Cremona's table of elliptic curves

17640 = 2³ · 3² · 5 · 7²

Class	r	Atkin-Lehner	Eigenvalues
17640a (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7-  2  2  6  2
Curve Equation t 17640a1 [0,0,0,-2058,-16807] 2 17640a2 [0,0,0,-27783,-1781542] 2
17640b (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7-  2  2 -6  2
Curve Equation t 17640b1 [0,0,0,-546903,155673098] 2 17640b2 [0,0,0,-547323,155422022] 2
17640c (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7- -2  2 -2  8
Curve Equation t 17640c1 [0,0,0,-140238,19753713] 2 17640c2 [0,0,0,25137,63511938] 2
17640d (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7- -2 -4 -2 -4
Curve Equation t 17640d1 [0,0,0,-1323,-166698] 2 17640d2 [0,0,0,-54243,-4834242] 2
17640e (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7- -2  6 -2 -4
Curve Equation t 17640e1 [0,0,0,-792918,307613033] 2 17640e2 [0,0,0,-13146063,18345675362] 2
17640f (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7-  4 -6  4  2
Curve Equation t 17640f1 [0,0,0,-1323,8918] 2 17640f2 [0,0,0,4557,66542] 2
17640g (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7- -6  2  2 -6
Curve Equation t 17640g1 [0,0,0,-27783,907578] 2 17640g2 [0,0,0,-213003,-37210698] 2
17640h (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7-  2 -2  6 -2
Curve Equation t Generators 17640h1 [0,0,0,-26798247,-53395872614] 2 [225106:37069725:8] 17640h2 [0,0,0,-26818827,-53309753546] 2 [-3097:6600:1]
17640i (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7-  2 -2 -6 -2
Curve Equation t Generators 17640i1 [0,0,0,-42,49] 2 [0:7:1] 17640i2 [0,0,0,-567,5194] 2 [15:8:1]
17640j (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7- -2  2 -6  0
Curve Equation t Generators 17640j1 [0,0,0,7938,-175959] 2 [217:3430:1] 17640j2 [0,0,0,-38367,-1537326] 2 [-77:980:1]
17640k (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7- -6 -2 -2  6
Curve Equation t Generators 17640k1 [0,0,0,-567,-2646] 2 [-5:8:1] 17640k2 [0,0,0,-4347,108486] 2 [7:280:1]
17640l (1 curve)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+  1 -5  4  5
Curve Equation t 17640l1 [0,0,0,3697197,-86239122802] 1
17640m (1 curve)	2	2+ 3- 5+ 7+	2+ 3- 5+ 7+ -4 -5 -6 -5
Curve Equation t Generators 17640m1 [0,0,0,-588,10388] 1 [-26:90:1]&[-14:126:1]
17640n (2 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  0 -2  2  2
Curve Equation t Generators 17640n1 [0,0,0,-2478,-265727] 2 [413:8316:1] 17640n2 [0,0,0,-79023,-8517278] 2 [-166:162:1]
17640o (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  0 -2  2 -4
Curve Equation t Generators 17640o1 [0,0,0,-16023,-777238] 2 [259:3528:1] 17640o2 [0,0,0,-24843,173558] 4 [-89:1296:1] 17640o3 [0,0,0,-289443,59814398] 2 [646:11934:1] 17640o4 [0,0,0,98637,1383662] 2 [1346:38151:8]
17640p (1 curve)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  1  3 -2  5
Curve Equation t Generators 17640p1 [0,0,0,-2163,45038] 1 [22:90:1]
17640q (1 curve)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7- -2  0  4  2
Curve Equation t Generators 17640q1 [0,0,0,-7203,-1579858] 1 [1737121:6686980:12167]
17640r (1 curve)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7- -2 -5  4 -3
Curve Equation t Generators 17640r1 [0,0,0,-3108,-1419068] 1 [506:11250:1]
17640s (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  4 -2 -2  0
