Cremona's table of elliptic curves

38080 = 2⁶ · 5 · 7 · 17

Class	r	Atkin-Lehner	Eigenvalues
38080a (2 curves)	1	2+ 5+ 7+ 17+	2+  0 5+ 7+ -2  2 17+ -4
Curve Equation t Generators 38080a1 [0,0,0,37,212] 2 [16:70:1] 38080a2 [0,0,0,-388,2592] 2 [-8:72:1]
38080b (2 curves)	1	2+ 5+ 7+ 17+	2+  0 5+ 7+  6 -4 17+ -2
Curve Equation t Generators 38080b1 [0,0,0,-6508,-218832] 2 [4974662:-105793125:10648] 38080b2 [0,0,0,-106508,-13378832] 2 [1869:79475:1]
38080c (1 curve)	1	2+ 5+ 7+ 17+	2+  1 5+ 7+  2  5 17+  3
Curve Equation t Generators 38080c1 [0,1,0,-57281,5269919] 1 [137:112:1]
38080d (4 curves)	0	2+ 5+ 7+ 17-	2+  0 5+ 7+  0  2 17-  4
Curve Equation t 38080d1 [0,0,0,-143,-12] 2 38080d2 [0,0,0,-1588,-24288] 4 38080d3 [0,0,0,-908,-45232] 2 38080d4 [0,0,0,-25388,-1557008] 2
38080e (1 curve)	0	2+ 5+ 7+ 17-	2+ -1 5+ 7+  2  3 17- -1
Curve Equation t 38080e1 [0,-1,0,33439,-21918239] 1
38080f (1 curve)	0	2+ 5+ 7+ 17-	2+ -2 5+ 7+  2 -7 17-  2
Curve Equation t 38080f1 [0,1,0,-7141,230019] 1
38080g (2 curves)	0	2+ 5+ 7- 17+	2+  0 5+ 7-  2  2 17+  4
Curve Equation t 38080g1 [0,0,0,37,-212] 2 38080g2 [0,0,0,-388,-2592] 2
38080h (2 curves)	0	2+ 5+ 7- 17+	2+  2 5+ 7- -6 -5 17+ -2
Curve Equation t 38080h1 [0,-1,0,139,365] 1 38080h2 [0,-1,0,-1461,-27475] 1
38080i (1 curve)	0	2+ 5+ 7- 17+	2+ -3 5+ 7- -6  1 17+ -5
Curve Equation t 38080i1 [0,0,0,-7468,-285392] 1
38080j (4 curves)	1	2+ 5+ 7- 17-	2+  0 5+ 7-  0  2 17- -4
Curve Equation t Generators 38080j1 [0,0,0,-143,12] 2 [24:102:1] 38080j2 [0,0,0,-1588,24288] 4 [-12:204:1] 38080j3 [0,0,0,-908,45232] 2 [6:-200:1] 38080j4 [0,0,0,-25388,1557008] 2 [128:636:1]
38080k (2 curves)	1	2+ 5+ 7- 17-	2+ -1 5+ 7- -6  7 17- -5
Curve Equation t Generators 38080k1 [0,-1,0,-2721,-197855] 1 [249:3808:1] 38080k2 [0,-1,0,-356321,-81748895] 1 [969:21952:1]
38080l (1 curve)	1	2+ 5+ 7- 17-	2+ -2 5+ 7-  2  1 17- -2
Curve Equation t Generators 38080l1 [0,1,0,-1,9] 1 [0:3:1]
38080m (1 curve)	0	2+ 5- 7+ 17+	2+  0 5- 7+  4  1 17+ -2
Curve Equation t 38080m1 [0,0,0,-122,-614] 1
38080n (1 curve)	0	2+ 5- 7+ 17+	2+  1 5- 7+ -2 -1 17+ -1
Curve Equation t 38080n1 [0,1,0,-26145,-5766337] 1
38080o (1 curve)	0	2+ 5- 7+ 17+	2+ -2 5- 7+  2 -1 17+ -6
Curve Equation t 38080o1 [0,1,0,-18725,-1042877] 1
38080p (2 curves)	1	2+ 5- 7+ 17-	2+  0 5- 7+ -2 -2 17- -4
