Cremona's table of elliptic curves

41405 = 5 · 7² · 13²

Class	r	Atkin-Lehner	Eigenvalues
41405a (1 curve)	1	5+ 7+ 13+	1  2 5+ 7+  5 13+  5  1
Curve Equation t Generators 41405a1 [1,1,0,-8453,-4588618] 1 [3038:53411:8]
41405b (1 curve)	1	5+ 7+ 13+	1 -3 5+ 7+  0 13+  0  6
Curve Equation t Generators 41405b1 [1,-1,0,-41634280,103412470825] 1 [3936:20509:1]
41405c (1 curve)	1	5+ 7+ 13+	-1  3 5+ 7+  0 13+  4 -2
Curve Equation t Generators 41405c1 [1,-1,1,39852,36750172] 1 [66414:3275039:27]
41405d (3 curves)	0	5+ 7- 13+	0 -1 5+ 7-  3 13+ -3  2
Curve Equation t 41405d1 [0,-1,1,-11041,-491723] 1 41405d2 [0,-1,1,71769,1239006] 1 41405d3 [0,-1,1,-1087571,457033527] 1
41405e (1 curve)	0	5+ 7- 13+	1 -1 5+ 7-  4 13+  7 -6
Curve Equation t 41405e1 [1,1,0,-18008,948823] 1
41405f (2 curves)	0	5+ 7- 13+	1  2 5+ 7- -2 13+ -2 -6
Curve Equation t 41405f1 [1,1,0,-8453,-67192] 2 41405f2 [1,1,0,32952,-489523] 2
41405g (4 curves)	0	5+ 7- 13+	-1  0 5+ 7-  0 13+  2 -4
Curve Equation t 41405g1 [1,-1,1,-415603,-74099294] 2 41405g2 [1,-1,1,-2444448,1412638322] 4 41405g3 [1,-1,1,1323407,5371900356] 2 41405g4 [1,-1,1,-38673823,92580237572] 2
41405h (1 curve)	0	5+ 7- 13+	2 -3 5+ 7- -1 13+  3  6
Curve Equation t 41405h1 [0,0,1,-1183,26913] 1
41405i (1 curve)	0	5+ 7- 13+	2 -3 5+ 7- -3 13+ -6 -6
Curve Equation t 41405i1 [0,0,1,-107653,-71024067] 1
41405j (1 curve)	0	5+ 7- 13+	-2  0 5+ 7- -3 13+ -1 -2
Curve Equation t 41405j1 [0,0,1,-107653,683300504] 1
41405k (1 curve)	0	5+ 7- 13+	-2 -1 5+ 7- -5 13+ -2  6
Curve Equation t 41405k1 [0,-1,1,-466496,-281673078] 1
41405l (4 curves)	1	5- 7- 13+	1  0 5- 7-  0 13+  6  0
Curve Equation t Generators 41405l1 [1,-1,0,-552239,-157805712] 2 [314541684:5915352078:300763] 41405l2 [1,-1,0,-593644,-132739125] 4 [6224296540050990:115962065852303789:5919918129000] 41405l3 [1,-1,0,1435201,-844052182] 2 [2478388:486698451:64] 41405l4 [1,-1,0,-3284969,2182338640] 2 [-44959164:-1060310854:24389]
41405m (1 curve)	1	5- 7- 13+	1 -2 5- 7-  5 13+ -5 -1
Curve Equation t Generators 41405m1 [1,0,1,-173,13353] 1 [27:155:1]
41405n (1 curve)	1	5- 7- 13+	1  3 5- 7-  0 13+  0 -6
Curve Equation t Generators 41405n1 [1,-1,0,-2040079729,-35466397333522] 1 [2330592924873108687006166737218859402:-593052461718784421205642945058216162826:25568993305108797336901548103581]
41405o (1 curve)	1	5- 7- 13+	-1 -1 5- 7- -4 13+  7  6
Curve Equation t Generators 41405o1 [1,1,1,-3043440,2099781172] 1 [8182:720496:1]
41405p (1 curve)	1	5- 7- 13+	-1 -3 5- 7-  0 13+ -4  2
Curve Equation t Generators 41405p1 [1,-1,1,813,-107376] 1 [62:391:1]
41405q (1 curve)	1	5- 7- 13+	2  0 5- 7-  3 13+ -1  2
Curve Equation t Generators 41405q1 [0,0,1,-637,311015] 1 [-1148:35983:64]
41405r (1 curve)	1	5- 7- 13+	2 -1 5- 7-  5 13+ -2 -6
Curve Equation t Generators 41405r1 [0,-1,1,-2760,-127359] 1 [7908:75771:64]
41405s (1 curve)	1	5- 7- 13+	2  3 5- 7- -1 13+ -3 -6
Curve Equation t Generators 41405s1 [0,0,1,-57967,-9231245] 1 [3141623751484638:-1210465527666630463:21161991096]
41405t (1 curve)	1	5- 7- 13+	-2 -3 5- 7-  3 13+ -6  6
Curve Equation t Generators 41405t1 [0,0,1,-637,-32328] 1 [77:-613:1]

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