Cremona's table of elliptic curves

18800 = 2⁴ · 5² · 47

Class	r	Atkin-Lehner	Eigenvalues
18800a (1 curve)	1	2+ 5+ 47+	2+  3 5+  1 -6  2 -3 -8
Curve Equation t Generators 18800a1 [0,0,0,5,5] 1 [12:73:27]
18800b (1 curve)	1	2+ 5+ 47+	2+ -3 5+  1  3 -1  0  7
Curve Equation t Generators 18800b1 [0,0,0,-22075,1260250] 1 [155:1250:1]
18800c (1 curve)	0	2+ 5+ 47-	2+ -1 5+  0 -5  4  3  7
Curve Equation t 18800c1 [0,-1,0,-27648,-1760288] 1
18800d (1 curve)	2	2+ 5+ 47-	2+ -1 5+ -1 -3 -1 -4  1
Curve Equation t Generators 18800d1 [0,-1,0,-408,1312] 1 [-18:50:1]&[-3:50:1]
18800e (1 curve)	0	2+ 5+ 47-	2+ -1 5+ -3  4 -2 -3 -2
Curve Equation t 18800e1 [0,-1,0,-208,-4213] 1
18800f (1 curve)	0	2+ 5+ 47-	2+ -2 5+ -2  0 -5  4  0
Curve Equation t 18800f1 [0,1,0,-2633,-64637] 1
18800g (1 curve)	0	2+ 5- 47+	2+  1 5-  0 -5 -4 -3  7
Curve Equation t 18800g1 [0,1,0,-691208,-221418412] 1
18800h (1 curve)	0	2+ 5- 47+	2+  1 5-  1  1  1  6  1
Curve Equation t 18800h1 [0,1,0,-1368,-19132] 1
18800i (1 curve)	0	2+ 5- 47+	2+  1 5-  3  4  2  3 -2
Curve Equation t 18800i1 [0,1,0,-8,-37] 1
18800j (1 curve)	0	2+ 5- 47+	2+  1 5-  5  5  1  2 -3
Curve Equation t 18800j1 [0,1,0,-31208,2111588] 1
18800k (1 curve)	0	2+ 5- 47+	2+  2 5- -4 -2 -1  0 -8
Curve Equation t 18800k1 [0,-1,0,-64833,6385037] 1
18800l (1 curve)	1	2+ 5- 47-	2+ -1 5- -1  1 -1 -6  1
Curve Equation t Generators 18800l1 [0,-1,0,-34208,-2323088] 1 [542:11750:1]
18800m (1 curve)	1	2+ 5- 47-	2+ -1 5- -5  5 -1 -2 -3
Curve Equation t Generators 18800m1 [0,-1,0,-1248,17392] 1 [22:10:1]
18800n (1 curve)	1	2+ 5- 47-	2+ -2 5-  4 -2  1  0 -8
Curve Equation t Generators 18800n1 [0,1,0,-2593,50043] 1 [-2:235:1]
18800o (1 curve)	1	2+ 5- 47-	2+ -3 5- -1 -6 -2  3 -8
Curve Equation t Generators 18800o1 [0,0,0,125,625] 1 [0:25:1]
18800p (2 curves)	0	2- 5+ 47+	2-  0 5+  0 -2  4  2  2
Curve Equation t 18800p1 [0,0,0,125,5250] 2 18800p2 [0,0,0,-3875,89250] 2
18800q (2 curves)	0	2- 5+ 47+	2-  1 5+ -1  0 -2 -3 -2
Curve Equation t 18800q1 [0,1,0,-18,-37] 1 18800q2 [0,1,0,82,-97] 1
18800r (1 curve)	0	2- 5+ 47+	2-  1 5+ -1  3  5 -2  7
Curve Equation t 18800r1 [0,1,0,-17408,-884812] 1
18800s (2 curves)	0	2- 5+ 47+	2-  1 5+ -1 -3 -5 -6  1
Curve Equation t 18800s1 [0,1,0,-2309008,-1351244012] 1 18800s2 [0,1,0,-2539008,-1066024012] 1
18800t (2 curves)	0	2- 5+ 47+	2-  1 5+  5  3 -5  0  7
Curve Equation t 18800t1 [0,1,0,-14408,-668812] 1 18800t2 [0,1,0,-70408,6611188] 1
18800u (1 curve)	0	2- 5+ 47+	2- -1 5+  1  1  5 -2  5
Curve Equation t 18800u1 [0,-1,0,-508,-3988] 1
18800v (1 curve)	0	2- 5+ 47+	2- -1 5+  4 -5 -4 -5 -1
Curve Equation t 18800v1 [0,-1,0,-12288,-524288] 1
18800w (1 curve)	0	2- 5+ 47+	2- -2 5+  2  0  5 -8  4
Curve Equation t 18800w1 [0,1,0,540467,8319063] 1
18800x (1 curve)	0	2- 5+ 47+	2-  3 5+ -3 -5 -5  2 -1
Curve Equation t 18800x1 [0,0,0,-2575,-49750] 1
18800y (1 curve)	0	2- 5+ 47+	2- -3 5+ -3  1  1  8  5
