Cremona's table of elliptic curves

67650 = 2 · 3 · 5² · 11 · 41

Class	r	Atkin-Lehner	Eigenvalues
67650a (1 curve)	1	2+ 3+ 5+ 11+ 41+	2+ 3+ 5+ -1 11+  0  1  4
Curve Equation t Generators 67650a1 [1,1,0,-20026884625,-1090867935312875] 1 [10262529927877838758707567688171913643282887309914236150710850797643302725293150212376150930:8760324737372485977490498542583988458178234519979278713769678130753040617422004638696774868535:13541654893563679261103993990367344923441638163808909179943908324861216804881766295497]
67650b (1 curve)	1	2+ 3+ 5+ 11+ 41+	2+ 3+ 5+ -1 11+  0  4 -5
Curve Equation t Generators 67650b1 [1,1,0,1350,67500] 1 [-25:150:1]
67650c (2 curves)	1	2+ 3+ 5+ 11+ 41+	2+ 3+ 5+  2 11+  6 -2 -8
Curve Equation t Generators 67650c1 [1,1,0,-287700,8658000] 2 [-303201:5635412:729] 67650c2 [1,1,0,-2911700,-1904238000] 2 [-56607171507:203082708284:57960603]
67650d (2 curves)	1	2+ 3+ 5+ 11+ 41+	2+ 3+ 5+ -2 11+  2  6  0
Curve Equation t Generators 67650d1 [1,1,0,-2750,-55500] 2 [-258:375:8] 67650d2 [1,1,0,-43750,-3540500] 2 [21940:288505:64]
67650e (2 curves)	1	2+ 3+ 5+ 11+ 41+	2+ 3+ 5+  4 11+  0  6  4
Curve Equation t Generators 67650e1 [1,1,0,-157275000,759102054000] 2 [14892522920:-16595695460:2048383] 67650e2 [1,1,0,-157254500,759309862500] 2 [5680:219410:1]
67650f (1 curve)	1	2+ 3+ 5+ 11+ 41+	2+ 3+ 5+  4 11+ -1  3 -3
Curve Equation t Generators 67650f1 [1,1,0,-41025,5131125] 1 [478:13379:8]
67650g (1 curve)	0	2+ 3+ 5+ 11+ 41-	2+ 3+ 5+  0 11+ -1  0 -1
Curve Equation t 67650g1 [1,1,0,161550,130936500] 1
67650h (6 curves)	0	2+ 3+ 5+ 11+ 41-	2+ 3+ 5+  0 11+  2  6 -4
Curve Equation t 67650h1 [1,1,0,-17036000,27055200000] 2 67650h2 [1,1,0,-18286000,22853950000] 4 67650h3 [1,1,0,43726500,144460462500] 2 67650h4 [1,1,0,-100298500,-367607562500] 4 67650h5 [1,1,0,69902750,-1487361586250] 2 67650h6 [1,1,0,-1582699750,-24235750088750] 2
67650i (2 curves)	0	2+ 3+ 5+ 11+ 41-	2+ 3+ 5+  1 11+  1 -6  2
Curve Equation t 67650i1 [1,1,0,-6224075,-24098647875] 1 67650i2 [1,1,0,-854924075,-9621825547875] 1
67650j (1 curve)	0	2+ 3+ 5+ 11- 41+	2+ 3+ 5+ -2 11- -3  4  2
Curve Equation t 67650j1 [1,1,0,-495,-4455] 1
67650k (6 curves)	1	2+ 3+ 5+ 11- 41-	2+ 3+ 5+  0 11-  2 -2  4
