Cremona's table of elliptic curves

18720 = 2⁵ · 3² · 5 · 13

Class	r	Atkin-Lehner	Eigenvalues
18720a (2 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  2  4 13+ -4  2
Curve Equation t Generators 18720a1 [0,0,0,27,-172] 2 [16:66:1] 18720a2 [0,0,0,-348,-2272] 2 [-11:15:1]
18720b (2 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+ -4 -4 13+ -2  4
Curve Equation t Generators 18720b1 [0,0,0,27,-972] 2 [19:80:1] 18720b2 [0,0,0,-1323,-17982] 2 [46:136:1]
18720c (2 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5- -2  4 13+  4 -2
Curve Equation t 18720c1 [0,0,0,243,-4644] 2 18720c2 [0,0,0,-3132,-61344] 2
18720d (2 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5-  4 -4 13+  2 -4
Curve Equation t 18720d1 [0,0,0,3,-36] 2 18720d2 [0,0,0,-147,-666] 2
18720e (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  1  3 13+ -3  6
Curve Equation t 18720e1 [0,0,0,-845688,303031888] 1
18720f (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -1  1 13+  5  2
Curve Equation t 18720f1 [0,0,0,-1128,-14992] 1
18720g (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -1 -3 13+ -3 -6
Curve Equation t 18720g1 [0,0,0,-845688,-303031888] 1
18720h (2 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  2 -2 13+  2  2
Curve Equation t 18720h1 [0,0,0,-95313,11305388] 2 18720h2 [0,0,0,-62508,19204832] 2
18720i (1 curve)	1	2+ 3- 5+ 13-	2+ 3- 5+ -3 -3 13-  3 -2
Curve Equation t Generators 18720i1 [0,0,0,42072,-706448] 1 [212:4212:1]
18720j (4 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  4  0 13- -2  8
Curve Equation t Generators 18720j1 [0,0,0,-146433,12204632] 4 [12581:1410500:1] 18720j2 [0,0,0,-1057683,-410068618] 2 [1249:14742:1] 18720j3 [0,0,0,-2047683,1127477882] 2 [100882:11258611:8] 18720j4 [0,0,0,469572,88096448] 2 [-361858:13409019:2744]
18720k (4 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  4 -4 13- -2 -4
Curve Equation t Generators 18720k1 [0,0,0,-1953,-33048] 4 [123:1260:1] 18720k2 [0,0,0,-31203,-2121498] 2 [1634:1295:8] 18720k3 [0,0,0,-3123,11178] 2 [15570:155862:125] 18720k4 [0,0,0,-828,-70848] 2 [61:325:1]
18720l (4 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+ -4  0 13- -2 -8
Curve Equation t Generators 18720l1 [0,0,0,-146433,-12204632] 4 [536:7956:1] 18720l2 [0,0,0,-2047683,-1127477882] 2 [3786:213044:1] 18720l3 [0,0,0,-1057683,410068618] 2 [506:2106:1] 18720l4 [0,0,0,469572,-88096448] 2 [21668:670293:64]
18720m (4 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+ -4  4 13- -2  4
Curve Equation t Generators 18720m1 [0,0,0,-1953,33048] 4 [-12:234:1] 18720m2 [0,0,0,-3123,-11178] 2 [-18:198:1] 18720m3 [0,0,0,-31203,2121498] 2 [138:666:1] 18720m4 [0,0,0,-828,70848] 2 [4:260:1]
18720n (4 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  0  0 13+ -2  4
Curve Equation t Generators 18720n1 [0,0,0,-597,5236] 4 [-15:104:1] 18720n2 [0,0,0,-1947,-26894] 2 [110:1044:1] 18720n3 [0,0,0,-9372,349216] 2 [120:976:1] 18720n4 [0,0,0,573,23254] 2 [5:162:1]