Curve Equation t Generators 17640s1 [0,0,0,3822,27097] 2 [77:882:1] 17640s2 [0,0,0,-16023,221578] 4 [-126:490:1] 17640s3 [0,0,0,-148323,-21819602] 2 [-234:274:1] 17640s4 [0,0,0,-201243,34709542] 2 [119:3528:1]
17640t (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  4  6 -2  8
Curve Equation t Generators 17640t1 [0,0,0,-31458,-2058343] 2 [-112:245:1] 17640t2 [0,0,0,-86583,7125482] 4 [46:1800:1] 17640t3 [0,0,0,-1277283,555561902] 2 [1183:26460:1] 17640t4 [0,0,0,222117,46453862] 2 [1418:56680:1]
17640u (2 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7- -4  2  0  2
Curve Equation t Generators 17640u1 [0,0,0,357,-2842] 2 [14:70:1] 17640u2 [0,0,0,-2163,-27538] 2 [86:650:1]
17640v (2 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7- -4  2 -6  2
Curve Equation t Generators 17640v1 [0,0,0,-413238,-102246487] 2 [2716:137151:1] 17640v2 [0,0,0,-411663,-103064542] 2 [931553:47044348:343]
17640w (1 curve)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  5 -7 -3  2
Curve Equation t Generators 17640w1 [0,0,0,-53508,4773188] 1 [98:686:1]
17640x (2 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  6  2  4 -8
Curve Equation t Generators 17640x1 [0,0,0,-377643,89177942] 2 [247:3312:1] 17640x2 [0,0,0,-254163,148473038] 2 [4034:97497:8]
17640y (1 curve)	1	2+ 3- 5- 7+	2+ 3- 5- 7+  1 -3  2 -5
Curve Equation t Generators 17640y1 [0,0,0,-105987,-15448034] 1 [422:3870:1]
17640z (1 curve)	1	2+ 3- 5- 7+	2+ 3- 5- 7+ -2  0 -4 -2
Curve Equation t Generators 17640z1 [0,0,0,-147,4606] 1 [15:76:1]
17640ba (1 curve)	1	2+ 3- 5- 7+	2+ 3- 5- 7+ -2  5 -4  3
Curve Equation t Generators 17640ba1 [0,0,0,-152292,486740324] 1 [1078:-39690:1]
17640bb (2 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  0  2 -2 -2
Curve Equation t 17640bb1 [0,0,0,-121422,91144361] 2 17640bb2 [0,0,0,-3872127,2921426354] 2
17640bc (1 curve)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  1  5 -4 -5
Curve Equation t 17640bc1 [0,0,0,75453,251426014] 1
17640bd (6 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  4  2  2  4
Curve Equation t 17640bd1 [0,0,0,-77322,8275561] 4 17640bd2 [0,0,0,-79527,7778554] 4 17640bd3 [0,0,0,-300027,-54887546] 4 17640bd4 [0,0,0,105693,38636206] 2 17640bd5 [0,0,0,-4621827,-3824361506] 2 17640bd6 [0,0,0,493773,-296043986] 2
17640be (6 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  4 -6 -6  4
Curve Equation t 17640be1 [0,0,0,-6762,213689] 2 17640be2 [0,0,0,-8967,62426] 4 17640be3 [0,0,0,-88347,-10050586] 4 17640be4 [0,0,0,35133,494606] 2 17640be5 [0,0,0,-1411347,-645355186] 2 17640be6 [0,0,0,-35427,-21978754] 2
17640bf (6 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -4  2  2 -4
Curve Equation t 17640bf1 [0,0,0,-6762,880481] 2 17640bf2 [0,0,0,-185367,30636074] 4 17640bf3 [0,0,0,-264747,1852886] 4 17640bf4 [0,0,0,-2963667,1963777214] 2 17640bf5 [0,0,0,-2857827,-1853236546] 2 17640bf6 [0,0,0,1058253,14818286] 2
17640bg (6 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -4  2 -6 -4
Curve Equation t 17640bg1 [0,0,0,-324282,71077489] 2 17640bg2 [0,0,0,-326487,70061866] 4 17640bg3 [0,0,0,-758667,-154412426] 4 17640bg4 [0,0,0,70413,229536286] 2 17640bg5 [0,0,0,-10760547,-13582936514] 2 17640bg6 [0,0,0,2328333,-1092243026] 2
17640bh (2 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -4 -2  0 -2
Curve Equation t 17640bh1 [0,0,0,17493,974806] 2 17640bh2 [0,0,0,-105987,9445534] 2
