Cremona's table of elliptic curves

5200 = 2⁴ · 5² · 13

Class	r	Atkin-Lehner	Eigenvalues
5200a (1 curve)	1	2+ 5+ 13+	2+ -1 5+  0  2 13+  2 -8
Curve Equation t Generators 5200a1 [0,-1,0,-833,-2963] 1 [-4:17:1]
5200b (2 curves)	1	2+ 5+ 13+	2+  2 5+  0 -2 13+ -2 -2
Curve Equation t Generators 5200b1 [0,-1,0,-508,4512] 2 [-24:48:1] 5200b2 [0,-1,0,-8,12512] 2 [22:150:1]
5200c (1 curve)	1	2+ 5+ 13+	2+  2 5+  3 -3 13+ -3 -4
Curve Equation t Generators 5200c1 [0,-1,0,-8,32] 1 [-2:6:1]
5200d (1 curve)	1	2+ 5+ 13+	2+  2 5+ -3 -1 13+  5  4
Curve Equation t Generators 5200d1 [0,-1,0,272,4272] 1 [6:78:1]
5200e (4 curves)	0	2+ 5+ 13-	2+  0 5+  0  4 13-  6 -4
Curve Equation t 5200e1 [0,0,0,-575,-5250] 2 5200e2 [0,0,0,-1075,5250] 4 5200e3 [0,0,0,-14075,642250] 2 5200e4 [0,0,0,3925,40250] 4
5200f (1 curve)	0	2+ 5+ 13-	2+  1 5+  5  2 13-  3  2
Curve Equation t 5200f1 [0,1,0,-408,3188] 1
5200g (1 curve)	0	2+ 5+ 13-	2+  3 5+  2  2 13- -2 -4
Curve Equation t 5200g1 [0,0,0,-100,-340] 1
5200h (2 curves)	0	2+ 5- 13+	2+  0 5-  4  2 13+ -4  2
Curve Equation t 5200h1 [0,0,0,-875,6250] 2 5200h2 [0,0,0,-5875,-168750] 2
5200i (1 curve)	0	2+ 5- 13+	2+ -3 5- -2  2 13+  2 -4
Curve Equation t 5200i1 [0,0,0,-2500,-42500] 1
5200j (2 curves)	1	2+ 5- 13-	2+  0 5- -4  2 13-  4  2
Curve Equation t Generators 5200j1 [0,0,0,-35,50] 2 [-5:10:1] 5200j2 [0,0,0,-235,-1350] 2 [-9:6:1]
5200k (1 curve)	1	2+ 5- 13-	2+  1 5-  0  2 13- -2 -8
Curve Equation t Generators 5200k1 [0,1,0,-33,-37] 1 [-2:5:1]
5200l (1 curve)	1	2+ 5- 13-	2+ -2 5-  3 -1 13- -5  4
Curve Equation t Generators 5200l1 [0,1,0,6792,547588] 1 [408:8450:1]
5200m (1 curve)	1	2+ 5- 13-	2+ -2 5- -3 -3 13-  3 -4
Curve Equation t Generators 5200m1 [0,1,0,-208,3588] 1 [8:50:1]
5200n (4 curves)	0	2- 5+ 13+	2-  0 5+  0  0 13+ -2  8
Curve Equation t 5200n1 [0,0,0,-2675,19250] 2 5200n2 [0,0,0,-34675,2483250] 4 5200n3 [0,0,0,-554675,159003250] 2 5200n4 [0,0,0,-26675,3659250] 2
5200o (1 curve)	0	2- 5+ 13+	2-  0 5+ -3 -3 13+  1 -4
Curve Equation t 5200o1 [0,0,0,625,6250] 1
5200p (3 curves)	0	2- 5+ 13+	2-  1 5+ -1 -6 13+  3 -2
Curve Equation t 5200p1 [0,1,0,192,-1612] 1 5200p2 [0,1,0,-1808,58388] 1 5200p3 [0,1,0,-183808,30270388] 1
5200q (2 curves)	0	2- 5+ 13+	2-  1 5+ -4  6 13+ -6  4
Curve Equation t 5200q1 [0,1,0,-53,-157] 1 5200q2 [0,1,0,-853,9283] 1
5200r (2 curves)	0	2- 5+ 13+	2- -2 5+ -1 -3 13+ -3  4
Curve Equation t 5200r1 [0,1,0,-10208,-406412] 1 5200r2 [0,1,0,39792,-1906412] 1
5200s (4 curves)	0	2- 5+ 13+	2- -2 5+ -4  6 13+  6 -2
Curve Equation t 5200s1 [0,1,0,-13008,-572012] 2 5200s2 [0,1,0,-5008,-1260012] 2 5200s3 [0,1,0,-83008,8807988] 2 5200s4 [0,1,0,44992,33639988] 2
