Cremona's table of elliptic curves

109650 = 2 · 3 · 5² · 17 · 43

Class	r	Atkin-Lehner	Eigenvalues
109650a (1 curve)	2	2+ 3+ 5+ 17+ 43-	2+ 3+ 5+  0  1  1 17+ -4
Curve Equation t Generators 109650a1 [1,1,0,-87355,9901405] 1 [-1642:35909:8]&[214:925:1]
109650b (1 curve)	0	2+ 3+ 5+ 17+ 43-	2+ 3+ 5+  3 -2 -1 17+ -2
Curve Equation t 109650b1 [1,1,0,-364625,68287125] 1
109650c (1 curve)	2	2+ 3+ 5+ 17+ 43-	2+ 3+ 5+ -4 -3 -3 17+ -4
Curve Equation t Generators 109650c1 [1,1,0,15,-315] 1 [6:3:1]&[9:21:1]
109650d (2 curves)	0	2+ 3+ 5+ 17- 43+	2+ 3+ 5+  1  3 -2 17-  2
Curve Equation t 109650d1 [1,1,0,-23650,1397500] 1 109650d2 [1,1,0,64100,7533250] 1
109650e (2 curves)	0	2+ 3+ 5+ 17- 43+	2+ 3+ 5+ -2 -4  6 17-  4
Curve Equation t 109650e1 [1,1,0,-1406125,-607371875] 2 109650e2 [1,1,0,1093875,-2529871875] 2
109650f (2 curves)	0	2+ 3+ 5+ 17- 43+	2+ 3+ 5+  4 -3 -5 17-  2
Curve Equation t 109650f1 [1,1,0,696550,60436500] 1 109650f2 [1,1,0,-8303450,-10482163500] 1
109650g (1 curve)	0	2+ 3+ 5- 17+ 43+	2+ 3+ 5- -1  6  2 17+ -6
Curve Equation t 109650g1 [1,1,0,-428825,-108266625] 1
109650h (1 curve)	0	2+ 3+ 5- 17+ 43+	2+ 3+ 5- -3 -1 -2 17+  0
Curve Equation t 109650h1 [1,1,0,-556895,169511175] 1
109650i (1 curve)	1	2+ 3+ 5- 17+ 43-	2+ 3+ 5-  0  1  1 17+  6
Curve Equation t Generators 109650i1 [1,1,0,-580,-6350] 1 [155:1835:1]
109650j (1 curve)	1	2+ 3+ 5- 17+ 43-	2+ 3+ 5-  0  5  1 17+  6
Curve Equation t Generators 109650j1 [1,1,0,-325,-20375] 1 [60:-455:1]
109650k (1 curve)	1	2+ 3+ 5- 17- 43+	2+ 3+ 5-  0 -1 -7 17- -2
Curve Equation t Generators 109650k1 [1,1,0,-10836075,-42590527875] 1 [273204165:4151368480:59319]
109650l (1 curve)	1	2+ 3+ 5- 17- 43+	2+ 3+ 5-  2 -3 -3 17-  8
Curve Equation t Generators 109650l1 [1,1,0,-93575,-11155275] 1 [950:27065:1]
109650m (1 curve)	1	2+ 3+ 5- 17- 43+	2+ 3+ 5-  3  2 -1 17- -2
Curve Equation t Generators 109650m1 [1,1,0,-415,-1025] 1 [55:355:1]
109650n (1 curve)	1	2+ 3+ 5- 17- 43+	2+ 3+ 5- -3  3  7 17- -6
Curve Equation t Generators 109650n1 [1,1,0,1050,-2250] 1 [185:2470:1]
109650o (1 curve)	0	2+ 3- 5+ 17+ 43+	2+ 3- 5+ -1  4  0 17+ -6
Curve Equation t 109650o1 [1,0,1,-216,8998] 1
109650p (1 curve)	0	2+ 3- 5+ 17+ 43+	2+ 3- 5+ -1 -5  3 17+ -6
Curve Equation t 109650p1 [1,0,1,-1252026,539125198] 1
109650q (1 curve)	0	2+ 3- 5+ 17+ 43+	2+ 3- 5+  2 -5 -3 17+  6
