Cremona's table of elliptic curves

108192 = 2⁵ · 3 · 7² · 23

Class	r	Atkin-Lehner	Eigenvalues
108192a (1 curve)	1	2+ 3+ 7+ 23+	2+ 3+  4 7+ -3  6  3 -2
Curve Equation t Generators 108192a1 [0,-1,0,797704,-328049532] 1 [71152591170178552054562640:3164637825464620945406331282:44185346689443458271625]
108192b (2 curves)	0	2+ 3+ 7- 23+	2+ 3+  0 7-  0 -4  4  0
Curve Equation t 108192b1 [0,-1,0,-23438,11730384] 2 108192b2 [0,-1,0,-930673,343959841] 2
108192c (1 curve)	0	2+ 3+ 7- 23+	2+ 3+  2 7- -1  0 -6  1
Curve Equation t 108192c1 [0,-1,0,-558077,-165068427] 1
108192d (2 curves)	0	2+ 3+ 7- 23+	2+ 3+  2 7-  2 -6  0  4
Curve Equation t 108192d1 [0,-1,0,278,568] 2 108192d2 [0,-1,0,-1192,5860] 2
108192e (4 curves)	0	2+ 3+ 7- 23+	2+ 3+  2 7- -4 -6  2  0
Curve Equation t 108192e1 [0,-1,0,-36962,-2686200] 4 108192e2 [0,-1,0,-3152,-7446648] 2 108192e3 [0,-1,0,-72977,3443553] 2 108192e4 [0,-1,0,-589192,-173877500] 2
108192f (2 curves)	0	2+ 3+ 7- 23+	2+ 3+ -2 7- -2  2  0 -8
Curve Equation t 108192f1 [0,-1,0,127286,26580520] 2 108192f2 [0,-1,0,-944344,282485764] 2
108192g (2 curves)	2	2+ 3+ 7- 23+	2+ 3+ -4 7- -6 -6  2  2
Curve Equation t Generators 108192g1 [0,-1,0,-2270,66816] 2 [-26:328:1]&[-9:294:1] 108192g2 [0,-1,0,-41960,3321396] 2 [-44:2254:1]&[5:1764:1]
108192h (2 curves)	1	2+ 3+ 7- 23-	2+ 3+  0 7-  0  4 -4  0
Curve Equation t Generators 108192h1 [0,-1,0,-478,34336] 2 [55:414:1] 108192h2 [0,-1,0,-18993,1008225] 2 [-37:1288:1]
108192i (2 curves)	1	2+ 3+ 7- 23-	2+ 3+  0 7- -2  2  6  2
Curve Equation t Generators 108192i1 [0,-1,0,82,5664] 2 [16:104:1] 108192i2 [0,-1,0,-4328,107976] 2 [5:294:1]
108192j (1 curve)	1	2+ 3+ 7- 23-	2+ 3+  1 7-  6  1 -3  0
Curve Equation t Generators 108192j1 [0,-1,0,-1501425,708615489] 1 [2711:128668:1]
108192k (4 curves)	1	2+ 3+ 7- 23-	2+ 3+ -2 7-  0 -2  6  0
Curve Equation t Generators 108192k1 [0,-1,0,-7954,-262856] 4 [678:17480:1] 108192k2 [0,-1,0,2336,-904952] 2 [1065780:10591987:8000] 108192k3 [0,-1,0,-19224,661284] 2 [-135:882:1] 108192k4 [0,-1,0,-126289,-17232095] 2 [89895:2028592:125]
108192l (2 curves)	1	2+ 3+ 7- 23-	2+ 3+ -2 7-  4 -4  0 -2
Curve Equation t Generators 108192l1 [0,-1,0,-347034,119098008] 2 [342:6348:1] 108192l2 [0,-1,0,-6308864,6100005864] 2 [1469:414:1]
108192m (1 curve)	1	2+ 3+ 7- 23-	2+ 3+ -2 7-  5 -4 -6  5
Curve Equation t Generators 108192m1 [0,-1,0,-3789,114885] 1 [47:196:1]
108192n (1 curve)	1	2+ 3+ 7- 23-	2+ 3+ -3 7- -2  1 -7  8
Curve Equation t Generators 108192n1 [0,-1,0,-177,-1791] 1 [23:76:1]