Curve Equation t Generators 67650k1 [1,1,0,-581500,170434000] 2 [445:-410:1] 67650k2 [1,1,0,-583500,169200000] 4 [-420:18660:1] 67650k3 [1,1,0,-71000,456712500] 2 [-650:15450:1] 67650k4 [1,1,0,-1128000,-197248500] 4 [-541:16240:1] 67650k5 [1,1,0,4028250,-1491467250] 2 [2615:162805:1] 67650k6 [1,1,0,-14996250,-22344843750] 2 [-2191:1390:1]
67650l (4 curves)	1	2+ 3+ 5+ 11- 41-	2+ 3+ 5+  0 11-  6  6 -4
Curve Equation t Generators 67650l1 [1,1,0,-8475,244125] 2 [431:8553:1] 67650l2 [1,1,0,-40475,-2923875] 4 [-131:455:1] 67650l3 [1,1,0,41525,-13173875] 2 [330:-6215:1] 67650l4 [1,1,0,-634475,-194785875] 2 [1795:65840:1]
67650m (2 curves)	1	2+ 3+ 5+ 11- 41-	2+ 3+ 5+ -3 11- -4 -3  0
Curve Equation t Generators 67650m1 [1,1,0,25625,3203125] 1 [30:1985:1] 67650m2 [1,1,0,-2441875,-1483439375] 1 [2880:-125465:1]
67650n (2 curves)	1	2+ 3+ 5+ 11- 41-	2+ 3+ 5+ -3 11- -4 -8 -5
Curve Equation t Generators 67650n1 [1,1,0,27191500,-41259726000] 1 [7245:728565:1] 67650n2 [1,1,0,-4772568500,-126907119966000] 1 [201045:83802390:1]
67650o (1 curve)	1	2+ 3+ 5+ 11- 41-	2+ 3+ 5+ -3 11-  5 -6 -6
Curve Equation t Generators 67650o1 [1,1,0,-275,1815] 1 [11:11:1]
67650p (1 curve)	0	2+ 3+ 5- 11+ 41+	2+ 3+ 5-  2 11+ -4  3  7
Curve Equation t 67650p1 [1,1,0,-83825,-9375225] 1
67650q (1 curve)	1	2+ 3+ 5- 11+ 41-	2+ 3+ 5-  3 11+  6 -3 -6
Curve Equation t Generators 67650q1 [1,1,0,-7450,-273500] 1 [4620:48190:27]
67650r (1 curve)	1	2+ 3+ 5- 11- 41+	2+ 3+ 5-  0 11- -1  4  0
Curve Equation t Generators 67650r1 [1,1,0,1925,92125] 1 [85:895:1]
67650s (1 curve)	1	2+ 3+ 5- 11- 41+	2+ 3+ 5-  0 11- -1  4  5
Curve Equation t Generators 67650s1 [1,1,0,-1065575,893545875] 1 [1213205:69175910:343]
67650t (1 curve)	1	2+ 3+ 5- 11- 41+	2+ 3+ 5-  3 11-  2  4 -3
Curve Equation t Generators 67650t1 [1,1,0,-88545,10104525] 1 [175:-5:1]
67650u (2 curves)	0	2+ 3+ 5- 11- 41-	2+ 3+ 5-  2 11- -4 -3  5
Curve Equation t 67650u1 [1,1,0,-1803500,-932980200] 1 67650u2 [1,1,0,-6408825,5236057125] 1
67650v (1 curve)	0	2+ 3+ 5- 11- 41-	2+ 3+ 5-  2 11- -5  4 -6
Curve Equation t 67650v1 [1,1,0,45925,532125] 1
67650w (1 curve)	0	2+ 3- 5+ 11+ 41+	2+ 3- 5+  1 11+  0 -7 -4
Curve Equation t 67650w1 [1,0,1,6599,-26334052] 1
67650x (1 curve)	0	2+ 3- 5+ 11+ 41+	2+ 3- 5+  2 11+  4  1 -5
Curve Equation t 67650x1 [1,0,1,-3537201,2528065798] 1