Curve Equation t 109650q1 [1,0,1,-3762826,40261479548] 1
109650r (2 curves)	0	2+ 3- 5+ 17+ 43+	2+ 3- 5+ -2  2  6 17+ -4
Curve Equation t 109650r1 [1,0,1,-402376,93285398] 2 109650r2 [1,0,1,285624,379493398] 2
109650s (1 curve)	0	2+ 3- 5+ 17+ 43+	2+ 3- 5+ -2  3  0 17+  2
Curve Equation t 109650s1 [1,0,1,-1,398] 1
109650t (1 curve)	0	2+ 3- 5+ 17+ 43+	2+ 3- 5+  3 -2  5 17+  7
Curve Equation t 109650t1 [1,0,1,4538999,-13498540852] 1
109650u (4 curves)	0	2+ 3- 5+ 17+ 43+	2+ 3- 5+  4  0 -6 17+ -4
Curve Equation t 109650u1 [1,0,1,-62351,-5765902] 2 109650u2 [1,0,1,-986851,-377414902] 4 109650u3 [1,0,1,-976101,-386036402] 2 109650u4 [1,0,1,-15789601,-24150631402] 2
109650v (1 curve)	0	2+ 3- 5+ 17+ 43+	2+ 3- 5+ -4 -5 -3 17+  0
Curve Equation t 109650v1 [1,0,1,-173276,-47459302] 1
109650w (1 curve)	1	2+ 3- 5+ 17+ 43-	2+ 3- 5+  1  6 -3 17+  2
Curve Equation t Generators 109650w1 [1,0,1,-401,-52] 1 [-18:46:1]
109650x (1 curve)	1	2+ 3- 5+ 17+ 43-	2+ 3- 5+ -5 -6  7 17+ -6
Curve Equation t Generators 109650x1 [1,0,1,-2219318001,-40239788825852] 1 [-218474:386583:8]
109650y (1 curve)	1	2+ 3- 5+ 17- 43+	2+ 3- 5+  1  3  5 17- -7
Curve Equation t Generators 109650y1 [1,0,1,-1126,-15352] 1 [1371:5863:27]
109650z (1 curve)	1	2+ 3- 5+ 17- 43+	2+ 3- 5+ -1 -1  5 17-  6
Curve Equation t Generators 109650z1 [1,0,1,-3358376,2646846398] 1 [-1788:55081:1]
109650ba (1 curve)	1	2+ 3- 5+ 17- 43+	2+ 3- 5+ -1 -4  5 17-  0
Curve Equation t Generators 109650ba1 [1,0,1,-4308026,-3089916052] 1 [-918:10021:1]
109650bb (1 curve)	1	2+ 3- 5+ 17- 43+	2+ 3- 5+ -2  2 -2 17-  6
Curve Equation t Generators 109650bb1 [1,0,1,-111,3778] 1 [-4:66:1]
109650bc (2 curves)	1	2+ 3- 5+ 17- 43+	2+ 3- 5+ -4 -4  2 17-  0
Curve Equation t Generators 109650bc1 [1,0,1,-1076,13298] 2 [26:42:1] 109650bc2 [1,0,1,-76,37298] 2 [-2:194:1]
109650bd (1 curve)	1	2+ 3- 5+ 17- 43+	2+ 3- 5+ -5  2  1 17-  3
Curve Equation t Generators 109650bd1 [1,0,1,-540251,-165898852] 1 [1392:-42884:1]
109650be (1 curve)	0	2+ 3- 5+ 17- 43-	2+ 3- 5+  1  3  2 17- -2
Curve Equation t 109650be1 [1,0,1,-133660401,-645570253052] 1
109650bf (4 curves)	0	2+ 3- 5+ 17- 43-	2+ 3- 5+  4  0  2 17-  0
Curve Equation t 109650bf1 [1,0,1,-20251,1101398] 2 109650bf2 [1,0,1,-32751,-423602] 4 109650bf3 [1,0,1,128499,-3326102] 2 109650bf4 [1,0,1,-394001,-95071102] 2
