Cremona's table of elliptic curves

56640 = 2⁶ · 3 · 5 · 59

Class	r	Atkin-Lehner	Eigenvalues
56640a (2 curves)	1	2+ 3+ 5+ 59+	2+ 3+ 5+  0  0  4 -6  0
Curve Equation t Generators 56640a1 [0,-1,0,59,-59] 2 [4:15:1] 56640a2 [0,-1,0,-241,-239] 2 [24:85:1]
56640b (4 curves)	0	2+ 3+ 5+ 59-	2+ 3+ 5+  0  4 -2  2  4
Curve Equation t 56640b1 [0,-1,0,-221,3021] 2 56640b2 [0,-1,0,-4721,126321] 4 56640b3 [0,-1,0,-5921,58401] 2 56640b4 [0,-1,0,-75521,8013441] 2
56640c (6 curves)	0	2+ 3+ 5+ 59-	2+ 3+ 5+  0 -4  2 -6 -4
Curve Equation t 56640c1 [0,-1,0,199359,-31934655] 2 56640c2 [0,-1,0,-1111361,-296962239] 4 56640c3 [0,-1,0,-7152961,7142664001] 2 56640c4 [0,-1,0,-16041281,-24719325375] 4 56640c5 [0,-1,0,-14313281,-30253418175] 2 56640c6 [0,-1,0,-256648001,-1582455351999] 2
56640d (1 curve)	0	2+ 3+ 5+ 59-	2+ 3+ 5+  0  5  5 -3  5
Curve Equation t 56640d1 [0,-1,0,-21,-9] 1
56640e (2 curves)	0	2+ 3+ 5+ 59-	2+ 3+ 5+ -2  3  1  3  5
Curve Equation t 56640e1 [0,-1,0,-1121,14595] 1 56640e2 [0,-1,0,-77321,-8249685] 1
56640f (1 curve)	0	2+ 3+ 5+ 59-	2+ 3+ 5+ -3  2 -1 -3  2
Curve Equation t 56640f1 [0,-1,0,50399,59181985] 1
56640g (1 curve)	0	2+ 3+ 5+ 59-	2+ 3+ 5+ -3 -2  1 -7 -2
Curve Equation t 56640g1 [0,-1,0,-143521,-22087775] 1
56640h (4 curves)	0	2+ 3+ 5+ 59-	2+ 3+ 5+ -4 -4 -2  2  4
Curve Equation t 56640h1 [0,-1,0,-916,9430] 2 56640h2 [0,-1,0,-4041,-88695] 4 56640h3 [0,-1,0,4959,-436095] 4 56640h4 [0,-1,0,-63041,-6071295] 2
56640i (1 curve)	0	2+ 3+ 5- 59+	2+ 3+ 5-  1  2 -3 -5  6
Curve Equation t 56640i1 [0,-1,0,1055,97] 1
56640j (1 curve)	0	2+ 3+ 5- 59+	2+ 3+ 5-  1  5  3  1 -6
Curve Equation t 56640j1 [0,-1,0,-70625,335433825] 1
56640k (1 curve)	0	2+ 3+ 5- 59+	2+ 3+ 5-  1  6  3  7  2
Curve Equation t 56640k1 [0,-1,0,-45665,6160737] 1
56640l (1 curve)	0	2+ 3+ 5- 59+	2+ 3+ 5-  2 -3 -3  3  3
Curve Equation t 56640l1 [0,-1,0,-15,-15] 1
56640m (2 curves)	0	2+ 3+ 5- 59+	2+ 3+ 5-  2 -3 -5 -3 -5
Curve Equation t 56640m1 [0,-1,0,-1783925,-700681875] 1 56640m2 [0,-1,0,-134831285,-602561977683] 1
56640n (2 curves)	1	2+ 3+ 5- 59-	2+ 3+ 5-  0  0  0 -2  4
Curve Equation t Generators 56640n1 [0,-1,0,-1600,25162] 2 [1866:28043:8] 56640n2 [0,-1,0,-1305,34425] 2 [-40:145:1]
56640o (1 curve)	1	2+ 3+ 5- 59-	2+ 3+ 5- -2  3 -3  1 -1
Curve Equation t Generators 56640o1 [0,-1,0,-53285,-4519683] 1 [-116:295:1]
56640p (1 curve)	1	2+ 3+ 5- 59-	2+ 3+ 5- -2 -5 -5  7  7
Curve Equation t Generators 56640p1 [0,-1,0,-615,-5463] 1 [-16:5:1]
56640q (1 curve)	1	2+ 3+ 5- 59-	2+ 3+ 5- -3  3  5  1  2
Curve Equation t Generators 56640q1 [0,-1,0,-46145,7931457] 1 [239:3240:1]
56640r (2 curves)	1	2+ 3+ 5- 59-	2+ 3+ 5- -4 -3  1  3 -5
Curve Equation t Generators 56640r1 [0,-1,0,-2005,31885] 1 [12:97:1] 56640r2 [0,-1,0,-36565,-2674163] 1 [-108:59:1]
56640s (1 curve)	1	2+ 3+ 5- 59-	2+ 3+ 5- -4 -3  5  7  3