67650y (1 curve)	0	2+ 3- 5+ 11+ 41+	2+ 3- 5+ -2 11+ -3  8  2
Curve Equation t 67650y1 [1,0,1,-3626,-91852] 1
67650z (1 curve)	1	2+ 3- 5+ 11+ 41-	2+ 3- 5+  0 11+  1 -3 -5
Curve Equation t Generators 67650z1 [1,0,1,-276,2698] 1 [16:41:1]
67650ba (1 curve)	1	2+ 3- 5+ 11+ 41-	2+ 3- 5+  2 11+  1  4 -2
Curve Equation t Generators 67650ba1 [1,0,1,-480026,210903698] 1 [3372:190501:1]
67650bb (1 curve)	1	2+ 3- 5+ 11+ 41-	2+ 3- 5+ -3 11+ -4  4 -7
Curve Equation t Generators 67650bb1 [1,0,1,-18651,-1147802] 1 [3562:210656:1]
67650bc (1 curve)	1	2+ 3- 5+ 11+ 41-	2+ 3- 5+ -5 11+  6  7 -5
Curve Equation t Generators 67650bc1 [1,0,1,-3753776,-4648326802] 1 [8193:-721433:1]
67650bd (4 curves)	1	2+ 3- 5+ 11- 41+	2+ 3- 5+  0 11- -2  2 -4
Curve Equation t Generators 67650bd1 [1,0,1,874,2648] 2 [17:141:1] 67650bd2 [1,0,1,-3626,20648] 4 [3:97:1] 67650bd3 [1,0,1,-34376,-2439352] 2 [1292:45291:1] 67650bd4 [1,0,1,-44876,3650648] 2 [128:24:1]
67650be (1 curve)	1	2+ 3- 5+ 11- 41+	2+ 3- 5+  0 11- -2 -7 -1
Curve Equation t Generators 67650be1 [1,0,1,-49745326,-135035217952] 1 [-4064:5567:1]
67650bf (1 curve)	1	2+ 3- 5+ 11- 41+	2+ 3- 5+  1 11-  2  1  1
Curve Equation t Generators 67650bf1 [1,0,1,224,-802] 1 [13:59:1]
67650bg (2 curves)	1	2+ 3- 5+ 11- 41+	2+ 3- 5+  2 11- -2  6  0
Curve Equation t Generators 67650bg1 [1,0,1,-2076,25798] 2 [-13:231:1] 67650bg2 [1,0,1,-12326,-507202] 2 [-54:67:1]
67650bh (1 curve)	1	2+ 3- 5+ 11- 41+	2+ 3- 5+  2 11- -5  0 -6
Curve Equation t Generators 67650bh1 [1,0,1,492849,45581698] 1 [572:-22974:1]
67650bi (2 curves)	1	2+ 3- 5+ 11- 41+	2+ 3- 5+ -2 11-  2 -2 -8
Curve Equation t Generators 67650bi1 [1,0,1,-295376,57738398] 2 [8:7437:1] 67650bi2 [1,0,1,-951376,-288629602] 2 [1102:686:1]
67650bj (1 curve)	0	2+ 3- 5+ 11- 41-	2+ 3- 5+  2 11-  4  7  1
Curve Equation t 67650bj1 [1,0,1,-41,-52] 1
67650bk (4 curves)	0	2+ 3- 5+ 11- 41-	2+ 3- 5+  4 11- -2  6 -4
Curve Equation t 67650bk1 [1,0,1,-542626,20332148] 2 67650bk2 [1,0,1,-5542626,-4999667852] 4 67650bk3 [1,0,1,-2517626,-10432567852] 2 67650bk4 [1,0,1,-88567626,-320826767852] 2
67650bl (2 curves)	0	2+ 3- 5- 11+ 41-	2+ 3- 5-  2 11+ -1  0  2
Curve Equation t 67650bl1 [1,0,1,88674,-80163452] 3 67650bl2 [1,0,1,-11673201,-15356763452] 1
67650bm (1 curve)	0	2+ 3- 5- 11- 41+	2+ 3- 5-  3 11- -2  5  6