108192o (1 curve)	1	2+ 3- 7+ 23-	2+ 3- -1 7+  6 -1  3  0
Curve Equation t Generators 108192o1 [0,1,0,-30641,-2074689] 1 [1957440747923073:20447170371720996:7586148816449]
108192p (1 curve)	1	2+ 3- 7+ 23-	2+ 3-  3 7+ -2 -1  7 -8
Curve Equation t Generators 108192p1 [0,1,0,-8689,631679] 1 [65:588:1]
108192q (2 curves)	1	2+ 3- 7- 23+	2+ 3-  0 7-  0  4 -4  0
Curve Equation t Generators 108192q1 [0,1,0,-478,-34336] 2 [65:462:1] 108192q2 [0,1,0,-18993,-1008225] 2 [-78:69:1]
108192r (2 curves)	1	2+ 3- 7- 23+	2+ 3-  0 7-  2  2  6 -2
Curve Equation t Generators 108192r1 [0,1,0,82,-5664] 2 [66:540:1] 108192r2 [0,1,0,-4328,-107976] 2 [142:1470:1]
108192s (2 curves)	1	2+ 3- 7- 23+	2+ 3-  2 7-  0  0  0  2
Curve Equation t Generators 108192s1 [0,1,0,278,24128] 2 [37:294:1] 108192s2 [0,1,0,-10992,425340] 2 [-726:6615:8]
108192t (1 curve)	1	2+ 3- 7- 23+	2+ 3- -2 7- -5 -4 -6 -5
Curve Equation t Generators 108192t1 [0,1,0,-3789,-114885] 1 [93:588:1]
108192u (1 curve)	1	2+ 3- 7- 23+	2+ 3- -4 7- -3 -6 -3  2
Curve Equation t Generators 108192u1 [0,1,0,16280,961064] 1 [242:-4374:1]
108192v (2 curves)	0	2+ 3- 7- 23-	2+ 3-  0 7-  0 -4  4  0
Curve Equation t 108192v1 [0,1,0,-23438,-11730384] 2 108192v2 [0,1,0,-930673,-343959841] 2
108192w (2 curves)	0	2+ 3- 7- 23-	2+ 3-  0 7-  4 -2  0 -2
Curve Equation t 108192w1 [0,1,0,1062,-10368] 2 108192w2 [0,1,0,-5553,-99009] 2
108192x (2 curves)	0	2+ 3- 7- 23-	2+ 3- -4 7-  6 -6  2 -2
Curve Equation t 108192x1 [0,1,0,-2270,-66816] 2 108192x2 [0,1,0,-41960,-3321396] 2
108192y (1 curve)	2	2- 3+ 7+ 23+	2- 3+ -1 7+ -6 -1  3  0
Curve Equation t Generators 108192y1 [0,-1,0,-30641,2074689] 1 [-135:1932:1]&[103:28:1]
108192z (1 curve)	0	2- 3+ 7+ 23+	2- 3+  3 7+  2 -1  7  8
Curve Equation t 108192z1 [0,-1,0,-8689,-631679] 1
108192ba (1 curve)	1	2- 3+ 7+ 23-	2- 3+  1 7+ -4 -5 -3 -4
Curve Equation t Generators 108192ba1 [0,-1,0,172415,93427153] 1 [-117:8464:1]
108192bb (2 curves)	1	2- 3+ 7- 23+	2- 3+  0 7- -4 -2  0  2
Curve Equation t Generators 108192bb1 [0,-1,0,1062,10368] 2 [-8:36:1] 108192bb2 [0,-1,0,-5553,99009] 2 [-79:196:1]
108192bc (1 curve)	1	2- 3+ 7- 23+	2- 3+  1 7-  6  1 -4  2
Curve Equation t Generators 108192bc1 [0,-1,0,-240,4824] 1 [61:462:1]
108192bd (1 curve)	1	2- 3+ 7- 23+	2- 3+ -1 7-  4  5  3 -4
Curve Equation t Generators 108192bd1 [0,-1,0,3519,271377] 1 [464:10079:1]
108192be (1 curve)	1	2- 3+ 7- 23+	2- 3+ -1 7- -4  1 -8  0
Curve Equation t Generators 108192be1 [0,-1,0,-16,8212] 1 [12:-98:1]
108192bf (4 curves)	1	2- 3+ 7- 23+	2- 3+  2 7-  4  2 -6 -4
