Cremona's table of elliptic curves

81200 = 2⁴ · 5² · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
81200a (1 curve)	1	2+ 5+ 7+ 29+	2+  1 5+ 7+  6 -4 -6  5
Curve Equation t Generators 81200a1 [0,1,0,167,-1037] 1 [786:4625:27]
81200b (2 curves)	1	2+ 5+ 7+ 29+	2+  2 5+ 7+  0 -6 -4 -2
Curve Equation t Generators 81200b1 [0,-1,0,-183,362] 2 [106:75:8] 81200b2 [0,-1,0,692,2112] 2 [1041:33582:1]
81200c (2 curves)	1	2+ 5+ 7+ 29+	2+  2 5+ 7+ -4  2  0  6
Curve Equation t Generators 81200c1 [0,-1,0,-166783,-20368938] 2 [-1204414084386:-5047884897650:8527173507] 81200c2 [0,-1,0,380092,-126462688] 2 [68890435476918223595922:-12624561212164069785122825:2051994790941120936]
81200d (2 curves)	1	2+ 5+ 7+ 29+	2+ -2 5+ 7+  0  2  0 -4
Curve Equation t Generators 81200d1 [0,1,0,-51283,-4486812] 2 [11994:458925:8] 81200d2 [0,1,0,-54908,-3819812] 2 [-178:588:1]
81200e (2 curves)	1	2+ 5+ 7+ 29+	2+ -2 5+ 7+  4 -6 -4 -4
Curve Equation t Generators 81200e1 [0,1,0,-303283,479688] 2 [-356:7966:1] 81200e2 [0,1,0,-3351908,2354018188] 2 [-1298:67228:1]
81200f (4 curves)	2	2+ 5+ 7+ 29-	2+  0 5+ 7+ -4 -6  2  4
Curve Equation t Generators 81200f1 [0,0,0,-12050,-508625] 2 [435:8750:1]&[7155:605150:1] 81200f2 [0,0,0,-15175,-224250] 4 [-95:600:1]&[246:3306:1] 81200f3 [0,0,0,57325,-1746750] 2 [35:550:1]&[635:17050:1] 81200f4 [0,0,0,-137675,19498250] 4 [-6405:168200:27]&[-59:5236:1]
81200g (1 curve)	0	2+ 5+ 7+ 29-	2+  1 5+ 7+ -2  0  2 -1
Curve Equation t 81200g1 [0,1,0,-32033,-9998437] 1
81200h (1 curve)	0	2+ 5+ 7+ 29-	2+ -1 5+ 7+ -6  4  6 -3
Curve Equation t 81200h1 [0,-1,0,-3633,-83363] 1
81200i (1 curve)	0	2+ 5+ 7- 29+	2+ -1 5+ 7-  2 -6  5  5
Curve Equation t 81200i1 [0,-1,0,-109583,-13932338] 1
81200j (2 curves)	0	2+ 5+ 7- 29+	2+  2 5+ 7-  0 -4 -2 -6
Curve Equation t 81200j1 [0,-1,0,-53208,-5577088] 2 81200j2 [0,-1,0,-894208,-325157088] 2
81200k (2 curves)	0	2+ 5+ 7- 29+	2+  2 5+ 7- -4  6  8  2
Curve Equation t 81200k1 [0,-1,0,492,36512] 2 81200k2 [0,-1,0,-14008,616512] 2
81200l (2 curves)	2	2+ 5+ 7- 29+	2+ -2 5+ 7-  0 -2  0 -6
Curve Equation t Generators 81200l1 [0,1,0,1892,-40212] 2 [22:112:1]&[43:350:1] 81200l2 [0,1,0,-12608,-417212] 2 [-86:196:1]&[-72:350:1]
81200m (2 curves)	2	2+ 5+ 7- 29+	2+ -2 5+ 7- -4  2 -4  0
Curve Equation t Generators 81200m1 [0,1,0,-2283,-41312] 2 [-28:38:1]&[68:350:1] 81200m2 [0,1,0,-5908,118188] 2 [-77:350:1]&[-62:500:1]
81200n (2 curves)	1	2+ 5+ 7- 29-	2+  0 5+ 7-  0  2  6 -6
Curve Equation t Generators 81200n1 [0,0,0,50,-4125] 2 [211:3066:1] 81200n2 [0,0,0,-3575,-80250] 2 [-31:28:1]
