Cremona's table of elliptic curves

106800 = 2⁴ · 3 · 5² · 89

Class	r	Atkin-Lehner	Eigenvalues
106800a (2 curves)	1	2+ 3+ 5+ 89+	2+ 3+ 5+  2  0  2  2  2
Curve Equation t Generators 106800a1 [0,-1,0,-7008,226512] 2 [72:-300:1] 106800a2 [0,-1,0,-12008,-133488] 2 [-14:178:1]
106800b (4 curves)	0	2+ 3+ 5+ 89-	2+ 3+ 5+  0  4 -2  6  4
Curve Equation t 106800b1 [0,-1,0,-93383,-10950738] 2 106800b2 [0,-1,0,-103508,-8419488] 4 106800b3 [0,-1,0,296992,-58081488] 2 106800b4 [0,-1,0,-666008,203080512] 4
106800c (1 curve)	0	2+ 3+ 5+ 89-	2+ 3+ 5+  4  6  6 -6 -8
Curve Equation t 106800c1 [0,-1,0,-15208,-721088] 1
106800d (1 curve)	0	2+ 3+ 5- 89+	2+ 3+ 5- -2 -2  4  0  6
Curve Equation t 106800d1 [0,-1,0,-83,-738] 1
106800e (1 curve)	0	2+ 3+ 5- 89+	2+ 3+ 5-  4  2  2  6  4
Curve Equation t 106800e1 [0,-1,0,11792,3784912] 1
106800f (1 curve)	1	2+ 3+ 5- 89-	2+ 3+ 5-  2  2 -4  0 -6
Curve Equation t Generators 106800f1 [0,-1,0,-708,24912] 1 [16:132:1]
106800g (1 curve)	1	2+ 3+ 5- 89-	2+ 3+ 5- -2  2  0 -2  0
Curve Equation t Generators 106800g1 [0,-1,0,-195833,37592037] 1 [76555316:6057490357:12167]
106800h (1 curve)	1	2+ 3+ 5- 89-	2+ 3+ 5-  4  0  4  0 -4
Curve Equation t Generators 106800h1 [0,-1,0,367,-963] 1 [52:395:1]
106800i (2 curves)	1	2+ 3+ 5- 89-	2+ 3+ 5-  4  4 -6 -4 -4
Curve Equation t Generators 106800i1 [0,-1,0,-4083,99162] 2 [7044:63063:64] 106800i2 [0,-1,0,-9708,-227088] 2 [417:8250:1]
106800j (2 curves)	1	2+ 3+ 5- 89-	2+ 3+ 5- -4 -4 -2  4  0
Curve Equation t Generators 106800j1 [0,-1,0,-98563,11943022] 2 [1706:6075:8] 106800j2 [0,-1,0,-100788,11377872] 2 [137:350:1]
106800k (1 curve)	0	2+ 3- 5+ 89+	2+ 3- 5+  2 -2 -4  0  6
Curve Equation t 106800k1 [0,1,0,-2083,-96412] 1
106800l (2 curves)	0	2+ 3- 5+ 89+	2+ 3- 5+  2  4  2  6  6
Curve Equation t 106800l1 [0,1,0,-5074408,4373973188] 2 106800l2 [0,1,0,-8199408,-1657276812] 2
106800m (1 curve)	2	2+ 3- 5+ 89+	2+ 3- 5+ -4  2 -2 -6  4
Curve Equation t Generators 106800m1 [0,1,0,472,30468] 1 [-26:36:1]&[-8:162:1]
106800n (1 curve)	0	2+ 3- 5+ 89+	2+ 3- 5+ -4  4  6  4  6
Curve Equation t 106800n1 [0,1,0,-34033,-2510437] 1
106800o (1 curve)	1	2+ 3- 5+ 89-	2+ 3- 5+  2  2  0  2  0
Curve Equation t Generators 106800o1 [0,1,0,-7833,297603] 1 [-66:729:1]
106800p (1 curve)	1	2+ 3- 5+ 89-	2+ 3- 5+ -2  2  4  0 -6
Curve Equation t Generators 106800p1 [0,1,0,-28,188] 1 [2:12:1]
106800q (1 curve)	1	2+ 3- 5+ 89-	2+ 3- 5+ -2 -2 -2 -8  8
