Cremona's table of elliptic curves

12144 = 2⁴ · 3 · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
12144a (1 curve)	2	2+ 3+ 11+ 23-	2+ 3+ -1 -3 11+ -5 -3  0
Curve Equation t Generators 12144a1 [0,-1,0,-56,144] 1 [-7:12:1]&[0:12:1]
12144b (4 curves)	0	2+ 3+ 11+ 23-	2+ 3+  2  0 11+ -2 -2 -4
Curve Equation t 12144b1 [0,-1,0,-87,342] 2 12144b2 [0,-1,0,-132,0] 4 12144b3 [0,-1,0,-1512,-22080] 2 12144b4 [0,-1,0,528,-528] 2
12144c (1 curve)	1	2+ 3+ 11- 23-	2+ 3+  1  5 11- -6  0 -4
Curve Equation t Generators 12144c1 [0,-1,0,-100,439] 1 [-9:23:1]
12144d (1 curve)	1	2+ 3+ 11- 23-	2+ 3+ -2 -1 11- -3  6 -4
Curve Equation t Generators 12144d1 [0,-1,0,-6264,-1512432] 1 [152:1012:1]
12144e (2 curves)	1	2+ 3+ 11- 23-	2+ 3+ -2 -2 11-  2 -6 -2
Curve Equation t Generators 12144e1 [0,-1,0,-19,34] 2 [6:10:1] 12144e2 [0,-1,0,36,144] 2 [0:12:1]
12144f (1 curve)	1	2+ 3+ 11- 23-	2+ 3+ -3  3 11-  2  4 -4
Curve Equation t Generators 12144f1 [0,-1,0,28,-141] 1 [19:83:1]
12144g (2 curves)	0	2+ 3- 11+ 23+	2+ 3- -2 -2 11+  2  2  6
Curve Equation t 12144g1 [0,1,0,-1419,-44784] 2 12144g2 [0,1,0,-29364,-1945044] 2
12144h (1 curve)	0	2+ 3- 11+ 23+	2+ 3- -3  5 11+  2 -4  0
Curve Equation t 12144h1 [0,1,0,14908,455619] 1
12144i (1 curve)	1	2+ 3- 11- 23+	2+ 3-  1  1 11-  5 -7 -6
Curve Equation t Generators 12144i1 [0,1,0,-1880,-6348] 1 [-14:132:1]
12144j (4 curves)	1	2+ 3- 11- 23+	2+ 3- -2  0 11- -2 -2  4
Curve Equation t Generators 12144j1 [0,1,0,121,3036] 2 [4:60:1] 12144j2 [0,1,0,-2524,45356] 4 [-10:264:1] 12144j3 [0,1,0,-7584,-199548] 2 [-42:216:1] 12144j4 [0,1,0,-39784,3041060] 4 [-160:2310:1]
12144k (1 curve)	0	2+ 3- 11- 23-	2+ 3-  3 -1 11- -2  4  8
Curve Equation t 12144k1 [0,1,0,-44,99] 1
12144l (1 curve)	0	2+ 3- 11- 23-	2+ 3-  3  3 11- -2 -4  0
Curve Equation t 12144l1 [0,1,0,-368004,-86049261] 1
12144m (1 curve)	0	2- 3+ 11+ 23+	2- 3+ -1 -1 11+ -2 -8  0
Curve Equation t 12144m1 [0,-1,0,-1606,-38093] 1
12144n (1 curve)	0	2- 3+ 11+ 23+	2- 3+ -1  3 11+  1  3 -2
Curve Equation t 12144n1 [0,-1,0,-990536,379770864] 1
12144o (1 curve)	0	2- 3+ 11+ 23+	2- 3+ -1  3 11+ -2  0 -8
Curve Equation t 12144o1 [0,-1,0,-386,7767] 1
12144p (1 curve)	0	2- 3+ 11+ 23+	2- 3+ -1  5 11+ -5  1  6
Curve Equation t 12144p1 [0,-1,0,-347776,-56004608] 1
12144q (1 curve)	0	2- 3+ 11+ 23+	2- 3+  2 -3 11+  1  6  4
