Cremona's table of elliptic curves

10400 = 2⁵ · 5² · 13

Class	r	Atkin-Lehner	Eigenvalues
10400a (4 curves)	1	2+ 5+ 13+	2+  0 5+  4 -4 13+ -2  4
Curve Equation t Generators 10400a1 [0,0,0,-5425,-153000] 4 [-94172:61446:2197] 10400a2 [0,0,0,-86675,-9821750] 2 [-1186065677706:-1184039758:6978821031] 10400a3 [0,0,0,-8675,51750] 2 [-79:494:1] 10400a4 [0,0,0,-2300,-328000] 2 [685:17875:1]
10400b (4 curves)	1	2+ 5+ 13+	2+  0 5+ -4  4 13+ -2 -4
Curve Equation t Generators 10400b1 [0,0,0,-5425,153000] 4 [36:66:1] 10400b2 [0,0,0,-8675,-51750] 2 [-978:12518:27] 10400b3 [0,0,0,-86675,9821750] 2 [145:550:1] 10400b4 [0,0,0,-2300,328000] 2 [-60:500:1]
10400c (1 curve)	1	2+ 5+ 13+	2+  0 5+  5  1 13+  1 -4
Curve Equation t Generators 10400c1 [0,0,0,-140,-640] 1 [14:12:1]
10400d (1 curve)	1	2+ 5+ 13+	2+  0 5+ -5 -1 13+  1  4
Curve Equation t Generators 10400d1 [0,0,0,-140,640] 1 [6:4:1]
10400e (1 curve)	1	2+ 5+ 13+	2+  1 5+  3 -2 13+  3 -2
Curve Equation t Generators 10400e1 [0,1,0,-8,488] 1 [2:22:1]
10400f (2 curves)	0	2+ 5+ 13-	2+  0 5+  2 -2 13-  2  2
Curve Equation t 10400f1 [0,0,0,-10825,-433500] 2 10400f2 [0,0,0,-10700,-444000] 2
10400g (1 curve)	0	2+ 5+ 13-	2+  1 5+  2 -6 13- -6  6
Curve Equation t 10400g1 [0,1,0,-8333,287963] 1
10400h (1 curve)	0	2+ 5+ 13-	2+  1 5+ -2  2 13-  2  2
Curve Equation t 10400h1 [0,1,0,-978333,-364902037] 1
10400i (1 curve)	0	2+ 5+ 13-	2+  1 5+  4  5 13- -1 -7
Curve Equation t 10400i1 [0,1,0,32,28] 1
10400j (1 curve)	0	2+ 5+ 13-	2+ -1 5+ -2  6 13- -6 -6
Curve Equation t 10400j1 [0,-1,0,-8333,-287963] 1
10400k (2 curves)	0	2+ 5+ 13-	2+  2 5+  4 -6 13-  6 -6
Curve Equation t 10400k1 [0,-1,0,-2158,39312] 2 10400k2 [0,-1,0,-2033,43937] 2
10400l (2 curves)	0	2+ 5+ 13-	2+ -2 5+ -4  6 13-  6  6
Curve Equation t 10400l1 [0,1,0,-2158,-39312] 2 10400l2 [0,1,0,-2033,-43937] 2
10400m (1 curve)	0	2+ 5+ 13-	2+  3 5+  2 -2 13-  2  2
Curve Equation t 10400m1 [0,0,0,-40,80] 1
10400n (2 curves)	0	2+ 5- 13+	2+  0 5-  0  6 13+ -4  6
Curve Equation t 10400n1 [0,0,0,-3665,85400] 2 10400n2 [0,0,0,-3715,82950] 2
10400o (2 curves)	0	2+ 5- 13+	2+  0 5-  0 -6 13+ -4 -6
Curve Equation t 10400o1 [0,0,0,-3665,-85400] 2 10400o2 [0,0,0,-3715,-82950] 2
10400p (1 curve)	0	2+ 5- 13+	2+  1 5- -2 -2 13+ -2 -2
Curve Equation t 10400p1 [0,1,0,-39133,2903563] 1
10400q (1 curve)	0	2+ 5- 13+	2+  1 5-  4 -5 13+  1  7
Curve Equation t 10400q1 [0,1,0,792,-1912] 1
10400r (2 curves)	0	2+ 5- 13+	2+ -2 5-  0  0 13+  4  8
