Cremona's table of elliptic curves

55200 = 2⁵ · 3 · 5² · 23

Class	r	Atkin-Lehner	Eigenvalues
55200a (1 curve)	1	2+ 3+ 5+ 23+	2+ 3+ 5+  1 -5 -5  0 -3
Curve Equation t Generators 55200a1 [0,-1,0,-1473,22257] 1 [21:-12:1]
55200b (1 curve)	1	2+ 3+ 5+ 23+	2+ 3+ 5+ -1 -5 -1  0  3
Curve Equation t Generators 55200b1 [0,-1,0,-1781713,915538177] 1 [496:12393:1]
55200c (2 curves)	1	2+ 3+ 5+ 23+	2+ 3+ 5+ -2 -6 -2  4 -8
Curve Equation t Generators 55200c1 [0,-1,0,742,-280488] 2 [687:18000:1] 55200c2 [0,-1,0,-60008,-5504988] 2 [-128:250:1]
55200d (2 curves)	1	2+ 3+ 5+ 23+	2+ 3+ 5+  4 -2  4 -6  0
Curve Equation t Generators 55200d1 [0,-1,0,-258,-4488] 2 [4269:53200:27] 55200d2 [0,-1,0,-6008,-176988] 2 [632:15750:1]
55200e (1 curve)	1	2+ 3+ 5+ 23+	2+ 3+ 5+ -5  0 -5  4 -5
Curve Equation t Generators 55200e1 [0,-1,0,1027,5877] 1 [163:2116:1]
55200f (4 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  0 -4  6 -6  4
Curve Equation t 55200f1 [0,-1,0,-3658,70312] 4 55200f2 [0,-1,0,7592,407812] 4 55200f3 [0,-1,0,-18033,-864063] 2 55200f4 [0,-1,0,-55408,5038312] 2
55200g (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  0  6 -4 -2 -4
Curve Equation t 55200g1 [0,-1,0,742,-10488] 2 55200g2 [0,-1,0,-5008,-102488] 2
55200h (1 curve)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  1 -3  7  8  5
Curve Equation t 55200h1 [0,-1,0,-10833,129537] 1
55200i (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  2 -4 -2  0 -2
Curve Equation t 55200i1 [0,-1,0,542,-4088] 2 55200i2 [0,-1,0,-2833,-34463] 2
55200j (1 curve)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  3  0  2  7  2
Curve Equation t 55200j1 [0,-1,0,-210768,37350792] 1
55200k (2 curves)	2	2+ 3+ 5+ 23-	2+ 3+ 5+ -4 -4  2 -2 -2
Curve Equation t Generators 55200k1 [0,-1,0,-2258,42012] 2 [-53:100:1]&[22:50:1] 55200k2 [0,-1,0,-1633,65137] 2 [-48:175:1]&[-23:300:1]
55200l (1 curve)	0	2+ 3+ 5- 23+	2+ 3+ 5-  1  5  5  0  3
Curve Equation t 55200l1 [0,-1,0,-36833,-2708463] 1
55200m (1 curve)	0	2+ 3+ 5- 23+	2+ 3+ 5- -1  4  4  3  2
Curve Equation t 55200m1 [0,-1,0,-2333,-189963] 1
55200n (1 curve)	2	2+ 3+ 5- 23+	2+ 3+ 5- -1 -4 -4 -3 -2
Curve Equation t Generators 55200n1 [0,-1,0,-93,1557] 1 [-13:20:1]&[3:-36:1]
55200o (2 curves)	0	2+ 3+ 5- 23+	2+ 3+ 5-  2  0  0  2  4
Curve Equation t 55200o1 [0,-1,0,-18,-168] 2 55200o2 [0,-1,0,-593,-5343] 2
55200p (2 curves)	0	2+ 3+ 5- 23+	2+ 3+ 5-  2  0  0 -2 -4
Curve Equation t 55200p1 [0,-1,0,-458,21912] 2 55200p2 [0,-1,0,-14833,697537] 2
55200q (2 curves)	0	2+ 3+ 5- 23+	2+ 3+ 5- -2 -2  6 -6 -4
Curve Equation t 55200q1 [0,-1,0,43110042,-155760869088] 2 55200q2 [0,-1,0,-306691208,-1620728504088] 2
55200r (1 curve)	0	2+ 3+ 5- 23+	2+ 3+ 5- -5  0  5 -4  5
Curve Equation t 55200r1 [0,-1,0,25667,-785963] 1
55200s (1 curve)	1	2+ 3+ 5- 23-	2+ 3+ 5-  1 -4 -4 -7  2
Curve Equation t Generators 55200s1 [0,-1,0,-87693,-9966843] 1 [1932:83835:1]
55200t (2 curves)	1	2+ 3+ 5- 23-	2+ 3+ 5- -2  2  2  2 -4
Curve Equation t Generators 55200t1 [0,-1,0,-1718,30432] 2 [-2:184:1] 55200t2 [0,-1,0,-28168,1829032] 2 [113:276:1]
55200u (1 curve)	1	2+ 3+ 5- 23-	2+ 3+ 5-  3  0 -2 -7 -2