Curve Equation t Generators 38080p1 [0,0,0,-5114507,4461392644] 2 [3168:141610:1] 38080p2 [0,0,0,-81880132,285177930144] 2 [5208:2040:1]
38080q (4 curves)	1	2+ 5- 7+ 17-	2+  0 5- 7+  4 -2 17-  8
Curve Equation t Generators 38080q1 [0,0,0,-282092,107535024] 2 [-3150:100419:8] 38080q2 [0,0,0,-5524972,4995996336] 4 [-1643:98175:1] 38080q3 [0,0,0,-6548972,3014761136] 2 [-2458:65280:1] 38080q4 [0,0,0,-88387052,319838755504] 4 [7225064:62220:1331]
38080r (1 curve)	1	2+ 5- 7+ 17-	2+  1 5- 7+ -2  5 17-  5
Curve Equation t Generators 38080r1 [0,1,0,-225,1343] 1 [13:28:1]
38080s (1 curve)	1	2+ 5- 7+ 17-	2+ -2 5- 7+ -2  1 17- -6
Curve Equation t Generators 38080s1 [0,1,0,-39985,3071025] 1 [80:625:1]
38080t (1 curve)	1	2+ 5- 7+ 17-	2+  3 5- 7+ -2  1 17- -1
Curve Equation t Generators 38080t1 [0,0,0,788,-2896] 1 [300:2296:27]
38080u (1 curve)	1	2+ 5- 7- 17+	2+  0 5- 7- -4  1 17+  2
Curve Equation t Generators 38080u1 [0,0,0,-122,614] 1 [13:35:1]
38080v (1 curve)	1	2+ 5- 7- 17+	2+ -2 5- 7- -6 -1 17+  6
Curve Equation t Generators 38080v1 [0,1,0,1735,-74975] 1 [40:245:1]
38080w (2 curves)	0	2+ 5- 7- 17-	2+  0 5- 7-  2 -2 17-  4
Curve Equation t 38080w1 [0,0,0,-5114507,-4461392644] 2 38080w2 [0,0,0,-81880132,-285177930144] 2
38080x (2 curves)	0	2+ 5- 7- 17-	2+  0 5- 7- -2  0 17-  6
Curve Equation t 38080x1 [0,0,0,-9292,-1543824] 2 38080x2 [0,0,0,-265292,-52436624] 2
38080y (1 curve)	0	2+ 5- 7- 17-	2+ -1 5- 7-  2  5 17- -5
Curve Equation t 38080y1 [0,-1,0,-225,-1343] 1
38080z (1 curve)	0	2- 5+ 7+ 17+	2-  0 5+ 7+  0 -3 17+ -2
Curve Equation t 38080z1 [0,0,0,-1958,-33458] 1
38080ba (2 curves)	0	2- 5+ 7+ 17+	2- -2 5+ 7+  6 -5 17+  2
Curve Equation t 38080ba1 [0,1,0,139,-365] 1 38080ba2 [0,1,0,-1461,27475] 1
38080bb (1 curve)	0	2- 5+ 7+ 17+	2-  3 5+ 7+  6  1 17+  5
Curve Equation t 38080bb1 [0,0,0,-7468,285392] 1
38080bc (2 curves)	1	2- 5+ 7+ 17-	2-  0 5+ 7+  6 -4 17-  2
Curve Equation t Generators 38080bc1 [0,0,0,92,-768] 2 [38:240:1] 38080bc2 [0,0,0,-908,-9168] 2 [-19:35:1]
38080bd (2 curves)	1	2- 5+ 7+ 17-	2-  1 5+ 7+  6  7 17-  5
Curve Equation t Generators 38080bd1 [0,1,0,-2721,197855] 1 [-11:476:1] 38080bd2 [0,1,0,-356321,81748895] 1 [8823:15092:27]
38080be (1 curve)	1	2- 5+ 7+ 17-	2-  2 5+ 7+ -2  1 17-  2
Curve Equation t Generators 38080be1 [0,-1,0,-1,-9] 1 [90:849:1]
38080bf (1 curve)	1	2- 5+ 7- 17+	2-  0 5+ 7-  0 -3 17+  2
Curve Equation t Generators 38080bf1 [0,0,0,-1958,33458] 1 [13:101:1]