109650bg (1 curve)	2	2+ 3- 5+ 17- 43-	2+ 3- 5+ -4 -2 -3 17- -7
Curve Equation t Generators 109650bg1 [1,0,1,18474,369448] 1 [-19:117:1]&[2:636:1]
109650bh (1 curve)	0	2+ 3- 5+ 17- 43-	2+ 3- 5+ -5  6 -1 17-  1
Curve Equation t 109650bh1 [1,0,1,-252901,-48985552] 1
109650bi (1 curve)	1	2+ 3- 5- 17+ 43+	2+ 3- 5- -1  0 -1 17+  6
Curve Equation t Generators 109650bi1 [1,0,1,-1701,76048] 1 [802:22286:1]
109650bj (1 curve)	1	2+ 3- 5- 17+ 43+	2+ 3- 5- -1 -6  5 17+ -6
Curve Equation t Generators 109650bj1 [1,0,1,-14366,-606472] 1 [-78:241:1]
109650bk (1 curve)	1	2+ 3- 5- 17+ 43+	2+ 3- 5-  3 -3  1 17+  2
Curve Equation t Generators 109650bk1 [1,0,1,-659576,-263958202] 1 [809724008947211146783953116:18086523014448954297632155413:657692170864054979521933]
109650bl (1 curve)	0	2+ 3- 5- 17- 43+	2+ 3- 5-  1 -2  5 17- -2
Curve Equation t 109650bl1 [1,0,1,-1766326,698399048] 1
109650bm (1 curve)	0	2+ 3- 5- 17- 43+	2+ 3- 5- -1  5  2 17-  0
Curve Equation t 109650bm1 [1,0,1,29,38] 1
109650bn (1 curve)	0	2+ 3- 5- 17- 43+	2+ 3- 5-  3 -5  4 17- -5
Curve Equation t 109650bn1 [1,0,1,1424,-202] 1
109650bo (1 curve)	1	2+ 3- 5- 17- 43-	2+ 3- 5-  2 -5  3 17-  2
Curve Equation t Generators 109650bo1 [1,0,1,-561701,-1983843952] 1 [903861:-42231302:343]
109650bp (1 curve)	1	2+ 3- 5- 17- 43-	2+ 3- 5- -3  0  3 17-  2
Curve Equation t Generators 109650bp1 [1,0,1,1424,-573952] 1 [402:7861:1]
109650bq (1 curve)	0	2- 3+ 5+ 17+ 43+	2- 3+ 5+ -1 -2  5 17+  6
Curve Equation t 109650bq1 [1,1,1,-215563,-36311719] 1
109650br (1 curve)	0	2- 3+ 5+ 17+ 43+	2- 3+ 5+  2  4  3 17+ -5
Curve Equation t 109650br1 [1,1,1,58562,2033531] 1
109650bs (2 curves)	0	2- 3+ 5+ 17+ 43+	2- 3+ 5+ -2  3  4 17+  2
Curve Equation t 109650bs1 [1,1,1,637,81281] 1 109650bs2 [1,1,1,-5738,-2200969] 1
109650bt (1 curve)	2	2- 3+ 5+ 17+ 43+	2- 3+ 5+ -2 -5 -3 17+  2
Curve Equation t Generators 109650bt1 [1,1,1,-22468,-15879739] 1 [281:165:1]&[349:4177:1]
109650bu (2 curves)	0	2- 3+ 5+ 17+ 43+	2- 3+ 5+  4 -3 -5 17+  8
Curve Equation t 109650bu1 [1,1,1,-5713,187031] 1 109650bu2 [1,1,1,38912,-794719] 1
109650bv (4 curves)	1	2- 3+ 5+ 17+ 43-	2- 3+ 5+  0  4  2 17+  4
Curve Equation t Generators 109650bv1 [1,1,1,-62688,-1822719] 2 [-135:2117:1] 109650bv2 [1,1,1,-574688,166113281] 4 [-445:18497:1] 109650bv3 [1,1,1,-166688,397857281] 2 [-349:20513:1] 109650bv4 [1,1,1,-9174688,10692513281] 2 [1751:-687:1]
