Cremona's table of elliptic curves

86800 = 2⁴ · 5² · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
86800a (4 curves)	1	2+ 5+ 7+ 31+	2+  0 5+ 7+  0 -6 -2 -4
Curve Equation t Generators 86800a1 [0,0,0,-9050,331375] 2 [199:2532:1] 86800a2 [0,0,0,-9175,321750] 4 [-79:744:1] 86800a3 [0,0,0,6325,1298250] 2 [35:-1250:1] 86800a4 [0,0,0,-26675,-1270750] 2 [770:20850:1]
86800b (2 curves)	1	2+ 5+ 7+ 31+	2+  0 5+ 7+ -2  4  0  4
Curve Equation t Generators 86800b1 [0,0,0,-311975,287083750] 2 [11970:450425:8] 86800b2 [0,0,0,-8715475,9875477250] 2 [1414227430:24544527675:636056]
86800c (1 curve)	1	2+ 5+ 7+ 31+	2+  1 5+ 7+ -5 -1  6  1
Curve Equation t Generators 86800c1 [0,1,0,-3008,43988] 1 [-52:250:1]
86800d (2 curves)	1	2+ 5+ 7+ 31+	2+ -2 5+ 7+  4 -4  0  4
Curve Equation t Generators 86800d1 [0,1,0,-203908,35524188] 2 [262:392:1] 86800d2 [0,1,0,-3266408,2271149188] 2 [1018:1400:1]
86800e (2 curves)	2	2+ 5+ 7+ 31-	2+  0 5+ 7+  0 -4 -6  0
Curve Equation t Generators 86800e1 [0,0,0,-2075,52250] 2 [-5:250:1]&[1:224:1] 86800e2 [0,0,0,-37075,2747250] 2 [-169:2046:1]&[79:558:1]
86800f (1 curve)	0	2+ 5+ 7+ 31-	2+  1 5+ 7+ -1  3 -2 -5
Curve Equation t 86800f1 [0,1,0,-9788408,11166003188] 1
86800g (1 curve)	0	2+ 5+ 7+ 31-	2+  1 5+ 7+ -4 -4 -2  2
Curve Equation t 86800g1 [0,1,0,-8,-4012] 1
86800h (1 curve)	0	2+ 5+ 7+ 31-	2+ -1 5+ 7+ -3 -1 -3  6
Curve Equation t 86800h1 [0,-1,0,-205772033,1698355763437] 1
86800i (1 curve)	0	2+ 5+ 7+ 31-	2+ -1 5+ 7+ -3 -1  4 -1
Curve Equation t 86800i1 [0,-1,0,-403408,-94422688] 1
86800j (2 curves)	0	2+ 5+ 7+ 31-	2+  2 5+ 7+  0  2  0  0
Curve Equation t 86800j1 [0,-1,0,-16408,2013312] 2 86800j2 [0,-1,0,-359408,82961312] 2
86800k (2 curves)	0	2+ 5+ 7+ 31-	2+  2 5+ 7+  0 -4  4 -4
Curve Equation t 86800k1 [0,-1,0,-1783,-25938] 2 86800k2 [0,-1,0,2092,-126688] 2
86800l (2 curves)	0	2+ 5+ 7+ 31-	2+ -2 5+ 7+  2  6 -2  4
Curve Equation t 86800l1 [0,1,0,-908,-21812] 2 86800l2 [0,1,0,-18408,-966812] 2
86800m (2 curves)	2	2+ 5+ 7+ 31-	2+ -2 5+ 7+ -2  0  2 -4
Curve Equation t Generators 86800m1 [0,1,0,166592,31213188] 2 [-152:1550:1]&[-37:5000:1] 86800m2 [0,1,0,-1058408,308063188] 2 [-793:25482:1]&[-638:26908:1]
86800n (2 curves)	0	2+ 5+ 7+ 31-	2+ -2 5+ 7+ -2 -6  2 -4
Curve Equation t 86800n1 [0,1,0,-17980908,30714530188] 2 86800n2 [0,1,0,-291418408,1914698905188] 2
