Cremona's table of elliptic curves

4160 = 2⁶ · 5 · 13

Class	r	Atkin-Lehner	Eigenvalues
4160a (4 curves)	1	2+ 5+ 13+	2+  0 5+  0  0 13+  2  8
Curve Equation t Generators 4160a1 [0,0,0,-428,-1232] 2 [-3:5:1] 4160a2 [0,0,0,-5548,-158928] 4 [6456:518700:1] 4160a3 [0,0,0,-88748,-10176208] 2 [2215304:177841140:343] 4160a4 [0,0,0,-4268,-234192] 2 [182:2240:1]
4160b (4 curves)	1	2+ 5+ 13+	2+  2 5+ -4  6 13+ -6 -2
Curve Equation t Generators 4160b1 [0,-1,0,-2081,37025] 2 [16:87:1] 4160b2 [0,-1,0,-801,80801] 2 [185:2496:1] 4160b3 [0,-1,0,-13281,-561055] 2 [-351152:658329:4913] 4160b4 [0,-1,0,7199,-2154399] 2 [18867:500480:27]
4160c (2 curves)	1	2+ 5+ 13+	2+ -2 5+  0 -2 13+  2 -2
Curve Equation t Generators 4160c1 [0,1,0,-81,-305] 2 [-6:1:1] 4160c2 [0,1,0,-1,-801] 2 [19:80:1]
4160d (4 curves)	1	2+ 5- 13-	2+  0 5-  0  4 13- -6 -4
Curve Equation t Generators 4160d1 [0,0,0,-92,336] 2 [-10:16:1] 4160d2 [0,0,0,-172,-336] 4 [-11:15:1] 4160d3 [0,0,0,-2252,-41104] 2 [62:240:1] 4160d4 [0,0,0,628,-2576] 4 [183:1205:27]
4160e (2 curves)	1	2+ 5- 13-	2+  0 5-  2 -2 13- -2  2
Curve Equation t Generators 4160e1 [0,0,0,-107,444] 2 [8:10:1] 4160e2 [0,0,0,-1732,27744] 2 [8:120:1]
4160f (2 curves)	1	2+ 5- 13-	2+  0 5- -2  2 13- -2 -2
Curve Equation t Generators 4160f1 [0,0,0,-107,-444] 2 [32:170:1] 4160f2 [0,0,0,-1732,-27744] 2 [386:255:8]
4160g (2 curves)	1	2+ 5- 13-	2+  2 5- -4 -2 13-  2  6
Curve Equation t Generators 4160g1 [0,-1,0,-65,65] 2 [-8:3:1] 4160g2 [0,-1,0,255,257] 2 [17:96:1]
4160h (2 curves)	1	2+ 5- 13-	2+ -2 5-  2 -4 13-  2  0
Curve Equation t Generators 4160h1 [0,1,0,-1125,14155] 2 [3:104:1] 4160h2 [0,1,0,-1105,14703] 2 [13:52:1]
4160i (2 curves)	1	2+ 5- 13-	2+ -2 5- -4  2 13-  2 -6
Curve Equation t Generators 4160i1 [0,1,0,-53825,-4823777] 2 [-134:25:1] 4160i2 [0,1,0,-48705,-5773025] 2 [315:3200:1]
4160j (4 curves)	0	2- 5+ 13+	2-  0 5+  0  0 13+  2 -8
Curve Equation t 4160j1 [0,0,0,-428,1232] 2 4160j2 [0,0,0,-5548,158928] 4 4160j3 [0,0,0,-88748,10176208] 2 4160j4 [0,0,0,-4268,234192] 2
4160k (4 curves)	0	2- 5+ 13+	2-  0 5+  4 -4 13+  2  4
Curve Equation t 4160k1 [0,0,0,-23,328] 2 4160k2 [0,0,0,-868,9792] 4 4160k3 [0,0,0,-1388,-3312] 2 4160k4 [0,0,0,-13868,628592] 2
4160l (4 curves)	0	2- 5+ 13+	2-  0 5+ -4  4 13+  2 -4
Curve Equation t 4160l1 [0,0,0,-23,-328] 2 4160l2 [0,0,0,-868,-9792] 4 4160l3 [0,0,0,-13868,-628592] 2 4160l4 [0,0,0,-1388,3312] 2
4160m (2 curves)	0	2- 5+ 13+	2-  2 5+  0  2 13+  2  2
Curve Equation t 4160m1 [0,-1,0,-81,305] 2 4160m2 [0,-1,0,-1,801] 2
4160n (4 curves)	0	2- 5+ 13+	2- -2 5+  4 -6 13+ -6  2
Curve Equation t 4160n1 [0,1,0,-2081,-37025] 2 4160n2 [0,1,0,-801,-80801] 2 4160n3 [0,1,0,-13281,561055] 2 4160n4 [0,1,0,7199,2154399] 2
4160o (4 curves)	0	2- 5- 13-	2-  0 5-  0 -4 13- -6  4
Curve Equation t 4160o1 [0,0,0,-92,-336] 2 4160o2 [0,0,0,-172,336] 4 4160o3 [0,0,0,-2252,41104] 4 4160o4 [0,0,0,628,2576] 2
4160p (2 curves)	0	2- 5- 13-	2-  2 5- -2  4 13-  2  0
Curve Equation t 4160p1 [0,-1,0,-1125,-14155] 2 4160p2 [0,-1,0,-1105,-14703] 2
4160q (2 curves)	0	2- 5- 13-	2-  2 5-  4 -2 13-  2  6
Curve Equation t 4160q1 [0,-1,0,-53825,4823777] 2 4160q2 [0,-1,0,-48705,5773025] 2
4160r (2 curves)	0	2- 5- 13-	2-  2 5- -4  6 13- -6  6
Curve Equation t 4160r1 [0,-1,0,-20,50] 2 4160r2 [0,-1,0,-345,2585] 2
4160s (2 curves)	0	2- 5- 13-	2- -2 5-  4  2 13-  2 -6
Curve Equation t 4160s1 [0,1,0,-65,-65] 2 4160s2 [0,1,0,255,-257] 2
4160t (2 curves)	0	2- 5- 13-	2- -2 5-  4 -6 13- -6 -6
Curve Equation t 4160t1 [0,1,0,-20,-50] 2 4160t2 [0,1,0,-345,-2585] 2

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