Cremona's table of elliptic curves

4080 = 2⁴ · 3 · 5 · 17

Class	r	Atkin-Lehner	Eigenvalues
4080a (4 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  0  4 -2 17+ -4
Curve Equation t Generators 4080a1 [0,-1,0,9,30] 2 [14:52:1] 4080a2 [0,-1,0,-116,480] 4 [-7:30:1] 4080a3 [0,-1,0,-416,-2640] 2 [-11:22:1] 4080a4 [0,-1,0,-1816,30400] 2 [16:72:1]
4080b (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -1 -5  2 17+  1
Curve Equation t Generators 4080b1 [0,-1,0,-16,31] 1 [3:1:1]
4080c (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  3 -5 -2 17+  5
Curve Equation t Generators 4080c1 [0,-1,0,-516,-4869] 1 [443:9301:1]
4080d (4 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  4  0  2 17+ -4
Curve Equation t Generators 4080d1 [0,-1,0,-20236,-33628064] 2 [1238131197079020:-7445500609661912:3465573357637] 4080d2 [0,-1,0,-1690656,-836766000] 4 [-40988008:45086524:50653] 4080d3 [0,-1,0,-26972376,-53908152624] 2 [-106724813333295430:-1639755421581922:35588563225957] 4080d4 [0,-1,0,-3135656,807066000] 2 [256:4588:1]
4080e (1 curve)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  1  5  4 17-  1
Curve Equation t 4080e1 [0,-1,0,2104,-114705] 1
4080f (1 curve)	0	2+ 3+ 5- 17+	2+ 3+ 5-  1  3 -4 17+  5
Curve Equation t 4080f1 [0,-1,0,-220,-1193] 1
4080g (2 curves)	0	2+ 3+ 5- 17+	2+ 3+ 5-  2  0  0 17+ -4
Curve Equation t 4080g1 [0,-1,0,-40,-128] 2 4080g2 [0,-1,0,-720,-7200] 2
4080h (1 curve)	0	2+ 3+ 5- 17+	2+ 3+ 5- -3 -5  0 17+  1
Curve Equation t 4080h1 [0,-1,0,-95480,11387667] 1
4080i (2 curves)	1	2+ 3+ 5- 17-	2+ 3+ 5- -2 -4  4 17-  4
Curve Equation t Generators 4080i1 [0,-1,0,80,400] 2 [0:20:1] 4080i2 [0,-1,0,-600,4752] 2 [-16:100:1]
4080j (1 curve)	1	2+ 3+ 5- 17-	2+ 3+ 5-  3  1 -6 17-  1
Curve Equation t Generators 4080j1 [0,-1,0,-2840,-81813] 1 [79:425:1]
4080k (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  0  0 -2 17+ -4
Curve Equation t 4080k1 [0,1,0,-31,-76] 2 4080k2 [0,1,0,-76,140] 4 4080k3 [0,1,0,-1096,13604] 2 4080k4 [0,1,0,224,1220] 2
4080l (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  0  4  6 17+ -4
Curve Equation t 4080l1 [0,1,0,-951,-9576] 2 4080l2 [0,1,0,-4596,109980] 4 4080l3 [0,1,0,-72096,7426980] 2 4080l4 [0,1,0,4584,502884] 2
4080m (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  3 -3  4 17+  5
Curve Equation t 4080m1 [0,1,0,7644,1273275] 1
4080n (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5- -3  1 -6 17+  5
Curve Equation t Generators 4080n1 [0,1,0,20,-25] 1 [5:15:1]
4080o (4 curves)	0	2+ 3- 5- 17-	2+ 3- 5-  0  0 -2 17-  4
Curve Equation t 4080o1 [0,1,0,-2295,-43092] 2 4080o2 [0,1,0,-2300,-42900] 4 4080o3 [0,1,0,-4000,27140] 4 4080o4 [0,1,0,-680,-100572] 4
4080p (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5-  3  3  4 17-  1
Curve Equation t 4080p1 [0,1,0,0,3] 1
4080q (4 curves)	0	2+ 3- 5- 17-	2+ 3- 5-  4 -4  2 17-  4
Curve Equation t 4080q1 [0,1,0,-340,-3652] 2 4080q2 [0,1,0,-6120,-186300] 4 4080q3 [0,1,0,-97920,-11826540] 2 4080q4 [0,1,0,-6800,-143052] 4