38080bg (2 curves)	1	2- 5+ 7- 17+	2-  0 5+ 7- -6 -4 17+  2
Curve Equation t Generators 38080bg1 [0,0,0,-6508,218832] 2 [34:192:1] 38080bg2 [0,0,0,-106508,13378832] 2 [181:175:1]
38080bh (1 curve)	1	2- 5+ 7- 17+	2- -1 5+ 7- -2  5 17+ -3
Curve Equation t Generators 38080bh1 [0,-1,0,-57281,-5269919] 1 [4133:265216:1]
38080bi (2 curves)	2	2- 5+ 7- 17-	2-  0 5+ 7- -6 -4 17- -2
Curve Equation t Generators 38080bi1 [0,0,0,92,768] 2 [-2:24:1]&[12:60:1] 38080bi2 [0,0,0,-908,9168] 2 [-22:136:1]&[-16:140:1]
38080bj (1 curve)	0	2- 5+ 7- 17-	2-  1 5+ 7- -2  3 17-  1
Curve Equation t 38080bj1 [0,1,0,33439,21918239] 1
38080bk (1 curve)	0	2- 5+ 7- 17-	2-  2 5+ 7- -2 -7 17- -2
Curve Equation t 38080bk1 [0,-1,0,-7141,-230019] 1
38080bl (4 curves)	1	2- 5- 7+ 17+	2-  0 5- 7+  4  2 17+ -4
Curve Equation t Generators 38080bl1 [0,0,0,-167,-824] 2 [984:5500:27] 38080bl2 [0,0,0,-292,576] 4 [0:24:1] 38080bl3 [0,0,0,1108,4496] 2 [140:1704:1] 38080bl4 [0,0,0,-3692,86256] 2 [1170:13083:8]
38080bm (1 curve)	1	2- 5- 7+ 17+	2-  2 5- 7+  6 -1 17+ -6
Curve Equation t Generators 38080bm1 [0,-1,0,1735,74975] 1 [130:1575:1]
38080bn (2 curves)	0	2- 5- 7+ 17-	2-  0 5- 7+  2  0 17- -6
Curve Equation t 38080bn1 [0,0,0,-9292,1543824] 2 38080bn2 [0,0,0,-265292,52436624] 2
38080bo (4 curves)	0	2- 5- 7- 17+	2-  0 5- 7- -4  2 17+  4
Curve Equation t 38080bo1 [0,0,0,-167,824] 2 38080bo2 [0,0,0,-292,-576] 4 38080bo3 [0,0,0,1108,-4496] 2 38080bo4 [0,0,0,-3692,-86256] 2
38080bp (1 curve)	0	2- 5- 7- 17+	2- -1 5- 7-  2 -1 17+  1
Curve Equation t 38080bp1 [0,-1,0,-26145,5766337] 1
38080bq (1 curve)	0	2- 5- 7- 17+	2-  2 5- 7- -2 -1 17+  6
Curve Equation t 38080bq1 [0,-1,0,-18725,1042877] 1
38080br (4 curves)	1	2- 5- 7- 17-	2-  0 5- 7- -4 -2 17- -8
Curve Equation t Generators 38080br1 [0,0,0,-282092,-107535024] 2 [25861548:3161762765:1728] 38080br2 [0,0,0,-5524972,-4995996336] 4 [59868:14637000:1] 38080br3 [0,0,0,-6548972,-3014761136] 4 [-1520:58548:1] 38080br4 [0,0,0,-88387052,-319838755504] 2 [4146146812:1003678725000:68921]
38080bs (1 curve)	1	2- 5- 7- 17-	2-  2 5- 7-  2  1 17-  6
Curve Equation t Generators 38080bs1 [0,-1,0,-39985,-3071025] 1 [1170:39375:1]
38080bt (1 curve)	1	2- 5- 7- 17-	2- -3 5- 7-  2  1 17-  1
Curve Equation t Generators 38080bt1 [0,0,0,788,2896] 1 [90:896:1]

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