5200t (2 curves)	0	2- 5+ 13+	2- -2 5+  5  3 13+ -3  4
Curve Equation t 5200t1 [0,1,0,-2088,45748] 1 5200t2 [0,1,0,-181288,29649588] 1
5200u (1 curve)	0	2- 5+ 13+	2-  3 5+  0  3 13+  7 -1
Curve Equation t 5200u1 [0,0,0,-355,-2590] 1
5200v (2 curves)	1	2- 5+ 13-	2-  0 5+ -2  2 13- -6  6
Curve Equation t Generators 5200v1 [0,0,0,-100,375] 2 [-11:12:1] 5200v2 [0,0,0,25,1250] 2 [10:50:1]
5200w (2 curves)	1	2- 5+ 13-	2-  1 5+  2 -2 13- -2  0
Curve Equation t Generators 5200w1 [0,1,0,-1573,-22637] 1 [-18:13:1] 5200w2 [0,1,0,-203333,35222963] 1 [32470:697:125]
5200x (1 curve)	1	2- 5+ 13-	2- -1 5+  2  2 13- -2  0
Curve Equation t Generators 5200x1 [0,-1,0,-13,17] 1 [1:2:1]
5200y (1 curve)	1	2- 5+ 13-	2- -1 5+ -4 -1 13-  7  3
Curve Equation t Generators 5200y1 [0,-1,0,4792,-1411088] 1 [116:832:1]
5200z (2 curves)	1	2- 5+ 13-	2-  2 5+  2 -4 13- -2  0
Curve Equation t Generators 5200z1 [0,-1,0,-7033,-224688] 2 [16683012:305417125:46656] 5200z2 [0,-1,0,-6908,-233188] 2 [11306:424125:8]
5200ba (2 curves)	1	2- 5+ 13-	2-  2 5+ -4  2 13- -2 -6
Curve Equation t Generators 5200ba1 [0,-1,0,-336408,75203312] 2 [-478:11250:1] 5200ba2 [0,-1,0,-304408,90051312] 2 [4602:310050:1]
5200bb (2 curves)	1	2- 5+ 13-	2- -2 5+ -4 -2 13- -2  6
Curve Equation t Generators 5200bb1 [0,1,0,-408,-812] 2 [-12:50:1] 5200bb2 [0,1,0,1592,-4812] 2 [28:250:1]
5200bc (2 curves)	1	2- 5+ 13-	2- -3 5+  1  2 13-  3 -6
Curve Equation t Generators 5200bc1 [0,0,0,-1075,-20750] 1 [41:64:1] 5200bc2 [0,0,0,-85075,10479250] 1 [209:-1352:1]
5200bd (1 curve)	1	2- 5- 13+	2-  1 5- -2  2 13+  2  0
Curve Equation t Generators 5200bd1 [0,1,0,-333,1463] 1 [-17:50:1]
5200be (1 curve)	1	2- 5- 13+	2-  1 5-  4 -1 13+ -7  3
Curve Equation t Generators 5200be1 [0,1,0,192,-11212] 1 [28:130:1]
5200bf (2 curves)	1	2- 5- 13+	2- -1 5- -2 -2 13+  2  0
Curve Equation t Generators 5200bf1 [0,-1,0,-8133,285037] 1 [52:5:1] 5200bf2 [0,-1,0,-39333,-2750963] 1 [-108:475:1]
5200bg (1 curve)	0	2- 5- 13-	2-  0 5-  3 -3 13- -1 -4
Curve Equation t 5200bg1 [0,0,0,25,50] 1
5200bh (2 curves)	0	2- 5- 13-	2- -1 5-  4  6 13-  6  4
Curve Equation t 5200bh1 [0,-1,0,-1333,-16963] 1 5200bh2 [0,-1,0,-21333,1203037] 1
5200bi (2 curves)	0	2- 5- 13-	2-  2 5-  1 -3 13-  3  4
Curve Equation t 5200bi1 [0,-1,0,-408,-3088] 1 5200bi2 [0,-1,0,1592,-15888] 1
5200bj (2 curves)	0	2- 5- 13-	2-  2 5- -5  3 13-  3  4
Curve Equation t 5200bj1 [0,-1,0,-52208,5822912] 1 5200bj2 [0,-1,0,-4532208,3715262912] 1
5200bk (1 curve)	0	2- 5- 13-	2- -3 5-  0  3 13- -7 -1
Curve Equation t 5200bk1 [0,0,0,-8875,-323750] 1

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