86800o (1 curve)	0	2+ 5+ 7+ 31-	2+  3 5+ 7+  3 -1 -3  6
Curve Equation t 86800o1 [0,0,0,-561700,-162146500] 1
86800p (4 curves)	1	2+ 5+ 7- 31-	2+  0 5+ 7- -4  2  2  4
Curve Equation t Generators 86800p1 [0,0,0,4825,-24250] 2 [85:1000:1] 86800p2 [0,0,0,-19675,-195750] 4 [-134:186:1] 86800p3 [0,0,0,-194675,32879250] 2 [-505:1550:1] 86800p4 [0,0,0,-236675,-44246750] 2 [-7818:2222:27]
86800q (2 curves)	1	2+ 5+ 7- 31-	2+  0 5+ 7-  6  0 -4  4
Curve Equation t Generators 86800q1 [0,0,0,25,3750] 2 [-10:50:1] 86800q2 [0,0,0,-3475,77250] 2 [130:1350:1]
86800r (2 curves)	1	2+ 5+ 7- 31-	2+  2 5+ 7-  4  0  0  4
Curve Equation t Generators 86800r1 [0,-1,0,-99783,12165062] 2 [6114:28700:27] 86800r2 [0,-1,0,-95908,13149312] 2 [-48:4200:1]
86800s (1 curve)	0	2+ 5- 7+ 31+	2+  3 5- 7+  0 -6 -7 -7
Curve Equation t 86800s1 [0,0,0,-220,-1300] 1
86800t (1 curve)	1	2+ 5- 7+ 31-	2+  1 5- 7+ -3  5  2 -7
Curve Equation t Generators 86800t1 [0,1,0,-12208,409588] 1 [-117:500:1]
86800u (1 curve)	1	2+ 5- 7- 31+	2+ -3 5- 7-  0  6  7 -7
Curve Equation t Generators 86800u1 [0,0,0,-5500,-162500] 1 [1650:21875:8]
86800v (1 curve)	2	2+ 5- 7- 31-	2+ -1 5- 7- -3 -5 -2 -7
Curve Equation t Generators 86800v1 [0,-1,0,-488,3472] 1 [-24:28:1]&[-3:70:1]
86800w (1 curve)	0	2- 5+ 7+ 31+	2-  0 5+ 7+ -1  6 -2  6
Curve Equation t 86800w1 [0,0,0,-327725,72212555] 1
86800x (2 curves)	0	2- 5+ 7+ 31+	2-  0 5+ 7+  2 -6  4  0
Curve Equation t 86800x1 [0,0,0,-797075,-588472750] 2 86800x2 [0,0,0,-16477075,-25723512750] 2
86800y (1 curve)	0	2- 5+ 7+ 31+	2- -1 5+ 7+  1 -3 -5  2
Curve Equation t 86800y1 [0,-1,0,-13316133,-18698837363] 1
86800z (1 curve)	0	2- 5+ 7+ 31+	2- -1 5+ 7+  5  5  3  2
Curve Equation t 86800z1 [0,-1,0,-133,70637] 1
86800ba (1 curve)	0	2- 5+ 7+ 31+	2-  2 5+ 7+  4 -3 -5 -7
Curve Equation t 86800ba1 [0,-1,0,-288,-2368] 1
86800bb (2 curves)	1	2- 5+ 7+ 31-	2-  0 5+ 7+  2  2 -2  6
Curve Equation t Generators 86800bb1 [0,0,0,-2875,38250] 2 [495:10950:1] 86800bb2 [0,0,0,-18875,-969750] 2 [189:1488:1]
86800bc (4 curves)	1	2- 5+ 7+ 31-	2-  0 5+ 7+  4 -2  2 -4
Curve Equation t Generators 86800bc1 [0,0,0,9325,143250] 2 [305:5600:1] 86800bc2 [0,0,0,-40675,1193250] 4 [-94:2046:1] 86800bc3 [0,0,0,-350675,-79096750] 2 [-8538:11242:27] 86800bc4 [0,0,0,-530675,148683250] 4 [-345:17050:1]