Curve Equation t Generators 106800q1 [0,1,0,-33,1563] 1 [-86:225:8]
106800r (2 curves)	1	2+ 3- 5+ 89-	2+ 3- 5+ -2 -4 -4  2  0
Curve Equation t Generators 106800r1 [0,1,0,-5008,-10012] 2 [-22:300:1] 106800r2 [0,1,0,19992,-60012] 2 [92:1602:1]
106800s (4 curves)	1	2+ 3- 5+ 89-	2+ 3- 5+  4  4 -2 -2 -4
Curve Equation t Generators 106800s1 [0,1,0,-60108,-5692212] 2 [1083:34650:1] 106800s2 [0,1,0,-60608,-5593212] 4 [-158:252:1] 106800s3 [0,1,0,20392,-19363212] 2 [292:3402:1] 106800s4 [0,1,0,-149608,14520788] 2 [-406:2916:1]
106800t (1 curve)	1	2+ 3- 5+ 89-	2+ 3- 5+ -4  0 -4  0 -4
Curve Equation t Generators 106800t1 [0,1,0,9167,-102037] 1 [14:171:1]
106800u (2 curves)	0	2+ 3- 5- 89-	2+ 3- 5-  4 -4  2 -4  0
Curve Equation t 106800u1 [0,1,0,-2464083,1487949588] 2 106800u2 [0,1,0,-2519708,1417194588] 2
106800v (2 curves)	0	2+ 3- 5- 89-	2+ 3- 5- -4  4  6  4 -4
Curve Equation t 106800v1 [0,1,0,-163,728] 2 106800v2 [0,1,0,-388,-1972] 2
106800w (1 curve)	0	2+ 3- 5- 89-	2+ 3- 5- -4  6 -6  6 -8
Curve Equation t 106800w1 [0,1,0,-608,-6012] 1
106800x (2 curves)	0	2- 3+ 5+ 89+	2- 3+ 5+  0  0  0 -2  6
Curve Equation t 106800x1 [0,-1,0,-57408,-5234688] 2 106800x2 [0,-1,0,-17408,-12434688] 2
106800y (1 curve)	0	2- 3+ 5+ 89+	2- 3+ 5+  0  0 -6  4  6
Curve Equation t 106800y1 [0,-1,0,7,12] 1
106800z (2 curves)	0	2- 3+ 5+ 89+	2- 3+ 5+  0  4  4 -2  4
Curve Equation t 106800z1 [0,-1,0,-2633,30012] 2 106800z2 [0,-1,0,8492,208012] 2
106800ba (2 curves)	0	2- 3+ 5+ 89+	2- 3+ 5+ -2  0  6  2 -6
Curve Equation t 106800ba1 [0,-1,0,-6002008,-3986217488] 2 106800ba2 [0,-1,0,-87922008,-317248297488] 2
106800bb (1 curve)	0	2- 3+ 5+ 89+	2- 3+ 5+  3 -5 -2 -2  4
Curve Equation t 106800bb1 [0,-1,0,-1328,-26688] 1
106800bc (2 curves)	0	2- 3+ 5+ 89+	2- 3+ 5+ -3  3 -6 -2  0
Curve Equation t 106800bc1 [0,-1,0,347552,-188741888] 1 106800bc2 [0,-1,0,-34650208,79460998912] 1
106800bd (1 curve)	0	2- 3+ 5+ 89+	2- 3+ 5+  4  0  0 -4  0
Curve Equation t 106800bd1 [0,-1,0,-213,-1143] 1
106800be (1 curve)	1	2- 3+ 5+ 89-	2- 3+ 5+  1 -4  1 -8  5
Curve Equation t Generators 106800be1 [0,-1,0,1667,-370463] 1 [81:538:1]
106800bf (1 curve)	1	2- 3+ 5+ 89-	2- 3+ 5+ -2 -2 -6 -4  4
Curve Equation t Generators 106800bf1 [0,-1,0,-176533,-50118563] 1 [653494848:32101203925:262144]
106800bg (2 curves)	1	2- 3+ 5+ 89-	2- 3+ 5+ -2  4  0  2  4
Curve Equation t Generators 106800bg1 [0,-1,0,-5608,-134288] 2 [-38:150:1] 106800bg2 [0,-1,0,10392,-774288] 2 [146:1958:1]