Curve Equation t 67650bm1 [1,0,1,-36436,-2679982] 1
67650bn (2 curves)	0	2+ 3- 5- 11- 41+	2+ 3- 5- -4 11-  2 -4  6
Curve Equation t 67650bn1 [1,0,1,-642451,-201261202] 2 67650bn2 [1,0,1,-10322451,-12765901202] 2
67650bo (2 curves)	0	2- 3+ 5+ 11+ 41+	2- 3+ 5+  2 11+  0 -2  4
Curve Equation t 67650bo1 [1,1,1,-255763,-49844719] 2 67650bo2 [1,1,1,-191763,-75316719] 2
67650bp (2 curves)	2	2- 3+ 5+ 11+ 41+	2- 3+ 5+ -2 11+ -4 -6  0
Curve Equation t Generators 67650bp1 [1,1,1,-18988,760781] 2 [685:-17943:1]&[-151:537:1] 67650bp2 [1,1,1,45012,4856781] 2 [165:-4183:1]&[-35:1817:1]
67650bq (1 curve)	0	2- 3+ 5+ 11+ 41+	2- 3+ 5+  5 11+  4  0  5
Curve Equation t 67650bq1 [1,1,1,112062,-26613969] 1
67650br (2 curves)	1	2- 3+ 5+ 11+ 41-	2- 3+ 5+  1 11+  4 -3 -4
Curve Equation t Generators 67650br1 [1,1,1,32912,-16252219] 1 [2605:131947:1] 67650br2 [1,1,1,-3979963,-3058841719] 1 [3981065:142633802:1331]
67650bs (2 curves)	1	2- 3+ 5+ 11+ 41-	2- 3+ 5+ -2 11+  1  0  2
Curve Equation t Generators 67650bs1 [1,1,1,3547,-639889] 1 [3117:29506:27] 67650bs2 [1,1,1,-466928,-123040879] 1 [7417047:3883736911:27]
67650bt (2 curves)	1	2- 3+ 5+ 11+ 41-	2- 3+ 5+  4 11+ -5 -3  5
Curve Equation t Generators 67650bt1 [1,1,1,-181113,29609031] 1 [261:-582:1] 67650bt2 [1,1,1,172512,125641281] 1 [-339:5493:1]
67650bu (4 curves)	1	2- 3+ 5+ 11+ 41-	2- 3+ 5+ -4 11+  2  6  4
Curve Equation t Generators 67650bu1 [1,1,1,310062,-500823969] 4 [1449:53987:1] 67650bu2 [1,1,1,-7881938,-8135767969] 4 [-1675:20087:1] 67650bu3 [1,1,1,-22313938,30137896031] 2 [11445:1123027:1] 67650bu4 [1,1,1,-124521938,-534882007969] 2 [-6441:4327:1]
67650bv (2 curves)	1	2- 3+ 5+ 11- 41+	2- 3+ 5+  0 11-  2  2  4
Curve Equation t Generators 67650bv1 [1,1,1,-688,-7219] 2 [109448:1537259:512] 67650bv2 [1,1,1,-438,-12219] 2 [6830:196231:8]
67650bw (2 curves)	1	2- 3+ 5+ 11- 41+	2- 3+ 5+  1 11-  4  0  5
Curve Equation t Generators 67650bw1 [1,1,1,-7581563,-8055388969] 1 [126960060:34325784731:1728] 67650bw2 [1,1,1,-614472188,-5863007170219] 1 [387689162327443140:99480375218555600389:5149038272832]
67650bx (1 curve)	1	2- 3+ 5+ 11- 41+	2- 3+ 5+ -3 11-  2  5  1
Curve Equation t Generators 67650bx1 [1,1,1,-11963,702281] 1 [-21:982:1]
67650by (4 curves)	1	2- 3+ 5+ 11- 41+	2- 3+ 5+  4 11- -2 -6 -4
