Cremona's table of elliptic curves

40800 = 2⁵ · 3 · 5² · 17

Class	r	Atkin-Lehner	Eigenvalues
40800a (4 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  0  4  2 17+  0
Curve Equation t Generators 40800a1 [0,-1,0,-2558,50112] 4 [-18:300:1] 40800a2 [0,-1,0,-433,128737] 2 [1034:11907:8] 40800a3 [0,-1,0,-4808,-48888] 2 [-27:246:1] 40800a4 [0,-1,0,-40808,3186612] 2 [92:450:1]
40800b (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -1  3  4 17+  3
Curve Equation t Generators 40800b1 [0,-1,0,-48,72] 1 [-7:4:1]
40800c (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -3 -3 -2 17+ -5
Curve Equation t Generators 40800c1 [0,-1,0,-95208,1901412] 1 [16:618:1]
40800d (4 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  4 -4  2 17+  8
Curve Equation t Generators 40800d1 [0,-1,0,-7758,190512] 4 [23:154:1] 40800d2 [0,-1,0,20367,1231137] 2 [-48:375:1] 40800d3 [0,-1,0,-46008,-3634488] 2 [-45661:115478:343] 40800d4 [0,-1,0,-114008,14853012] 2 [116:1782:1]
40800e (4 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -4 -4  6 17+  0
Curve Equation t Generators 40800e1 [0,-1,0,-2158,37312] 4 [-2:204:1] 40800e2 [0,-1,0,1592,149812] 2 [57:650:1] 40800e3 [0,-1,0,-6408,-149688] 2 [-27:54:1] 40800e4 [0,-1,0,-34033,2427937] 2 [123:296:1]
40800f (4 curves)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  0  0  2 17- -4
Curve Equation t 40800f1 [0,-1,0,-4658,54312] 4 40800f2 [0,-1,0,16592,394312] 2 40800f3 [0,-1,0,-38408,-2848188] 2 40800f4 [0,-1,0,-62033,5963937] 2
40800g (2 curves)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  2  0 -4 17-  0
Curve Equation t 40800g1 [0,-1,0,-3758,22888512] 2 40800g2 [0,-1,0,-1232008,519101512] 2
40800h (2 curves)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  2  0  6 17-  4
Curve Equation t 40800h1 [0,-1,0,-11458,475912] 2 40800h2 [0,-1,0,-11208,497412] 2
40800i (1 curve)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  2  3 -3 17- -5
Curve Equation t 40800i1 [0,-1,0,67,-2763] 1
40800j (1 curve)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  2 -5  1 17- -5
Curve Equation t 40800j1 [0,-1,0,6867,-42363] 1
40800k (2 curves)	2	2+ 3+ 5+ 17-	2+ 3+ 5+ -2  0 -4 17- -8
Curve Equation t Generators 40800k1 [0,-1,0,-158,3312] 2 [7:50:1]&[22:100:1] 40800k2 [0,-1,0,-4408,113812] 2 [-23:450:1]&[-12:406:1]
40800l (1 curve)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  4  6  2 17-  4
Curve Equation t 40800l1 [0,-1,0,-1208,-15768] 1
40800m (2 curves)	0	2+ 3+ 5+ 17-	2+ 3+ 5+ -4  6  6 17-  4
Curve Equation t 40800m1 [0,-1,0,-70758,-7220988] 2 40800m2 [0,-1,0,-69633,-7462863] 2
40800n (2 curves)	2	2+ 3+ 5- 17+	2+ 3+ 5-  0 -4 -4 17+  0
Curve Equation t Generators 40800n1 [0,-1,0,-118,532] 2 [-9:28:1]&[-8:30:1] 40800n2 [0,-1,0,-193,-143] 2 [-9:28:1]&[-3:20:1]
40800o (2 curves)	1	2+ 3+ 5- 17-	2+ 3+ 5-  0  4  4 17-  0
Curve Equation t Generators 40800o1 [0,-1,0,-2958,-60588] 2 [88:594:1] 40800o2 [0,-1,0,-4833,27537] 2 [101:748:1]
40800p (1 curve)	1	2+ 3+ 5- 17-	2+ 3+ 5- -1 -3 -4 17- -3
Curve Equation t Generators 40800p1 [0,-1,0,-1208,-6588] 1 [-8:50:1]
40800q (2 curves)	1	2+ 3+ 5- 17-	2+ 3+ 5-  2  6 -6 17-  4