Curve Equation t Generators 56640s1 [0,-1,0,-965,-10275] 1 [-20:25:1]
56640t (4 curves)	0	2+ 3- 5+ 59+	2+ 3- 5+  0  4 -6 -6  4
Curve Equation t 56640t1 [0,1,0,-5921,-177345] 2 56640t2 [0,1,0,-6241,-157441] 4 56640t3 [0,1,0,12639,-908865] 2 56640t4 [0,1,0,-30241,1872959] 2
56640u (1 curve)	0	2+ 3- 5+ 59+	2+ 3- 5+ -1 -2  5  1  6
Curve Equation t 56640u1 [0,1,0,-641,-6561] 1
56640v (1 curve)	0	2+ 3- 5+ 59+	2+ 3- 5+  2 -3  1 -5 -1
Curve Equation t 56640v1 [0,1,0,-101,-381] 1
56640w (2 curves)	0	2+ 3- 5+ 59+	2+ 3- 5+  4  0 -4  6 -4
Curve Equation t 56640w1 [0,1,0,-461,-3501] 2 56640w2 [0,1,0,719,-17425] 2
56640x (4 curves)	0	2+ 3- 5+ 59+	2+ 3- 5+  4  4 -2  2 -4
Curve Equation t 56640x1 [0,1,0,-916,-9430] 2 56640x2 [0,1,0,-4041,88695] 4 56640x3 [0,1,0,4959,436095] 2 56640x4 [0,1,0,-63041,6071295] 4
56640y (2 curves)	0	2+ 3- 5+ 59+	2+ 3- 5+ -4  0  4 -2 -4
Curve Equation t 56640y1 [0,1,0,-37421,2773779] 2 56640y2 [0,1,0,-36241,2958095] 2
56640z (2 curves)	1	2+ 3- 5+ 59-	2+ 3- 5+  0  0  4  2  0
Curve Equation t Generators 56640z1 [0,1,0,-14501,-689301] 2 [319:5220:1] 56640z2 [0,1,0,-233201,-43423281] 2 [562:1827:1]
56640ba (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+  0  5 -1 -3 -5
Curve Equation t Generators 56640ba1 [0,1,0,-7061,226035] 1 [-90:375:1]
56640bb (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+  2 -1 -1 -5  3
Curve Equation t Generators 56640bb1 [0,1,0,-501,-3501] 1 [-18:3:1]
56640bc (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+ -3 -1  5 -3 -2
Curve Equation t Generators 56640bc1 [0,1,0,16639,-870561] 1 [109:1500:1]
56640bd (2 curves)	1	2+ 3- 5+ 59-	2+ 3- 5+ -4  0  4  6 -4
Curve Equation t Generators 56640bd1 [0,1,0,19,-525] 2 [19:84:1] 56640bd2 [0,1,0,-881,-10065] 2 [34:21:1]
56640be (2 curves)	1	2+ 3- 5- 59+	2+ 3- 5-  0  0  0 -2 -4
Curve Equation t Generators 56640be1 [0,1,0,-1600,-25162] 2 [394:1071:8] 56640be2 [0,1,0,-1305,-34425] 2 [90:765:1]
56640bf (1 curve)	1	2+ 3- 5- 59+	2+ 3- 5-  2 -3 -3  1 -3
Curve Equation t Generators 56640bf1 [0,1,0,-505,4193] 1 [8:27:1]
56640bg (1 curve)	1	2+ 3- 5- 59+	2+ 3- 5-  2  5 -5  7 -7
Curve Equation t Generators 56640bg1 [0,1,0,-615,5463] 1 [6:-45:1]
56640bh (1 curve)	1	2+ 3- 5- 59+	2+ 3- 5-  5 -3 -1 -7 -6
Curve Equation t Generators 56640bh1 [0,1,0,-1185,-17217] 1 [51:240:1]
56640bi (1 curve)	0	2+ 3- 5- 59-	2+ 3- 5-  1  0 -1  7 -4
Curve Equation t 56640bi1 [0,1,0,15,-177] 1
56640bj (1 curve)	0	2+ 3- 5- 59-	2+ 3- 5- -1  2 -1  7  6
Curve Equation t 56640bj1 [0,1,0,-2145,-1408257] 1
56640bk (1 curve)	0	2+ 3- 5- 59-	2+ 3- 5- -2  3 -3  3 -3
Curve Equation t 56640bk1 [0,1,0,-15,15] 1
56640bl (1 curve)	2	2+ 3- 5- 59-	2+ 3- 5- -3 -4 -7  3  4
Curve Equation t Generators 56640bl1 [0,1,0,-1265,29775] 1 [55:360:1]&[-35:180:1]
56640bm (1 curve)	0	2+ 3- 5- 59-	2+ 3- 5- -5 -6  5  3  6
