curves)	1	2- 3+ 5+ 7+ 67-	2- 3+ 5+ 7+ -2  6  4  4
Curve Equation t Generators 70350cb1 [1,1,1,-34838,-3615469] 2 [465:8767:1] 70350cb2 [1,1,1,-622838,-189423469] 2 [955:8897:1]
70350cc (1 curve)	1	2- 3+ 5+ 7+ 67-	2- 3+ 5+ 7+  3  0  0 -4
Curve Equation t Generators 70350cc1 [1,1,1,-2113,34751] 1 [-1:192:1]
70350cd (4 curves)	1	2- 3+ 5+ 7+ 67-	2- 3+ 5+ 7+  4  6 -2 -8
Curve Equation t Generators 70350cd1 [1,1,1,-34863928313,2732413313257031] 2 [3905430927897865:2524184373769054456:76603177223] 70350cd2 [1,1,1,-571734840313,166393215869161031] 4 [92065555:47526007176:125] 70350cd3 [1,1,1,-585669432313,157856020865257031] 2 [37026817617355925:49100275063189790552:204440562971] 70350cd4 [1,1,1,-9147734840313,10649232511869161031] 2 [579233041045915:41055141130029128:321419125]
70350ce (4 curves)	1	2- 3+ 5+ 7+ 67-	2- 3+ 5+ 7+ -4 -2 -2  0
Curve Equation t Generators 70350ce1 [1,1,1,4462,-127969] 2 [89:947:1] 70350ce2 [1,1,1,-27538,-1279969] 4 [-95:747:1] 70350ce3 [1,1,1,-161538,23912031] 2 [451:6335:1] 70350ce4 [1,1,1,-405538,-99559969] 2 [-365:207:1]
70350cf (1 curve)	1	2- 3+ 5+ 7- 67+	2- 3+ 5+ 7- -2 -2 -3  7
Curve Equation t Generators 70350cf1 [1,1,1,-2513,-43969] 1 [-31:88:1]
70350cg (1 curve)	1	2- 3+ 5+ 7- 67+	2- 3+ 5+ 7- -3  1  2 -3
Curve Equation t Generators 70350cg1 [1,1,1,337,-2059] 1 [11:50:1]
70350ch (1 curve)	0	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7-  0  3 -3 -8
Curve Equation t 70350ch1 [1,1,1,1037,-48679] 1
70350ci (1 curve)	0	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7-  2 -1  6  0
Curve Equation t 70350ci1 [1,1,1,-257718,-50409549] 1
70350cj (1 curve)	0	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7-  3  3  0  1
Curve Equation t 70350cj1 [1,1,1,-15638,-831469] 1
70350ck (1 curve)	0	2- 3+ 5+ 7- 67-	2- 3+ 5+ 7-  4 -5  1 -8
Curve Equation t 70350ck1 [1,1,1,-502513,136962281] 1
70350cl (1 curve)	0	2- 3+ 5- 7+ 67-	2- 3+ 5- 7+ -2  5  0  6
Curve Equation t 70350cl1 [1,1,1,-16888,271031] 1
70350cm (1 curve)	0	2- 3+ 5- 7- 67+	2- 3+ 5- 7-  1  3 -4 -7
Curve Equation t 70350cm1 [1,1,1,5237,177281] 1
70350cn (1 curve)	0	2- 3+ 5- 7- 67+	2- 3+ 5- 7-  2  6  7  7
Curve Equation t 70350cn1 [1,1,1,-1815638,940898531] 1
70350co (1 curve)	0	2- 3+ 5- 7- 67+	2- 3+ 5- 7- -2  3  5 -4
Curve Equation t 70350co1 [1,1,1,-2848046138,59363638066031] 1
70350cp (2 curves)	2	2- 3+ 5- 7- 67+	2- 3+ 5- 7- -4 -2 -6 -8
Curve Equation t Generators 70350cp1 [1,1,1,-15673,749831] 2 [-91:1242:1]&[79:-152:1] 70350cp2 [1,1,1,-250873,48260231] 2 [-465:8272:1]&[205:2242:1]
70350cq (1 curve)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7-  0 -2 -1  3
Curve Equation t Generators 70350cq1 [1,1,1,-13138,-583969] 1 [-65:57:1]
70350cr (1 curve)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7- -2  1  3  2
Curve Equation t Generators 70350cr1 [1,1,1,-963,200481] 1 [51:510:1]
70350cs (1 curve)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7- -2  1 -4  2
Curve Equation t Generators 70350cs1 [1,1,1,-14724436138,-687717375430219] 1 [-1769460863489910:891711285904153:25256916504]
70350ct (1 curve)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7- -2  4  5 -7
Curve Equation t Generators 70350ct1 [1,1,1,-1003013,386363531] 1 [1335:37132:1]
70350cu (2 curves)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7- -2 -6  0 -2