Curve Equation t Generators 40800q1 [0,-1,0,2682,22032] 2 [128:1564:1] 40800q2 [0,-1,0,-11768,195432] 2 [1194:10557:8]
40800r (1 curve)	1	2+ 3+ 5- 17-	2+ 3+ 5- -3  3  2 17-  5
Curve Equation t Generators 40800r1 [0,-1,0,-3808,-13688] 1 [-39:272:1]
40800s (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  0 -4  2 17+  0
Curve Equation t 40800s1 [0,1,0,-2558,-50112] 4 40800s2 [0,1,0,-433,-128737] 2 40800s3 [0,1,0,-4808,48888] 2 40800s4 [0,1,0,-40808,-3186612] 2
40800t (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  0 -4 -6 17+ -4
Curve Equation t 40800t1 [0,1,0,-21258,-1198512] 4 40800t2 [0,1,0,-15008,-1911012] 2 40800t3 [0,1,0,-27633,-427137] 2 40800t4 [0,1,0,-340008,-76423512] 2
40800u (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  2  5  5 17+  7
Curve Equation t 40800u1 [0,1,0,-5533,447563] 1
40800v (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+ -3 -1  6 17+  5
Curve Equation t 40800v1 [0,1,0,-288,1788] 1
40800w (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  4  4  6 17+  0
Curve Equation t 40800w1 [0,1,0,-2158,-37312] 4 40800w2 [0,1,0,1592,-149812] 2 40800w3 [0,1,0,-6408,149688] 2 40800w4 [0,1,0,-34033,-2427937] 2
40800x (2 curves)	2	2+ 3- 5+ 17+	2+ 3- 5+ -4 -2 -2 17+ -4
Curve Equation t Generators 40800x1 [0,1,0,-2158,-14812] 2 [-22:150:1]&[-32:150:1] 40800x2 [0,1,0,7967,-105937] 2 [23:300:1]&[47:612:1]
40800y (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+ -4  4  2 17+ -8
Curve Equation t 40800y1 [0,1,0,-7758,-190512] 4 40800y2 [0,1,0,20367,-1231137] 2 40800y3 [0,1,0,-46008,3634488] 2 40800y4 [0,1,0,-114008,-14853012] 2
40800z (2 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+  2  0 -4 17-  8
Curve Equation t Generators 40800z1 [0,1,0,-158,-3312] 2 [1674:24225:8] 40800z2 [0,1,0,-4408,-113812] 2 [46158:638875:216]
40800ba (2 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+ -2  0 -4 17-  0
Curve Equation t Generators 40800ba1 [0,1,0,-3758,-22888512] 2 [411939:-3174954:1331] 40800ba2 [0,1,0,-1232008,-519101512] 2 [-698:1122:1]
40800bb (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+ -2  5  1 17-  5
Curve Equation t Generators 40800bb1 [0,1,0,6867,42363] 1 [9:324:1]
40800bc (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+ -4 -6  2 17- -4
Curve Equation t Generators 40800bc1 [0,1,0,-1208,15768] 1 [22:18:1]
40800bd (2 curves)	2	2+ 3- 5- 17-	2+ 3- 5- -2 -6 -6 17- -4
Curve Equation t Generators 40800bd1 [0,1,0,2682,-22032] 2 [234:-2295:8]&[18:180:1] 40800bd2 [0,1,0,-11768,-195432] 2 [-98:162:1]&[-77:510:1]
40800be (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5- -3  1 -6 17- -5
Curve Equation t 40800be1 [0,1,0,-7208,-237912] 1
40800bf (4 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  0  4 -6 17+  4
Curve Equation t 40800bf1 [0,-1,0,-21258,1198512] 4 40800bf2 [0,-1,0,-15008,1911012] 2 40800bf3 [0,-1,0,-27633,427137] 2 40800bf4 [0,-1,0,-340008,76423512] 2
40800bg (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+  2 -1  1 17+  1
Curve Equation t 40800bg1 [0,-1,0,-3533,82437] 1
40800bh (2 curves)	2	2- 3+ 5+ 17+	2- 3+ 5+ -2 -4 -4 17+  0
Curve Equation t Generators 40800bh1 [0,-1,0,842,-1688] 2 [12:100:1]&[27:200:1] 40800bh2 [0,-1,0,-3408,-10188] 2 [-52:154:1]&[-28:250:1]