109650bw (2 curves)	1	2- 3+ 5+ 17+ 43-	2- 3+ 5+  2 -6 -2 17+ -4
Curve Equation t Generators 109650bw1 [1,1,1,-5738,-159469] 2 [-378:941:8] 109650bw2 [1,1,1,5012,-675469] 2 [201800:3953769:512]
109650bx (1 curve)	1	2- 3+ 5+ 17+ 43-	2- 3+ 5+ -3 -5 -4 17+ -5
Curve Equation t Generators 109650bx1 [1,1,1,57,21] 1 [1:8:1]
109650by (2 curves)	1	2- 3+ 5+ 17- 43+	2- 3+ 5+  0  4  2 17-  0
Curve Equation t Generators 109650by1 [1,1,1,-10013,380531] 2 [5:572:1] 109650by2 [1,1,1,-6013,692531] 2 [-5:852:1]
109650bz (1 curve)	1	2- 3+ 5+ 17- 43+	2- 3+ 5+ -3 -2  5 17-  6
Curve Equation t Generators 109650bz1 [1,1,1,-35088,-2543469] 1 [-56440:31339:512]
109650ca (1 curve)	1	2- 3+ 5+ 17- 43+	2- 3+ 5+ -3  4 -3 17- -2
Curve Equation t Generators 109650ca1 [1,1,1,-344063,-80824219] 1 [875:16562:1]
109650cb (1 curve)	0	2- 3+ 5+ 17- 43-	2- 3+ 5+  1 -1  1 17- -6
Curve Equation t 109650cb1 [1,1,1,-1088,-14719] 1
109650cc (1 curve)	0	2- 3+ 5+ 17- 43-	2- 3+ 5+  1  5 -2 17-  6
Curve Equation t 109650cc1 [1,1,1,-1363463,983110781] 1
109650cd (1 curve)	0	2- 3+ 5+ 17- 43-	2- 3+ 5+ -1  0  7 17-  8
Curve Equation t 109650cd1 [1,1,1,-6740380614588,-6731544855872577219] 1
109650ce (1 curve)	0	2- 3+ 5+ 17- 43-	2- 3+ 5+  2  0  7 17- -7
Curve Equation t 109650ce1 [1,1,1,-1713,36531] 1
109650cf (2 curves)	0	2- 3+ 5+ 17- 43-	2- 3+ 5+ -2  0 -2 17-  4
Curve Equation t 109650cf1 [1,1,1,-1325813,-588138469] 2 109650cf2 [1,1,1,-1321813,-591858469] 2
109650cg (4 curves)	0	2- 3+ 5+ 17- 43-	2- 3+ 5+ -4  0 -2 17- -4
Curve Equation t 109650cg1 [1,1,1,-2769588,-1806504219] 4 109650cg2 [1,1,1,-44530088,-114392812219] 4 109650cg3 [1,1,1,-44746838,-113223229219] 2 109650cg4 [1,1,1,-712481338,-7320250897219] 2
109650ch (4 curves)	0	2- 3+ 5+ 17- 43-	2- 3+ 5+ -4  4  2 17-  0
Curve Equation t 109650ch1 [1,1,1,-17568463,-25274242219] 2 109650ch2 [1,1,1,-68768463,192940157781] 4 109650ch3 [1,1,1,106191537,1014902237781] 2 109650ch4 [1,1,1,-1062928463,13337723677781] 2
109650ci (1 curve)	1	2- 3+ 5- 17+ 43+	2- 3+ 5-  3  0 -3 17+  2
Curve Equation t Generators 109650ci1 [1,1,1,57,-4569] 1 [100170:548743:2744]
109650cj (1 curve)	0	2- 3+ 5- 17+ 43-	2- 3+ 5-  1  5 -2 17+  0
Curve Equation t 109650cj1 [1,1,1,737,4781] 1
