Cremona's table of elliptic curves

53856 = 2⁵ · 3² · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
53856a (2 curves)	1	2+ 3+ 11+ 17+	2+ 3+ -4 -2 11+  6 17+  2
Curve Equation t Generators 53856a1 [0,0,0,-2997,36180] 2 [48:54:1] 53856a2 [0,0,0,-42012,3313440] 2 [76:748:1]
53856b (2 curves)	0	2+ 3+ 11+ 17-	2+ 3+  4  2 11+  6 17- -2
Curve Equation t 53856b1 [0,0,0,-333,1340] 2 53856b2 [0,0,0,-4668,122720] 2
53856c (2 curves)	0	2+ 3+ 11- 17+	2+ 3+  0  0 11-  4 17+ -4
Curve Equation t 53856c1 [0,0,0,-405,756] 2 53856c2 [0,0,0,-4995,135702] 2
53856d (2 curves)	1	2+ 3+ 11- 17-	2+ 3+  0  0 11-  4 17-  4
Curve Equation t Generators 53856d1 [0,0,0,-45,28] 2 [-4:12:1] 53856d2 [0,0,0,-555,5026] 2 [30:124:1]
53856e (2 curves)	0	2+ 3- 11+ 17+	2+ 3-  0  2 11+  4 17+  0
Curve Equation t 53856e1 [0,0,0,-6285,112556] 2 53856e2 [0,0,0,19725,804422] 2
53856f (4 curves)	0	2+ 3- 11+ 17+	2+ 3-  2  0 11+  2 17+ -4
Curve Equation t 53856f1 [0,0,0,-3369,75040] 4 53856f2 [0,0,0,-1884,141568] 2 53856f3 [0,0,0,-4899,70] 2 53856f4 [0,0,0,-53859,4811002] 2
53856g (2 curves)	2	2+ 3- 11+ 17+	2+ 3- -2  2 11+ -4 17+ -6
Curve Equation t Generators 53856g1 [0,0,0,-201,416] 2 [-11:36:1]&[-5:36:1] 53856g2 [0,0,0,-1731,-27430] 2 [-22:2:1]&[106:990:1]
53856h (2 curves)	0	2+ 3- 11+ 17+	2+ 3- -2 -2 11+  4 17+  2
Curve Equation t 53856h1 [0,0,0,-8121,-281536] 2 53856h2 [0,0,0,-9651,-168010] 2
53856i (2 curves)	1	2+ 3- 11+ 17-	2+ 3-  0 -2 11+  0 17-  4
Curve Equation t Generators 53856i1 [0,0,0,-10245,351124] 2 [-112:306:1] 53856i2 [0,0,0,15765,1844098] 2 [-78:374:1]
53856j (4 curves)	1	2+ 3- 11+ 17-	2+ 3-  2  0 11+  2 17-  4
Curve Equation t Generators 53856j1 [0,0,0,-669,-3220] 4 [220:3240:1] 53856j2 [0,0,0,2301,-24010] 2 [13:90:1] 53856j3 [0,0,0,-5259,144578] 2 [6042:86120:27] 53856j4 [0,0,0,-9084,-333088] 2 [117128:1583145:512]
53856k (1 curve)	1	2+ 3- 11+ 17-	2+ 3- -2 -1 11+ -6 17- -2
Curve Equation t Generators 53856k1 [0,0,0,24,1136] 1 [4:-36:1]
53856l (2 curves)	1	2+ 3- 11+ 17-	2+ 3- -2 -4 11+  0 17-  4
Curve Equation t Generators 53856l1 [0,0,0,-15141,-717100] 2 [96776:912159:512] 53856l2 [0,0,0,-15051,-726046] 2 [670:17028:1]
53856m (4 curves)	1	2+ 3- 11- 17+	2+ 3-  2  0 11-  2 17+  4
Curve Equation t Generators 53856m1 [0,0,0,-3369,-75040] 4 [20260:353925:64] 53856m2 [0,0,0,-1884,-141568] 2 [44391412:-779474025:140608] 53856m3 [0,0,0,-4899,-70] 2 [1258:44550:1] 53856m4 [0,0,0,-53859,-4811002] 2 [-4599339550:5937316:34328125]
53856n (2 curves)	1	2+ 3- 11- 17+	2+ 3- -2  2 11-  4 17+ -2
Curve Equation t Generators 53856n1 [0,0,0,-8121,281536] 2 [-100:306:1] 53856n2 [0,0,0,-9651,168010] 2 [-102:302:1]
53856o (2 curves)	1	2+ 3- 11- 17+	2+ 3- -2 -2 11- -4 17+  6
Curve Equation t Generators 53856o1 [0,0,0,-201,-416] 2 [-4:18:1] 53856o2 [0,0,0,-1731,27430] 2 [-7:198:1]