18720o (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5-  1  1 13+  3 -6
Curve Equation t Generators 18720o1 [0,0,0,-4872,235856] 1 [40:324:1]
18720p (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5-  1 -3 13+  3 -6
Curve Equation t Generators 18720p1 [0,0,0,1608,90704] 1 [40:468:1]
18720q (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -1  3 13+  3  6
Curve Equation t Generators 18720q1 [0,0,0,1608,-90704] 1 [596:14580:1]
18720r (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  2  0 13+  0 -6
Curve Equation t Generators 18720r1 [0,0,0,-17697,1091464] 2 [68:450:1] 18720r2 [0,0,0,-298947,62910214] 2 [233:2430:1]
18720s (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5- -2  0 13+  0  6
Curve Equation t Generators 18720s1 [0,0,0,-17697,-1091464] 2 [232:2700:1] 18720s2 [0,0,0,-298947,-62910214] 2 [982:24300:1]
18720t (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5- -2  2 13+  2  2
Curve Equation t Generators 18720t1 [0,0,0,-3897,93636] 2 [27:90:1] 18720t2 [0,0,0,-3852,95904] 2 [18:180:1]
18720u (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  4 -6 13+  6  6
Curve Equation t Generators 18720u1 [0,0,0,-777,8336] 2 [-20:126:1] 18720u2 [0,0,0,-732,9344] 2 [13:45:1]
18720v (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5- -4  6 13+  6 -6
Curve Equation t Generators 18720v1 [0,0,0,-777,-8336] 2 [450:2839:8] 18720v2 [0,0,0,-732,-9344] 2 [45:221:1]
18720w (2 curves)	2	2- 3+ 5+ 13+	2- 3+ 5+ -2 -4 13+ -4 -2
Curve Equation t Generators 18720w1 [0,0,0,27,172] 2 [-3:8:1]&[-1:12:1] 18720w2 [0,0,0,-348,2272] 2 [-19:45:1]&[-18:52:1]
18720x (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  4  4 13+ -2 -4
Curve Equation t 18720x1 [0,0,0,27,972] 2 18720x2 [0,0,0,-1323,17982] 2
18720y (2 curves)	1	2- 3+ 5- 13+	2- 3+ 5-  2 -4 13+  4  2
Curve Equation t Generators 18720y1 [0,0,0,243,4644] 2 [13:100:1] 18720y2 [0,0,0,-3132,61344] 2 [-2:260:1]
18720z (2 curves)	1	2- 3+ 5- 13+	2- 3+ 5- -4  4 13+  2  4
Curve Equation t Generators 18720z1 [0,0,0,3,36] 2 [0:6:1] 18720z2 [0,0,0,-147,666] 2 [10:14:1]
18720ba (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  1 -1 13+  5 -2
Curve Equation t Generators 18720ba1 [0,0,0,-1128,14992] 1 [32:108:1]
18720bb (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  1  3 13+  5 -2
Curve Equation t Generators 18720bb1 [0,0,0,-403608,-98696432] 1 [285824:4110588:343]
18720bc (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -1 -3 13+  5  2
Curve Equation t Generators 18720bc1 [0,0,0,-403608,98696432] 1 [364:108:1]
18720bd (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+  2  0 13+ -4  2
Curve Equation t Generators 18720bd1 [0,0,0,87,-88] 2 [4:18:1] 18720bd2 [0,0,0,-363,-718] 2 [34:162:1]
18720be (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -2  0 13+ -4 -2
Curve Equation t Generators 18720be1 [0,0,0,87,88] 2 [8:36:1] 18720be2 [0,0,0,-363,718] 2 [-7:54:1]
18720bf (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -2  2 13+  2 -2
