Cremona's table of elliptic curves

6800 = 2⁴ · 5² · 17

Class	r	Atkin-Lehner	Eigenvalues
6800a (4 curves)	1	2+ 5+ 17+	2+  0 5+  0  0  2 17+  4
Curve Equation t Generators 6800a1 [0,0,0,-3575,-82250] 2 [8130:138050:27] 6800a2 [0,0,0,-4075,-57750] 4 [-51:132:1] 6800a3 [0,0,0,-29075,1867250] 2 [-179:1156:1] 6800a4 [0,0,0,12925,-414750] 2 [1173:12914:27]
6800b (1 curve)	1	2+ 5+ 17+	2+ -1 5+  2 -4  1 17+  1
Curve Equation t Generators 6800b1 [0,-1,0,-8,2512] 1 [2:50:1]
6800c (2 curves)	1	2+ 5+ 17+	2+  2 5+  2  2 -2 17+ -8
Curve Equation t Generators 6800c1 [0,-1,0,-88508,10164512] 2 [19880:36576:125] 6800c2 [0,-1,0,-88008,10284512] 2 [62:2250:1]
6800d (2 curves)	1	2+ 5+ 17+	2+ -2 5+ -2  6 -2 17+  0
Curve Equation t Generators 6800d1 [0,1,0,-108,-212] 2 [-6:16:1] 6800d2 [0,1,0,392,-1212] 2 [8:50:1]
6800e (2 curves)	0	2+ 5+ 17-	2+  2 5+  0 -2  6 17- -4
Curve Equation t 6800e1 [0,-1,0,-208,912] 2 6800e2 [0,-1,0,-1208,-15088] 2
6800f (1 curve)	0	2+ 5- 17+	2+  1 5-  4 -2 -5 17+  7
Curve Equation t 6800f1 [0,1,0,-13208,617588] 1
6800g (1 curve)	1	2+ 5- 17-	2+ -1 5- -4 -2  5 17-  7
Curve Equation t Generators 6800g1 [0,-1,0,-528,5152] 1 [52:340:1]
6800h (4 curves)	0	2- 5+ 17+	2-  0 5+  4  0  2 17+  4
Curve Equation t 6800h1 [0,0,0,-275,-750] 2 6800h2 [0,0,0,-2275,41250] 4 6800h3 [0,0,0,-36275,2659250] 2 6800h4 [0,0,0,-275,111250] 2
6800i (2 curves)	0	2- 5+ 17+	2-  0 5+ -4 -2  6 17+  0
Curve Equation t 6800i1 [0,0,0,-700,-7125] 2 6800i2 [0,0,0,-575,-9750] 2
6800j (1 curve)	0	2- 5+ 17+	2-  1 5+ -5 -4 -3 17+  2
Curve Equation t 6800j1 [0,1,0,21712,207188] 1
6800k (1 curve)	0	2- 5+ 17+	2- -1 5+  1  4  1 17+  6
Curve Equation t 6800k1 [0,-1,0,-48,-128] 1
6800l (2 curves)	0	2- 5+ 17+	2-  2 5+ -2 -2 -2 17+  0
Curve Equation t 6800l1 [0,-1,0,-3408,77312] 2 6800l2 [0,-1,0,-1408,165312] 2
6800m (4 curves)	0	2- 5+ 17+	2- -2 5+  2 -6 -2 17+ -8
Curve Equation t 6800m1 [0,1,0,-1021408,-397660812] 2 6800m2 [0,1,0,-989408,-423708812] 2 6800m3 [0,1,0,-1667408,162455188] 2 6800m4 [0,1,0,6524592,1292951188] 2
6800n (2 curves)	0	2- 5+ 17+	2- -2 5+ -2  2  6 17+  8
Curve Equation t 6800n1 [0,1,0,-3008,-56012] 2 6800n2 [0,1,0,4992,-296012] 2
6800o (1 curve)	0	2- 5+ 17+	2-  3 5+  2  4  3 17+ -3
Curve Equation t 6800o1 [0,0,0,-4075,100250] 1
6800p (1 curve)	0	2- 5+ 17+	2- -3 5+ -1  4 -3 17+ -6
Curve Equation t 6800p1 [0,0,0,3125,-143750] 1
6800q (2 curves)	1	2- 5+ 17-	2-  1 5+ -1  0  1 17-  4
Curve Equation t Generators 6800q1 [0,1,0,12,8] 1 [7:22:1] 6800q2 [0,1,0,-188,968] 1 [-1:34:1]
6800r (2 curves)	1	2- 5+ 17-	2-  1 5+  2  0  1 17-  1
Curve Equation t Generators 6800r1 [0,1,0,159592,7671188] 1 [-15526:204800:343] 6800r2 [0,1,0,-2656408,1719287188] 1 [1398:27200:1]
6800s (2 curves)	1	2- 5+ 17-	2-  1 5+  2  0 -5 17-  1
Curve Equation t Generators 6800s1 [0,1,0,-1008,-52012] 1 [148:1750:1] 6800s2 [0,1,0,8992,1327988] 1 [-52:850:1]
6800t (4 curves)	1	2- 5+ 17-	2- -2 5+ -4 -6 -2 17-  4
Curve Equation t Generators 6800t1 [0,1,0,-1208,-10412] 2 [-26:64:1] 6800t2 [0,1,0,-17208,-874412] 2 [-76:14:1] 6800t3 [0,1,0,-41208,3205588] 2 [68:850:1] 6800t4 [0,1,0,-45208,2541588] 2 [52:578:1]
6800u (1 curve)	1	2- 5- 17+	2-  1 5-  0  6 -3 17+  7
Curve Equation t Generators 6800u1 [0,1,0,-288,-2572] 1 [28:110:1]
6800v (2 curves)	1	2- 5- 17+	2- -1 5-  1  0 -1 17+  4
Curve Equation t Generators 6800v1 [0,-1,0,292,412] 1 [17:100:1] 6800v2 [0,-1,0,-4708,130412] 1 [41:68:1]
6800w (1 curve)	0	2- 5- 17-	2-  1 5- -1  4 -1 17-  6
Curve Equation t 6800w1 [0,1,0,-1208,-18412] 1
6800x (1 curve)	0	2- 5- 17-	2- -1 5-  0  6  3 17-  7
Curve Equation t 6800x1 [0,-1,0,-7208,-307088] 1
6800y (1 curve)	0	2- 5- 17-	2- -1 5-  5 -4  3 17-  2
Curve Equation t 6800y1 [0,-1,0,542792,24812912] 1
6800z (1 curve)	0	2- 5- 17-	2-  3 5-  1  4  3 17- -6
Curve Equation t 6800z1 [0,0,0,125,-1150] 1

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