Cremona's table of elliptic curves

41200 = 2⁴ · 5² · 103

Class	r	Atkin-Lehner	Eigenvalues
41200a (1 curve)	1	2+ 5+ 103+	2+  0 5+  1  0  5  5  7
Curve Equation t Generators 41200a1 [0,0,0,-59375,5568750] 1 [101:776:1]
41200b (1 curve)	1	2+ 5+ 103+	2+  0 5+ -2 -3 -7  2 -2
Curve Equation t Generators 41200b1 [0,0,0,325,-5750] 1 [15:50:1]
41200c (1 curve)	1	2+ 5+ 103+	2+  0 5+  5  2 -1  1 -7
Curve Equation t Generators 41200c1 [0,0,0,-21875,5181250] 1 [91:1986:1]
41200d (1 curve)	1	2+ 5+ 103+	2+ -1 5+  2  4 -4 -6  7
Curve Equation t Generators 41200d1 [0,-1,0,-7283,242062] 1 [346:625:8]
41200e (1 curve)	1	2+ 5+ 103+	2+  2 5+ -1  4 -1 -3  7
Curve Equation t Generators 41200e1 [0,-1,0,32,-48] 1 [6:18:1]
41200f (1 curve)	1	2+ 5+ 103+	2+  2 5+ -5 -2  5 -3  5
Curve Equation t Generators 41200f1 [0,-1,0,12,32] 1 [8:24:1]
41200g (1 curve)	1	2+ 5+ 103+	2+  3 5+  2 -4 -4 -2  5
Curve Equation t Generators 41200g1 [0,0,0,56825,2105750] 1 [854835:19313612:3375]
41200h (1 curve)	2	2+ 5+ 103-	2+  1 5+ -2  0 -4 -2 -3
Curve Equation t Generators 41200h1 [0,1,0,92,2188] 1 [3:50:1]&[18:100:1]
41200i (1 curve)	0	2+ 5+ 103-	2+ -1 5+  0  6 -2  2 -7
Curve Equation t 41200i1 [0,-1,0,-6352008,-6159783488] 1
41200j (1 curve)	0	2+ 5+ 103-	2+  2 5+  3 -4 -1 -3 -5
Curve Equation t 41200j1 [0,-1,0,-208,48912] 1
41200k (1 curve)	0	2+ 5+ 103-	2+  2 5+ -3 -6  1  5 -1
Curve Equation t 41200k1 [0,-1,0,-76228,-8085888] 1
41200l (1 curve)	0	2+ 5+ 103-	2+ -2 5+  1  6 -7  5  3
Curve Equation t 41200l1 [0,1,0,-2708,58588] 1
41200m (1 curve)	0	2+ 5+ 103-	2+  3 5+  4 -2  2  6  1
Curve Equation t 41200m1 [0,0,0,-1675,34250] 1
41200n (1 curve)	0	2+ 5- 103+	2+  2 5- -1  6  7 -5  3
Curve Equation t 41200n1 [0,-1,0,-108,512] 1
41200o (1 curve)	0	2+ 5- 103+	2+ -2 5- -2 -5 -5  0  4
Curve Equation t 41200o1 [0,1,0,430226792,532845297588] 1
41200p (1 curve)	0	2+ 5- 103+	2+ -2 5-  3 -6 -1 -5 -1
Curve Equation t 41200p1 [0,1,0,-1905708,-1014547412] 1
41200q (1 curve)	2	2+ 5- 103+	2+ -2 5- -3 -4  1  3 -5
Curve Equation t Generators 41200q1 [0,1,0,-8,388] 1 [-2:-20:1]&[-6:16:1]
41200r (1 curve)	0	2+ 5- 103+	2+ -3 5- -2  6  4  4 -1
Curve Equation t 41200r1 [0,0,0,-250,-3125] 1
41200s (1 curve)	1	2+ 5- 103-	2+  0 5- -1  0 -5 -5  7
Curve Equation t Generators 41200s1 [0,0,0,-2375,44550] 1 [29:8:1]
41200t (1 curve)	1	2+ 5- 103-	2+  0 5- -5  2  1 -1 -7
Curve Equation t Generators 41200t1 [0,0,0,-875,41450] 1 [-29:206:1]
41200u (1 curve)	1	2+ 5- 103-	2+  2 5-  2 -5  5  0  4
Curve Equation t Generators 41200u1 [0,-1,0,17209072,4255878752] 1 [18442:2567790:1]
41200v (1 curve)	1	2+ 5- 103-	2+ -2 5-  1  4  1  3  7
Curve Equation t Generators 41200v1 [0,1,0,792,-4412] 1 [8:50:1]
41200w (1 curve)	1	2+ 5- 103-	2+ -2 5-  5 -2 -5  3  5
Curve Equation t Generators 41200w1 [0,1,0,292,4588] 1 [2:72:1]
41200x (1 curve)	1	2+ 5- 103-	2+  3 5-  2  6 -4 -4 -1
Curve Equation t Generators 41200x1 [0,0,0,-10,-25] 1 [870:55:216]
41200y (4 curves)	0	2- 5+ 103+	2-  0 5+  0  0 -6 -2 -4
Curve Equation t 41200y1 [0,0,0,12925,-1114750] 2 41200y2 [0,0,0,-115075,-12762750] 4 41200y3 [0,0,0,-515075,130037250] 2 41200y4 [0,0,0,-1763075,-901034750] 2
41200z (1 curve)	0	2- 5+ 103+	2-  0 5+ -3  6  3  1  5
