Cremona's table of elliptic curves

112200 = 2³ · 3 · 5² · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
112200a (4 curves)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+  0 11+ -6 17+ -8
Curve Equation t Generators 112200a1 [0,-1,0,27492,-614988] 2 [102:1800:1] 112200a2 [0,-1,0,-117008,-4949988] 4 [-263:2750:1] 112200a3 [0,-1,0,-1052008,412060012] 2 [3137:167250:1] 112200a4 [0,-1,0,-1494008,-701711988] 2 [25466:1309375:8]
112200b (2 curves)	1	2+ 3+ 5+ 11+ 17+	2+ 3+ 5+  2 11+  4 17+  6
Curve Equation t Generators 112200b1 [0,-1,0,-300608,-63334788] 2 [-2433591296968:-380307548375:7715442176] 112200b2 [0,-1,0,-317608,-55752788] 2 [-2566577:22288500:6859]
112200c (2 curves)	0	2+ 3+ 5+ 11+ 17-	2+ 3+ 5+ -4 11+  4 17-  0
Curve Equation t 112200c1 [0,-1,0,-4608,-118788] 2 112200c2 [0,-1,0,-3608,-172788] 2
112200d (4 curves)	0	2+ 3+ 5+ 11+ 17-	2+ 3+ 5+ -4 11+  6 17-  4
Curve Equation t 112200d1 [0,-1,0,1838617,2250645012] 2 112200d2 [0,-1,0,-18664508,27182445012] 4 112200d3 [0,-1,0,-77187008,-233476769988] 2 112200d4 [0,-1,0,-288192008,1883148810012] 4
112200e (6 curves)	0	2+ 3+ 5+ 11- 17+	2+ 3+ 5+  0 11-  2 17+  4
Curve Equation t 112200e1 [0,-1,0,-86383,9799012] 2 112200e2 [0,-1,0,-96508,7369012] 4 112200e3 [0,-1,0,285992,50974012] 2 112200e4 [0,-1,0,-641008,-191917988] 4 112200e5 [0,-1,0,183992,-652267988] 2 112200e6 [0,-1,0,-10178008,-12494647988] 2
112200f (2 curves)	0	2+ 3+ 5+ 11- 17+	2+ 3+ 5+  0 11-  6 17+ -2
Curve Equation t 112200f1 [0,-1,0,-21708,1235412] 2 112200f2 [0,-1,0,-13208,2204412] 2
112200g (1 curve)	2	2+ 3+ 5+ 11- 17+	2+ 3+ 5+ -1 11- -2 17+ -6
Curve Equation t Generators 112200g1 [0,-1,0,-5233,418837] 1 [57:550:1]&[-68:675:1]
112200h (1 curve)	0	2+ 3+ 5+ 11- 17+	2+ 3+ 5+  3 11-  0 17+ -2
Curve Equation t 112200h1 [0,-1,0,-46263833,-127853988963] 1
112200i (1 curve)	1	2+ 3+ 5+ 11- 17-	2+ 3+ 5+ -1 11-  0 17- -4
Curve Equation t Generators 112200i1 [0,-1,0,7292,171412] 1 [-2:396:1]
112200j (1 curve)	1	2+ 3+ 5+ 11- 17-	2+ 3+ 5+ -4 11-  0 17-  4
Curve Equation t Generators 112200j1 [0,-1,0,47,1717] 1 [13:66:1]
112200k (1 curve)	1	2+ 3+ 5+ 11- 17-	2+ 3+ 5+ -5 11- -5 17-  1
Curve Equation t Generators 112200k1 [0,-1,0,-408,10812] 1 [2:-100:1]
112200l (1 curve)	0	2+ 3+ 5- 11+ 17+	2+ 3+ 5-  3 11+ -2 17+ -2
Curve Equation t 112200l1 [0,-1,0,-37408,-3107588] 1
112200m (1 curve)	2	2+ 3+ 5- 11+ 17+	2+ 3+ 5- -3 11+ -6 17+ -4
Curve Equation t Generators 112200m1 [0,-1,0,-2233,41437] 1 [-53:90:1]&[37:-90:1]