Curve Equation t 10400r1 [0,1,0,-458,3088] 2 10400r2 [0,1,0,792,18088] 2
10400s (1 curve)	0	2+ 5- 13+	2+  3 5-  2  2 13+ -2 -2
Curve Equation t 10400s1 [0,0,0,-1000,-10000] 1
10400t (2 curves)	1	2+ 5- 13-	2+ -2 5-  0  0 13- -4 -8
Curve Equation t Generators 10400t1 [0,1,0,-18,-32] 2 [-3:2:1] 10400t2 [0,1,0,32,-132] 2 [7:22:1]
10400u (1 curve)	0	2- 5+ 13+	2- -1 5+ -3  2 13+  3  2
Curve Equation t 10400u1 [0,-1,0,-8,-488] 1
10400v (2 curves)	1	2- 5+ 13-	2-  0 5+ -2  2 13-  2 -2
Curve Equation t Generators 10400v1 [0,0,0,-10825,433500] 2 [56:54:1] 10400v2 [0,0,0,-10700,444000] 2 [5:625:1]
10400w (1 curve)	1	2- 5+ 13-	2- -1 5+  2 -2 13-  2 -2
Curve Equation t Generators 10400w1 [0,-1,0,-978333,364902037] 1 [331:8788:1]
10400x (1 curve)	1	2- 5+ 13-	2- -1 5+ -4 -5 13- -1  7
Curve Equation t Generators 10400x1 [0,-1,0,32,-28] 1 [8:26:1]
10400y (1 curve)	1	2- 5+ 13-	2- -3 5+ -2  2 13-  2 -2
Curve Equation t Generators 10400y1 [0,0,0,-40,-80] 1 [-4:4:1]
10400z (1 curve)	1	2- 5- 13+	2-  1 5-  2  6 13+  6 -6
Curve Equation t Generators 10400z1 [0,1,0,-333,-2437] 1 [-11:4:1]
10400ba (1 curve)	1	2- 5- 13+	2- -1 5-  2  2 13+ -2  2
Curve Equation t Generators 10400ba1 [0,-1,0,-39133,-2903563] 1 [-3363:4076:27]
10400bb (1 curve)	1	2- 5- 13+	2- -1 5- -2 -6 13+  6  6
Curve Equation t Generators 10400bb1 [0,-1,0,-333,2437] 1 [7:20:1]
10400bc (1 curve)	1	2- 5- 13+	2- -1 5- -4  5 13+  1 -7
Curve Equation t Generators 10400bc1 [0,-1,0,792,1912] 1 [1:52:1]
10400bd (2 curves)	1	2- 5- 13+	2-  2 5-  0  0 13+  4 -8
Curve Equation t Generators 10400bd1 [0,-1,0,-458,-3088] 2 [18534:485000:27] 10400bd2 [0,-1,0,792,-18088] 2 [2315535:60656428:3375]
10400be (1 curve)	1	2- 5- 13+	2- -3 5- -2 -2 13+ -2  2
Curve Equation t Generators 10400be1 [0,0,0,-1000,10000] 1 [0:100:1]
10400bf (2 curves)	0	2- 5- 13-	2-  0 5-  0  6 13-  4  6
Curve Equation t 10400bf1 [0,0,0,-91625,10675000] 2 10400bf2 [0,0,0,-92875,10368750] 2
10400bg (2 curves)	0	2- 5- 13-	2-  0 5-  0 -6 13-  4 -6
Curve Equation t 10400bg1 [0,0,0,-91625,-10675000] 2 10400bg2 [0,0,0,-92875,-10368750] 2
10400bh (1 curve)	0	2- 5- 13-	2-  0 5-  5 -1 13- -1  4
Curve Equation t 10400bh1 [0,0,0,-3500,80000] 1
10400bi (1 curve)	0	2- 5- 13-	2-  0 5- -5  1 13- -1 -4
Curve Equation t 10400bi1 [0,0,0,-3500,-80000] 1
10400bj (2 curves)	0	2- 5- 13-	2-  2 5-  0  0 13- -4  8
Curve Equation t 10400bj1 [0,-1,0,-18,32] 2 10400bj2 [0,-1,0,32,132] 2

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