Curve Equation t 18800y1 [0,0,0,-46675,-896750] 1
18800z (2 curves)	1	2- 5+ 47-	2-  1 5+ -1 -3  7  6  1
Curve Equation t Generators 18800z1 [0,1,0,-176908,-28646312] 1 [-51042:29375:216] 18800z2 [0,1,0,-787908,243013688] 1 [23860914:353515625:74088]
18800ba (1 curve)	1	2- 5+ 47-	2- -1 5+  1  3  3  6  7
Curve Equation t Generators 18800ba1 [0,-1,0,-2008,-17488] 1 [-38:50:1]
18800bb (1 curve)	1	2- 5+ 47-	2- -1 5+  1 -3 -3 -6  1
Curve Equation t Generators 18800bb1 [0,-1,0,-1420408,652043312] 1 [-238:31250:1]
18800bc (1 curve)	1	2- 5+ 47-	2- -1 5+ -1 -1  5  0 -5
Curve Equation t Generators 18800bc1 [0,-1,0,-39008,-2559488] 1 [-78:50:1]
18800bd (1 curve)	1	2- 5+ 47-	2- -1 5+ -3  5  1 -2  1
Curve Equation t Generators 18800bd1 [0,-1,0,-4408,-108688] 1 [-38:50:1]
18800be (1 curve)	1	2- 5+ 47-	2- -1 5+ -4 -1 -4  3 -5
Curve Equation t Generators 18800be1 [0,-1,0,192,-128] 1 [18:94:1]
18800bf (1 curve)	1	2- 5+ 47-	2-  2 5+  2 -4 -1  0  4
Curve Equation t Generators 18800bf1 [0,-1,0,-1133,15137] 1 [37:150:1]
18800bg (1 curve)	1	2- 5+ 47-	2-  2 5+ -2  0 -3  0  4
Curve Equation t Generators 18800bg1 [0,-1,0,1467,-20563] 1 [444:2375:27]
18800bh (2 curves)	1	2- 5- 47+	2-  0 5-  0 -4  4  0 -4
Curve Equation t Generators 18800bh1 [0,0,0,-3680,-85925] 2 [41970:3039725:8] 18800bh2 [0,0,0,-3655,-87150] 2 [11526009170:-834784627773:2197000]
18800bi (2 curves)	1	2- 5- 47+	2-  1 5- -3  3 -1 -2 -5
Curve Equation t Generators 18800bi1 [0,1,0,-62048,5928308] 1 [143:10:1] 18800bi2 [0,1,0,-142448,-12290092] 1 [-97:790:1]
18800bj (1 curve)	1	2- 5- 47+	2-  1 5-  4 -1  4 -3 -5
Curve Equation t Generators 18800bj1 [0,1,0,4792,-6412] 1 [182:2632:1]
18800bk (1 curve)	1	2- 5- 47+	2- -1 5- -3  3 -5  4 -5
Curve Equation t Generators 18800bk1 [0,-1,0,-1708,-25588] 1 [-214:125:8]
18800bl (1 curve)	1	2- 5- 47+	2- -2 5-  0 -6 -1  4  4
Curve Equation t Generators 18800bl1 [0,1,0,27,-17] 1 [3:10:1]
18800bm (1 curve)	1	2- 5- 47+	2- -3 5- -3  5  1  6  5
Curve Equation t Generators 18800bm1 [0,0,0,-2875,6250] 1 [-25:250:1]
18800bn (2 curves)	0	2- 5- 47-	2-  0 5-  0 -4 -4  0 -4
Curve Equation t 18800bn1 [0,0,0,-92000,-10740625] 2 18800bn2 [0,0,0,-91375,-10893750] 2
18800bo (1 curve)	0	2- 5- 47-	2-  1 5-  3  3  5 -4 -5
Curve Equation t 18800bo1 [0,1,0,-68,-232] 1
18800bp (1 curve)	0	2- 5- 47-	2-  1 5- -4 -5  4  5 -1
Curve Equation t 18800bp1 [0,1,0,-307208,-66150412] 1
18800bq (2 curves)	0	2- 5- 47-	2- -1 5-  1  0  2  3 -2
Curve Equation t 18800bq1 [0,-1,0,-458,-3713] 1 18800bq2 [0,-1,0,2042,-16213] 1
18800br (2 curves)	0	2- 5- 47-	2- -1 5-  3  3  1  2 -5
Curve Equation t 18800br1 [0,-1,0,-1551208,744140912] 1 18800br2 [0,-1,0,-3561208,-1529139088] 1
18800bs (1 curve)	0	2- 5- 47-	2-  2 5-  0 -6  1 -4  4
Curve Equation t 18800bs1 [0,-1,0,667,-3463] 1
18800bt (1 curve)	0	2- 5- 47-	2-  3 5-  3  5 -1 -6  5
Curve Equation t 18800bt1 [0,0,0,-115,50] 1

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