112200n (1 curve)	1	2+ 3+ 5- 11+ 17-	2+ 3+ 5-  0 11+  1 17-  5
Curve Equation t Generators 112200n1 [0,-1,0,22792,2150412] 1 [-67:564:1]
112200o (1 curve)	1	2+ 3+ 5- 11+ 17-	2+ 3+ 5-  3 11+ -4 17-  0
Curve Equation t Generators 112200o1 [0,-1,0,-11208,-501588] 1 [28912331:8394110500:343]
112200p (1 curve)	1	2+ 3+ 5- 11- 17+	2+ 3+ 5-  0 11-  0 17+  6
Curve Equation t Generators 112200p1 [0,-1,0,-4299833,-3601224963] 1 [5153:333234:1]
112200q (1 curve)	1	2+ 3+ 5- 11- 17+	2+ 3+ 5-  3 11- -5 17+  7
Curve Equation t Generators 112200q1 [0,-1,0,-2165833,1239237037] 1 [1017:-9350:1]
112200r (2 curves)	1	2+ 3+ 5- 11- 17+	2+ 3+ 5-  4 11- -2 17+  4
Curve Equation t Generators 112200r1 [0,-1,0,292,-84588] 2 [95030:2618896:125] 112200r2 [0,-1,0,-27208,-1679588] 2 [3042:167500:1]
112200s (1 curve)	2	2+ 3+ 5- 11- 17-	2+ 3+ 5- -3 11-  0 17-  0
Curve Equation t Generators 112200s1 [0,-1,0,-2483,49512] 1 [-57:51:1]&[11:153:1]
112200t (1 curve)	0	2+ 3- 5+ 11+ 17+	2+ 3- 5+  1 11+  4 17+  4
Curve Equation t 112200t1 [0,1,0,684652,676285968] 1
112200u (1 curve)	0	2+ 3- 5+ 11+ 17+	2+ 3- 5+ -3 11+ -1 17+  5
Curve Equation t 112200u1 [0,1,0,-13042008,-18133012512] 1
112200v (4 curves)	0	2+ 3- 5+ 11+ 17+	2+ 3- 5+  4 11+ -2 17+  4
Curve Equation t 112200v1 [0,1,0,-715308,232617888] 2 112200v2 [0,1,0,-715808,232275888] 4 112200v3 [0,1,0,-426808,421859888] 2 112200v4 [0,1,0,-1012808,20811888] 2
112200w (1 curve)	1	2+ 3- 5+ 11+ 17-	2+ 3- 5+  1 11+  1 17- -5
Curve Equation t Generators 112200w1 [0,1,0,37447,-9306837] 1 [229:3366:1]
112200x (1 curve)	1	2+ 3- 5+ 11+ 17-	2+ 3- 5+ -3 11+  2 17-  2
Curve Equation t Generators 112200x1 [0,1,0,352,4848] 1 [52:408:1]
112200y (6 curves)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+  0 11-  2 17+ -4
Curve Equation t Generators 112200y1 [0,1,0,-26383,37756238] 2 [-307:4125:1] 112200y2 [0,1,0,-1856508,963799488] 4 [672:4488:1] 112200y3 [0,1,0,-3369008,-833050512] 4 [3748:198000:1] 112200y4 [0,1,0,-29626008,62056699488] 2 [3147:462:1] 112200y5 [0,1,0,12525992,-6428090512] 2 [23626:1898721:8] 112200y6 [0,1,0,-43464008,-110212210512] 2 [8203:292050:1]
112200z (1 curve)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+ -1 11- -4 17+  0
Curve Equation t Generators 112200z1 [0,1,0,-2689763,-5768529702] 1 [12889:1449459:1]
112200ba (2 curves)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+  2 11- -4 17+  2