Curve Equation t Generators 108192bf1 [0,-1,0,-6582,77400] 4 [1164:39600:1] 108192bf2 [0,-1,0,24288,571320] 2 [593224:20369525:512] 108192bf3 [0,-1,0,-57297,-5207103] 2 [-147:132:1] 108192bf4 [0,-1,0,-85472,9638868] 2 [61:2156:1]
108192bg (4 curves)	1	2- 3+ 7- 23+	2- 3+  2 7- -4 -2 -2  0
Curve Equation t Generators 108192bg1 [0,-1,0,-426022,-106871960] 4 [160041084:18331304200:12167] 108192bg2 [0,-1,0,-386577,-127501695] 2 [52589:12058900:1] 108192bg3 [0,-1,0,-465712,-85725128] 2 [-5849426:-21371301:10648] 108192bg4 [0,-1,0,-6816112,-6847138892] 2 [958024406127749961:-107975120666685704300:72266805752077]
108192bh (1 curve)	1	2- 3+ 7- 23+	2- 3+ -2 7-  3  4 -2  1
Curve Equation t Generators 108192bh1 [0,-1,0,-3789,26160933] 1 [2987:163268:1]
108192bi (2 curves)	1	2- 3+ 7- 23+	2- 3+ -4 7-  4 -2  6 -6
Curve Equation t Generators 108192bi1 [0,-1,0,-4230,-197784] 2 [114:888:1] 108192bi2 [0,-1,0,-83120,-9191244] 2 [38852:818847:64]
108192bj (1 curve)	0	2- 3+ 7- 23-	2- 3+  1 7-  0  1  4 -8
Curve Equation t 108192bj1 [0,-1,0,-42979680,-108446072076] 1
108192bk (1 curve)	0	2- 3+ 7- 23-	2- 3+ -1 7- -6 -1  4  2
Curve Equation t 108192bk1 [0,-1,0,-11776,1631092] 1
108192bl (2 curves)	0	2- 3+ 7- 23-	2- 3+  2 7-  0  0  0 -2
Curve Equation t 108192bl1 [0,-1,0,278,-24128] 2 108192bl2 [0,-1,0,-10992,-425340] 2
108192bm (2 curves)	0	2- 3+ 7- 23-	2- 3+  4 7- -4  2 -6 -6
Curve Equation t 108192bm1 [0,-1,0,-86,-552] 2 108192bm2 [0,-1,0,-1696,-26312] 2
108192bn (1 curve)	0	2- 3+ 7- 23-	2- 3+ -4 7-  3 -6 -3 -2
Curve Equation t 108192bn1 [0,-1,0,16280,-961064] 1
108192bo (1 curve)	1	2- 3- 7+ 23+	2- 3-  1 7+  4 -5 -3  4
Curve Equation t Generators 108192bo1 [0,1,0,172415,-93427153] 1 [1682:70413:1]
108192bp (1 curve)	0	2- 3- 7+ 23-	2- 3-  4 7+  3  6  3  2
Curve Equation t 108192bp1 [0,1,0,797704,328049532] 1
108192bq (1 curve)	0	2- 3- 7- 23+	2- 3-  1 7-  0  1  4  8
Curve Equation t 108192bq1 [0,1,0,-42979680,108446072076] 1
108192br (1 curve)	0	2- 3- 7- 23+	2- 3-  1 7- -6  1 -3  0
Curve Equation t 108192br1 [0,1,0,-1501425,-708615489] 1
108192bs (1 curve)	0	2- 3- 7- 23+	2- 3- -1 7-  6 -1  4 -2
Curve Equation t 108192bs1 [0,1,0,-11776,-1631092] 1
108192bt (4 curves)	0	2- 3- 7- 23+	2- 3- -2 7-  0 -2  6  0
Curve Equation t 108192bt1 [0,1,0,-7954,262856] 4 108192bt2 [0,1,0,2336,904952] 2 108192bt3 [0,1,0,-19224,-661284] 2 108192bt4 [0,1,0,-126289,17232095] 2
108192bu (2 curves)	0	2- 3- 7- 23+	2- 3- -2 7- -4 -4  0  2
Curve Equation t 108192bu1 [0,1,0,-347034,-119098008] 2 108192bu2 [0,1,0,-6308864,-6100005864] 2
