Cremona's table of elliptic curves

45600 = 2⁵ · 3 · 5² · 19

Class	r	Atkin-Lehner	Eigenvalues
45600a (1 curve)	1	2+ 3+ 5+ 19+	2+ 3+ 5+ -1 -3  0  7 19+
Curve Equation t Generators 45600a1 [0,-1,0,467,14437] 1 [-17:36:1]
45600b (2 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+  2  0  2  4 19+
Curve Equation t Generators 45600b1 [0,-1,0,342,12312] 2 [-17:36:1] 45600b2 [0,-1,0,-6408,187812] 2 [-88:250:1]
45600c (4 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+  4  4 -2 -2 19+
Curve Equation t Generators 45600c1 [0,-1,0,-2858,-57288] 4 [986:9625:8] 45600c2 [0,-1,0,-608,-147288] 2 [8559215:-118566118:42875] 45600c3 [0,-1,0,-5233,54337] 2 [87:500:1] 45600c4 [0,-1,0,-45608,-3733788] 2 [-20453345:-42994:166375]
45600d (4 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+ -4  0  6 -2 19+
Curve Equation t Generators 45600d1 [0,-1,0,-4258,83512] 4 [3:266:1] 45600d2 [0,-1,0,9992,511012] 2 [153:2366:1] 45600d3 [0,-1,0,-23008,-1266488] 2 [1626:12425:8] 45600d4 [0,-1,0,-63633,6199137] 2 [152:125:1]
45600e (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  0  0  0  2 19-
Curve Equation t 45600e1 [0,-1,0,-458,3912] 2 45600e2 [0,-1,0,-208,7912] 2
45600f (4 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  0  0  6  2 19-
Curve Equation t 45600f1 [0,-1,0,-1592258,-564904488] 4 45600f2 [0,-1,0,4048367,-3672888863] 2 45600f3 [0,-1,0,-9186008,10263783012] 4 45600f4 [0,-1,0,-23523008,-43900066488] 2
45600g (1 curve)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -3  3  0 -1 19-
Curve Equation t 45600g1 [0,-1,0,-28733,-1865163] 1
45600h (2 curves)	2	2+ 3+ 5+ 19-	2+ 3+ 5+ -4 -6  2 -6 19-
Curve Equation t Generators 45600h1 [0,-1,0,-58,1612] 2 [-4:42:1]&[6:38:1] 45600h2 [0,-1,0,-2433,46737] 2 [17:100:1]&[-33:300:1]
45600i (1 curve)	0	2+ 3+ 5- 19+	2+ 3+ 5-  0  3 -4  0 19+
Curve Equation t 45600i1 [0,-1,0,-2833,73537] 1
45600j (1 curve)	0	2+ 3+ 5- 19+	2+ 3+ 5- -4  3  0  4 19+
Curve Equation t 45600j1 [0,-1,0,-570833,193809537] 1
45600k (2 curves)	1	2+ 3+ 5- 19-	2+ 3+ 5-  2  2  2  2 19-
Curve Equation t Generators 45600k1 [0,-1,0,-19958,-3209088] 2 [304299:5694452:729] 45600k2 [0,-1,0,-471208,-124144088] 2 [17760336759:-131657383468:21717639]
45600l (4 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  0 -4  2 -2 19+
Curve Equation t 45600l1 [0,1,0,-2258,-4512] 4 45600l2 [0,1,0,8992,-27012] 2 45600l3 [0,1,0,-23633,1384863] 2 45600l4 [0,1,0,-26008,-1619512] 2
45600m (1 curve)	0	2+ 3- 5+ 19+	2+ 3- 5+ -1  5 -4  3 19+
Curve Equation t 45600m1 [0,1,0,-37533,-3820437] 1
45600n (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  2 -2  4  6 19+
Curve Equation t 45600n1 [0,1,0,342,2688] 2 45600n2 [0,1,0,-2033,24063] 2
45600o (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+ -2 -2  0 -2 19+
Curve Equation t 45600o1 [0,1,0,-52658,-6045312] 2 45600o2 [0,1,0,-910033,-334419937] 2
45600p (2 curves)	2	2+ 3- 5+ 19+	2+ 3- 5+ -2 -4 -6  0 19+
Curve Equation t Generators 45600p1 [0,1,0,-3258,133488] 2 [-27:450:1]&[-18:432:1] 45600p2 [0,1,0,-64008,6208488] 2 [162:342:1]&[-237:2850:1]
45600q (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  4  6  2 -6 19+