Curve Equation t Generators 112200ba1 [0,1,0,-5339408,-4693671312] 2 [-80828:388575:64] 112200ba2 [0,1,0,-10252408,5289544688] 2 [-1957:133650:1]
112200bb (4 curves)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+ -4 11-  2 17+  0
Curve Equation t Generators 112200bb1 [0,1,0,5092,194688] 2 [28:600:1] 112200bb2 [0,1,0,-35408,1976688] 4 [52:528:1] 112200bb3 [0,1,0,-188408,-29847312] 2 [2203:101250:1] 112200bb4 [0,1,0,-530408,148496688] 2 [427:222:1]
112200bc (4 curves)	1	2+ 3- 5+ 11- 17+	2+ 3- 5+ -4 11- -2 17+ -4
Curve Equation t Generators 112200bc1 [0,1,0,5492,-1172512] 2 [49732:1391775:64] 112200bc2 [0,1,0,-139008,-19090512] 4 [3123:173250:1] 112200bc3 [0,1,0,-394008,70669488] 2 [84729:4656806:27] 112200bc4 [0,1,0,-2196008,-1253290512] 2 [-184818:11627:216]
112200bd (2 curves)	0	2+ 3- 5+ 11- 17-	2+ 3- 5+  0 11- -2 17-  6
Curve Equation t 112200bd1 [0,1,0,2992,37488] 2 112200bd2 [0,1,0,-14008,309488] 2
112200be (1 curve)	0	2+ 3- 5+ 11- 17-	2+ 3- 5+ -1 11-  0 17-  0
Curve Equation t 112200be1 [0,1,0,25992,-9586512] 1
112200bf (1 curve)	0	2+ 3- 5+ 11- 17-	2+ 3- 5+  2 11- -3 17-  6
Curve Equation t 112200bf1 [0,1,0,-15368,804528] 1
112200bg (1 curve)	0	2+ 3- 5+ 11- 17-	2+ 3- 5+  3 11-  1 17-  3
Curve Equation t 112200bg1 [0,1,0,-73393,-7677517] 1
112200bh (2 curves)	0	2+ 3- 5+ 11- 17-	2+ 3- 5+ -4 11- -4 17- -4
Curve Equation t 112200bh1 [0,1,0,-1309408,574240688] 2 112200bh2 [0,1,0,-684408,1124240688] 2
112200bi (1 curve)	1	2+ 3- 5- 11+ 17+	2+ 3- 5-  2 11+  4 17+  0
Curve Equation t Generators 112200bi1 [0,1,0,1992,18288] 1 [39:396:1]
112200bj (2 curves)	1	2+ 3- 5- 11- 17-	2+ 3- 5-  0 11- -2 17-  6
Curve Equation t Generators 112200bj1 [0,1,0,132,3168] 2 [3:60:1] 112200bj2 [0,1,0,-2568,46368] 2 [12:132:1]
112200bk (4 curves)	0	2- 3+ 5+ 11+ 17+	2- 3+ 5+  4 11+  2 17+ -4
Curve Equation t 112200bk1 [0,-1,0,-23383,-1368488] 2 112200bk2 [0,-1,0,-23508,-1352988] 4 112200bk3 [0,-1,0,1992,-4157988] 2 112200bk4 [0,-1,0,-51008,2442012] 2
112200bl (1 curve)	1	2- 3+ 5+ 11+ 17-	2- 3+ 5+ -2 11+ -4 17-  0
Curve Equation t Generators 112200bl1 [0,-1,0,49792,2186412] 1 [30531:1046782:27]
112200bm (4 curves)	1	2- 3+ 5+ 11+ 17-	2- 3+ 5+  4 11+  2 17-  0
Curve Equation t Generators 112200bm1 [0,-1,0,-20383,-7704488] 2 [673:16821:1] 112200bm2 [0,-1,0,-723508,-235516988] 4 [-488:1050:1] 112200bm3 [0,-1,0,-1136008,63958012] 2 [2262:95200:1] 112200bm4 [0,-1,0,-11561008,-15126241988] 2 [3966:37268:1]
112200bn (2 curves)	1	2- 3+ 5+ 11+ 17-	2- 3+ 5+  4 11+ -2 17- -2
