Cremona's table of elliptic curves

52470 = 2 · 3² · 5 · 11 · 53

Class	r	Atkin-Lehner	Eigenvalues
52470a (2 curves)	1	2+ 3+ 5+ 11- 53-	2+ 3+ 5+  0 11- -2  8  4
Curve Equation t Generators 52470a1 [1,-1,0,-150,-524] 2 [21:62:1] 52470a2 [1,-1,0,330,-3500] 2 [17:74:1]
52470b (2 curves)	1	2+ 3+ 5+ 11- 53-	2+ 3+ 5+  2 11-  2  2 -4
Curve Equation t Generators 52470b1 [1,-1,0,10650,6177716] 2 [92:2770:1] 52470b2 [1,-1,0,-447270,111590900] 2 [-4:10650:1]
52470c (6 curves)	0	2+ 3- 5+ 11+ 53+	2+ 3- 5+  0 11+ -2  6 -4
Curve Equation t 52470c1 [1,-1,0,-106425,-60509075] 2 52470c2 [1,-1,0,-3055545,-2048805779] 4 52470c3 [1,-1,0,-4449465,8898925] 4 52470c4 [1,-1,0,-48847545,-131392888979] 2 52470c5 [1,-1,0,17797815,57842941] 2 52470c6 [1,-1,0,-48999465,131636328925] 2
52470d (1 curve)	0	2+ 3- 5+ 11+ 53+	2+ 3- 5+ -2 11+  1  5  3
Curve Equation t 52470d1 [1,-1,0,577170,-239585324] 1
52470e (1 curve)	0	2+ 3- 5+ 11+ 53+	2+ 3- 5+ -2 11+  7  2  0
Curve Equation t 52470e1 [1,-1,0,-5355,-149675] 1
52470f (1 curve)	1	2+ 3- 5+ 11+ 53-	2+ 3- 5+  0 11+ -3  0 -2
Curve Equation t Generators 52470f1 [1,-1,0,-14292090,-20918260044] 1 [8700272196:288481815582:1771561]
52470g (1 curve)	0	2+ 3- 5+ 11- 53-	2+ 3- 5+  3 11- -5  2  1
Curve Equation t 52470g1 [1,-1,0,-1170,38596] 1
52470h (2 curves)	1	2+ 3- 5- 11+ 53+	2+ 3- 5-  4 11+  4 -4 -6
Curve Equation t Generators 52470h1 [1,-1,0,-16297299,-24002959307] 2 [-370625626:-1743818017:195112] 52470h2 [1,-1,0,12046221,-98699471915] 2 [62639624102:-35525401677601:195112]
52470i (1 curve)	1	2+ 3- 5- 11+ 53+	2+ 3- 5- -4 11+ -7  7 -1
Curve Equation t Generators 52470i1 [1,-1,0,-6369,-196867] 1 [242:3399:1]
52470j (2 curves)	2	2+ 3- 5- 11+ 53-	2+ 3- 5-  0 11+ -6 -6 -2
Curve Equation t Generators 52470j1 [1,-1,0,-1044,-10692] 2 [-23:39:1]&[-21:51:1] 52470j2 [1,-1,0,1926,-62370] 2 [31:147:1]&[45:315:1]
52470k (1 curve)	0	2+ 3- 5- 11+ 53-	2+ 3- 5-  4 11+ -5  8  6
Curve Equation t 52470k1 [1,-1,0,-177489,28825393] 1
52470l (2 curves)	0	2+ 3- 5- 11- 53+	2+ 3- 5-  0 11-  4 -4 -2
Curve Equation t 52470l1 [1,-1,0,-5724,-163760] 2 52470l2 [1,-1,0,-1404,-408272] 2
52470m (1 curve)	0	2+ 3- 5- 11- 53+	2+ 3- 5-  1 11- -3  6  5
Curve Equation t 52470m1 [1,-1,0,81,-1107] 1
52470n (2 curves)	0	2+ 3- 5- 11- 53+	2+ 3- 5- -1 11- -1 -6 -1
Curve Equation t 52470n1 [1,-1,0,-12126564,-16361810352] 1 52470n2 [1,-1,0,36107676,-86941203120] 3
52470o (1 curve)	0	2+ 3- 5- 11- 53+	2+ 3- 5-  4 11- -3  3 -1
Curve Equation t 52470o1 [1,-1,0,-597474,178002468] 1
52470p (2 curves)	0	2+ 3- 5- 11- 53+	2+ 3- 5-  4 11-  4  4 -6
Curve Equation t 52470p1 [1,-1,0,-4554,35968] 2 52470p2 [1,-1,0,17316,267790] 2
52470q (2 curves)	0	2+ 3- 5- 11- 53+	2+ 3- 5-  4 11- -4  4 -2
