Cremona's table of elliptic curves

13800 = 2³ · 3 · 5² · 23

Class	r	Atkin-Lehner	Eigenvalues
13800a (1 curve)	1	2+ 3+ 5+ 23+	2+ 3+ 5+ -1  3  5 -2  5
Curve Equation t Generators 13800a1 [0,-1,0,-248,1212] 1 [26:108:1]
13800b (1 curve)	1	2+ 3+ 5+ 23+	2+ 3+ 5+  3 -4  0 -3 -4
Curve Equation t Generators 13800b1 [0,-1,0,190367,140529637] 1 [37:12150:1]
13800c (4 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  0  0  2  6  0
Curve Equation t 13800c1 [0,-1,0,-98908,-76602188] 2 13800c2 [0,-1,0,-3379408,-2379513188] 4 13800c3 [0,-1,0,-54004408,-152735763188] 2 13800c4 [0,-1,0,-5242408,537944812] 2
13800d (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  0  2  0 -6  8
Curve Equation t 13800d1 [0,-1,0,-801008,288018012] 2 13800d2 [0,-1,0,-12968008,17978836012] 2
13800e (1 curve)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  3  0  2  3  6
Curve Equation t 13800e1 [0,-1,0,-5208,-153588] 1
13800f (1 curve)	2	2+ 3+ 5+ 23-	2+ 3+ 5+ -3 -3 -7 -6  3
Curve Equation t Generators 13800f1 [0,-1,0,-2968,22012] 1 [-22:276:1]&[1:138:1]
13800g (1 curve)	0	2+ 3+ 5+ 23-	2+ 3+ 5+ -3  5 -3  6 -1
Curve Equation t 13800g1 [0,-1,0,-488135208,-4063744743588] 1
13800h (1 curve)	2	2+ 3+ 5+ 23-	2+ 3+ 5+ -3 -6  2 -3 -6
Curve Equation t Generators 13800h1 [0,-1,0,-5033,139437] 1 [401:-7902:1]&[-63:450:1]
13800i (4 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  4  0  2  2 -4
Curve Equation t 13800i1 [0,-1,0,-108,4212] 2 13800i2 [0,-1,0,-4608,121212] 4 13800i3 [0,-1,0,-7608,-52788] 2 13800i4 [0,-1,0,-73608,7711212] 2
13800j (2 curves)	0	2+ 3+ 5- 23+	2+ 3+ 5- -2 -4  0  2 -4
Curve Equation t 13800j1 [0,-1,0,6292,-336588] 2 13800j2 [0,-1,0,-51208,-3671588] 2
13800k (2 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+ -2 -2 -2  8  4
Curve Equation t 13800k1 [0,1,0,2992,-106512] 2 13800k2 [0,1,0,-24008,-1186512] 2
13800l (4 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  4 -4  2  2  0
Curve Equation t 13800l1 [0,1,0,-5183,-145362] 2 13800l2 [0,1,0,-5308,-138112] 4 13800l3 [0,1,0,-18808,833888] 2 13800l4 [0,1,0,6192,-644112] 2
13800m (4 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0  4 -2 -2  0
Curve Equation t Generators 13800m1 [0,1,0,-2908,-61312] 2 [99680:2810016:125] 13800m2 [0,1,0,-3408,-39312] 4 [3188:180000:1] 13800m3 [0,1,0,-26408,1616688] 2 [43:750:1] 13800m4 [0,1,0,11592,-279312] 2 [203972:11523375:64]
13800n (6 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0 -4  2 -2  4
Curve Equation t Generators 13800n1 [0,1,0,-3234383,2237825238] 2 [793:13125:1] 13800n2 [0,1,0,-3234508,2237643488] 4 [803:12600:1] 13800n3 [0,1,0,-3547008,1778893488] 4 [-372:55200:1] 13800n4 [0,1,0,-2924008,2684763488] 2 [1079:28056:1] 13800n5 [0,1,0,-21772008,-37732906512] 2 [5367:6348:1] 13800n6 [0,1,0,9677992,11935693488] 2 [2503:227700:1]
13800o (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+  3  2 -1 -8 -5
Curve Equation t Generators 13800o1 [0,1,0,-33,-477] 1 [27:138:1]
13800p (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+ -3 -2 -2  1  6
Curve Equation t Generators 13800p1 [0,1,0,-7033,-6776437] 1 [1103:-36450:1]
13800q (2 curves)	1	2+ 3- 5- 23+	2+ 3- 5-  0  0  0 -4  2
Curve Equation t Generators 13800q1 [0,1,0,-25708,-1594912] 2 [232:2232:1] 13800q2 [0,1,0,-23208,-1914912] 2 [308:4500:1]
13800r (1 curve)	1	2- 3+ 5- 23+	2- 3+ 5- -3  2  1  8 -5
Curve Equation t Generators 13800r1 [0,-1,0,-833,-57963] 1 [91:782:1]
13800s (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  0  0  0  4  2
Curve Equation t 13800s1 [0,-1,0,-1028,-12348] 2 13800s2 [0,-1,0,-928,-14948] 2
13800t (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+ -1  0  4  1  0
Curve Equation t Generators 13800t1 [0,1,0,367,15363] 1 [13:150:1]
13800u (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+  2  0 -2 -8  6
Curve Equation t Generators 13800u1 [0,1,0,-72708,7589088] 2 [174:-486:1] 13800u2 [0,1,0,-1166208,484355088] 2 [48:20700:1]
13800v (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+ -2  0 -2  4 -6
Curve Equation t Generators 13800v1 [0,1,0,92,-1312] 2 [14:54:1] 13800v2 [0,1,0,-1408,-19312] 2 [64:396:1]
13800w (4 curves)	1	2- 3- 5+ 23+	2- 3- 5+ -4  4 -6  2  4
Curve Equation t Generators 13800w1 [0,1,0,-783,-7062] 2 [-13:33:1] 13800w2 [0,1,0,-3908,86688] 4 [-26:414:1] 13800w3 [0,1,0,-61408,5836688] 4 [-97:3300:1] 13800w4 [0,1,0,3592,386688] 2 [168:2400:1]
13800x (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+ -4 -6  4 -2  0
Curve Equation t Generators 13800x1 [0,1,0,1592,82688] 2 [328:6000:1] 13800x2 [0,1,0,-21408,1094688] 2 [234:5625:8]
13800y (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+ -2 -2  2  4  0
Curve Equation t 13800y1 [0,1,0,-1608,-35712] 2 13800y2 [0,1,0,-28608,-1871712] 2
13800z (1 curve)	0	2- 3- 5- 23+	2- 3- 5-  3 -3  7  6  3
Curve Equation t 13800z1 [0,1,0,-74208,2603088] 1
13800ba (1 curve)	0	2- 3- 5- 23+	2- 3- 5-  3  5  3 -6 -1
Curve Equation t 13800ba1 [0,1,0,-19525408,-32517768112] 1
13800bb (1 curve)	0	2- 3- 5- 23+	2- 3- 5- -3  0 -2 -3  6
Curve Equation t 13800bb1 [0,1,0,-208,-1312] 1
13800bc (1 curve)	1	2- 3- 5- 23-	2- 3- 5-  1  3 -5  2  5
Curve Equation t Generators 13800bc1 [0,1,0,-6208,139088] 1 [8:300:1]
13800bd (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  2 -4  0 -2 -4
Curve Equation t Generators 13800bd1 [0,1,0,252,-2592] 2 [18:90:1] 13800bd2 [0,1,0,-2048,-30192] 2 [-32:60:1]

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