Curve Equation t Generators 112200bn1 [0,-1,0,-32708,2285412] 2 [52:850:1] 112200bn2 [0,-1,0,-24208,3492412] 2 [86:1428:1]
112200bo (4 curves)	1	2- 3+ 5+ 11+ 17-	2- 3+ 5+ -4 11+  2 17-  4
Curve Equation t Generators 112200bo1 [0,-1,0,2817,23112] 2 [17:275:1] 112200bo2 [0,-1,0,-12308,204612] 4 [-68:850:1] 112200bo3 [0,-1,0,-105808,-13072388] 2 [-178:300:1] 112200bo4 [0,-1,0,-160808,24855612] 2 [262:800:1]
112200bp (1 curve)	0	2- 3+ 5+ 11- 17-	2- 3+ 5+  1 11-  4 17-  0
Curve Equation t 112200bp1 [0,-1,0,19202992,-69996575988] 1
112200bq (1 curve)	0	2- 3+ 5+ 11- 17-	2- 3+ 5+  1 11-  7 17-  1
Curve Equation t 112200bq1 [0,-1,0,50592,-2521188] 1
112200br (2 curves)	0	2- 3+ 5+ 11- 17-	2- 3+ 5+ -2 11-  4 17-  6
Curve Equation t 112200br1 [0,-1,0,-8008,262012] 2 112200br2 [0,-1,0,-25008,-1199988] 2
112200bs (1 curve)	1	2- 3+ 5- 11+ 17+	2- 3+ 5- -1 11+ -1 17+ -5
Curve Equation t Generators 112200bs1 [0,-1,0,936167,-1165226963] 1 [1983:92114:1]
112200bt (1 curve)	1	2- 3+ 5- 11+ 17+	2- 3+ 5-  3 11+ -2 17+  2
Curve Equation t Generators 112200bt1 [0,-1,0,8792,588412] 1 [166:2568:1]
112200bu (1 curve)	0	2- 3+ 5- 11+ 17-	2- 3+ 5- -1 11+ -4 17-  4
Curve Equation t 112200bu1 [0,-1,0,17116292,84501513412] 1
112200bv (2 curves)	0	2- 3+ 5- 11- 17+	2- 3+ 5-  0 11-  2 17+  6
Curve Equation t 112200bv1 [0,-1,0,3292,389412] 2 112200bv2 [0,-1,0,-64208,5924412] 2
112200bw (1 curve)	0	2- 3+ 5- 11- 17+	2- 3+ 5- -2 11-  3 17+  6
Curve Equation t 112200bw1 [0,-1,0,-384208,101334412] 1
112200bx (1 curve)	0	2- 3+ 5- 11- 17+	2- 3+ 5- -3 11- -1 17+  3
Curve Equation t 112200bx1 [0,-1,0,-1834833,-956019963] 1
112200by (1 curve)	1	2- 3+ 5- 11- 17-	2- 3+ 5-  1 11-  4 17-  0
Curve Equation t Generators 112200by1 [0,-1,0,-67244083,-720931724588] 1 [395786:-86548275:8]
112200bz (1 curve)	1	2- 3- 5+ 11+ 17+	2- 3- 5+  0 11+ -1 17+  5
Curve Equation t Generators 112200bz1 [0,1,0,912,17568] 1 [47:408:1]
112200ca (2 curves)	1	2- 3- 5+ 11+ 17+	2- 3- 5+ -2 11+  4 17+  8
Curve Equation t Generators 112200ca1 [0,1,0,897592,-155565312] 2 [328:13200:1] 112200ca2 [0,1,0,-4015408,-1315033312] 2 [-877:39150:1]
112200cb (4 curves)	0	2- 3- 5+ 11+ 17-	2- 3- 5+  0 11+ -6 17-  4
Curve Equation t 112200cb1 [0,1,0,-5508,-148512] 2 112200cb2 [0,1,0,-18008,751488] 4 112200cb3 [0,1,0,36992,4491488] 2 112200cb4 [0,1,0,-273008,54811488] 2
112200cc (4 curves)	0	2- 3- 5+ 11+ 17-	2- 3- 5+  0 11+ -6 17- -4