53856p (2 curves)	0	2- 3+ 11+ 17+	2- 3+  0  0 11+  4 17+  4
Curve Equation t 53856p1 [0,0,0,-405,-756] 2 53856p2 [0,0,0,-4995,-135702] 2
53856q (2 curves)	1	2- 3+ 11+ 17-	2- 3+  0  0 11+  4 17- -4
Curve Equation t Generators 53856q1 [0,0,0,-45,-28] 2 [-1:4:1] 53856q2 [0,0,0,-555,-5026] 2 [118:1254:1]
53856r (2 curves)	1	2- 3+ 11- 17+	2- 3+ -4  2 11-  6 17+ -2
Curve Equation t Generators 53856r1 [0,0,0,-2997,-36180] 2 [303:5184:1] 53856r2 [0,0,0,-42012,-3313440] 2 [366:5508:1]
53856s (2 curves)	0	2- 3+ 11- 17-	2- 3+  4 -2 11-  6 17-  2
Curve Equation t 53856s1 [0,0,0,-333,-1340] 2 53856s2 [0,0,0,-4668,-122720] 2
53856t (2 curves)	1	2- 3- 11+ 17+	2- 3-  0 -4 11+  6 17+ -6
Curve Equation t Generators 53856t1 [0,0,0,-345,2248] 2 [-9:68:1] 53856t2 [0,0,0,420,10816] 2 [2:-108:1]
53856u (1 curve)	1	2- 3- 11+ 17+	2- 3-  2 -5 11+ -2 17+ -2
Curve Equation t Generators 53856u1 [0,0,0,-3864,-94448] 1 [464:9900:1]
53856v (2 curves)	1	2- 3- 11+ 17+	2- 3- -4  4 11+ -2 17+ -2
Curve Equation t Generators 53856v1 [0,0,0,-2583417,1598055640] 2 [326207:-393588:343] 53856v2 [0,0,0,-2362332,1882813120] 2 [1394:36036:1]
53856w (2 curves)	0	2- 3- 11+ 17-	2- 3-  2 -2 11+  4 17- -2
Curve Equation t 53856w1 [0,0,0,-30369,1837168] 2 53856w2 [0,0,0,-472539,125025730] 2
53856x (2 curves)	0	2- 3- 11- 17+	2- 3-  0 -2 11-  4 17+  0
Curve Equation t 53856x1 [0,0,0,-6285,-112556] 2 53856x2 [0,0,0,19725,-804422] 2
53856y (2 curves)	0	2- 3- 11- 17+	2- 3-  0  4 11-  6 17+  6
Curve Equation t 53856y1 [0,0,0,-345,-2248] 2 53856y2 [0,0,0,420,-10816] 2
53856z (1 curve)	0	2- 3- 11- 17+	2- 3-  2  5 11- -2 17+  2
Curve Equation t 53856z1 [0,0,0,-3864,94448] 1
53856ba (2 curves)	0	2- 3- 11- 17+	2- 3- -4 -4 11- -2 17+  2
Curve Equation t 53856ba1 [0,0,0,-2583417,-1598055640] 2 53856ba2 [0,0,0,-2362332,-1882813120] 2
53856bb (2 curves)	1	2- 3- 11- 17-	2- 3-  0  2 11-  0 17- -4
Curve Equation t Generators 53856bb1 [0,0,0,-10245,-351124] 2 [-430:1683:8] 53856bb2 [0,0,0,15765,-1844098] 2 [214:3366:1]
53856bc (4 curves)	1	2- 3- 11- 17-	2- 3-  2  0 11-  2 17- -4
Curve Equation t Generators 53856bc1 [0,0,0,-669,3220] 4 [-27:40:1] 53856bc2 [0,0,0,2301,24010] 2 [-540:4045:64] 53856bc3 [0,0,0,-5259,-144578] 2 [86:198:1] 53856bc4 [0,0,0,-9084,333088] 2 [-106:324:1]
53856bd (2 curves)	1	2- 3- 11- 17-	2- 3-  2  2 11-  4 17-  2
Curve Equation t Generators 53856bd1 [0,0,0,-30369,-1837168] 2 [-958:2295:8] 53856bd2 [0,0,0,-472539,-125025730] 2 [2902:151470:1]
53856be (1 curve)	1	2- 3- 11- 17-	2- 3- -2  1 11- -6 17-  2
Curve Equation t Generators 53856be1 [0,0,0,24,-1136] 1 [32:180:1]
53856bf (2 curves)	1	2- 3- 11- 17-	2- 3- -2  4 11-  0 17- -4
Curve Equation t Generators 53856bf1 [0,0,0,-15141,717100] 2 [53:252:1] 53856bf2 [0,0,0,-15051,726046] 2 [45:374:1]

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