Curve Equation t 56640bm1 [0,1,0,-4545,-125025] 1
56640bn (2 curves)	0	2- 3+ 5+ 59+	2- 3+ 5+  0  0  4  2  0
Curve Equation t 56640bn1 [0,-1,0,-14501,689301] 2 56640bn2 [0,-1,0,-233201,43423281] 2
56640bo (4 curves)	2	2- 3+ 5+ 59+	2- 3+ 5+  0 -4 -2 -2 -8
Curve Equation t Generators 56640bo1 [0,-1,0,-636,-3654] 2 [43:216:1]&[-70:273:8] 56640bo2 [0,-1,0,-4281,106425] 4 [-21:432:1]&[-16:413:1] 56640bo3 [0,-1,0,1119,351585] 2 [-1:592:1]&[131:1652:1] 56640bo4 [0,-1,0,-68001,6848001] 2 [-299:600:1]&[101:1000:1]
56640bp (1 curve)	0	2- 3+ 5+ 59+	2- 3+ 5+  0 -5 -1 -3  5
Curve Equation t 56640bp1 [0,-1,0,-7061,-226035] 1
56640bq (1 curve)	0	2- 3+ 5+ 59+	2- 3+ 5+  2 -3  1 -3  5
Curve Equation t 56640bq1 [0,-1,0,-1531,-7919] 1
56640br (1 curve)	0	2- 3+ 5+ 59+	2- 3+ 5+ -2  1 -1 -5 -3
Curve Equation t 56640br1 [0,-1,0,-501,3501] 1
56640bs (1 curve)	0	2- 3+ 5+ 59+	2- 3+ 5+  3  1  5 -3  2
Curve Equation t 56640bs1 [0,-1,0,16639,870561] 1
56640bt (2 curves)	0	2- 3+ 5+ 59+	2- 3+ 5+  4  0  4  6  4
Curve Equation t 56640bt1 [0,-1,0,19,525] 2 56640bt2 [0,-1,0,-881,10065] 2
56640bu (4 curves)	1	2- 3+ 5+ 59-	2- 3+ 5+  0 -4 -6 -6 -4
Curve Equation t Generators 56640bu1 [0,-1,0,-5921,177345] 2 [13:320:1] 56640bu2 [0,-1,0,-6241,157441] 4 [-35:576:1] 56640bu3 [0,-1,0,12639,908865] 2 [24:1107:1] 56640bu4 [0,-1,0,-30241,-1872959] 2 [941:-28320:1]
56640bv (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+  1  2  5  1 -6
Curve Equation t Generators 56640bv1 [0,-1,0,-641,6561] 1 [13:-16:1]
56640bw (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+ -1  4 -1 -3  0
Curve Equation t Generators 56640bw1 [0,-1,0,144,-594] 1 [381:1718:27]
56640bx (1 curve)	1	2- 3+ 5+ 59-	2- 3+ 5+ -2  3  1 -5  1
Curve Equation t Generators 56640bx1 [0,-1,0,-101,381] 1 [4:5:1]
56640by (2 curves)	1	2- 3+ 5+ 59-	2- 3+ 5+  4  0  4 -2  4
Curve Equation t Generators 56640by1 [0,-1,0,-37421,-2773779] 2 [-5626183:-199140:50653] 56640by2 [0,-1,0,-36241,-2958095] 2 [19753194440:-1101025136043:6331625]
56640bz (2 curves)	1	2- 3+ 5+ 59-	2- 3+ 5+ -4  0 -4  6  4
Curve Equation t Generators 56640bz1 [0,-1,0,-461,3501] 2 [5:36:1] 56640bz2 [0,-1,0,719,17425] 2 [3:140:1]
56640ca (4 curves)	1	2- 3+ 5- 59+	2- 3+ 5-  0  4  2  6  0
Curve Equation t Generators 56640ca1 [0,-1,0,-41660,3278442] 2 [1706:16093:8] 56640ca2 [0,-1,0,-59065,295225] 4 [-120:2375:1] 56640ca3 [0,-1,0,235935,2124225] 2 [352:11343:1] 56640ca4 [0,-1,0,-632545,-192738143] 2 [963:9500:1]
56640cb (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5-  1 -2 -1  7 -6
Curve Equation t Generators 56640cb1 [0,-1,0,-2145,1408257] 1 [749:20480:1]
56640cc (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5- -1  0 -1  7  4
Curve Equation t Generators 56640cc1 [0,-1,0,15,177] 1 [7:24:1]