109650ck (1 curve)	2	2- 3+ 5- 17+ 43-	2- 3+ 5- -1 -2 -5 17+ -2
Curve Equation t Generators 109650ck1 [1,1,1,-70653,5558931] 1 [-265:2532:1]&[-191:3578:1]
109650cl (1 curve)	0	2- 3+ 5- 17+ 43-	2- 3+ 5-  2  2  2 17+  6
Curve Equation t 109650cl1 [1,1,1,-2763,472281] 1
109650cm (1 curve)	1	2- 3+ 5- 17- 43-	2- 3+ 5-  1  0  1 17-  6
Curve Equation t Generators 109650cm1 [1,1,1,-68,581] 1 [5:-23:1]
109650cn (1 curve)	1	2- 3+ 5- 17- 43-	2- 3+ 5-  1  4  0 17- -6
Curve Equation t Generators 109650cn1 [1,1,1,-5388,1124781] 1 [185:-2643:1]
109650co (1 curve)	1	2- 3+ 5- 17- 43-	2- 3+ 5-  1 -6 -5 17- -6
Curve Equation t Generators 109650co1 [1,1,1,-359138,-75808969] 1 [-3282:14759:8]
109650cp (1 curve)	1	2- 3+ 5- 17- 43-	2- 3+ 5- -2 -5  3 17-  6
Curve Equation t Generators 109650cp1 [1,1,1,-150513,322031631] 1 [145:-17488:1]
109650cq (1 curve)	1	2- 3+ 5- 17- 43-	2- 3+ 5- -3 -3 -1 17-  2
Curve Equation t Generators 109650cq1 [1,1,1,-26383,-2122219] 1 [355:5602:1]
109650cr (1 curve)	1	2- 3- 5+ 17+ 43+	2- 3- 5+ -3  3  1 17+  6
Curve Equation t Generators 109650cr1 [1,0,0,7437,2875617] 1 [192:3279:1]
109650cs (2 curves)	0	2- 3- 5+ 17+ 43-	2- 3- 5+  2 -2  6 17+ -4
Curve Equation t 109650cs1 [1,0,0,-20163,1010817] 2 109650cs2 [1,0,0,22837,4751817] 2
109650ct (1 curve)	0	2- 3- 5+ 17+ 43-	2- 3- 5+ -2 -3  3 17+  8
Curve Equation t 109650ct1 [1,0,0,-2339388,-1389730608] 1
109650cu (1 curve)	2	2- 3- 5+ 17+ 43-	2- 3- 5+ -3 -6 -1 17+ -5
Curve Equation t Generators 109650cu1 [1,0,0,-45688,5244992] 1 [-232:1952:1]&[-208:2504:1]
109650cv (4 curves)	0	2- 3- 5+ 17- 43+	2- 3- 5+  0 -4  2 17-  0
Curve Equation t 109650cv1 [1,0,0,12353037,31218072417] 4 109650cv2 [1,0,0,-105744963,351617946417] 4 109650cv3 [1,0,0,-485432463,-3785077366083] 2 109650cv4 [1,0,0,-1615625463,24994377586917] 2
109650cw (1 curve)	0	2- 3- 5+ 17- 43+	2- 3- 5+  0  5 -1 17-  6
Curve Equation t 109650cw1 [1,0,0,-13,-163] 1
109650cx (1 curve)	0	2- 3- 5+ 17- 43+	2- 3- 5+ -1 -4 -7 17- -6
Curve Equation t 109650cx1 [1,0,0,-2988463,1993088417] 1
109650cy (2 curves)	0	2- 3- 5+ 17- 43+	2- 3- 5+  2  0  6 17-  4
Curve Equation t 109650cy1 [1,0,0,-34810113,78776510217] 2 109650cy2 [1,0,0,-18426113,153143486217] 2
109650cz (1 curve)	0	2- 3- 5+ 17- 43+	2- 3- 5+  2 -4 -1 17-  3
Curve Equation t 109650cz1 [1,0,0,2062,279492] 1
109650da (1 curve)	0	2- 3- 5+ 17- 43+	2- 3- 5+  2  5 -4 17- -6
