Cremona's table of elliptic curves

24800 = 2⁵ · 5² · 31

Class	r	Atkin-Lehner	Eigenvalues
24800a (2 curves)	1	2+ 5+ 31+	2+  0 5+  2  4  0  0 -4
Curve Equation t Generators 24800a1 [0,0,0,-425,500] 2 [-11:62:1] 24800a2 [0,0,0,-4300,-108000] 2 [-36:12:1]
24800b (2 curves)	1	2+ 5+ 31+	2+  0 5+  4 -2  6  4 -4
Curve Equation t Generators 24800b1 [0,0,0,175,1000] 2 [4:42:1] 24800b2 [0,0,0,-1075,9750] 2 [-15:150:1]
24800c (2 curves)	1	2+ 5+ 31+	2+ -2 5+  0 -6  4 -2  8
Curve Equation t Generators 24800c1 [0,1,0,-158,6688] 2 [18:100:1] 24800c2 [0,1,0,-6408,194188] 2 [-81:434:1]
24800d (2 curves)	0	2+ 5+ 31-	2+  0 5+ -4  2  6  4  4
Curve Equation t 24800d1 [0,0,0,175,-1000] 2 24800d2 [0,0,0,-1075,-9750] 2
24800e (2 curves)	0	2+ 5+ 31-	2+  2 5+  0  6  4 -2 -8
Curve Equation t 24800e1 [0,-1,0,-158,-6688] 2 24800e2 [0,-1,0,-6408,-194188] 2
24800f (1 curve)	0	2+ 5+ 31-	2+ -3 5+ -4  3  4 -3  1
Curve Equation t 24800f1 [0,0,0,3125,81250] 1
24800g (1 curve)	0	2+ 5- 31+	2+  0 5- -1  3  3 -2 -2
Curve Equation t 24800g1 [0,0,0,125,-3750] 1
24800h (1 curve)	0	2+ 5- 31+	2+  1 5-  4  6 -6 -7 -3
Curve Equation t 24800h1 [0,1,0,-333,23963] 1
24800i (1 curve)	2	2+ 5- 31+	2+ -3 5- -4 -3 -4  3 -1
Curve Equation t Generators 24800i1 [0,0,0,125,-650] 1 [5:10:1]&[45:310:1]
24800j (1 curve)	1	2+ 5- 31-	2+  0 5-  1 -3  3 -2  2
Curve Equation t Generators 24800j1 [0,0,0,125,3750] 1 [25:150:1]
24800k (1 curve)	1	2+ 5- 31-	2+ -1 5- -4 -6 -6 -7  3
Curve Equation t Generators 24800k1 [0,-1,0,-333,-23963] 1 [67:-500:1]
24800l (1 curve)	0	2- 5+ 31+	2-  0 5+  1  3 -3  2 -2
Curve Equation t 24800l1 [0,0,0,5,-30] 1
24800m (1 curve)	0	2- 5+ 31+	2-  3 5+  4 -3  4 -3 -1
Curve Equation t 24800m1 [0,0,0,3125,-81250] 1
24800n (1 curve)	1	2- 5+ 31-	2-  0 5+ -1 -3 -3  2  2
Curve Equation t Generators 24800n1 [0,0,0,5,30] 1 [1:6:1]
24800o (2 curves)	1	2- 5+ 31-	2-  0 5+ -2 -4  0  0  4
Curve Equation t Generators 24800o1 [0,0,0,-425,-500] 2 [-15:50:1] 24800o2 [0,0,0,-4300,108000] 2 [45:75:1]
24800p (1 curve)	1	2- 5- 31+	2- -1 5- -4  6  6  7 -3
Curve Equation t Generators 24800p1 [0,-1,0,-13,197] 1 [7:20:1]
24800q (1 curve)	0	2- 5- 31-	2-  1 5-  4 -6  6  7  3
Curve Equation t 24800q1 [0,1,0,-13,-197] 1
24800r (1 curve)	0	2- 5- 31-	2-  3 5-  4  3 -4  3  1
Curve Equation t 24800r1 [0,0,0,125,650] 1

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