17640bi (2 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -4 -2  6 -2
Curve Equation t 17640bi1 [0,0,0,-20248662,35070545041] 2 17640bi2 [0,0,0,-20171487,35351137906] 2
17640bj (1 curve)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -4  5  6  5
Curve Equation t 17640bj1 [0,0,0,-28812,-3563084] 1
17640bk (1 curve)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  5  7  3 -2
Curve Equation t 17640bk1 [0,0,0,-1092,-13916] 1
17640bl (2 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  6 -2 -4  8
Curve Equation t 17640bl1 [0,0,0,-7707,-259994] 2 17640bl2 [0,0,0,-5187,-432866] 2
17640bm (2 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7-  2  2  6  0
Curve Equation t Generators 17640bm1 [0,0,0,882,6517] 2 [14:147:1] 17640bm2 [0,0,0,-4263,56938] 2 [-7:294:1]
17640bn (2 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7- -2 -2  6 -2
Curve Equation t Generators 17640bn1 [0,0,0,-378,-1323] 2 [-14:35:1] 17640bn2 [0,0,0,-5103,-140238] 2 [-41:8:1]
17640bo (2 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7- -2 -2 -6 -2
Curve Equation t Generators 17640bo1 [0,0,0,-241184223,1441688560578] 2 [-159:1216566:1] 17640bo2 [0,0,0,-241369443,1439363345742] 2 [-358241:2671606664:2197]
17640bp (2 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7-  6 -2  2  6
Curve Equation t Generators 17640bp1 [0,0,0,-63,98] 2 [-7:14:1] 17640bp2 [0,0,0,-483,-4018] 2 [-13:8:1]
17640bq (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  2  2  2  8
Curve Equation t 17640bq1 [0,0,0,-15582,-731619] 2 17640bq2 [0,0,0,2793,-2352294] 2
17640br (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  2 -4  2 -4
Curve Equation t 17640br1 [0,0,0,-147,6174] 2 17640br2 [0,0,0,-6027,179046] 2
17640bs (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  2  6  2 -4
Curve Equation t 17640bs1 [0,0,0,-7136262,-8305551891] 2 17640bs2 [0,0,0,-118314567,-495333234774] 2
17640bt (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7- -2  2  6  2
Curve Equation t 17640bt1 [0,0,0,-4922127,-4203173646] 2 17640bt2 [0,0,0,-4925907,-4196394594] 2
17640bu (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7- -2  2 -6  2
Curve Equation t 17640bu1 [0,0,0,-18522,453789] 2 17640bu2 [0,0,0,-250047,48101634] 2
17640bv (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7- -4 -6 -4  2
Curve Equation t 17640bv1 [0,0,0,-11907,-240786] 2 17640bv2 [0,0,0,41013,-1796634] 2
17640bw (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  6  2 -2 -6
Curve Equation t 17640bw1 [0,0,0,-3087,-33614] 2 17640bw2 [0,0,0,-23667,1378174] 2
17640bx (1 curve)	1	2- 3- 5+ 7+	2- 3- 5+ 7+  0 -1 -2  3
Curve Equation t Generators 17640bx1 [0,0,0,316932,79453892] 1 [121:10935:1]
17640by (4 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  0  2  6  4
Curve Equation t 17640by1 [0,0,0,3822,-750827] 2 17640by2 [0,0,0,-104223,-12398078] 4 17640by3 [0,0,0,-1647723,-814091978] 2 17640by4 [0,0,0,-289443,43871758] 2
17640bz (2 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  0 -2  2  6
Curve Equation t 17640bz1 [0,0,0,-22638,991613] 2 17640bz2 [0,0,0,54537,6285818] 2
17640ca (4 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  0  6 -2 -4
Curve Equation t 17640ca1 [0,0,0,1617,-11662] 2 17640ca2 [0,0,0,-7203,-98098] 4 17640ca3 [0,0,0,-95403,-11334778] 2 17640ca4 [0,0,0,-60123,5606678] 2