Curve Equation t Generators 70350cu1 [1,1,1,-1101971763,-14080496632719] 2 [69639:15678422:1] 70350cu2 [1,1,1,-1101331763,-14097667832719] 2 [263901:134309110:1]
70350cv (2 curves)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7- -2 -6  0  4
Curve Equation t Generators 70350cv1 [1,1,1,402,-2169] 2 [110:571:8] 70350cv2 [1,1,1,-2048,-21769] 2 [558:3119:8]
70350cw (1 curve)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7-  3  1 -4 -3
Curve Equation t Generators 70350cw1 [1,1,1,-190895513,1015433701031] 1 [2735:715432:1]
70350cx (1 curve)	1	2- 3+ 5- 7- 67-	2- 3+ 5- 7- -5  1  6  5
Curve Equation t Generators 70350cx1 [1,1,1,-6509138,-6394663969] 1 [178469:75298567:1]
70350cy (4 curves)	1	2- 3- 5+ 7+ 67+	2- 3- 5+ 7+  0 -6 -6  0
Curve Equation t Generators 70350cy1 [1,0,0,-99063,11992617] 4 [-138:4869:1] 70350cy2 [1,0,0,-101063,11482617] 4 [292:-2771:1] 70350cy3 [1,0,0,101437,51780117] 2 [22:-7361:1] 70350cy4 [1,0,0,-335563,-61446883] 2 [-262:3047:1]
70350cz (1 curve)	1	2- 3- 5+ 7+ 67+	2- 3- 5+ 7+ -2  5 -6 -4
Curve Equation t Generators 70350cz1 [1,0,0,-573,4977] 1 [6:-45:1]
70350da (1 curve)	1	2- 3- 5+ 7+ 67+	2- 3- 5+ 7+  6  3  0 -6
Curve Equation t Generators 70350da1 [1,0,0,-641263,-194054983] 1 [-482:2005:1]
70350db (1 curve)	0	2- 3- 5+ 7+ 67-	2- 3- 5+ 7+ -2  6  1  5
Curve Equation t 70350db1 [1,0,0,-7468,-247408] 1
70350dc (2 curves)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7-  0  0  0 -4
Curve Equation t Generators 70350dc1 [1,0,0,-250688,-48331008] 2 [612:4944:1] 70350dc2 [1,0,0,-240688,-52361008] 2 [1162:34594:1]
70350dd (1 curve)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7-  0  5  3 -2
Curve Equation t Generators 70350dd1 [1,0,0,-1266493,615178097] 1 [416:-12871:1]
70350de (1 curve)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7-  0 -6  3  5
Curve Equation t Generators 70350de1 [1,0,0,-118,-88] 1 [-4:20:1]
70350df (1 curve)	1	2- 3- 5+ 7- 67-	2- 3- 5+ 7-  3 -1 -6  7
Curve Equation t Generators 70350df1 [1,0,0,-63763,-6228733] 1 [19124:66731:64]
70350dg (1 curve)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+  2  1  6  4
Curve Equation t 70350dg1 [1,0,0,-27268990888,1733196816687392] 1
70350dh (1 curve)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+  2 -3  2  8
Curve Equation t 70350dh1 [1,0,0,-244213,-46471783] 1
70350di (1 curve)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+ -3  1  6 -1
Curve Equation t 70350di1 [1,0,0,-263,-16983] 1
70350dj (1 curve)	0	2- 3- 5- 7+ 67+	2- 3- 5- 7+ -4  3 -1  2
Curve Equation t 70350dj1 [1,0,0,-5138,230892] 1
70350dk (2 curves)	1	2- 3- 5- 7+ 67-	2- 3- 5- 7+  2 -4  6 -2
Curve Equation t Generators 70350dk1 [1,0,0,-333,657] 2 [-18:39:1] 70350dk2 [1,0,0,1267,5457] 2 [22:-221:1]
70350dl (1 curve)	1	2- 3- 5- 7+ 67-	2- 3- 5- 7+ -3 -4  4  4
Curve Equation t Generators 70350dl1 [1,0,0,-65207013,32612374017] 1 [402:80199:1]
70350dm (1 curve)	1	2- 3- 5- 7- 67+	2- 3- 5- 7- -3 -1  2  7
Curve Equation t Generators 70350dm1 [1,0,0,194862,-129834108] 1 [1452:55974:1]
70350dn (1 curve)	0	2- 3- 5- 7- 67-	2- 3- 5- 7- -3  4  4 -4
Curve Equation t 70350dn1 [1,0,0,-5263,-146983] 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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