Cremona's table of elliptic curves

13872 = 2⁴ · 3 · 17²

Class	r	Atkin-Lehner	Eigenvalues
13872a (1 curve)	1	2+ 3+ 17+	2+ 3+  0 -3  2 -3 17+ -1
Curve Equation t Generators 13872a1 [0,-1,0,-28,-80] 1 [8:12:1]
13872b (6 curves)	1	2+ 3+ 17+	2+ 3+  2  0  4 -2 17+  4
Curve Equation t Generators 13872b1 [0,-1,0,193,-1338] 2 [7654790:43353136:274625] 13872b2 [0,-1,0,-1252,-12320] 4 [-2220:7904:125] 13872b3 [0,-1,0,-18592,-969488] 2 [-66705105:2141464:857375] 13872b4 [0,-1,0,-7032,218880] 4 [32:160:1] 13872b5 [0,-1,0,-111072,14285088] 2 [261:1734:1] 13872b6 [0,-1,0,4528,856992] 2 [-62:578:1]
13872c (1 curve)	1	2+ 3+ 17+	2+ 3+ -3  0 -1  3 17+ -1
Curve Equation t Generators 13872c1 [0,-1,0,147583,8444109] 1 [80436:4426613:27]
13872d (1 curve)	0	2+ 3+ 17-	2+ 3+  0  1 -4 -5 17- -5
Curve Equation t 13872d1 [0,-1,0,-106448,-13334064] 1
13872e (1 curve)	0	2+ 3+ 17-	2+ 3+  0  1  6  5 17-  5
Curve Equation t 13872e1 [0,-1,0,-963,26406] 1
13872f (1 curve)	0	2+ 3+ 17-	2+ 3+  1 -4 -3  2 17-  0
Curve Equation t 13872f1 [0,-1,0,-4720,-123296] 1
13872g (1 curve)	0	2+ 3+ 17-	2+ 3+  4  5  0 -1 17-  3
Curve Equation t 13872g1 [0,-1,0,11464,18030528] 1
13872h (1 curve)	0	2+ 3+ 17-	2+ 3+ -4  1  2 -3 17-  5
Curve Equation t 13872h1 [0,-1,0,-3275,78426] 1
13872i (1 curve)	0	2+ 3- 17+	2+ 3-  0 -1  4 -5 17+ -5
Curve Equation t 13872i1 [0,1,0,-368,-2844] 1
13872j (1 curve)	0	2+ 3- 17+	2+ 3-  0 -1 -6  5 17+  5
Curve Equation t 13872j1 [0,1,0,-278403,128062440] 1
13872k (2 curves)	0	2+ 3- 17+	2+ 3-  0  2  0  2 17+ -4
Curve Equation t 13872k1 [0,1,0,-13968,623844] 2 13872k2 [0,1,0,-2408,1636500] 2
13872l (1 curve)	0	2+ 3- 17+	2+ 3- -1  4  3  2 17+  0
Curve Equation t 13872l1 [0,1,0,-1364176,-613938124] 1
13872m (4 curves)	0	2+ 3- 17+	2+ 3- -2 -4  4  6 17+ -4
Curve Equation t 13872m1 [0,1,0,-15124,-719428] 2 13872m2 [0,1,0,-20904,-125244] 4 13872m3 [0,1,0,-217424,38785716] 4 13872m4 [0,1,0,83136,-915948] 2
13872n (1 curve)	0	2+ 3- 17+	2+ 3-  3 -4  1 -5 17+  7
Curve Equation t 13872n1 [0,1,0,-5009,-280437] 1
13872o (1 curve)	0	2+ 3- 17+	2+ 3-  4 -1 -2 -3 17+  5
Curve Equation t 13872o1 [0,1,0,-11,12] 1
13872p (1 curve)	2	2+ 3- 17+	2+ 3- -4 -5  0 -1 17+  3
Curve Equation t Generators 13872p1 [0,1,0,40,3684] 1 [-14:24:1]&[-8:54:1]
13872q (1 curve)	1	2+ 3- 17-	2+ 3-  0  3 -2 -3 17- -1
Curve Equation t Generators 13872q1 [0,1,0,-8188,-441988] 1 [674:17340:1]
13872r (2 curves)	0	2- 3+ 17+	2- 3+  0 -4  4  2 17+ -4
Curve Equation t 13872r1 [0,-1,0,-106448,-9325056] 2 13872r2 [0,-1,0,286592,-62464064] 2
13872s (1 curve)	0	2- 3+ 17+	2- 3+  1  2  3  3 17+  3
Curve Equation t 13872s1 [0,-1,0,-45,-2511] 1
13872t (1 curve)	0	2- 3+ 17+	2- 3+  1  4  3  3 17+ -1
Curve Equation t 13872t1 [0,-1,0,-468565,123784009] 1
13872u (1 curve)	0	2- 3+ 17+	2- 3+  1  4 -3  6 17+ -4
Curve Equation t 13872u1 [0,-1,0,40,1008] 1
13872v (1 curve)	0	2- 3+ 17+	2- 3+ -2  1  0 -3 17+ -1
Curve Equation t 13872v1 [0,-1,0,-249,-1440] 1
13872w (4 curves)	0	2- 3+ 17+	2- 3+ -2  2  0 -6 17+  0
Curve Equation t 13872w1 [0,-1,0,-853224,-285474960] 2 13872w2 [0,-1,0,-13430504,-18940096656] 2 13872w3 [0,-1,0,-96754984,366349783408] 2 13872w4 [0,-1,0,-97541064,360095102064] 2
13872x (2 curves)	0	2- 3+ 17+	2- 3+  3  2 -5 -1 17+  5
Curve Equation t 13872x1 [0,-1,0,91,141] 1 13872x2 [0,-1,0,-13509,608877] 1
13872y (2 curves)	0	2- 3+ 17+	2- 3+  4 -2  0 -6 17+ -4