40800bi (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+ -2 -5  5 17+ -7
Curve Equation t 40800bi1 [0,-1,0,-5533,-447563] 1
40800bj (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+  3  1  6 17+ -5
Curve Equation t 40800bj1 [0,-1,0,-288,-1788] 1
40800bk (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  4  2 -2 17+  4
Curve Equation t 40800bk1 [0,-1,0,-2158,14812] 2 40800bk2 [0,-1,0,7967,105937] 2
40800bl (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  2 -6  6 17+ -4
Curve Equation t Generators 40800bl1 [0,-1,0,67042,-2888088] 2 [684233:-17208956:1331] 40800bl2 [0,-1,0,-294208,-23840588] 2 [-204:5258:1]
40800bm (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  4 -6 -2 17+ -4
Curve Equation t Generators 40800bm1 [0,-1,0,-30208,2031412] 1 [92:150:1]
40800bn (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5-  3 -1 -6 17-  5
Curve Equation t 40800bn1 [0,-1,0,-7208,237912] 1
40800bo (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  1 -3  4 17+ -3
Curve Equation t Generators 40800bo1 [0,1,0,-48,-72] 1 [-6:6:1]
40800bp (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  2  4 -4 17+  0
Curve Equation t Generators 40800bp1 [0,1,0,842,1688] 2 [38:300:1] 40800bp2 [0,1,0,-3408,10188] 2 [-57:150:1]
40800bq (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -2  1  1 17+ -1
Curve Equation t Generators 40800bq1 [0,1,0,-3533,-82437] 1 [69:84:1]
40800br (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  3  3 -2 17+  5
Curve Equation t Generators 40800br1 [0,1,0,-95208,-1901412] 1 [-33:1098:1]
40800bs (4 curves)	0	2- 3- 5+ 17-	2- 3- 5+  0  0  2 17-  4
Curve Equation t 40800bs1 [0,1,0,-4658,-54312] 4 40800bs2 [0,1,0,16592,-394312] 2 40800bs3 [0,1,0,-38408,2848188] 2 40800bs4 [0,1,0,-62033,-5963937] 2
40800bt (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+ -2  0  6 17- -4
Curve Equation t 40800bt1 [0,1,0,-11458,-475912] 2 40800bt2 [0,1,0,-11208,-497412] 2
40800bu (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+ -2 -3 -3 17-  5
Curve Equation t 40800bu1 [0,1,0,67,2763] 1
40800bv (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+  4 -6  6 17- -4
Curve Equation t 40800bv1 [0,1,0,-70758,7220988] 2 40800bv2 [0,1,0,-69633,7462863] 2
40800bw (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  0  4 -4 17+  0
Curve Equation t 40800bw1 [0,1,0,-118,-532] 2 40800bw2 [0,1,0,-193,143] 2
40800bx (2 curves)	0	2- 3- 5- 17+	2- 3- 5- -2  6  6 17+  4
Curve Equation t 40800bx1 [0,1,0,67042,2888088] 2 40800bx2 [0,1,0,-294208,23840588] 2
40800by (1 curve)	0	2- 3- 5- 17+	2- 3- 5- -4  6 -2 17+  4
Curve Equation t 40800by1 [0,1,0,-30208,-2031412] 1
40800bz (2 curves)	1	2- 3- 5- 17-	2- 3- 5-  0 -4  4 17-  0
Curve Equation t Generators 40800bz1 [0,1,0,-2958,60588] 2 [29:6:1] 40800bz2 [0,1,0,-4833,-27537] 2 [-518:1077:8]
40800ca (1 curve)	1	2- 3- 5- 17-	2- 3- 5-  1  3 -4 17-  3
Curve Equation t Generators 40800ca1 [0,1,0,-1208,6588] 1 [-17:150:1]
40800cb (1 curve)	1	2- 3- 5- 17-	2- 3- 5-  3 -3  2 17- -5
Curve Equation t Generators 40800cb1 [0,1,0,-3808,13688] 1 [-46:306:1]

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