Curve Equation t Generators 55200u1 [0,-1,0,-5269208,-4658310588] 1 [1290920:127614902:125]
55200v (4 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  0  0  6 -6  8
Curve Equation t 55200v1 [0,1,0,-17258,865488] 4 55200v2 [0,1,0,-11633,1444863] 2 55200v3 [0,1,0,-23008,232988] 2 55200v4 [0,1,0,-276008,55720488] 4
55200w (1 curve)	0	2+ 3- 5+ 23+	2+ 3- 5+ -1  3  7  8 -5
Curve Equation t 55200w1 [0,1,0,-10833,-129537] 1
55200x (2 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  2  2  2  0 -8
Curve Equation t 55200x1 [0,1,0,64942,9723888] 2 55200x2 [0,1,0,-481808,102671388] 2
55200y (2 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  2 -2 -6  0  4
Curve Equation t 55200y1 [0,1,0,142,288] 2 55200y2 [0,1,0,-608,1788] 2
55200z (1 curve)	0	2+ 3- 5+ 23+	2+ 3- 5+ -3  3  3  0 -7
Curve Equation t 55200z1 [0,1,0,-160833,-24879537] 1
55200ba (2 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  4  4  2 -2  2
Curve Equation t 55200ba1 [0,1,0,-2258,-42012] 2 55200ba2 [0,1,0,-1633,-65137] 2
55200bb (4 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0  0  2  2  4
Curve Equation t Generators 55200bb1 [0,1,0,-15658,-109312] 4 [-32:600:1] 55200bb2 [0,1,0,61967,-807937] 2 [589:15504:1] 55200bb3 [0,1,0,-159408,24328188] 2 [-297:6750:1] 55200bb4 [0,1,0,-184408,-30484312] 2 [778:17250:1]
55200bc (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+  1  5 -1  0 -3
Curve Equation t Generators 55200bc1 [0,1,0,-1781713,-915538177] 1 [-766:621:1]
55200bd (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+ -1  0 -6  7  6
Curve Equation t Generators 55200bd1 [0,1,0,-88,488] 1 [2:-18:1]
55200be (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+ -5  1  3  4  7
Curve Equation t Generators 55200be1 [0,1,0,-2753,30543] 1 [-41:276:1]
55200bf (1 curve)	1	2+ 3- 5- 23+	2+ 3- 5- -1  4 -4 -7 -2
Curve Equation t Generators 55200bf1 [0,1,0,-87693,9966843] 1 [93:1620:1]
55200bg (2 curves)	1	2+ 3- 5- 23+	2+ 3- 5-  2 -2  2  2  4
Curve Equation t Generators 55200bg1 [0,1,0,-1718,-30432] 2 [298:5100:1] 55200bg2 [0,1,0,-28168,-1829032] 2 [278:3450:1]
55200bh (1 curve)	1	2+ 3- 5- 23+	2+ 3- 5- -3 -3 -3  0  7
Curve Equation t Generators 55200bh1 [0,1,0,-6433,196463] 1 [47:12:1]
55200bi (1 curve)	0	2+ 3- 5- 23-	2+ 3- 5- -1  0  6 -7 -6
Curve Equation t 55200bi1 [0,1,0,-2208,-65412] 1
55200bj (2 curves)	0	2+ 3- 5- 23-	2+ 3- 5-  2  2  6 -6  4
Curve Equation t 55200bj1 [0,1,0,43110042,155760869088] 2 55200bj2 [0,1,0,-306691208,1620728504088] 2
55200bk (1 curve)	2	2+ 3- 5- 23-	2+ 3- 5- -5 -1 -3 -4 -7
Curve Equation t Generators 55200bk1 [0,1,0,-68833,-3955537] 1 [-217:900:1]&[-211:1104:1]
55200bl (4 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  0  0  2  2 -4
Curve Equation t 55200bl1 [0,-1,0,-15658,109312] 4 55200bl2 [0,-1,0,61967,807937] 2 55200bl3 [0,-1,0,-159408,-24328188] 2 55200bl4 [0,-1,0,-184408,30484312] 2
55200bm (2 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  0 -2  2  6 -2
Curve Equation t 55200bm1 [0,-1,0,42,-2088] 2 55200bm2 [0,-1,0,-2208,-38088] 2
55200bn (2 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  0  4  2 -6 -2
Curve Equation t 55200bn1 [0,-1,0,-1675658,835441812] 2 55200bn2 [0,-1,0,-1660033,851769937] 2
