Cremona's table of elliptic curves

10005 = 3 · 5 · 23 · 29

Class	r	Atkin-Lehner	Eigenvalues
10005a (1 curve)	1	3+ 5+ 23+ 29+	0 3+ 5+ -5  0 -4  3 -7
Curve Equation t Generators 10005a1 [0,-1,1,-51,-124] 1 [-4:0:1]
10005b (1 curve)	1	3+ 5+ 23- 29-	0 3+ 5+  1  4  0 -5 -5
Curve Equation t Generators 10005b1 [0,-1,1,-609991,183560811] 1 [405:1667:1]
10005c (1 curve)	1	3+ 5+ 23- 29-	2 3+ 5+  1 -2  0  3  5
Curve Equation t Generators 10005c1 [0,-1,1,-16,-3] 1 [-6:19:8]
10005d (4 curves)	1	3+ 5- 23+ 29-	1 3+ 5-  0  4 -2 -6  4
Curve Equation t Generators 10005d1 [1,1,0,43,216] 2 [-1080:6183:512] 10005d2 [1,1,0,-362,2079] 4 [158:1901:1] 10005d3 [1,1,0,-1667,-24804] 2 [-28:44:1] 10005d4 [1,1,0,-5537,156294] 4 [1310:14679:8]
10005e (4 curves)	1	3+ 5- 23+ 29-	-1 3+ 5-  0  0  6  6 -4
Curve Equation t Generators 10005e1 [1,1,1,-5250,-144690] 4 [58044:643719:343] 10005e2 [1,1,1,-83375,-9300940] 4 [678:15358:1] 10005e3 [1,1,1,-1334000,-593592940] 2 [1403:16588:1] 10005e4 [1,1,1,-82750,-9446440] 2 [398:4368:1]
10005f (2 curves)	1	3+ 5- 23+ 29-	-1 3+ 5- -4  6 -6  0 -4
Curve Equation t Generators 10005f1 [1,1,1,-40,80] 2 [-2:13:1] 10005f2 [1,1,1,-15,210] 2 [0:14:1]
10005g (2 curves)	1	3+ 5- 23- 29+	1 3+ 5-  4  6 -6  0 -2
Curve Equation t Generators 10005g1 [1,1,0,-6747,-248544] 2 [11828:135171:64] 10005g2 [1,1,0,-112452,-14561001] 2 [1338:46581:1]
10005h (2 curves)	1	3+ 5- 23- 29+	-1 3+ 5- -4  2  2  4 -6
Curve Equation t Generators 10005h1 [1,1,1,-75,360] 2 [-2:23:1] 10005h2 [1,1,1,-1380,19152] 2 [-8:176:1]
10005i (2 curves)	1	3- 5+ 23+ 29-	0 3- 5+ -1  0 -4 -3 -1
Curve Equation t Generators 10005i1 [0,1,1,-124021,14938111] 3 [-181:5611:1] 10005i2 [0,1,1,-2379061,-1411043480] 1 [-6902:1931:8]
10005j (2 curves)	1	3- 5+ 23+ 29-	1 3- 5+  0  2  2 -4  0
Curve Equation t Generators 10005j1 [1,0,1,-374,2747] 2 [15:16:1] 10005j2 [1,0,1,-349,3137] 2 [-5:71:1]
10005k (1 curve)	1	3- 5+ 23+ 29-	-2 3- 5+  3  2 -4 -7 -3
Curve Equation t Generators 10005k1 [0,1,1,-31666,-2179460] 1 [-103:4:1]
10005l (1 curve)	1	3- 5+ 23- 29+	0 3- 5+  2 -4 -5  7 -5
Curve Equation t Generators 10005l1 [0,1,1,-10597711,-13282563134] 1 [6632:456262:1]
10005m (1 curve)	1	3- 5+ 23- 29+	0 3- 5+ -3 -4  0 -3  5
Curve Equation t Generators 10005m1 [0,1,1,-104207741,135268278965] 1 [-7253:713854:1]
10005n (1 curve)	0	3- 5- 23+ 29-	0 3- 5-  1  0  4  7  5
Curve Equation t 10005n1 [0,1,1,-1305,12506] 1

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