108192bv (1 curve)	2	2- 3- 7- 23+	2- 3- -3 7-  2  1 -7 -8
Curve Equation t Generators 108192bv1 [0,1,0,-177,1791] 1 [-15:36:1]&[3:-36:1]
108192bw (2 curves)	0	2- 3- 7- 23+	2- 3-  4 7-  4  2 -6  6
Curve Equation t 108192bw1 [0,1,0,-86,552] 2 108192bw2 [0,1,0,-1696,26312] 2
108192bx (1 curve)	1	2- 3- 7- 23-	2- 3-  1 7- -6  1 -4 -2
Curve Equation t Generators 108192bx1 [0,1,0,-240,-4824] 1 [30:126:1]
108192by (1 curve)	1	2- 3- 7- 23-	2- 3- -1 7-  4  1 -8  0
Curve Equation t Generators 108192by1 [0,1,0,-16,-8212] 1 [957:5194:27]
108192bz (1 curve)	1	2- 3- 7- 23-	2- 3- -1 7- -4  5  3  4
Curve Equation t Generators 108192bz1 [0,1,0,3519,-271377] 1 [69:552:1]
108192ca (1 curve)	1	2- 3- 7- 23-	2- 3-  2 7-  1  0 -6 -1
Curve Equation t Generators 108192ca1 [0,1,0,-558077,165068427] 1 [289:-5292:1]
108192cb (2 curves)	1	2- 3- 7- 23-	2- 3-  2 7- -2 -6  0 -4
Curve Equation t Generators 108192cb1 [0,1,0,278,-568] 2 [244:3828:1] 108192cb2 [0,1,0,-1192,-5860] 2 [326381:5069490:1331]
108192cc (4 curves)	1	2- 3- 7- 23-	2- 3-  2 7-  4 -2 -2  0
Curve Equation t Generators 108192cc1 [0,1,0,-426022,106871960] 4 [398:720:1] 108192cc2 [0,1,0,-386577,127501695] 2 [135:8820:1] 108192cc3 [0,1,0,-465712,85725128] 2 [-418:14406:1] 108192cc4 [0,1,0,-6816112,6847138892] 2 [204055:1068984:125]
108192cd (4 curves)	1	2- 3- 7- 23-	2- 3-  2 7-  4 -6  2  0
Curve Equation t Generators 108192cd1 [0,1,0,-36962,2686200] 4 [586590:4191704:3375] 108192cd2 [0,1,0,-3152,7446648] 2 [1902486435:-64442130236:23149125] 108192cd3 [0,1,0,-72977,-3443553] 2 [-3111:50140:27] 108192cd4 [0,1,0,-589192,173877500] 2 [1850:56595:8]
108192ce (4 curves)	1	2- 3- 7- 23-	2- 3-  2 7- -4  2 -6  4
Curve Equation t Generators 108192ce1 [0,1,0,-6582,-77400] 4 [500:11040:1] 108192ce2 [0,1,0,24288,-571320] 2 [86:1470:1] 108192ce3 [0,1,0,-57297,5207103] 2 [-201:2940:1] 108192ce4 [0,1,0,-85472,-9638868] 2 [14529:270640:27]
108192cf (2 curves)	1	2- 3- 7- 23-	2- 3- -2 7-  2  2  0  8
Curve Equation t Generators 108192cf1 [0,1,0,127286,-26580520] 2 [317:6762:1] 108192cf2 [0,1,0,-944344,-282485764] 2 [1775:60306:1]
108192cg (1 curve)	1	2- 3- 7- 23-	2- 3- -2 7- -3  4 -2 -1
Curve Equation t Generators 108192cg1 [0,1,0,-3789,-26160933] 1 [17211:410228:27]
108192ch (2 curves)	1	2- 3- 7- 23-	2- 3- -4 7- -4 -2  6  6
Curve Equation t Generators 108192ch1 [0,1,0,-4230,197784] 2 [-36:552:1] 108192ch2 [0,1,0,-83120,9191244] 2 [307:3564:1]

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