Curve Equation t 41200z1 [0,0,0,-395,-3270] 1
41200ba (1 curve)	0	2- 5+ 103+	2-  1 5+ -2 -1 -6  3  5
Curve Equation t 41200ba1 [0,1,0,43072,-18032332] 1
41200bb (1 curve)	0	2- 5+ 103+	2-  1 5+  4  2  6  6  5
Curve Equation t 41200bb1 [0,1,0,-3408,-104812] 1
41200bc (1 curve)	0	2- 5+ 103+	2- -2 5+ -5 -4  3 -3 -1
Curve Equation t 41200bc1 [0,1,0,164792,-42806412] 1
41200bd (1 curve)	1	2- 5+ 103-	2-  0 5+  1  0 -1 -3 -3
Curve Equation t Generators 41200bd1 [0,0,0,-6875,-293750] 1 [781:21696:1]
41200be (1 curve)	1	2- 5+ 103-	2-  0 5+ -2  3  5 -6 -6
Curve Equation t Generators 41200be1 [0,0,0,-32075,6560250] 1 [165:2400:1]
41200bf (1 curve)	1	2- 5+ 103-	2-  1 5+  0  4 -2 -8  5
Curve Equation t Generators 41200bf1 [0,1,0,-33,-562] 1 [74:25:8]
41200bg (2 curves)	1	2- 5+ 103-	2-  1 5+ -4  0 -2  0 -5
Curve Equation t Generators 41200bg1 [0,1,0,367,-262] 1 [2:22:1] 41200bg2 [0,1,0,-4633,132238] 1 [54:206:1]
41200bh (2 curves)	1	2- 5+ 103-	2-  2 5+  0  6  2 -2  4
Curve Equation t Generators 41200bh1 [0,-1,0,592,5312] 2 [4042:256950:1] 41200bh2 [0,-1,0,-3408,53312] 2 [-64:72:1]
41200bi (2 curves)	1	2- 5+ 103-	2- -2 5+ -1  0 -5 -3 -5
Curve Equation t Generators 41200bi1 [0,1,0,152,-972] 1 [14:-64:1] 41200bi2 [0,1,0,-1448,38068] 1 [142:1648:1]
41200bj (1 curve)	1	2- 5+ 103-	2- -3 5+ -2  3  2  3 -3
Curve Equation t Generators 41200bj1 [0,0,0,-9355,348730] 1 [71:206:1]
41200bk (1 curve)	1	2- 5- 103+	2-  0 5- -1  0  1  3 -3
Curve Equation t Generators 41200bk1 [0,0,0,-275,-2350] 1 [25:80:1]
41200bl (1 curve)	1	2- 5- 103+	2-  1 5-  2  2  0  0 -7
Curve Equation t Generators 41200bl1 [0,1,0,32,-332] 1 [18:80:1]
41200bm (1 curve)	1	2- 5- 103+	2-  1 5- -2  2 -4  4  1
Curve Equation t Generators 41200bm1 [0,1,0,-609768,183068468] 1 [334:4096:1]
41200bn (1 curve)	1	2- 5- 103+	2-  1 5-  4  2  2 -2  1
Curve Equation t Generators 41200bn1 [0,1,0,-493,-4382] 1 [105462:512765:2744]
41200bo (2 curves)	1	2- 5- 103+	2-  2 5-  1  0  5  3 -5
Curve Equation t Generators 41200bo1 [0,-1,0,3792,-129088] 1 [984:6400:27] 41200bo2 [0,-1,0,-36208,4830912] 1 [-2904:73792:27]
41200bp (1 curve)	1	2- 5- 103+	2- -2 5- -2 -1 -1 -8  4
Curve Equation t Generators 41200bp1 [0,1,0,6792,-442412] 1 [108:1250:1]
41200bq (1 curve)	1	2- 5- 103+	2-  3 5-  2  3 -2 -3 -3
Curve Equation t Generators 41200bq1 [0,0,0,-233875,43591250] 1 [12675:164800:27]
41200br (1 curve)	0	2- 5- 103-	2-  0 5-  3  6 -3 -1  5
Curve Equation t 41200br1 [0,0,0,-9875,-408750] 1
41200bs (1 curve)	0	2- 5- 103-	2- -1 5-  2 -1  6 -3  5
Curve Equation t 41200bs1 [0,-1,0,1076792,-2256195088] 1
41200bt (1 curve)	0	2- 5- 103-	2- -1 5-  2  2  4 -4  1
Curve Equation t 41200bt1 [0,-1,0,-15244208,22914046912] 1
41200bu (1 curve)	2	2- 5- 103-	2- -1 5- -2  2  0  0 -7
Curve Equation t Generators 41200bu1 [0,-1,0,792,-43088] 1 [28:16:1]&[42:250:1]
41200bv (1 curve)	0	2- 5- 103-	2- -1 5- -4  2 -2  2  1
Curve Equation t 41200bv1 [0,-1,0,-12333,-523088] 1
41200bw (1 curve)	0	2- 5- 103-	2-  2 5-  2 -1  1  8  4
Curve Equation t 41200bw1 [0,-1,0,272,-3648] 1
41200bx (1 curve)	0	2- 5- 103-	2-  2 5-  5 -4 -3  3 -1
Curve Equation t 41200bx1 [0,-1,0,6592,-345088] 1

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