56640cd (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5- -1  0 -5  7 -4
Curve Equation t Generators 56640cd1 [0,-1,0,-4440,-112410] 1 [4921612581:49836552884:34965783]
56640ce (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5- -1  5  5 -3  6
Curve Equation t Generators 56640ce1 [0,-1,0,3455,229825] 1 [595:14580:1]
56640cf (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5- -2  1  1 -5 -1
Curve Equation t Generators 56640cf1 [0,-1,0,-3875,-53283] 1 [-6420:10911:125]
56640cg (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5-  3  4 -7  3 -4
Curve Equation t Generators 56640cg1 [0,-1,0,-1265,-29775] 1 [75:540:1]
56640ch (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5-  3 -4  1 -5  4
Curve Equation t Generators 56640ch1 [0,-1,0,-40160,11014350] 1 [-105:3750:1]
56640ci (2 curves)	1	2- 3+ 5- 59+	2- 3+ 5-  4  4 -2 -2 -4
Curve Equation t Generators 56640ci1 [0,-1,0,-80,222] 2 [122:385:8] 56640ci2 [0,-1,0,215,1225] 2 [0:35:1]
56640cj (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5-  5  6  5  3 -6
Curve Equation t Generators 56640cj1 [0,-1,0,-4545,125025] 1 [5:320:1]
56640ck (1 curve)	0	2- 3+ 5- 59-	2- 3+ 5- -2  3 -3  1  3
Curve Equation t 56640ck1 [0,-1,0,-505,-4193] 1
56640cl (1 curve)	2	2- 3+ 5- 59-	2- 3+ 5- -5  3 -1 -7  6
Curve Equation t Generators 56640cl1 [0,-1,0,-1185,17217] 1 [-21:180:1]&[-3:144:1]
56640cm (6 curves)	1	2- 3- 5+ 59+	2- 3- 5+  0  4  2 -6  4
Curve Equation t Generators 56640cm1 [0,1,0,199359,31934655] 2 [-438:36537:8] 56640cm2 [0,1,0,-1111361,296962239] 4 [-926:23085:1] 56640cm3 [0,1,0,-7152961,-7142664001] 2 [11237:1153908:1] 56640cm4 [0,1,0,-16041281,24719325375] 4 [11362:1144275:1] 56640cm5 [0,1,0,-14313281,30253418175] 2 [-4072842905537:587910751100772:2668267603] 56640cm6 [0,1,0,-256648001,1582455351999] 2 [9007:40128:1]
56640cn (4 curves)	1	2- 3- 5+ 59+	2- 3- 5+  0 -4 -2  2 -4
Curve Equation t Generators 56640cn1 [0,1,0,-221,-3021] 2 [22:57:1] 56640cn2 [0,1,0,-4721,-126321] 4 [322:5643:1] 56640cn3 [0,1,0,-5921,-58401] 2 [429462:7497153:1331] 56640cn4 [0,1,0,-75521,-8013441] 2 [277218:3127267:729]
56640co (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  0 -5  5 -3 -5
Curve Equation t Generators 56640co1 [0,1,0,-21,9] 1 [0:3:1]
56640cp (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  1 -4 -1 -3  0
Curve Equation t Generators 56640cp1 [0,1,0,144,594] 1 [-3:12:1]
56640cq (2 curves)	1	2- 3- 5+ 59+	2- 3- 5+  2 -3  1  3 -5
Curve Equation t Generators 56640cq1 [0,1,0,-1121,-14595] 1 [-20:15:1] 56640cq2 [0,1,0,-77321,8249685] 1 [165660:1004565:1331]
56640cr (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  3  2  1 -7  2
Curve Equation t Generators 56640cr1 [0,1,0,-143521,22087775] 1 [191:-1296:1]
56640cs (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  3 -2 -1 -3 -2
