Cremona's table of elliptic curves

8160 = 2⁵ · 3 · 5 · 17

Class	r	Atkin-Lehner	Eigenvalues
8160a (4 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  0  0 -2 17+  4
Curve Equation t Generators 8160a1 [0,-1,0,-186,-360] 4 [-10:20:1] 8160a2 [0,-1,0,-2481,-46719] 2 [1018:10375:8] 8160a3 [0,-1,0,-1536,23400] 2 [125:1330:1] 8160a4 [0,-1,0,664,-3420] 2 [90:585:8]
8160b (2 curves)	0	2+ 3+ 5+ 17-	2+ 3+ 5+ -2  4  4 17-  0
Curve Equation t 8160b1 [0,-1,0,34,0] 2 8160b2 [0,-1,0,-136,136] 2
8160c (2 curves)	2	2+ 3+ 5- 17+	2+ 3+ 5- -4 -6 -6 17+ -4
Curve Equation t Generators 8160c1 [0,-1,0,-2830,58900] 2 [-50:270:1]&[40:-90:1] 8160c2 [0,-1,0,-2785,60817] 2 [-56:195:1]&[-27:340:1]
8160d (2 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+  2 -4  4 17-  0
Curve Equation t Generators 8160d1 [0,1,0,34,0] 2 [1:6:1] 8160d2 [0,1,0,-136,-136] 2 [-10:18:1]
8160e (2 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+ -4  2  2 17-  4
Curve Equation t Generators 8160e1 [0,1,0,-86,84] 2 [-8:18:1] 8160e2 [0,1,0,319,975] 2 [7:60:1]
8160f (4 curves)	0	2+ 3- 5- 17-	2+ 3- 5-  0  4  6 17-  4
Curve Equation t 8160f1 [0,1,0,-850,9248] 4 8160f2 [0,1,0,-1105,2975] 2 8160f3 [0,1,0,-13600,605948] 2 8160f4 [0,1,0,-600,15048] 4
8160g (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+ -2  0  4 17+  8
Curve Equation t 8160g1 [0,-1,0,-6,-24] 2 8160g2 [0,-1,0,-176,-840] 2
8160h (2 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+  4 -2  2 17- -4
Curve Equation t Generators 8160h1 [0,-1,0,-86,-84] 2 [-5:14:1] 8160h2 [0,-1,0,319,-975] 2 [8:45:1]
8160i (4 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+ -4  4 -6 17-  0
Curve Equation t Generators 8160i1 [0,-1,0,-86,-264] 4 [-5:4:1] 8160i2 [0,-1,0,-1361,-18879] 2 [43:16:1] 8160i3 [0,-1,0,-256,1300] 2 [-12:50:1] 8160i4 [0,-1,0,64,-1224] 2 [25:124:1]
8160j (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  2  0  4 17+  0
Curve Equation t Generators 8160j1 [0,-1,0,-150,-183048] 2 [59:100:1] 8160j2 [0,-1,0,-49280,-4133100] 2 [-140:50:1]
8160k (4 curves)	0	2- 3+ 5- 17-	2- 3+ 5-  0 -4  6 17- -4
Curve Equation t 8160k1 [0,-1,0,-850,-9248] 4 8160k2 [0,-1,0,-13600,-605948] 2 8160k3 [0,-1,0,-1105,-2975] 4 8160k4 [0,-1,0,-600,-15048] 2
8160l (4 curves)	0	2- 3+ 5- 17-	2- 3+ 5-  4  4 -2 17- -8
Curve Equation t 8160l1 [0,-1,0,-310,-1400] 4 8160l2 [0,-1,0,-4560,-117000] 2 8160l3 [0,-1,0,-1840,29812] 4 8160l4 [0,-1,0,815,-10175] 4
8160m (4 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0  0 -2 17+ -4
Curve Equation t Generators 8160m1 [0,1,0,-186,360] 4 [-6:36:1] 8160m2 [0,1,0,-1536,-23400] 2 [-21:6:1] 8160m3 [0,1,0,-2481,46719] 2 [-21:300:1] 8160m4 [0,1,0,664,3420] 2 [31:234:1]
8160n (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  2  0  4 17+ -8
Curve Equation t Generators 8160n1 [0,1,0,-6,24] 2 [5:12:1] 8160n2 [0,1,0,-176,840] 2 [6:6:1]
8160o (4 curves)	0	2- 3- 5+ 17-	2- 3- 5+  4 -4 -6 17-  0
Curve Equation t 8160o1 [0,1,0,-86,264] 4 8160o2 [0,1,0,-256,-1300] 2 8160o3 [0,1,0,-1361,18879] 2 8160o4 [0,1,0,64,1224] 2
8160p (2 curves)	0	2- 3- 5- 17+	2- 3- 5- -2  0  4 17+  0
Curve Equation t 8160p1 [0,1,0,-150,183048] 2 8160p2 [0,1,0,-49280,4133100] 2
8160q (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  4  6 -6 17+  4
Curve Equation t 8160q1 [0,1,0,-2830,-58900] 2 8160q2 [0,1,0,-2785,-60817] 2
8160r (4 curves)	1	2- 3- 5- 17-	2- 3- 5- -4 -4 -2 17-  8
Curve Equation t Generators 8160r1 [0,1,0,-310,1400] 4 [-10:60:1] 8160r2 [0,1,0,-1840,-29812] 2 [71:450:1] 8160r3 [0,1,0,-4560,117000] 4 [-42:486:1] 8160r4 [0,1,0,815,10175] 4 [5:120:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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