106800bh (1 curve)	1	2- 3+ 5+ 89-	2- 3+ 5+  4  0  6  4 -6
Curve Equation t Generators 106800bh1 [0,-1,0,1467,8937] 1 [1:102:1]
106800bi (1 curve)	1	2- 3+ 5+ 89-	2- 3+ 5+  4  2 -2 -2 -4
Curve Equation t Generators 106800bi1 [0,-1,0,2552,51952] 1 [596:14592:1]
106800bj (4 curves)	1	2- 3+ 5+ 89-	2- 3+ 5+  4 -4 -2 -2 -4
Curve Equation t Generators 106800bj1 [0,-1,0,-340008,71398512] 2 [612:9600:1] 106800bj2 [0,-1,0,-5340008,4751398512] 4 [1693:23674:1] 106800bj3 [0,-1,0,-5240008,4937798512] 2 [-438:84550:1] 106800bj4 [0,-1,0,-85440008,304004998512] 2 [1840699:-1280182:343]
106800bk (2 curves)	1	2- 3+ 5- 89+	2- 3+ 5-  0 -2 -2 -2 -2
Curve Equation t Generators 106800bk1 [0,-1,0,232,-4368] 2 [13:26:1] 106800bk2 [0,-1,0,-2968,-55568] 2 [-38:30:1]
106800bl (1 curve)	1	2- 3+ 5- 89+	2- 3+ 5- -1 -1 -2  2 -8
Curve Equation t Generators 106800bl1 [0,-1,0,14792,28912] 1 [292:5400:1]
106800bm (1 curve)	1	2- 3+ 5- 89+	2- 3+ 5-  2 -6  4  6  4
Curve Equation t Generators 106800bm1 [0,-1,0,667,-30963] 1 [76:673:1]
106800bn (2 curves)	1	2- 3+ 5- 89+	2- 3+ 5- -2  6 -4  6 -2
Curve Equation t Generators 106800bn1 [0,-1,0,667,636537] 1 [-83:50:1] 106800bn2 [0,-1,0,-539333,152646537] 1 [-839:3722:1]
106800bo (1 curve)	0	2- 3+ 5- 89-	2- 3+ 5- -2 -2  4  6 -6
Curve Equation t 106800bo1 [0,-1,0,-533,6237] 1
106800bp (1 curve)	0	2- 3+ 5- 89-	2- 3+ 5- -3 -4  3  0 -5
Curve Equation t 106800bp1 [0,-1,0,-120915333,-535459338963] 1
106800bq (1 curve)	1	2- 3- 5+ 89+	2- 3- 5+  1 -1  2 -2 -8
Curve Equation t Generators 106800bq1 [0,1,0,592,468] 1 [4:54:1]
106800br (4 curves)	1	2- 3- 5+ 89+	2- 3- 5+  2  0 -2 -6 -2
Curve Equation t Generators 106800br1 [0,1,0,-674008,188851988] 2 [-652:18750:1] 106800br2 [0,1,0,-2674008,-1487148012] 2 [-972:13950:1] 106800br3 [0,1,0,-52874008,147965251988] 2 [1748:246750:1] 106800br4 [0,1,0,-52894008,147847691988] 2 [599004:84578850:343]
106800bs (2 curves)	1	2- 3- 5+ 89+	2- 3- 5+  2  6  4 -6 -2
Curve Equation t Generators 106800bs1 [0,1,0,27,5103] 1 [27:162:1] 106800bs2 [0,1,0,-21573,1212543] 1 [87:42:1]
106800bt (2 curves)	1	2- 3- 5+ 89+	2- 3- 5+  2 -6 -2  0  4
Curve Equation t Generators 106800bt1 [0,1,0,-1333,-27037] 1 [634:4875:8] 106800bt2 [0,1,0,10667,368963] 1 [4063318:91762125:97336]
106800bu (1 curve)	1	2- 3- 5+ 89+	2- 3- 5+ -2 -6 -4 -6  4
Curve Equation t Generators 106800bu1 [0,1,0,27,-237] 1 [182:2463:1]