17640cb (4 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  0 -6 -2 -4
Curve Equation t 17640cb1 [0,0,0,-12344178,-16690170427] 2 17640cb2 [0,0,0,-13722303,-12733022302] 4 17640cb3 [0,0,0,-89353803,315613571798] 2 17640cb4 [0,0,0,39859197,-87822136402] 2
17640cc (1 curve)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  2 -1  0 -3
Curve Equation t 17640cc1 [0,0,0,-35121828,80115002548] 1
17640cd (1 curve)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  2 -4  0 -6
Curve Equation t 17640cd1 [0,0,0,357,-16058] 1
17640ce (2 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  2  6  0  4
Curve Equation t 17640ce1 [0,0,0,-1242003,-532681058] 2 17640ce2 [0,0,0,-1118523,-642800522] 2
17640cf (1 curve)	0	2- 3- 5+ 7-	2- 3- 5+ 7- -3  1  5 -6
Curve Equation t 17640cf1 [0,0,0,1932,-102508] 1
17640cg (1 curve)	0	2- 3- 5+ 7-	2- 3- 5+ 7- -3 -1  0  7
Curve Equation t 17640cg1 [0,0,0,357,-938] 1
17640ch (4 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7- -4  2 -6  0
Curve Equation t 17640ch1 [0,0,0,-139503,-20053838] 2 17640ch2 [0,0,0,-148323,-17374322] 4 17640ch3 [0,0,0,-765723,242798038] 2 17640ch4 [0,0,0,327957,-106057658] 2
17640ci (2 curves)	2	2- 3- 5+ 7-	2- 3- 5+ 7- -4 -6 -6 -2
Curve Equation t Generators 17640ci1 [0,0,0,42,637] 2 [-6:13:1]&[2:27:1] 17640ci2 [0,0,0,-903,9898] 2 [119:-1260:1]&[-31:90:1]
17640cj (1 curve)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  5 -1  3  6
Curve Equation t 17640cj1 [0,0,0,-588,42532] 1
17640ck (1 curve)	0	2- 3- 5- 7+	2- 3- 5- 7+  2  1  0  3
Curve Equation t 17640ck1 [0,0,0,-716772,-233571436] 1
17640cl (1 curve)	0	2- 3- 5- 7+	2- 3- 5- 7+  2  4  0  6
Curve Equation t 17640cl1 [0,0,0,17493,5507894] 1
17640cm (1 curve)	0	2- 3- 5- 7+	2- 3- 5- 7+ -3  1  0 -7
Curve Equation t 17640cm1 [0,0,0,17493,321734] 1
17640cn (1 curve)	1	2- 3- 5- 7-	2- 3- 5- 7-  0  1  2 -3
Curve Equation t Generators 17640cn1 [0,0,0,6468,-231644] 1 [32:90:1]
17640co (2 curves)	1	2- 3- 5- 7-	2- 3- 5- 7-  0  2 -2 -6
Curve Equation t Generators 17640co1 [0,0,0,-462,-2891] 2 [-10:27:1] 17640co2 [0,0,0,1113,-18326] 2 [35:252:1]
17640cp (4 curves)	1	2- 3- 5- 7-	2- 3- 5- 7-  0 -2  2  0
Curve Equation t Generators 17640cp1 [0,0,0,-6762,64141] 4 [-70:441:1] 17640cp2 [0,0,0,-61887,-5878334] 4 [-145:216:1] 17640cp3 [0,0,0,-987987,-377985314] 2 [1190:11466:1] 17640cp4 [0,0,0,-17787,-14089754] 2 [590:13446:1]
17640cq (2 curves)	1	2- 3- 5- 7-	2- 3- 5- 7-  2 -6  0 -4
Curve Equation t Generators 17640cq1 [0,0,0,-25347,1553006] 2 [-5:1296:1] 17640cq2 [0,0,0,-22827,1874054] 2 [238:3150:1]
17640cr (1 curve)	1	2- 3- 5- 7-	2- 3- 5- 7- -3 -1 -5  6
Curve Equation t Generators 17640cr1 [0,0,0,94668,35160244] 1 [588:17150:1]
17640cs (4 curves)	1	2- 3- 5- 7-	2- 3- 5- 7- -4  2  2 -4
Curve Equation t Generators 17640cs1 [0,0,0,-882,9261] 2 [30:99:1] 17640cs2 [0,0,0,-3087,-55566] 4 [-35:98:1] 17640cs3 [0,0,0,-47187,-3945186] 2 [-125:8:1] 17640cs4 [0,0,0,5733,-314874] 2 [91:980:1]
17640ct (2 curves)	1	2- 3- 5- 7-	2- 3- 5- 7- -4  6  6  2
Curve Equation t Generators 17640ct1 [0,0,0,2058,-218491] 2 [50:97:1] 17640ct2 [0,0,0,-44247,-3395014] 2 [-143:90:1]
17640cu (1 curve)	1	2- 3- 5- 7-	2- 3- 5- 7-  5  5 -7  2
Curve Equation t Generators 17640cu1 [0,0,0,-181692,30709476] 1 [112:3430:1]

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