Cremona's table of elliptic curves

13005 = 3² · 5 · 17²

Class	r	Atkin-Lehner	Eigenvalues
13005a (1 curve)	1	3+ 5+ 17+	-1 3+ 5+ -1  2 -7 17+ -3
Curve Equation t Generators 13005a1 [1,-1,1,610747,124217912] 1 [1698:76963:1]
13005b (2 curves)	1	3+ 5+ 17+	-1 3+ 5+ -4  2  2 17+  0
Curve Equation t Generators 13005b1 [1,-1,1,-4823,-135898] 2 [1356:49174:1] 13005b2 [1,-1,1,-78518,-8448694] 2 [370:3427:1]
13005c (1 curve)	0	3+ 5+ 17-	1 3+ 5+  1  2 -7 17- -3
Curve Equation t 13005c1 [1,-1,0,19020,-688249] 1
13005d (1 curve)	0	3+ 5- 17+	1 3+ 5- -1 -2 -7 17+ -3
Curve Equation t 13005d1 [1,-1,0,5496726,-3359380357] 1
13005e (2 curves)	0	3+ 5- 17+	1 3+ 5- -4 -2  2 17+  0
Curve Equation t 13005e1 [1,-1,0,-43404,3712643] 2 13005e2 [1,-1,0,-706659,228821390] 2
13005f (1 curve)	1	3+ 5- 17-	-1 3+ 5-  1 -2 -7 17- -3
Curve Equation t Generators 13005f1 [1,-1,1,2113,24786] 1 [-4:129:1]
13005g (2 curves)	0	3- 5+ 17+	0 3- 5+ -2 -3 -4 17+  5
Curve Equation t 13005g1 [0,0,1,-11525898,-919712372] 1 13005g2 [0,0,1,-620393988,5947660640119] 1
13005h (1 curve)	0	3- 5+ 17+	0 3- 5+ -2  5  4 17+  5
Curve Equation t 13005h1 [0,0,1,-408,-3141] 1
13005i (2 curves)	0	3- 5+ 17+	-1 3- 5+  2  2  2 17+  0
Curve Equation t 13005i1 [1,-1,1,-22163,1268642] 2 13005i2 [1,-1,1,-9158,2735606] 2
13005j (1 curve)	0	3- 5+ 17+	-1 3- 5+  5  2  2 17+  6
Curve Equation t 13005j1 [1,-1,1,22,-34] 1
13005k (1 curve)	0	3- 5+ 17+	2 3- 5+ -4 -1 -4 17+ -3
Curve Equation t 13005k1 [0,0,1,-5763,24093] 1
13005l (2 curves)	1	3- 5+ 17-	0 3- 5+  2  3  2 17- -7
Curve Equation t Generators 13005l1 [0,0,1,-29478,1524258] 1 [2:1210:1] 13005l2 [0,0,1,-2240328,1290670893] 3 [781002581:-391584623:912673]
13005m (2 curves)	1	3- 5- 17+	0 3- 5- -2 -3  2 17+ -7
Curve Equation t Generators 13005m1 [0,0,1,-102,310] 1 [-2:22:1] 13005m2 [0,0,1,-7752,262705] 1 [49:22:1]
13005n (8 curves)	1	3- 5- 17+	1 3- 5-  0 -4 -2 17+  4
Curve Equation t Generators 13005n1 [1,-1,0,-54,-24705] 2 [2790:50625:8] 13005n2 [1,-1,0,-13059,-563112] 4 [104776:1623812:343] 13005n3 [1,-1,0,-208134,-36495927] 2 [-3284689176:1647015093:12487168] 13005n4 [1,-1,0,-26064,755595] 4 [1186:39867:1] 13005n5 [1,-1,0,-351189,80151120] 4 [78964:2458923:64] 13005n6 [1,-1,0,90981,5601258] 2 [-38:1464:1] 13005n7 [1,-1,0,-5618214,5127014475] 2 [782732284:11837169177:438976] 13005n8 [1,-1,0,-286164,110699865] 2 [-2015705706:223789927719:18821096]
13005o (2 curves)	0	3- 5- 17-	0 3- 5-  2  3 -4 17-  5
Curve Equation t 13005o1 [0,0,1,-39882,-187200] 1 13005o2 [0,0,1,-2146692,1210596507] 3
13005p (1 curve)	0	3- 5- 17-	0 3- 5-  2 -5  4 17-  5
Curve Equation t 13005p1 [0,0,1,-117912,-15430505] 1
13005q (1 curve)	0	3- 5- 17-	-1 3- 5- -5 -2  2 17-  6
Curve Equation t 13005q1 [1,-1,1,6448,-139944] 1
13005r (1 curve)	0	3- 5- 17-	2 3- 5-  4  1 -4 17- -3
Curve Equation t 13005r1 [0,0,1,-1665507,118370137] 1

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