106800bv (2 curves)	1	2- 3- 5+ 89+	2- 3- 5+  4  0 -4  6 -2
Curve Equation t Generators 106800bv1 [0,1,0,-59408,5551188] 2 [-62:3000:1] 106800bv2 [0,1,0,-49408,7491188] 2 [-52:3150:1]
106800bw (4 curves)	1	2- 3- 5+ 89+	2- 3- 5+ -4  0  4  6 -2
Curve Equation t Generators 106800bw1 [0,1,0,-394141408,-3011931932812] 2 [23348:716850:1] 106800bw2 [0,1,0,-393981408,-3014499292812] 2 [4795000092:-147229824150:205379] 106800bw3 [0,1,0,-407587408,-2795433512812] 2 [1862464676:56868391950:79507] 106800bw4 [0,1,0,616412592,-14581673512812] 2 [19080086860603231884:-969571303099735225050:1125415706172913]
106800bx (4 curves)	0	2- 3- 5+ 89-	2- 3- 5+  0 -4  6  6 -8
Curve Equation t 106800bx1 [0,1,0,-10008,-276012] 2 106800bx2 [0,1,0,-60008,5423988] 4 106800bx3 [0,1,0,29992,20363988] 2 106800bx4 [0,1,0,-950008,356083988] 4
106800by (1 curve)	0	2- 3- 5+ 89-	2- 3- 5+  2 -2 -4 -6 -6
Curve Equation t 106800by1 [0,1,0,-13333,752963] 1
106800bz (1 curve)	0	2- 3- 5+ 89-	2- 3- 5+  3 -4 -3  0 -5
Curve Equation t 106800bz1 [0,1,0,-4836613,-4285609357] 1
106800ca (2 curves)	0	2- 3- 5+ 89-	2- 3- 5+  4  0  2 -2 -6
Curve Equation t 106800ca1 [0,1,0,-3033,48438] 2 106800ca2 [0,1,0,7092,311688] 2
106800cb (4 curves)	0	2- 3- 5+ 89-	2- 3- 5+ -4  4  2  6  0
Curve Equation t 106800cb1 [0,1,0,-754008,-197484012] 2 106800cb2 [0,1,0,-3954008,2855315988] 4 106800cb3 [0,1,0,3165992,12011635988] 2 106800cb4 [0,1,0,-62274008,189129395988] 2
106800cc (1 curve)	0	2- 3- 5- 89+	2- 3- 5-  0  0  6 -4  6
Curve Equation t 106800cc1 [0,1,0,167,1838] 1
106800cd (2 curves)	0	2- 3- 5- 89+	2- 3- 5-  0 -2  2  2 -2
Curve Equation t 106800cd1 [0,1,0,5792,-534412] 2 106800cd2 [0,1,0,-74208,-7094412] 2
106800ce (2 curves)	0	2- 3- 5- 89+	2- 3- 5-  3  3  6  2  0
Curve Equation t 106800ce1 [0,1,0,-1386008,635133588] 1 106800ce2 [0,1,0,8688792,-23575358412] 1
106800cf (1 curve)	0	2- 3- 5- 89+	2- 3- 5- -3 -5  2  2  4
Curve Equation t 106800cf1 [0,1,0,-33208,-3402412] 1
106800cg (1 curve)	0	2- 3- 5- 89+	2- 3- 5- -4  0  0  4  0
Curve Equation t 106800cg1 [0,1,0,-5333,-153537] 1
106800ch (1 curve)	1	2- 3- 5- 89-	2- 3- 5- -1 -4 -1  8  5
Curve Equation t Generators 106800ch1 [0,1,0,67,-2937] 1 [39:246:1]
106800ci (1 curve)	1	2- 3- 5- 89-	2- 3- 5- -4  2  2  2 -4
Curve Equation t Generators 106800ci1 [0,1,0,63792,6621588] 1 [162:4608:1]

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