55200bo (1 curve)	0	2- 3+ 5+ 23+	2- 3+ 5+  1  0 -6  7 -6
Curve Equation t 55200bo1 [0,-1,0,-88,-488] 1
55200bp (1 curve)	0	2- 3+ 5+ 23+	2- 3+ 5+  5 -1  3  4 -7
Curve Equation t 55200bp1 [0,-1,0,-2753,-30543] 1
55200bq (4 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+  0  0  6 -6 -8
Curve Equation t Generators 55200bq1 [0,-1,0,-17258,-865488] 4 [21466:1110375:8] 55200bq2 [0,-1,0,-11633,-1444863] 4 [152:525:1] 55200bq3 [0,-1,0,-23008,-232988] 2 [-88:1050:1] 55200bq4 [0,-1,0,-276008,-55720488] 2 [583998:29737981:216]
55200br (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+ -2  2 -6  0 -4
Curve Equation t Generators 55200br1 [0,-1,0,142,-288] 2 [8:36:1] 55200br2 [0,-1,0,-608,-1788] 2 [-8:50:1]
55200bs (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+ -2 -2  2  0  8
Curve Equation t Generators 55200bs1 [0,-1,0,64942,-9723888] 2 [3369:14950:27] 55200bs2 [0,-1,0,-481808,-102671388] 2 [792:3450:1]
55200bt (1 curve)	1	2- 3+ 5+ 23-	2- 3+ 5+  3 -3  3  0  7
Curve Equation t Generators 55200bt1 [0,-1,0,-160833,24879537] 1 [231:12:1]
55200bu (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+ -4 -6 -6  2 -2
Curve Equation t Generators 55200bu1 [0,-1,0,-1158,-23688] 2 [92:800:1] 55200bu2 [0,-1,0,-21408,-1198188] 2 [-84:18:1]
55200bv (1 curve)	1	2- 3+ 5- 23+	2- 3+ 5-  1  0  6 -7  6
Curve Equation t Generators 55200bv1 [0,-1,0,-2208,65412] 1 [56:338:1]
55200bw (1 curve)	1	2- 3+ 5- 23+	2- 3+ 5- -1  5  1  0 -3
Curve Equation t Generators 55200bw1 [0,-1,0,-44542833,-114353186463] 1 [-3883:6700:1]
55200bx (2 curves)	1	2- 3+ 5- 23+	2- 3+ 5- -2  2 -6  6  4
Curve Equation t Generators 55200bx1 [0,-1,0,1724402,1245397192] 2 [-2588769019865457:-171043286627617924:7145563676581] 55200bx2 [0,-1,0,-12267648,12970735092] 2 [-15941852:-670081126:4913]
55200by (1 curve)	1	2- 3+ 5- 23+	2- 3+ 5-  5  1 -3 -4  7
Curve Equation t Generators 55200by1 [0,-1,0,-68833,3955537] 1 [-233:2700:1]
55200bz (1 curve)	2	2- 3+ 5- 23-	2- 3+ 5-  1  3 -7 -8 -5
Curve Equation t Generators 55200bz1 [0,-1,0,-433,-863] 1 [37:180:1]&[-17:36:1]
55200ca (1 curve)	0	2- 3+ 5- 23-	2- 3+ 5-  1  4  4  7 -2
Curve Equation t 55200ca1 [0,-1,0,-2192333,1250240037] 1
55200cb (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5- -2 -2 -2 -2  4
Curve Equation t 55200cb1 [0,-1,0,-42958,-3718088] 2 55200cb2 [0,-1,0,-704208,-227220588] 2
55200cc (1 curve)	0	2- 3+ 5- 23-	2- 3+ 5-  3  3 -3  0 -7
Curve Equation t 55200cc1 [0,-1,0,-6433,-196463] 1
55200cd (4 curves)	1	2- 3- 5+ 23+	2- 3- 5+  0  4  6 -6 -4
Curve Equation t Generators 55200cd1 [0,1,0,-3658,-70312] 4 [74:264:1] 55200cd2 [0,1,0,7592,-407812] 2 [3236:21021:64] 55200cd3 [0,1,0,-18033,864063] 4 [-147:600:1] 55200cd4 [0,1,0,-55408,-5038312] 2 [1799:75636:1]
55200ce (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+  0 -6 -4 -2  4
Curve Equation t Generators 55200ce1 [0,1,0,742,10488] 2 [13:150:1] 55200ce2 [0,1,0,-5008,102488] 2 [-22:450:1]
55200cf (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+ -2  4 -2  0  2
Curve Equation t Generators 55200cf1 [0,1,0,542,4088] 2 [2:72:1] 55200cf2 [0,1,0,-2833,34463] 2 [-37:300:1]