86800bd (2 curves)	1	2- 5+ 7+ 31-	2-  0 5+ 7+ -4 -4 -2  0
Curve Equation t Generators 86800bd1 [0,0,0,178842925,-61741872750] 2 [3470:775000:1] 86800bd2 [0,0,0,-717157075,-494509872750] 2 [60814:-13446312:1]
86800be (1 curve)	1	2- 5+ 7+ 31-	2-  0 5+ 7+ -5 -2  6  6
Curve Equation t Generators 86800be1 [0,0,0,-185,1115] 1 [-14:31:1]
86800bf (2 curves)	1	2- 5+ 7+ 31-	2-  2 5+ 7+  6 -4 -2  4
Curve Equation t Generators 86800bf1 [0,-1,0,-12808,-591888] 2 [1866:24075:8] 86800bf2 [0,-1,0,-208808,-36655888] 2 [3618234:-49559725:5832]
86800bg (2 curves)	1	2- 5+ 7+ 31-	2- -2 5+ 7+  0 -6  4  8
Curve Equation t Generators 86800bg1 [0,1,0,4592,-88812] 2 [28:250:1] 86800bg2 [0,1,0,-23408,-816812] 2 [-68:682:1]
86800bh (1 curve)	1	2- 5+ 7+ 31-	2-  3 5+ 7+  1  1 -1  2
Curve Equation t Generators 86800bh1 [0,0,0,-13586800,33643958000] 1 [934692609364195892335455:49120667961100462873639225:407211578912103369039]
86800bi (1 curve)	1	2- 5+ 7+ 31-	2-  3 5+ 7+  1  1 -6 -3
Curve Equation t Generators 86800bi1 [0,0,0,-49675,-4231750] 1 [-3705:800:27]
86800bj (1 curve)	1	2- 5+ 7+ 31-	2-  3 5+ 7+ -1 -7  7 -6
Curve Equation t Generators 86800bj1 [0,0,0,-332800,74702000] 1 [5835:96875:27]
86800bk (1 curve)	1	2- 5+ 7+ 31-	2-  3 5+ 7+  5 -1  4  3
Curve Equation t Generators 86800bk1 [0,0,0,-7118152075,214397277160250] 1 [1511272468205031546585541274310871185167059233:164036153620731866391940932452901592937434775552:45019856054071525778479741454833149559053]
86800bl (1 curve)	1	2- 5+ 7+ 31-	2- -3 5+ 7+ -1  5  4 -3
Curve Equation t Generators 86800bl1 [0,0,0,-112675,-14486750] 1 [-190:250:1]
86800bm (1 curve)	1	2- 5+ 7+ 31-	2- -3 5+ 7+ -4  2  1 -3
Curve Equation t Generators 86800bm1 [0,0,0,800,1174000] 1 [65:1225:1]
86800bn (1 curve)	1	2- 5+ 7+ 31-	2- -3 5+ 7+ -4 -4 -2 -6
Curve Equation t Generators 86800bn1 [0,0,0,-945475,353853250] 1 [561:-16:1]
86800bo (2 curves)	1	2- 5+ 7- 31+	2-  0 5+ 7- -2  2  0 -8
Curve Equation t Generators 86800bo1 [0,0,0,-65075,6475250] 2 [55:1750:1] 86800bo2 [0,0,0,-1045075,411215250] 2 [559:1302:1]
86800bp (1 curve)	1	2- 5+ 7- 31+	2-  0 5+ 7-  4 -1 -3  1
Curve Equation t Generators 86800bp1 [0,0,0,25,-30] 1 [74:638:1]
86800bq (3 curves)	1	2- 5+ 7- 31+	2-  1 5+ 7-  0  4  6 -2