Curve Equation t Generators 67650by1 [1,1,1,-767138,258298031] 2 [455:1697:1] 67650by2 [1,1,1,-763138,261130031] 2 [229:9807:1] 67650by3 [1,1,1,-911513,154117031] 2 [-25:13312:1] 67650by4 [1,1,1,3184487,1161733031] 2 [-145:26472:1]
67650bz (4 curves)	1	2- 3+ 5+ 11- 41+	2- 3+ 5+ -4 11- -2 -6 -4
Curve Equation t Generators 67650bz1 [1,1,1,65312,28257281] 2 [1045:34677:1] 67650bz2 [1,1,1,-1086688,406113281] 4 [-95:22597:1] 67650bz3 [1,1,1,-3546688,-2093246719] 2 [-695:6397:1] 67650bz4 [1,1,1,-17058688,27111297281] 2 [2545:-15023:1]
67650ca (2 curves)	0	2- 3+ 5+ 11- 41-	2- 3+ 5+  0 11-  0  2  0
Curve Equation t 67650ca1 [1,1,1,-74813,3944531] 2 67650ca2 [1,1,1,253187,29528531] 2
67650cb (4 curves)	0	2- 3+ 5+ 11- 41-	2- 3+ 5+  4 11-  4 -6  8
Curve Equation t 67650cb1 [1,1,1,-8380987088,295002851535281] 2 67650cb2 [1,1,1,-6175515088,453849766863281] 2 67650cb3 [1,1,1,-32033287463,-1904947407229219] 2 67650cb4 [1,1,1,53949944537,-10370340530557219] 2
67650cc (1 curve)	1	2- 3+ 5- 11+ 41+	2- 3+ 5- -2 11+ -4 -1 -5
Curve Equation t Generators 67650cc1 [1,1,1,-141488,20167931] 1 [-570:44021:8]
67650cd (1 curve)	0	2- 3+ 5- 11- 41+	2- 3+ 5-  0 11-  2  7 -1
Curve Equation t 67650cd1 [1,1,1,-1989813,-1081077669] 1
67650ce (1 curve)	0	2- 3+ 5- 11- 41+	2- 3+ 5- -3 11-  2 -5  6
Curve Equation t 67650ce1 [1,1,1,-910888,-334997719] 1
67650cf (2 curves)	0	2- 3+ 5- 11- 41+	2- 3+ 5-  4 11- -2  4  6
Curve Equation t 67650cf1 [1,1,1,-25698,-1620369] 2 67650cf2 [1,1,1,-412898,-102292369] 2
67650cg (1 curve)	1	2- 3+ 5- 11- 41-	2- 3+ 5- -2 11- -4 -7  1
Curve Equation t Generators 67650cg1 [1,1,1,-1013,-6469] 1 [-15:-68:1]
67650ch (1 curve)	1	2- 3- 5+ 11+ 41+	2- 3- 5+ -2 11+  4 -3  7
Curve Equation t Generators 67650ch1 [1,0,0,-2095638,-1167711858] 1 [-22603759885060745509658364520062:20698590979662786065435428219665:27132107230972784913595678808]
67650ci (1 curve)	1	2- 3- 5+ 11+ 41+	2- 3- 5+ -2 11+ -5  0 -2
Curve Equation t Generators 67650ci1 [1,0,0,-156338,29084292] 1 [172:2614:1]
67650cj (2 curves)	1	2- 3- 5+ 11+ 41+	2- 3- 5+  4 11+ -6  2 -4
Curve Equation t Generators 67650cj1 [1,0,0,-638,5892] 2 [48:270:1] 67650cj2 [1,0,0,362,22892] 2 [-14:130:1]
67650ck (1 curve)	0	2- 3- 5+ 11+ 41-	2- 3- 5+ -1 11+ -4  5  4
Curve Equation t 67650ck1 [1,0,0,187,117] 1