81200o (4 curves)	1	2+ 5+ 7- 29-	2+  0 5+ 7-  4  2 -6  0
Curve Equation t Generators 81200o1 [0,0,0,-650,-625] 2 [-5:50:1] 81200o2 [0,0,0,-6775,213750] 4 [166:1914:1] 81200o3 [0,0,0,-3275,434250] 2 [-61:638:1] 81200o4 [0,0,0,-108275,13713250] 2 [6582:36278:27]
81200p (1 curve)	1	2+ 5+ 7- 29-	2+  0 5+ 7- -6 -4 -6  0
Curve Equation t Generators 81200p1 [0,0,0,-3275,158170] 1 [129:1372:1]
81200q (1 curve)	1	2+ 5+ 7- 29-	2+  1 5+ 7-  0 -4 -1 -5
Curve Equation t Generators 81200q1 [0,1,0,2072,-9212] 1 [42:392:1]
81200r (1 curve)	1	2+ 5+ 7- 29-	2+ -1 5+ 7-  4  4 -3  5
Curve Equation t Generators 81200r1 [0,-1,0,-208,1232] 1 [8:-4:1]
81200s (1 curve)	0	2+ 5- 7+ 29+	2+  1 5- 7+  2  6 -5  5
Curve Equation t 81200s1 [0,1,0,-4383,-113212] 1
81200t (1 curve)	1	2+ 5- 7+ 29-	2+  0 5- 7+ -6  4  6  0
Curve Equation t Generators 81200t1 [0,0,0,-81875,19771250] 1 [-41:4802:1]
81200u (1 curve)	1	2+ 5- 7+ 29-	2+  1 5- 7+  4 -4  3  5
Curve Equation t Generators 81200u1 [0,1,0,-5208,143588] 1 [58:200:1]
81200v (1 curve)	1	2+ 5- 7+ 29-	2+ -1 5- 7+  0  4  1 -5
Curve Equation t Generators 81200v1 [0,-1,0,51792,-1255088] 1 [216:4468:1]
81200w (1 curve)	0	2- 5+ 7+ 29+	2-  0 5+ 7+  2  0 -2  0
Curve Equation t 81200w1 [0,0,0,-549155,178359330] 1
81200x (2 curves)	0	2- 5+ 7+ 29+	2-  0 5+ 7+  4  0  4 -4
Curve Equation t 81200x1 [0,0,0,-120875,-17475750] 2 81200x2 [0,0,0,-1976875,-1069827750] 2
81200y (1 curve)	2	2- 5+ 7+ 29+	2-  1 5+ 7+  2 -2 -7 -5
Curve Equation t Generators 81200y1 [0,1,0,112,788] 1 [2:-32:1]&[212:3098:1]
81200z (1 curve)	0	2- 5+ 7+ 29+	2-  1 5+ 7+  4 -4 -3 -1
Curve Equation t 81200z1 [0,1,0,-833,12338] 1
81200ba (2 curves)	2	2- 5+ 7+ 29+	2- -2 5+ 7+  2 -2  2 -2
Curve Equation t Generators 81200ba1 [0,1,0,-5633,157738] 2 [-26:536:1]&[18:250:1] 81200ba2 [0,1,0,492,488488] 2 [3:700:1]&[39:754:1]
81200bb (2 curves)	0	2- 5+ 7+ 29+	2- -2 5+ 7+  2  6  6  8
Curve Equation t 81200bb1 [0,1,0,-533,-1562] 2 81200bb2 [0,1,0,-4908,129688] 2
81200bc (1 curve)	0	2- 5+ 7+ 29+	2-  3 5+ 7+ -2  0 -2 -1
Curve Equation t 81200bc1 [0,0,0,-1000,15500] 1
81200bd (1 curve)	0	2- 5+ 7+ 29+	2-  3 5+ 7+ -6 -2 -1 -7
Curve Equation t 81200bd1 [0,0,0,-11875,1081250] 1
81200be (4 curves)	1	2- 5+ 7+ 29-	2-  0 5+ 7+  0  2 -2 -4
Curve Equation t Generators 81200be1 [0,0,0,6325,-31750] 2 [8420:112275:64] 81200be2 [0,0,0,-25675,-255750] 4 [-91:1152:1] 81200be3 [0,0,0,-257675,50088250] 2 [-315:10000:1] 81200be4 [0,0,0,-305675,-64935750] 2 [-2478:1341:8]
81200bf (2 curves)	1	2- 5+ 7+ 29-	2-  0 5+ 7+  2 -6 -8  6