Curve Equation t Generators 18720bf1 [0,0,0,-95313,-11305388] 2 [911:25650:1] 18720bf2 [0,0,0,-62508,-19204832] 2 [23367:647387:27]
18720bg (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+  2 -4 13-  0 -6
Curve Equation t 18720bg1 [0,0,0,-633,-10168] 2 18720bg2 [0,0,0,-11883,-498418] 2
18720bh (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+ -2  4 13-  0  6
Curve Equation t 18720bh1 [0,0,0,-633,10168] 2 18720bh2 [0,0,0,-11883,498418] 2
18720bi (1 curve)	0	2- 3- 5+ 13-	2- 3- 5+  3  3 13-  3  2
Curve Equation t 18720bi1 [0,0,0,42072,706448] 1
18720bj (4 curves)	0	2- 3- 5- 13+	2- 3- 5-  0  0 13+ -2 -4
Curve Equation t 18720bj1 [0,0,0,-597,-5236] 4 18720bj2 [0,0,0,-9372,-349216] 2 18720bj3 [0,0,0,-1947,26894] 2 18720bj4 [0,0,0,573,-23254] 2
18720bk (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -1 -1 13+  3  6
Curve Equation t 18720bk1 [0,0,0,-4872,-235856] 1
18720bl (2 curves)	0	2- 3- 5- 13+	2- 3- 5-  2 -2 13+  2 -2
Curve Equation t 18720bl1 [0,0,0,-3897,-93636] 2 18720bl2 [0,0,0,-3852,-95904] 2
18720bm (4 curves)	0	2- 3- 5- 13+	2- 3- 5-  4 -4 13+ -2 -4
Curve Equation t 18720bm1 [0,0,0,-777,5704] 4 18720bm2 [0,0,0,-4827,-124706] 2 18720bm3 [0,0,0,-11307,462706] 2 18720bm4 [0,0,0,2148,38464] 2
18720bn (4 curves)	0	2- 3- 5- 13+	2- 3- 5- -4  4 13+ -2  4
Curve Equation t 18720bn1 [0,0,0,-777,-5704] 4 18720bn2 [0,0,0,-11307,-462706] 2 18720bn3 [0,0,0,-4827,124706] 2 18720bn4 [0,0,0,2148,-38464] 2
18720bo (4 curves)	1	2- 3- 5- 13-	2- 3- 5-  0  4 13-  2  4
Curve Equation t Generators 18720bo1 [0,0,0,-14414817,-21063537376] 4 [1449207749:242849082580:50653] 18720bo2 [0,0,0,-230632572,-1348121630464] 2 [114442:38354940:1] 18720bo3 [0,0,0,-15403467,-18008806606] 2 [5717409407262790:-957673122930847037:199791235736] 18720bo4 [0,0,0,-13430667,-24063029746] 4 [2107325080205216890:-121472831365829035677:342911807559784]
18720bp (4 curves)	1	2- 3- 5- 13-	2- 3- 5-  0  4 13- -6 -4
Curve Equation t Generators 18720bp1 [0,0,0,-417,-2576] 4 [33:140:1] 18720bp2 [0,0,0,-6267,-190946] 2 [150:1498:1] 18720bp3 [0,0,0,-2172,36736] 4 [-43:225:1] 18720bp4 [0,0,0,933,-15806] 2 [210:1309:8]
18720bq (4 curves)	1	2- 3- 5- 13-	2- 3- 5-  0 -4 13-  2 -4
Curve Equation t Generators 18720bq1 [0,0,0,-14414817,21063537376] 4 [3260:93366:1] 18720bq2 [0,0,0,-15403467,18008806606] 2 [93090:2071342:27] 18720bq3 [0,0,0,-230632572,1348121630464] 4 [5093:552825:1] 18720bq4 [0,0,0,-13430667,24063029746] 2 [21113750:747866574:6859]
18720br (4 curves)	1	2- 3- 5- 13-	2- 3- 5-  0 -4 13- -6  4
Curve Equation t Generators 18720br1 [0,0,0,-417,2576] 4 [-20:54:1] 18720br2 [0,0,0,-2172,-36736] 2 [-22:20:1] 18720br3 [0,0,0,-6267,190946] 2 [370:6966:1] 18720br4 [0,0,0,933,15806] 4 [-10:74:1]
18720bs (1 curve)	1	2- 3- 5- 13-	2- 3- 5-  5 -1 13- -3 -6
Curve Equation t Generators 18720bs1 [0,0,0,168,5744] 1 [28:180:1]
18720bt (1 curve)	1	2- 3- 5- 13-	2- 3- 5- -5  1 13- -3  6
Curve Equation t Generators 18720bt1 [0,0,0,168,-5744] 1 [32:180:1]

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