Curve Equation t Generators 86800bq1 [0,1,0,-1608,-131212] 1 [18142:2443648:1] 86800bq2 [0,1,0,14392,3420788] 1 [14:1904:1] 86800bq3 [0,1,0,-1349608,603332788] 1 [1062:19208:1]
86800br (2 curves)	1	2- 5+ 7- 31+	2-  1 5+ 7-  3  1  3 -2
Curve Equation t Generators 86800br1 [0,1,0,-7133,-662137] 1 [119:434:1] 86800br2 [0,1,0,62867,15857863] 1 [-106749:1370386:729]
86800bs (2 curves)	1	2- 5+ 7- 31+	2-  1 5+ 7- -3  1  0  1
Curve Equation t Generators 86800bs1 [0,1,0,-577008,-168820012] 1 [1618:-56000:1] 86800bs2 [0,1,0,-1767008,701839988] 1 [46686:1433600:27]
86800bt (3 curves)	1	2- 5+ 7- 31+	2-  1 5+ 7- -3 -5  6  7
Curve Equation t Generators 86800bt1 [0,1,0,-235408,-44040812] 1 [-373362:1400:1331] 86800bt2 [0,1,0,-261408,-33740812] 1 [-182:2800:1] 86800bt3 [0,1,0,-8507408,9546375188] 1 [43446:137600:27]
86800bu (2 curves)	1	2- 5+ 7- 31+	2- -1 5+ 7-  3  1  2  5
Curve Equation t Generators 86800bu1 [0,-1,0,-3998008,1251654512] 1 [-718:61250:1] 86800bu2 [0,-1,0,-2059758008,35981619014512] 1 [705414:580150:27]
86800bv (1 curve)	1	2- 5+ 7- 31+	2- -1 5+ 7- -3  4  5 -1
Curve Equation t Generators 86800bv1 [0,-1,0,-215208,-56371088] 1 [948:-24304:1]
86800bw (2 curves)	1	2- 5+ 7- 31+	2-  2 5+ 7-  0 -2 -4 -4
Curve Equation t Generators 86800bw1 [0,-1,0,-1008,600512] 2 [-43:750:1] 86800bw2 [0,-1,0,-113008,14488512] 2 [858:15159:8]
86800bx (4 curves)	1	2- 5+ 7- 31+	2- -2 5+ 7-  0 -2  0  4
Curve Equation t Generators 86800bx1 [0,1,0,2572992,-2473304012] 2 [10634:459375:8] 86800bx2 [0,1,0,-19379008,-26400984012] 2 [-2673:79422:1] 86800bx3 [0,1,0,-24377008,89161595988] 2 [-2166:2475375:8] 86800bx4 [0,1,0,-483129008,4084891515988] 2 [39805426146:-1293406218125:2628072]
86800by (2 curves)	1	2- 5+ 7- 31+	2- -2 5+ 7-  2  2 -2 -4
Curve Equation t Generators 86800by1 [0,1,0,-4408,-136812] 2 [118:1000:1] 86800by2 [0,1,0,-74408,-7836812] 2 [468:7750:1]
86800bz (4 curves)	1	2- 5+ 7- 31+	2- -2 5+ 7- -6 -2  6  4
Curve Equation t Generators 86800bz1 [0,1,0,-50408,148859188] 2 [-212:12250:1] 86800bz2 [0,1,0,-4530408,3670139188] 2 [2348:77350:1] 86800bz3 [0,1,0,-22866408,42080699188] 2 [2318:39200:1] 86800bz4 [0,1,0,-365866408,2693470699188] 2 [11012:5642:1]
86800ca (1 curve)	0	2- 5+ 7- 31-	2-  1 5+ 7- -4  2 -3  5
Curve Equation t 86800ca1 [0,1,0,5143467,-5362325437] 1
86800cb (1 curve)	0	2- 5+ 7- 31-	2-  1 5+ 7-  5  5  0 -1