4080r (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  1  3 -4 17+  7
Curve Equation t 4080r1 [0,-1,0,-6,-9] 1 4080r2 [0,-1,0,54,195] 1
4080s (2 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+  0  2  2 17- -8
Curve Equation t Generators 4080s1 [0,-1,0,-440521,-112381580] 2 [8531505566177737522372:-456134175488690482715829:2827073966354846272] 4080s2 [0,-1,0,-407716,-129860084] 2 [67959385727519:1068911829843750:77254345979]
4080t (4 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+  0 -4  2 17-  4
Curve Equation t Generators 4080t1 [0,-1,0,64,0] 2 [1:8:1] 4080t2 [0,-1,0,-256,256] 4 [-14:30:1] 4080t3 [0,-1,0,-2656,-51584] 2 [-30:14:1] 4080t4 [0,-1,0,-2976,63360] 2 [8:200:1]
4080u (2 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+ -5 -3  2 17-  7
Curve Equation t Generators 4080u1 [0,-1,0,-86,375] 1 [1:17:1] 4080u2 [0,-1,0,-7226,238851] 1 [49:5:1]
4080v (4 curves)	1	2- 3+ 5- 17+	2- 3+ 5- -2  0 -4 17+  4
Curve Equation t Generators 4080v1 [0,-1,0,400,24000] 2 [10:170:1] 4080v2 [0,-1,0,-10480,398272] 2 [184:-2160:1] 4080v3 [0,-1,0,-52400,4635840] 2 [136:80:1] 4080v4 [0,-1,0,-838480,295799872] 2 [528:40:1]
4080w (2 curves)	0	2- 3+ 5- 17-	2- 3+ 5-  2 -4  0 17- -4
Curve Equation t 4080w1 [0,-1,0,-11560,488560] 2 4080w2 [0,-1,0,-185640,30848112] 2
4080x (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5-  5  5  0 17- -1
Curve Equation t 4080x1 [0,-1,0,-170,-6225] 1
4080y (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  1 -3 -2 17+ -1
Curve Equation t Generators 4080y1 [0,1,0,-6,75] 1 [-1:9:1]
4080z (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -2  0  4 17+ -4
Curve Equation t Generators 4080z1 [0,1,0,224,-3340] 2 [26:144:1] 4080z2 [0,1,0,-2496,-43596] 2 [-30:72:1]
4080ba (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+ -2  4  4 17-  4
Curve Equation t 4080ba1 [0,1,0,-42776,-4424556] 2 4080ba2 [0,1,0,-739096,-244794220] 2
4080bb (4 curves)	0	2- 3- 5+ 17-	2- 3- 5+  4  4 -2 17-  4
Curve Equation t 4080bb1 [0,1,0,-1616,-22380] 2 4080bb2 [0,1,0,-6736,188564] 4 4080bb3 [0,1,0,-104656,12996500] 2 4080bb4 [0,1,0,9264,962964] 4
4080bc (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  0  6  2 17+  8
Curve Equation t 4080bc1 [0,1,0,-25,38] 2 4080bc2 [0,1,0,20,200] 2
4080bd (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  3 -3 -4 17+ -1
Curve Equation t 4080bd1 [0,1,0,-1230,-17025] 1
4080be (8 curves)	1	2- 3- 5- 17-	2- 3- 5-  0 -4 -2 17- -4
Curve Equation t Generators 4080be1 [0,1,0,-1280,-22092] 2 [1025808:16088457:4096] 4080be2 [0,1,0,-21760,-1242700] 4 [1003:31416:1] 4080be3 [0,1,0,-348160,-79187020] 2 [370909:9761928:343] 4080be4 [0,1,0,-23040,-1089612] 8 [-69:420:1] 4080be5 [0,1,0,-115520,14114100] 8 [-305:4590:1] 4080be6 [0,1,0,48960,-6475212] 4 [891:27300:1] 4080be7 [0,1,0,-1815520,940954100] 8 [-1246:35640:1] 4080be8 [0,1,0,104800,61791348] 4 [-209:5550:1]
4080bf (1 curve)	1	2- 3- 5- 17-	2- 3- 5- -3 -1 -2 17- -1
Curve Equation t Generators 4080bf1 [0,1,0,30,-45] 1 [3:9:1]

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