Curve Equation t 45600q1 [0,1,0,-58,-1612] 2 45600q2 [0,1,0,-2433,-46737] 2
45600r (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+  1  3  0  7 19-
Curve Equation t Generators 45600r1 [0,1,0,467,-14437] 1 [29:156:1]
45600s (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5- -2 -2  2  2 19+
Curve Equation t Generators 45600s1 [0,1,0,-19958,3209088] 2 [58:1500:1] 45600s2 [0,1,0,-471208,124144088] 2 [302:3078:1]
45600t (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  4  0 -2 -6 19+
Curve Equation t Generators 45600t1 [0,1,0,22,48] 2 [22:108:1] 45600t2 [0,1,0,-128,348] 2 [186:819:8]
45600u (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  4  0 -4 -2 19+
Curve Equation t Generators 45600u1 [0,1,0,-458,53088] 2 [-23:228:1] 45600u2 [0,1,0,-24208,1430588] 2 [227:2772:1]
45600v (1 curve)	0	2+ 3- 5- 19-	2+ 3- 5-  0 -3 -4  0 19-
Curve Equation t 45600v1 [0,1,0,-2833,-73537] 1
45600w (2 curves)	0	2+ 3- 5- 19-	2+ 3- 5-  4  0  2  6 19-
Curve Equation t 45600w1 [0,1,0,542,-4912] 2 45600w2 [0,1,0,-3208,-49912] 2
45600x (2 curves)	0	2+ 3- 5- 19-	2+ 3- 5-  4  0  4  2 19-
Curve Equation t 45600x1 [0,1,0,-18,-432] 2 45600x2 [0,1,0,-968,-11832] 2
45600y (1 curve)	0	2+ 3- 5- 19-	2+ 3- 5-  4 -3  0  4 19-
Curve Equation t 45600y1 [0,1,0,-570833,-193809537] 1
45600z (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  0 -2 -2  2 19-
Curve Equation t Generators 45600z1 [0,-1,0,145342,14329812] 2 [211:7372:1] 45600z2 [0,-1,0,-712033,126645937] 2 [2187:95000:1]
45600ba (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+  0 -3  4  0 19-
Curve Equation t Generators 45600ba1 [0,-1,0,-113,-543] 1 [13:4:1]
45600bb (4 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  0  4  2 -2 19-
Curve Equation t Generators 45600bb1 [0,-1,0,-2258,4512] 4 [123:1254:1] 45600bb2 [0,-1,0,8992,27012] 2 [16:418:1] 45600bb3 [0,-1,0,-23633,-1384863] 2 [-88:75:1] 45600bb4 [0,-1,0,-26008,1619512] 2 [4071:28358:27]
45600bc (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+  1 -5 -4  3 19-
Curve Equation t Generators 45600bc1 [0,-1,0,-37533,3820437] 1 [363:6156:1]
45600bd (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  2  0  0  2 19-
Curve Equation t Generators 45600bd1 [0,-1,0,-1658,25812] 2 [2:150:1] 45600bd2 [0,-1,0,-4033,-62063] 2 [-17:36:1]
45600be (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  2  2  0 -2 19-
Curve Equation t Generators 45600be1 [0,-1,0,-52658,6045312] 2 [88:1444:1] 45600be2 [0,-1,0,-910033,334419937] 2 [297:9500:1]
45600bf (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  2  4 -6  0 19-
Curve Equation t Generators 45600bf1 [0,-1,0,-3258,-133488] 2 [1066:10675:8] 45600bf2 [0,-1,0,-64008,-6208488] 2 [909958:-8196875:2744]
45600bg (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+ -2  2  4  6 19-
Curve Equation t Generators 45600bg1 [0,-1,0,342,-2688] 2 [26:152:1] 45600bg2 [0,-1,0,-2033,-24063] 2 [-23:100:1]
45600bh (1 curve)	1	2- 3+ 5+ 19-	2- 3+ 5+ -4 -3  0 -4 19-
Curve Equation t Generators 45600bh1 [0,-1,0,-22833,-1541343] 1 [301:4332:1]