67650cl (2 curves)	0	2- 3- 5+ 11+ 41-	2- 3- 5+  4 11+ -4 -6  8
Curve Equation t 67650cl1 [1,0,0,-91213,-10473583] 2 67650cl2 [1,0,0,-9213,-28595583] 2
67650cm (4 curves)	0	2- 3- 5+ 11+ 41-	2- 3- 5+  4 11+ -6 -2 -4
Curve Equation t 67650cm1 [1,0,0,18562,1575492] 4 67650cm2 [1,0,0,-143438,16965492] 4 67650cm3 [1,0,0,-705938,-213097008] 2 67650cm4 [1,0,0,-2172938,1232635992] 2
67650cn (1 curve)	0	2- 3- 5+ 11+ 41-	2- 3- 5+ -5 11+  6 -5 -1
Curve Equation t 67650cn1 [1,0,0,-241058413,1440540580817] 1
67650co (1 curve)	0	2- 3- 5+ 11- 41+	2- 3- 5+  0 11-  1 -4  5
Curve Equation t 67650co1 [1,0,0,-42623,7148367] 1
67650cp (2 curves)	0	2- 3- 5+ 11- 41+	2- 3- 5+ -2 11- -4 -6  8
Curve Equation t 67650cp1 [1,0,0,-23238,-1365408] 2 67650cp2 [1,0,0,-22988,-1396158] 2
67650cq (1 curve)	0	2- 3- 5+ 11- 41+	2- 3- 5+ -3 11-  4 -4 -1
Curve Equation t 67650cq1 [1,0,0,-272713,72551417] 1
67650cr (2 curves)	1	2- 3- 5+ 11- 41-	2- 3- 5+ -2 11-  4  3  5
Curve Equation t Generators 67650cr1 [1,0,0,-256353,41888457] 5 [-564:2955:1] 67650cr2 [1,0,0,-45087513,-116532349983] 1 [-484680:250803:125]
67650cs (1 curve)	1	2- 3- 5+ 11- 41-	2- 3- 5+ -2 11-  5 -4 -6
Curve Equation t Generators 67650cs1 [1,0,0,1837,4257] 1 [46:409:1]
67650ct (1 curve)	1	2- 3- 5- 11+ 41-	2- 3- 5-  0 11+  1  0 -1
Curve Equation t Generators 67650ct1 [1,0,0,6462,1047492] 1 [-12:990:1]
67650cu (2 curves)	1	2- 3- 5- 11+ 41-	2- 3- 5- -1 11+ -1  6  2
Curve Equation t Generators 67650cu1 [1,0,0,-248963,-192789183] 3 [1582:-58871:1] 67650cu2 [1,0,0,-34196963,-76974604383] 1 [30856:5299255:1]
67650cv (1 curve)	1	2- 3- 5- 11+ 41-	2- 3- 5- -3 11+ -6  3 -6
Curve Equation t Generators 67650cv1 [1,0,0,-298,-2188] 1 [22:34:1]
67650cw (1 curve)	1	2- 3- 5- 11- 41+	2- 3- 5-  0 11-  1 -4  0
Curve Equation t Generators 67650cw1 [1,0,0,77,737] 1 [2:-31:1]
67650cx (1 curve)	1	2- 3- 5- 11- 41+	2- 3- 5-  2 11-  3 -4  2
Curve Equation t Generators 67650cx1 [1,0,0,-12388,-532108] 1 [152:974:1]
67650cy (1 curve)	1	2- 3- 5- 11- 41+	2- 3- 5- -3 11- -2 -4 -3
Curve Equation t Generators 67650cy1 [1,0,0,-2213638,1267492892] 1 [602:12074:1]
67650cz (1 curve)	0	2- 3- 5- 11- 41-	2- 3- 5-  3 11- -5  6 -6
Curve Equation t 67650cz1 [1,0,0,-6888,240642] 1

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