Curve Equation t 52470q1 [1,-1,0,-104724,837328] 2 52470q2 [1,-1,0,417996,6378160] 2
52470r (4 curves)	1	2+ 3- 5- 11- 53-	2+ 3- 5-  0 11-  2 -2 -4
Curve Equation t Generators 52470r1 [1,-1,0,-14769,-687155] 2 [219:2449:1] 52470r2 [1,-1,0,-14949,-669407] 4 [-76:191:1] 52470r3 [1,-1,0,8901,-2620337] 2 [189:2311:1] 52470r4 [1,-1,0,-41679,2415235] 2 [231:2137:1]
52470s (2 curves)	1	2+ 3- 5- 11- 53-	2+ 3- 5- -2 11-  2 -6 -4
Curve Equation t Generators 52470s1 [1,-1,0,-777159,263895165] 2 [486:-1143:1] 52470s2 [1,-1,0,-789039,255419973] 2 [637:2994:1]
52470t (2 curves)	1	2+ 3- 5- 11- 53-	2+ 3- 5- -4 11- -1  0  2
Curve Equation t Generators 52470t1 [1,-1,0,486,-78732] 1 [324:5670:1] 52470t2 [1,-1,0,-4374,2128680] 3 [54:-1458:1]
52470u (2 curves)	1	2- 3+ 5- 11+ 53+	2- 3+ 5-  0 11+ -2 -8  4
Curve Equation t Generators 52470u1 [1,-1,1,-1352,15499] 2 [-41:47:1] 52470u2 [1,-1,1,2968,91531] 2 [41:-551:1]
52470v (2 curves)	1	2- 3+ 5- 11+ 53+	2- 3+ 5-  2 11+  2 -2 -4
Curve Equation t Generators 52470v1 [1,-1,1,1183,-229199] 2 [109:1034:1] 52470v2 [1,-1,1,-49697,-4116431] 2 [-143:296:1]
52470w (2 curves)	1	2- 3- 5+ 11+ 53+	2- 3- 5+ -4 11+ -2  2  2
Curve Equation t Generators 52470w1 [1,-1,1,-308917283,-1287294319389] 2 [6529255:1394779434:125] 52470w2 [1,-1,1,938197597,-9062806173213] 2 [5979255:1503569434:125]
52470x (2 curves)	0	2- 3- 5+ 11- 53+	2- 3- 5+  2 11-  5 -6  8
Curve Equation t 52470x1 [1,-1,1,-16915073,27284168081] 1 52470x2 [1,-1,1,-1377259448,19673396950331] 3
52470y (2 curves)	0	2- 3- 5+ 11- 53+	2- 3- 5+  2 11-  6  2 -4
Curve Equation t 52470y1 [1,-1,1,-248,-489] 2 52470y2 [1,-1,1,-3218,-69393] 2
52470z (2 curves)	1	2- 3- 5+ 11- 53-	2- 3- 5+  0 11-  4 -4  4
Curve Equation t Generators 52470z1 [1,-1,1,-19058,1008497] 2 [57:295:1] 52470z2 [1,-1,1,-304178,64647281] 2 [321:-233:1]
52470ba (2 curves)	1	2- 3- 5+ 11- 53-	2- 3- 5+ -1 11-  5 -6 -1
Curve Equation t Generators 52470ba1 [1,-1,1,-5648,-161953] 1 [1496276613:44813861227:1601613] 52470ba2 [1,-1,1,-2723,-330973] 3 [4287:46298:27]
52470bb (4 curves)	1	2- 3- 5+ 11- 53-	2- 3- 5+  2 11- -4  0  2
Curve Equation t Generators 52470bb1 [1,-1,1,-905423,-331381753] 2 [179805:4487426:125] 52470bb2 [1,-1,1,-903443,-332904769] 2 [135477064905:3381949301996:94196375] 52470bb3 [1,-1,1,-1000598,-257390683] 6 [-345:7003:1] 52470bb4 [1,-1,1,2832682,-1756969819] 6 [7882797:509362927:2197]
52470bc (2 curves)	1	2- 3- 5+ 11- 53-	2- 3- 5+ -2 11-  4  0 -2
Curve Equation t Generators 52470bc1 [1,-1,1,-871763,311852531] 2 [891:-15998:1] 52470bc2 [1,-1,1,-364883,671331827] 2 [627:-26558:1]
52470bd (2 curves)	1	2- 3- 5+ 11- 53-	2- 3- 5+ -4 11- -4  4  0