Curve Equation t Generators 81200bf1 [0,0,0,-201200,-34724625] 2 [4210:18125:8] 81200bf2 [0,0,0,-170575,-45657750] 2 [73010:19727250:1]
81200bg (1 curve)	1	2- 5+ 7+ 29-	2- -1 5+ 7+  1  1  4  4
Curve Equation t Generators 81200bg1 [0,-1,0,-40808,-3167888] 1 [34770:328958:125]
81200bh (1 curve)	1	2- 5+ 7+ 29-	2- -1 5+ 7+ -2  4 -2  1
Curve Equation t Generators 81200bh1 [0,-1,0,-464133,122150137] 1 [397:550:1]
81200bi (1 curve)	1	2- 5+ 7+ 29-	2- -1 5+ 7+ -2 -4 -7  0
Curve Equation t Generators 81200bi1 [0,-1,0,27,-23] 1 [1:2:1]
81200bj (2 curves)	1	2- 5+ 7- 29+	2-  1 5+ 7-  0  4  3  7
Curve Equation t Generators 81200bj1 [0,1,0,7,98] 1 [14:56:1] 81200bj2 [0,1,0,-1393,19558] 1 [678:872:27]
81200bk (1 curve)	1	2- 5+ 7- 29+	2- -1 5+ 7- -1 -1 -2  4
Curve Equation t Generators 81200bk1 [0,-1,0,-908,-27188] 1 [53:266:1]
81200bl (2 curves)	1	2- 5+ 7- 29+	2- -1 5+ 7- -2 -4  2 -5
Curve Equation t Generators 81200bl1 [0,-1,0,7867,6637] 1 [92:1225:1] 81200bl2 [0,-1,0,-860133,307362637] 1 [14484:5075:27]
81200bm (2 curves)	1	2- 5+ 7- 29+	2-  2 5+ 7-  0  2  0 -6
Curve Equation t Generators 81200bm1 [0,-1,0,-2408,155312] 2 [-22:3219:8] 81200bm2 [0,-1,0,-60408,5723312] 2 [452:8400:1]
81200bn (2 curves)	1	2- 5+ 7- 29+	2-  2 5+ 7-  4  2 -4 -2
Curve Equation t Generators 81200bn1 [0,-1,0,-3808,-93888] 2 [290040:1532384:3375] 81200bn2 [0,-1,0,-61808,-5893888] 2 [9264:98000:27]
81200bo (2 curves)	1	2- 5+ 7- 29+	2-  2 5+ 7- -4  2  4 -2
Curve Equation t Generators 81200bo1 [0,-1,0,-849808,477938112] 2 [4026:106575:8] 81200bo2 [0,-1,0,-15697808,23937778112] 2 [1816:37632:1]
81200bp (4 curves)	1	2- 5+ 7- 29+	2- -2 5+ 7-  0 -2  0 -2
Curve Equation t Generators 81200bp1 [0,1,0,663992,111791988] 2 [15466:742951:8] 81200bp2 [0,1,0,-3048008,950703988] 2 [-1122:54400:1] 81200bp3 [0,1,0,-12936008,18238191988] 2 [2238:22400:1] 81200bp4 [0,1,0,-208048008,1154960703988] 2 [8078:39200:1]
81200bq (4 curves)	1	2- 5+ 7- 29+	2- -2 5+ 7-  6 -2 -6  4
Curve Equation t Generators 81200bq1 [0,1,0,-14533,-641562] 2 [-58:98:1] 81200bq2 [0,1,0,-228908,-42230312] 2 [2623:131950:1] 81200bq3 [0,1,0,-210533,36965938] 2 [242:498:1] 81200bq4 [0,1,0,-319908,-5690312] 2 [-78978:1708057:216]
81200br (4 curves)	1	2- 5+ 7- 29+	2- -2 5+ 7- -6 -2 -6 -2
Curve Equation t Generators 81200br1 [0,1,0,-3775633,-2825051262] 2 [28234:1334375:8] 81200br2 [0,1,0,-3769508,-2834667512] 2 [6408103314:302894921875:1815848] 81200br3 [0,1,0,-4100633,-2310338762] 2 [-1602:12250:1] 81200br4 [0,1,0,10605492,-15104667512] 2 [98799:31071586:1]
81200bs (2 curves)	2	2- 5+ 7- 29-	2-  0 5+ 7- -6 -6  0  4