Curve Equation t 12144q1 [0,-1,0,168,-528] 1
12144r (2 curves)	0	2- 3+ 11+ 23+	2- 3+ -4  0 11+ -2  6  4
Curve Equation t 12144r1 [0,-1,0,-165,396] 2 12144r2 [0,-1,0,-1380,-19044] 2
12144s (1 curve)	1	2- 3+ 11+ 23-	2- 3+ -1 -1 11+  1  7  0
Curve Equation t Generators 12144s1 [0,-1,0,-1056,12672] 1 [72:-552:1]
12144t (1 curve)	1	2- 3+ 11+ 23-	2- 3+  2  1 11+  3 -2  0
Curve Equation t Generators 12144t1 [0,-1,0,-192,1152] 1 [8:8:1]
12144u (2 curves)	1	2- 3+ 11+ 23-	2- 3+  2 -2 11+  6  4 -6
Curve Equation t Generators 12144u1 [0,-1,0,-4757,-125040] 2 [1129490:37870443:1000] 12144u2 [0,-1,0,-76172,-8066388] 2 [2511389530:-82122433271:2197000]
12144v (4 curves)	1	2- 3+ 11+ 23-	2- 3+  2 -4 11+ -2 -2  0
Curve Equation t Generators 12144v1 [0,-1,0,-2654992,-2761128512] 2 [32266:5788134:1] 12144v2 [0,-1,0,-49840912,-135372438080] 4 [2245300794:394811992630:68921] 12144v3 [0,-1,0,-797381392,-8666304395840] 2 [20391420748041426:2262082524085092830:526926752533] 12144v4 [0,-1,0,-57275152,-92319267392] 4 [3269235734222814:-325519334307164530:227763307043]
12144w (6 curves)	1	2- 3+ 11+ 23-	2- 3+ -2  0 11+ -2  2  4
Curve Equation t Generators 12144w1 [0,-1,0,496,12288] 2 [-8:88:1] 12144w2 [0,-1,0,-5984,162624] 4 [-16:504:1] 12144w3 [0,-1,0,-22544,-1122432] 2 [-62:182:1] 12144w4 [0,-1,0,-93104,10965504] 8 [226:1190:1] 12144w5 [0,-1,0,-1489664,700307520] 4 [33018:2037087:8] 12144w6 [0,-1,0,-90464,11613888] 4 [26930:180166:125]
12144x (2 curves)	1	2- 3+ 11- 23+	2- 3+ -3  1 11-  5 -3 -2
Curve Equation t Generators 12144x1 [0,-1,0,-73272,6082416] 1 [-294:1458:1] 12144x2 [0,-1,0,-5587752,5085842544] 1 [1362:198:1]
12144y (1 curve)	0	2- 3+ 11- 23-	2- 3+  1  1 11- -6  0  0
Curve Equation t 12144y1 [0,-1,0,-10,-17] 1
12144z (2 curves)	2	2- 3+ 11- 23-	2- 3+ -3  1 11- -7 -3 -8
Curve Equation t Generators 12144z1 [0,-1,0,-2032,-17984] 1 [-38:54:1]&[-24:128:1] 12144z2 [0,-1,0,-76912,8234944] 1 [-278:2838:1]&[-168:4048:1]
12144ba (2 curves)	0	2- 3+ 11- 23-	2- 3+  4 -2 11- -6  0 -6
Curve Equation t 12144ba1 [0,-1,0,75384,9412848] 2 12144ba2 [0,-1,0,-477576,93462768] 2
12144bb (2 curves)	1	2- 3- 11+ 23+	2- 3-  0  2 11+  2  0 -2
Curve Equation t Generators 12144bb1 [0,1,0,-368,39444] 2 [-20:198:1] 12144bb2 [0,1,0,-19808,1058100] 2 [52:414:1]
12144bc (1 curve)	1	2- 3- 11+ 23+	2- 3- -1  3 11+  1  3 -2