55200cg (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+ -3  0  2  7 -2
Curve Equation t Generators 55200cg1 [0,1,0,-210768,-37350792] 1 [1851954:43089054:2197]
55200ch (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+  4  6 -6  2  2
Curve Equation t Generators 55200ch1 [0,1,0,-1158,23688] 2 [12:108:1] 55200ch2 [0,1,0,-21408,1198188] 2 [87:42:1]
55200ci (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  0  2  2  6  2
Curve Equation t 55200ci1 [0,1,0,42,2088] 2 55200ci2 [0,1,0,-2208,38088] 2
55200cj (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  0 -4  2 -6  2
Curve Equation t 55200cj1 [0,1,0,-1675658,-835441812] 2 55200cj2 [0,1,0,-1660033,-851769937] 2
55200ck (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+ -1  5 -5  0  3
Curve Equation t 55200ck1 [0,1,0,-1473,-22257] 1
55200cl (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  2  6 -2  4  8
Curve Equation t 55200cl1 [0,1,0,742,280488] 2 55200cl2 [0,1,0,-60008,5504988] 2
55200cm (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+ -4  2  4 -6  0
Curve Equation t 55200cm1 [0,1,0,-258,4488] 2 55200cm2 [0,1,0,-6008,176988] 2
55200cn (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+  5  0 -5  4  5
Curve Equation t 55200cn1 [0,1,0,1027,-5877] 1
55200co (1 curve)	2	2- 3- 5- 23+	2- 3- 5- -1 -3 -7 -8  5
Curve Equation t Generators 55200co1 [0,1,0,-433,863] 1 [23:-60:1]&[-17:60:1]
55200cp (1 curve)	0	2- 3- 5- 23+	2- 3- 5- -1 -4  4  7  2
Curve Equation t 55200cp1 [0,1,0,-2192333,-1250240037] 1
55200cq (2 curves)	0	2- 3- 5- 23+	2- 3- 5-  2  2 -2 -2 -4
Curve Equation t 55200cq1 [0,1,0,-42958,3718088] 2 55200cq2 [0,1,0,-704208,227220588] 2
55200cr (1 curve)	0	2- 3- 5- 23+	2- 3- 5- -3  0 -2 -7  2
Curve Equation t 55200cr1 [0,1,0,-5269208,4658310588] 1
55200cs (1 curve)	1	2- 3- 5- 23-	2- 3- 5-  1  4 -4 -3  2
Curve Equation t Generators 55200cs1 [0,1,0,-93,-1557] 1 [33:-180:1]
55200ct (1 curve)	1	2- 3- 5- 23-	2- 3- 5-  1 -4  4  3 -2
Curve Equation t Generators 55200ct1 [0,1,0,-2333,189963] 1 [133:1500:1]
55200cu (1 curve)	1	2- 3- 5- 23-	2- 3- 5-  1 -5  1  0  3
Curve Equation t Generators 55200cu1 [0,1,0,-44542833,114353186463] 1 [-3417:476100:1]
55200cv (1 curve)	1	2- 3- 5- 23-	2- 3- 5- -1 -5  5  0 -3
Curve Equation t Generators 55200cv1 [0,1,0,-36833,2708463] 1 [109:24:1]
55200cw (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  2 -2 -6  6 -4
Curve Equation t Generators 55200cw1 [0,1,0,1724402,-1245397192] 2 [713:18630:1] 55200cw2 [0,1,0,-12267648,-12970735092] 2 [-12006:363285:8]
55200cx (2 curves)	1	2- 3- 5- 23-	2- 3- 5- -2  0  0  2 -4
Curve Equation t Generators 55200cx1 [0,1,0,-18,168] 2 [2:12:1] 55200cx2 [0,1,0,-593,5343] 2 [3:60:1]
55200cy (2 curves)	1	2- 3- 5- 23-	2- 3- 5- -2  0  0 -2  4
Curve Equation t Generators 55200cy1 [0,1,0,-458,-21912] 2 [18942:120912:343] 55200cy2 [0,1,0,-14833,-697537] 2 [227:2772:1]
55200cz (1 curve)	1	2- 3- 5- 23-	2- 3- 5-  5  0  5 -4 -5
Curve Equation t Generators 55200cz1 [0,1,0,25667,785963] 1 [-681:9476:27]

Data from Elliptic Curve Data by J. E. Cremona.
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