Curve Equation t Generators 81200bs1 [0,0,0,-1700,-14625] 2 [-19:104:1]&[185:2450:1] 81200bs2 [0,0,0,-23575,-1392750] 2 [954:29058:1]&[1730:15225:8]
81200bt (2 curves)	0	2- 5+ 7- 29-	2-  1 5+ 7-  0  4  3 -5
Curve Equation t 81200bt1 [0,1,0,-355208,87353588] 1 81200bt2 [0,1,0,-29355208,61207753588] 1
81200bu (2 curves)	0	2- 5+ 7- 29-	2-  1 5+ 7-  3  1  0  4
Curve Equation t 81200bu1 [0,1,0,-5808,-1693612] 1 81200bu2 [0,1,0,52192,45286388] 1
81200bv (3 curves)	0	2- 5+ 7- 29-	2-  1 5+ 7- -6  4  6  7
Curve Equation t 81200bv1 [0,1,0,179287467,222012210563] 1 81200bv2 [0,1,0,-2844948533,60656490870563] 1 81200bv3 [0,1,0,-232899164533,43261266566486563] 1
81200bw (1 curve)	0	2- 5+ 7- 29-	2- -1 5+ 7-  5  5  4  4
Curve Equation t 81200bw1 [0,-1,0,-8,14512] 1
81200bx (1 curve)	0	2- 5+ 7- 29-	2-  3 5+ 7-  2 -4  3 -8
Curve Equation t 81200bx1 [0,0,0,-30400,2041520] 1
81200by (1 curve)	0	2- 5+ 7- 29-	2-  3 5+ 7- -4 -4 -3  1
Curve Equation t 81200by1 [0,0,0,-12235,-532870] 1
81200bz (1 curve)	0	2- 5+ 7- 29-	2- -3 5+ 7-  2 -4  6 -5
Curve Equation t 81200bz1 [0,0,0,800,-26000] 1
81200ca (1 curve)	2	2- 5+ 7- 29-	2- -3 5+ 7-  3  0 -3 -5
Curve Equation t Generators 81200ca1 [0,0,0,365,123730] 1 [31:-406:1]&[-39:224:1]
81200cb (2 curves)	1	2- 5- 7+ 29+	2- -1 5- 7+  0 -4 -3  7
Curve Equation t Generators 81200cb1 [0,-1,0,167,11912] 1 [-8:100:1] 81200cb2 [0,-1,0,-34833,2514412] 1 [76:548:1]
81200cc (2 curves)	2	2- 5- 7+ 29-	2- -1 5- 7+  0 -4 -3 -5
Curve Equation t Generators 81200cc1 [0,-1,0,-14208,704512] 1 [-128:640:1]&[82:290:1] 81200cc2 [0,-1,0,-1174208,490131712] 1 [-592:31264:1]&[626:2:1]
81200cd (1 curve)	0	2- 5- 7+ 29-	2-  3 5- 7+  3  0  3 -5
Curve Equation t 81200cd1 [0,0,0,9125,15466250] 1
81200ce (1 curve)	0	2- 5- 7+ 29-	2- -3 5- 7+  2  4 -3 -8
Curve Equation t 81200ce1 [0,0,0,-760000,255190000] 1
81200cf (1 curve)	0	2- 5- 7+ 29-	2- -3 5- 7+ -4  4  3  1
Curve Equation t 81200cf1 [0,0,0,-305875,-66608750] 1
81200cg (1 curve)	0	2- 5- 7- 29+	2-  0 5- 7-  2  0  2  0
Curve Equation t 81200cg1 [0,0,0,-13728875,22294916250] 1
81200ch (1 curve)	0	2- 5- 7- 29+	2- -1 5- 7-  2  2  7 -5
Curve Equation t 81200ch1 [0,-1,0,2792,92912] 1
81200ci (1 curve)	0	2- 5- 7- 29+	2- -1 5- 7-  4  4  3 -1
Curve Equation t 81200ci1 [0,-1,0,-33,112] 1
81200cj (1 curve)	2	2- 5- 7- 29+	2- -3 5- 7- -6  2  1 -7
Curve Equation t Generators 81200cj1 [0,0,0,-475,8650] 1 [-25:70:1]&[45:280:1]
81200ck (1 curve)	1	2- 5- 7- 29-	2-  1 5- 7- -2  4  7  0
Curve Equation t Generators 81200ck1 [0,1,0,667,-1537] 1 [599:14686:1]

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