Curve Equation t Generators 12144bc1 [0,1,0,-456,-3852] 1 [-12:6:1]
12144bd (4 curves)	1	2- 3- 11+ 23+	2- 3-  2  0 11+ -2 -6  4
Curve Equation t Generators 12144bd1 [0,1,0,-1112,25620] 2 [2541:23590:27] 12144bd2 [0,1,0,-21592,1213460] 4 [380:6930:1] 12144bd3 [0,1,0,-25432,748052] 2 [131236:2355870:343] 12144bd4 [0,1,0,-345432,78028308] 4 [62220:680778:125]
12144be (2 curves)	0	2- 3- 11+ 23-	2- 3-  0  4 11+  6 -2  0
Curve Equation t 12144be1 [0,1,0,-93,306] 2 12144be2 [0,1,0,-228,-936] 2
12144bf (1 curve)	0	2- 3- 11+ 23-	2- 3- -1  3 11+  1 -1 -4
Curve Equation t 12144bf1 [0,1,0,-40496,-2923692] 1
12144bg (1 curve)	0	2- 3- 11+ 23-	2- 3- -2 -1 11+  7 -6  0
Curve Equation t 12144bg1 [0,1,0,183816,-655992108] 1
12144bh (4 curves)	0	2- 3- 11+ 23-	2- 3- -2 -4 11+ -2  6  0
Curve Equation t 12144bh1 [0,1,0,-705464,227828052] 2 12144bh2 [0,1,0,-725944,213877076] 4 12144bh3 [0,1,0,-2757304,-1533905068] 2 12144bh4 [0,1,0,977736,1069124436] 4
12144bi (1 curve)	0	2- 3- 11+ 23-	2- 3-  3  1 11+  3  1  0
Curve Equation t 12144bi1 [0,1,0,-2292664,-1336880812] 1
12144bj (2 curves)	0	2- 3- 11+ 23-	2- 3- -4  0 11+ -2  2 -4
Curve Equation t 12144bj1 [0,1,0,-10205,393414] 2 12144bj2 [0,1,0,-10220,392184] 2
12144bk (2 curves)	0	2- 3- 11- 23+	2- 3-  0  2 11-  2 -8  6
Curve Equation t 12144bk1 [0,1,0,672,4212] 2 12144bk2 [0,1,0,-3168,33396] 2
12144bl (1 curve)	0	2- 3- 11- 23+	2- 3- -3 -1 11- -1  7  6
Curve Equation t 12144bl1 [0,1,0,-2885712,-1880200044] 1
12144bm (1 curve)	1	2- 3- 11- 23-	2- 3-  1 -1 11- -5  3  0
Curve Equation t Generators 12144bm1 [0,1,0,-7480,246356] 1 [44:66:1]
12144bn (1 curve)	1	2- 3- 11- 23-	2- 3- -1  3 11- -2 -4 -4
Curve Equation t Generators 12144bn1 [0,1,0,-166,923] 1 [-1:33:1]
12144bo (1 curve)	1	2- 3- 11- 23-	2- 3-  2 -3 11-  1  2 -4
Curve Equation t Generators 12144bo1 [0,1,0,-50952032,-140310023052] 1 [12922:1165824:1]
12144bp (2 curves)	1	2- 3- 11- 23-	2- 3- -2  2 11- -2  0  6
Curve Equation t Generators 12144bp1 [0,1,0,175651,-3875454] 2 [3910:245916:1] 12144bp2 [0,1,0,-710084,-31864680] 2 [967:13662:1]
12144bq (1 curve)	1	2- 3- 11- 23-	2- 3-  3 -3 11- -2  0 -4
Curve Equation t Generators 12144bq1 [0,1,0,6,3] 1 [11:39:1]
12144br (1 curve)	1	2- 3- 11- 23-	2- 3- -3 -3 11-  1 -3 -4
Curve Equation t Generators 12144br1 [0,1,0,-9472,351284] 1 [50:72:1]

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