Curve Equation t 13872y1 [0,-1,0,-11656,-303632] 2 13872y2 [0,-1,0,34584,-2153232] 2
13872z (2 curves)	1	2- 3+ 17-	2- 3+  0  1  0 -1 17-  7
Curve Equation t Generators 13872z1 [0,-1,0,90072,-2486160] 1 [876:18496:27] 13872z2 [0,-1,0,-1089048,493687536] 1 [-28284:593920:27]
13872ba (1 curve)	1	2- 3+ 17-	2- 3+ -2 -3  4  1 17- -7
Curve Equation t Generators 13872ba1 [0,-1,0,6551,-147572] 1 [9624:185786:27]
13872bb (2 curves)	1	2- 3+ 17-	2- 3+ -3  4 -3  2 17- -8
Curve Equation t Generators 13872bb1 [0,-1,0,-7416992,7820031744] 1 [4528:258944:1] 13872bb2 [0,-1,0,-601693472,5681021020416] 1 [14464:62384:1]
13872bc (1 curve)	1	2- 3+ 17-	2- 3+  4 -3  4 -5 17- -1
Curve Equation t Generators 13872bc1 [0,-1,0,-96,-3072] 1 [32:160:1]
13872bd (2 curves)	1	2- 3- 17+	2- 3-  0 -1  0 -1 17+  7
Curve Equation t Generators 13872bd1 [0,1,0,312,-396] 1 [30:192:1] 13872bd2 [0,1,0,-3768,99156] 1 [1218:4096:27]
13872be (4 curves)	1	2- 3- 17+	2- 3-  0  2  0  2 17+  4
Curve Equation t Generators 13872be1 [0,1,0,-1181528,-494537196] 2 [-620:258:1] 13872be2 [0,1,0,-996568,-654416620] 2 [1286:13872:1] 13872be3 [0,1,0,-3470408,1880154996] 2 [624404:25097982:1331] 13872be4 [0,1,0,8367032,11932509044] 2 [-355726:15869568:343]
13872bf (2 curves)	1	2- 3- 17+	2- 3-  0  4 -4  2 17+ -4
Curve Equation t Generators 13872bf1 [0,1,0,-368,-2028] 2 [-14:24:1] 13872bf2 [0,1,0,992,-12364] 2 [20:126:1]
13872bg (1 curve)	1	2- 3- 17+	2- 3- -1  0  5 -5 17+ -1
Curve Equation t Generators 13872bg1 [0,1,0,-1541,35151] 1 [147:1734:1]
13872bh (1 curve)	1	2- 3- 17+	2- 3- -1 -2 -3  3 17+  3
Curve Equation t Generators 13872bh1 [0,1,0,-13101,-12414969] 1 [963:29478:1]
13872bi (6 curves)	1	2- 3- 17+	2- 3-  2  0 -4 -2 17+ -4
Curve Equation t Generators 13872bi1 [0,1,0,-157312,-22325068] 2 [572:8670:1] 13872bi2 [0,1,0,-527232,121351860] 4 [-534:15840:1] 13872bi3 [0,1,0,-8018112,8735863860] 4 [4668:270270:1] 13872bi4 [0,1,0,1044928,708081972] 4 [-9564:1499043:64] 13872bi5 [0,1,0,-128288352,559236806388] 2 [-958:825384:1] 13872bi6 [0,1,0,-7601952,9683543412] 2 [10195484:-599123910:2197]
13872bj (4 curves)	1	2- 3- 17+	2- 3-  2 -2  0 -6 17+  0
Curve Equation t Generators 13872bj1 [0,1,0,-2952,-59148] 2 [-36:42:1] 13872bj2 [0,1,0,-46472,-3871500] 2 [708:17850:1] 13872bj3 [0,1,0,-334792,74449268] 2 [62:7344:1] 13872bj4 [0,1,0,-337512,73175220] 2 [60:7290:1]
13872bk (1 curve)	1	2- 3- 17+	2- 3-  2  3 -4  1 17+ -7
Curve Equation t Generators 13872bk1 [0,1,0,23,-22] 1 [2:6:1]
13872bl (2 curves)	1	2- 3- 17+	2- 3-  3 -4  3  2 17+ -8
Curve Equation t Generators 13872bl1 [0,1,0,-25664,1582644] 1 [10:1152:1] 13872bl2 [0,1,0,-2081984,1155589428] 1 [826:336:1]
13872bm (2 curves)	1	2- 3- 17+	2- 3- -3 -2  5 -1 17+  5
Curve Equation t Generators 13872bm1 [0,1,0,26203,850131] 1 [-373302:11589767:19683] 13872bm2 [0,1,0,-3904197,2967987699] 1 [1830:44217:1]
13872bn (2 curves)	1	2- 3- 17+	2- 3- -3 -4 -3 -1 17+  1
Curve Equation t Generators 13872bn1 [0,1,0,3083,318371] 1 [62:867:1] 13872bn2 [0,1,0,-274357,55251491] 1 [8202:4913:27]
13872bo (1 curve)	1	2- 3- 17+	2- 3- -4  3 -4 -5 17+ -1
Curve Equation t Generators 13872bo1 [0,1,0,-27840,-15259596] 1 [8570:793248:1]
13872bp (1 curve)	0	2- 3- 17-	2- 3- -1 -4  3  6 17- -4
Curve Equation t 13872bp1 [0,1,0,11464,5021268] 1
13872bq (1 curve)	0	2- 3- 17-	2- 3-  2 -1  0 -3 17- -1
Curve Equation t 13872bq1 [0,1,0,-72057,-7506882] 1

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