Curve Equation t Generators 56640cs1 [0,1,0,50399,-59181985] 1 [359:2304:1]
56640ct (2 curves)	0	2- 3- 5+ 59-	2- 3- 5+  0  0  4 -6  0
Curve Equation t 56640ct1 [0,1,0,59,59] 2 56640ct2 [0,1,0,-241,239] 2
56640cu (4 curves)	0	2- 3- 5+ 59-	2- 3- 5+  0  4 -2 -2  8
Curve Equation t 56640cu1 [0,1,0,-636,3654] 2 56640cu2 [0,1,0,-4281,-106425] 4 56640cu3 [0,1,0,1119,-351585] 2 56640cu4 [0,1,0,-68001,-6848001] 2
56640cv (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+ -2  3  1 -3 -5
Curve Equation t 56640cv1 [0,1,0,-1531,7919] 1
56640cw (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  2 -3 -3  1  1
Curve Equation t 56640cw1 [0,1,0,-53285,4519683] 1
56640cx (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  3 -3  5  1 -2
Curve Equation t 56640cx1 [0,1,0,-46145,-7931457] 1
56640cy (2 curves)	0	2- 3- 5- 59+	2- 3- 5-  4  3  1  3  5
Curve Equation t 56640cy1 [0,1,0,-2005,-31885] 1 56640cy2 [0,1,0,-36565,2674163] 1
56640cz (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  4  3  5  7 -3
Curve Equation t 56640cz1 [0,1,0,-965,10275] 1
56640da (4 curves)	1	2- 3- 5- 59-	2- 3- 5-  0 -4  2  6  0
Curve Equation t Generators 56640da1 [0,1,0,-41660,-3278442] 2 [-119:90:1] 56640da2 [0,1,0,-59065,-295225] 4 [-205:1800:1] 56640da3 [0,1,0,235935,-2124225] 2 [90:4455:1] 56640da4 [0,1,0,-632545,192738143] 2 [-769:15000:1]
56640db (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  1  0 -5  7  4
Curve Equation t Generators 56640db1 [0,1,0,-4440,112410] 1 [33:54:1]
56640dc (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  1 -5  5 -3 -6
Curve Equation t Generators 56640dc1 [0,1,0,3455,-229825] 1 [215:3240:1]
56640dd (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -1 -2 -3 -5 -6
Curve Equation t Generators 56640dd1 [0,1,0,1055,-97] 1 [23:-192:1]
56640de (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -1 -5  3  1  6
Curve Equation t Generators 56640de1 [0,1,0,-70625,-335433825] 1 [7735:679680:1]
56640df (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -1 -6  3  7 -2
Curve Equation t Generators 56640df1 [0,1,0,-45665,-6160737] 1 [1231:-42480:1]
56640dg (1 curve)	1	2- 3- 5- 59-	2- 3- 5-  2 -1  1 -5  1
Curve Equation t Generators 56640dg1 [0,1,0,-3875,53283] 1 [-62:243:1]
56640dh (2 curves)	1	2- 3- 5- 59-	2- 3- 5- -2  3 -5 -3  5
Curve Equation t Generators 56640dh1 [0,1,0,-1783925,700681875] 1 [-650:-39825:1] 56640dh2 [0,1,0,-134831285,602561977683] 1 [5686:140625:1]
56640di (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -3  4  1 -5 -4
Curve Equation t Generators 56640di1 [0,1,0,-40160,-11014350] 1 [10335:147500:27]
56640dj (2 curves)	1	2- 3- 5- 59-	2- 3- 5- -4 -4 -2 -2  4
Curve Equation t Generators 56640dj1 [0,1,0,-80,-222] 2 [138:495:8] 56640dj2 [0,1,0,215,-1225] 2 [10:45:1]

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