Curve Equation t 112200cc1 [0,1,0,-1908,-189312] 2 112200cc2 [0,1,0,-62408,-5997312] 4 112200cc3 [0,1,0,-95408,998688] 2 112200cc4 [0,1,0,-997408,-383737312] 2
112200cd (2 curves)	0	2- 3- 5+ 11+ 17-	2- 3- 5+  2 11+  0 17-  2
Curve Equation t 112200cd1 [0,1,0,-3608,60288] 2 112200cd2 [0,1,0,-20608,-1095712] 2
112200ce (1 curve)	0	2- 3- 5+ 11+ 17-	2- 3- 5+  3 11+  6 17- -4
Curve Equation t 112200ce1 [0,1,0,-55833,5067963] 1
112200cf (1 curve)	0	2- 3- 5+ 11+ 17-	2- 3- 5+ -3 11+ -1 17- -5
Curve Equation t 112200cf1 [0,1,0,-1415408,664628688] 1
112200cg (1 curve)	0	2- 3- 5+ 11+ 17-	2- 3- 5+ -3 11+  2 17- -2
Curve Equation t 112200cg1 [0,1,0,-935208,-390318912] 1
112200ch (1 curve)	0	2- 3- 5+ 11+ 17-	2- 3- 5+ -3 11+  6 17-  2
Curve Equation t 112200ch1 [0,1,0,-8810033,-11633257437] 1
112200ci (1 curve)	0	2- 3- 5+ 11+ 17-	2- 3- 5+  5 11+  2 17- -6
Curve Equation t 112200ci1 [0,1,0,-1633,101363] 1
112200cj (2 curves)	0	2- 3- 5+ 11- 17+	2- 3- 5+  0 11- -4 17+ -4
Curve Equation t 112200cj1 [0,1,0,-564008,-163216512] 2 112200cj2 [0,1,0,-539008,-178316512] 2
112200ck (1 curve)	0	2- 3- 5+ 11- 17+	2- 3- 5+  3 11-  0 17+  0
Curve Equation t 112200ck1 [0,1,0,-62083,6064838] 1
112200cl (1 curve)	0	2- 3- 5+ 11- 17+	2- 3- 5+  3 11-  4 17+  6
Curve Equation t 112200cl1 [0,1,0,3367,-185637] 1
112200cm (1 curve)	0	2- 3- 5+ 11- 17+	2- 3- 5+  3 11-  6 17+ -6
Curve Equation t 112200cm1 [0,1,0,-18679633,31479731363] 1
112200cn (1 curve)	1	2- 3- 5+ 11- 17-	2- 3- 5+  0 11-  0 17-  6
Curve Equation t Generators 112200cn1 [0,1,0,-171993,-28878597] 1 [2337:-111078:1]
112200co (1 curve)	1	2- 3- 5+ 11- 17-	2- 3- 5+ -3 11-  5 17-  7
Curve Equation t Generators 112200co1 [0,1,0,-86633,9879243] 1 [577:-12342:1]
112200cp (2 curves)	1	2- 3- 5+ 11- 17-	2- 3- 5+  4 11- -2 17- -2
Curve Equation t Generators 112200cp1 [0,1,0,-1908,14688] 2 [-42:150:1] 112200cp2 [0,1,0,6592,116688] 2 [-8:252:1]
112200cq (1 curve)	0	2- 3- 5- 11+ 17+	2- 3- 5- -3 11+  4 17+  0
Curve Equation t 112200cq1 [0,1,0,-448,-4192] 1
112200cr (1 curve)	1	2- 3- 5- 11- 17+	2- 3- 5-  1 11-  0 17+ -4
Curve Equation t Generators 112200cr1 [0,1,0,292,1488] 1 [-2:30:1]
112200cs (1 curve)	1	2- 3- 5- 11- 17+	2- 3- 5-  4 11-  0 17+  4
Curve Equation t Generators 112200cs1 [0,1,0,1167,216963] 1 [-3:462:1]
112200ct (2 curves)	0	2- 3- 5- 11- 17-	2- 3- 5- -4 11-  2 17-  4
Curve Equation t 112200ct1 [0,1,0,12,-672] 2 112200ct2 [0,1,0,-1088,-13872] 2

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