Curve Equation t 86800cb1 [0,1,0,-2408,27188] 1
86800cc (1 curve)	2	2- 5+ 7- 31-	2- -1 5+ 7- -1 -1  8 -7
Curve Equation t Generators 86800cc1 [0,-1,0,-35008,-2351488] 1 [-118:350:1]&[-104:392:1]
86800cd (2 curves)	0	2- 5+ 7- 31-	2-  2 5+ 7- -6  0  6  0
Curve Equation t 86800cd1 [0,-1,0,5992,726512] 2 86800cd2 [0,-1,0,-94008,10326512] 2
86800ce (2 curves)	0	2- 5+ 7- 31-	2- -2 5+ 7-  2  4  2  8
Curve Equation t 86800ce1 [0,1,0,8392,-375212] 2 86800ce2 [0,1,0,-55608,-3831212] 2
86800cf (2 curves)	0	2- 5+ 7- 31-	2- -2 5+ 7-  2 -4  6 -4
Curve Equation t 86800cf1 [0,1,0,-1086408,-1413372812] 2 86800cf2 [0,1,0,-26686408,-52971772812] 2
86800cg (1 curve)	0	2- 5+ 7- 31-	2- -2 5+ 7- -4 -1 -3 -1
Curve Equation t 86800cg1 [0,1,0,79792,-2626412] 1
86800ch (1 curve)	1	2- 5- 7+ 31+	2-  0 5- 7+  4  1  3  1
Curve Equation t Generators 86800ch1 [0,0,0,625,-3750] 1 [14:88:1]
86800ci (1 curve)	1	2- 5- 7+ 31+	2-  1 5- 7+ -3 -4 -5 -1
Curve Equation t Generators 86800ci1 [0,1,0,-8608,-454412] 1 [906:1519:8]
86800cj (1 curve)	1	2- 5- 7+ 31+	2-  1 5- 7+ -4 -2  3 -7
Curve Equation t Generators 86800cj1 [0,1,0,28667,-845537] 1 [183:3250:1]
86800ck (1 curve)	1	2- 5- 7+ 31+	2- -1 5- 7+  3  3  2  1
Curve Equation t Generators 86800ck1 [0,-1,0,-2688,28672] 1 [192:2560:1]
86800cl (1 curve)	0	2- 5- 7+ 31-	2-  2 5- 7+ -4  1  3 -1
Curve Equation t 86800cl1 [0,-1,0,3192,-22288] 1
86800cm (1 curve)	2	2- 5- 7+ 31-	2- -3 5- 7+ -3  1 -2 -7
Curve Equation t Generators 86800cm1 [0,0,0,-17755,906250] 1 [-131:992:1]&[55:-310:1]
86800cn (1 curve)	0	2- 5- 7- 31+	2-  0 5- 7- -1 -6  2  6
Curve Equation t 86800cn1 [0,0,0,-8193125,9026569375] 1
86800co (1 curve)	0	2- 5- 7- 31+	2-  1 5- 7-  3 -3 -2  1
Curve Equation t 86800co1 [0,1,0,-67208,3449588] 1
86800cp (1 curve)	2	2- 5- 7- 31+	2- -1 5- 7- -4  2 -3 -7
Curve Equation t Generators 86800cp1 [0,-1,0,1147,-7223] 1 [57:490:1]&[113:1246:1]
86800cq (1 curve)	0	2- 5- 7- 31+	2- -2 5- 7-  4  3  5 -7
Curve Equation t 86800cq1 [0,1,0,-7208,-310412] 1
86800cr (1 curve)	1	2- 5- 7- 31-	2-  0 5- 7- -5  2 -6  6
Curve Equation t Generators 86800cr1 [0,0,0,-4625,139375] 1 [54:217:1]
86800cs (1 curve)	1	2- 5- 7- 31-	2-  3 5- 7- -3 -1  2 -7
Curve Equation t Generators 86800cs1 [0,0,0,-443875,113281250] 1 [9750:7750:27]

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