Curve Equation t Generators 52470bd1 [1,-1,1,-32243,-2210493] 2 [-103:150:1] 52470bd2 [1,-1,1,-50063,519531] 2 [491:9456:1]
52470be (2 curves)	2	2- 3- 5- 11+ 53+	2- 3- 5- -4 11+ -4 -8 -4
Curve Equation t Generators 52470be1 [1,-1,1,-33167,2303191] 2 [-209:374:1]&[91:134:1] 52470be2 [1,-1,1,-64847,-2778281] 2 [-173:1886:1]&[-163:1936:1]
52470bf (4 curves)	1	2- 3- 5- 11+ 53-	2- 3- 5-  0 11+ -2 -6  4
Curve Equation t Generators 52470bf1 [1,-1,1,-12632,-521269] 2 [-69:169:1] 52470bf2 [1,-1,1,-34412,1778699] 4 [126:8843:8] 52470bf3 [1,-1,1,89338,11579699] 2 [4926:136043:8] 52470bf4 [1,-1,1,-506642,138914291] 2 [3518:6287:8]
52470bg (2 curves)	1	2- 3- 5- 11+ 53-	2- 3- 5-  2 11+  2  2 -8
Curve Equation t Generators 52470bg1 [1,-1,1,-842,-7351] 2 [-21:37:1] 52470bg2 [1,-1,1,-12722,-549079] 2 [-65:37:1]
52470bh (4 curves)	1	2- 3- 5- 11+ 53-	2- 3- 5-  2 11+  2 -6 -4
Curve Equation t Generators 52470bh1 [1,-1,1,-3450002,-2465494639] 2 [-366513:86857:343] 52470bh2 [1,-1,1,-55199282,-157837532911] 2 [-1072512189:536286941:250047] 52470bh3 [1,-1,1,-6733337,2918077049] 6 [-1113:95596:1] 52470bh4 [1,-1,1,-55393817,-156668833159] 6 [-3929:19564:1]
52470bi (4 curves)	1	2- 3- 5- 11+ 53-	2- 3- 5- -4 11+  6  2  8
Curve Equation t Generators 52470bi1 [1,-1,1,-5477,-124531] 2 [93:358:1] 52470bi2 [1,-1,1,-27257,1626581] 4 [1771:73314:1] 52470bi3 [1,-1,1,25213,7104449] 2 [-34659030:660437821:343000] 52470bi4 [1,-1,1,-428207,107958521] 2 [3038820:-1076299:8000]
52470bj (1 curve)	1	2- 3- 5- 11- 53+	2- 3- 5-  2 11-  3 -2  0
Curve Equation t Generators 52470bj1 [1,-1,1,-1247,27591] 1 [59:366:1]
52470bk (4 curves)	1	2- 3- 5- 11- 53+	2- 3- 5-  2 11- -4  0  2
Curve Equation t Generators 52470bk1 [1,-1,1,-3393077,-2398111171] 2 [2217:30076:1] 52470bk2 [1,-1,1,-1949657,-4454118619] 2 [729813:-11356778:343] 52470bk3 [1,-1,1,-17109212,25288622111] 6 [-4689:51349:1] 52470bk4 [1,-1,1,17390308,114380182559] 6 [-3633:58741:1]
52470bl (2 curves)	1	2- 3- 5- 11- 53+	2- 3- 5- -2 11- -4  0 -6
Curve Equation t Generators 52470bl1 [1,-1,1,-3497,-71319] 2 [-31:96:1] 52470bl2 [1,-1,1,4423,-353271] 2 [117:1266:1]
52470bm (4 curves)	0	2- 3- 5- 11- 53-	2- 3- 5-  4 11-  2  6  8
Curve Equation t 52470bm1 [1,-1,1,-54302,-4856659] 2 52470bm2 [1,-1,1,-57182,-4310611] 4 52470bm3 [1,-1,1,114538,-25329139] 2 52470bm4 [1,-1,1,-274982,51620429] 2
52470bn (4 curves)	0	2- 3- 5- 11- 53-	2- 3- 5-  4 11- -2 -6  4
Curve Equation t 52470bn1 [1,-1,1,-58262,-37685851] 4 52470bn2 [1,-1,1,-2080742,-1149240859] 4 52470bn3 [1,-1,1,-3273242,318965141] 2 52470bn4 [1,-1,1,-33247922,-73781237131] 2

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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