Curve Equation t 109650da1 [1,0,0,-5113,-142783] 1
109650db (2 curves)	0	2- 3- 5+ 17- 43+	2- 3- 5+  4  6 -2 17-  4
Curve Equation t 109650db1 [1,0,0,-24463,-1458583] 2 109650db2 [1,0,0,-45963,1486917] 2
109650dc (1 curve)	1	2- 3- 5+ 17- 43-	2- 3- 5+  0  2  1 17- -7
Curve Equation t Generators 109650dc1 [1,0,0,-283763,58162017] 1 [322:-611:1]
109650dd (1 curve)	1	2- 3- 5+ 17- 43-	2- 3- 5+  1  6 -2 17- -6
Curve Equation t Generators 109650dd1 [1,0,0,-17153,-866133] 1 [4454:99671:8]
109650de (1 curve)	1	2- 3- 5+ 17- 43-	2- 3- 5+  3 -3  1 17- -2
Curve Equation t Generators 109650de1 [1,0,0,-23198438,43472139492] 1 [4012:120394:1]
109650df (1 curve)	1	2- 3- 5+ 17- 43-	2- 3- 5+ -3  0  1 17-  4
Curve Equation t Generators 109650df1 [1,0,0,-50510688,74490964992] 1 [-5328:441264:1]
109650dg (1 curve)	1	2- 3- 5+ 17- 43-	2- 3- 5+ -3 -4 -5 17-  2
Curve Equation t Generators 109650dg1 [1,0,0,-97188,-855073008] 1 [3312:185844:1]
109650dh (1 curve)	1	2- 3- 5+ 17- 43-	2- 3- 5+ -3  6 -5 17-  7
Curve Equation t Generators 109650dh1 [1,0,0,27562,-523758] 1 [2246:42227:8]
109650di (1 curve)	1	2- 3- 5- 17+ 43-	2- 3- 5-  0 -1  7 17+ -2
Curve Equation t Generators 109650di1 [1,0,0,-433443,-340724223] 1 [1602:-56271:1]
109650dj (1 curve)	1	2- 3- 5- 17+ 43-	2- 3- 5-  3  3 -7 17+ -6
Curve Equation t Generators 109650dj1 [1,0,0,42,-18] 1 [6:27:8]
109650dk (1 curve)	1	2- 3- 5- 17+ 43-	2- 3- 5- -3  2  1 17+ -2
Curve Equation t Generators 109650dk1 [1,0,0,-10388,-107358] 1 [-634:4067:8]
109650dl (2 curves)	1	2- 3- 5- 17+ 43-	2- 3- 5- -4 -3  5 17+  2
Curve Equation t Generators 109650dl1 [1,0,0,27862,483492] 3 [196:3574:1] 109650dl2 [1,0,0,-332138,-83857308] 1 [1096:-30026:1]
109650dm (1 curve)	1	2- 3- 5- 17- 43+	2- 3- 5-  0  1 -1 17- -4
Curve Equation t Generators 109650dm1 [1,0,0,-2183888,1242043392] 1 [952:4624:1]
109650dn (1 curve)	1	2- 3- 5- 17- 43+	2- 3- 5-  0  1 -1 17-  6
Curve Equation t Generators 109650dn1 [1,0,0,-14513,-764733] 1 [10228:59011:64]
109650do (1 curve)	1	2- 3- 5- 17- 43+	2- 3- 5-  4 -3  3 17- -4
Curve Equation t Generators 109650do1 [1,0,0,362,-40108] 1 [98:920:1]
109650dp (1 curve)	0	2- 3- 5- 17- 43-	2- 3- 5-  3 -1  2 17-  0
Curve Equation t 109650dp1 [1,0,0,-13922388,21216741642] 1

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