45600bi (2 curves)	1	2- 3+ 5- 19+	2- 3+ 5-  2 -2 -2 -2 19+
Curve Equation t Generators 45600bi1 [0,-1,0,-798,25992] 2 [-28:160:1] 45600bi2 [0,-1,0,-18848,1000692] 2 [76:38:1]
45600bj (2 curves)	1	2- 3+ 5- 19+	2- 3+ 5- -4  0  2  6 19+
Curve Equation t Generators 45600bj1 [0,-1,0,542,4912] 2 [16:132:1] 45600bj2 [0,-1,0,-3208,49912] 2 [378:319:8]
45600bk (2 curves)	1	2- 3+ 5- 19+	2- 3+ 5- -4  0  4  2 19+
Curve Equation t Generators 45600bk1 [0,-1,0,-18,432] 2 [2:20:1] 45600bk2 [0,-1,0,-968,11832] 2 [21:18:1]
45600bl (2 curves)	2	2- 3+ 5- 19-	2- 3+ 5- -4  0 -2 -6 19-
Curve Equation t Generators 45600bl1 [0,-1,0,22,-48] 2 [3:6:1]&[7:20:1] 45600bl2 [0,-1,0,-128,-348] 2 [-8:10:1]&[13:4:1]
45600bm (2 curves)	0	2- 3+ 5- 19-	2- 3+ 5- -4  0 -4 -2 19-
Curve Equation t 45600bm1 [0,-1,0,-458,-53088] 2 45600bm2 [0,-1,0,-24208,-1430588] 2
45600bn (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+  0  0  0  2 19+
Curve Equation t Generators 45600bn1 [0,1,0,-458,-3912] 2 [4719:62074:27] 45600bn2 [0,1,0,-208,-7912] 2 [698:18450:1]
45600bo (4 curves)	1	2- 3- 5+ 19+	2- 3- 5+  0  0  6  2 19+
Curve Equation t Generators 45600bo1 [0,1,0,-1592258,564904488] 4 [1234:21924:1] 45600bo2 [0,1,0,4048367,3672888863] 4 [-607:31500:1] 45600bo3 [0,1,0,-9186008,-10263783012] 2 [66122:-5533983:8] 45600bo4 [0,1,0,-23523008,43900066488] 2 [2578:19950:1]
45600bp (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+  0  2 -2  2 19+
Curve Equation t Generators 45600bp1 [0,1,0,145342,-14329812] 2 [794:8325:8] 45600bp2 [0,1,0,-712033,-126645937] 2 [-727:2700:1]
45600bq (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  0  3  4  0 19+
Curve Equation t Generators 45600bq1 [0,1,0,-113,543] 1 [7:12:1]
45600br (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+ -2  0  0  2 19+
Curve Equation t Generators 45600br1 [0,1,0,-1658,-25812] 2 [49:114:1] 45600br2 [0,1,0,-4033,62063] 2 [-22:375:1]
45600bs (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  3 -3  0 -1 19+
Curve Equation t Generators 45600bs1 [0,1,0,-28733,1865163] 1 [97:-12:1]
45600bt (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+  4  3  0 -4 19+
Curve Equation t Generators 45600bt1 [0,1,0,-22833,1541343] 1 [-121:1596:1]
45600bu (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -2  0  2  4 19-
Curve Equation t 45600bu1 [0,1,0,342,-12312] 2 45600bu2 [0,1,0,-6408,-187812] 2
45600bv (4 curves)	0	2- 3- 5+ 19-	2- 3- 5+  4  0  6 -2 19-
Curve Equation t 45600bv1 [0,1,0,-4258,-83512] 4 45600bv2 [0,1,0,9992,-511012] 2 45600bv3 [0,1,0,-23008,1266488] 2 45600bv4 [0,1,0,-63633,-6199137] 2
45600bw (4 curves)	2	2- 3- 5+ 19-	2- 3- 5+ -4 -4 -2 -2 19-
Curve Equation t Generators 45600bw1 [0,1,0,-2858,57288] 4 [-47:300:1]&[-12:300:1] 45600bw2 [0,1,0,-608,147288] 2 [-41:324:1]&[-38:342:1] 45600bw3 [0,1,0,-5233,-54337] 2 [203:2700:1]&[-47:300:1] 45600bw4 [0,1,0,-45608,3733788] 2 [127:78:1]&[159:726:1]
45600bx (2 curves)	1	2- 3- 5- 19-	2- 3- 5- -2  2 -2 -2 19-
Curve Equation t Generators 45600bx1 [0,1,0,-798,-25992] 2 [57:342:1] 45600bx2 [0,1,0,-18848,-1000692] 2 [247:3078:1]

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