Cremona's table of elliptic curves

68450 = 2 · 5² · 37²

Class	r	Atkin-Lehner	Eigenvalues
68450a (4 curves)	1	2+ 5+ 37+	2+  0 5+  0 -4  2 -2  4
Curve Equation t Generators 68450a1 [1,-1,0,-177542,23590116] 2 [35:4156:1] 68450a2 [1,-1,0,-862042,-286488384] 4 [-2155345:-12026872:4913] 68450a3 [1,-1,0,849208,-1284147134] 2 [38216192016105:-4650692391826802:2610969633] 68450a4 [1,-1,0,-13525292,-19142067634] 2 [-2986605274363705:1949266686224462:1406057262427]
68450b (1 curve)	1	2+ 5+ 37+	2+  1 5+ -4  3  6  3  3
Curve Equation t Generators 68450b1 [1,0,1,-4136,-646112] 1 [9763098:2070774239:216]
68450c (2 curves)	1	2+ 5+ 37+	2+ -1 5+ -2  0  5  0 -2
Curve Equation t Generators 68450c1 [1,1,0,-250,1250] 1 [5:10:1] 68450c2 [1,1,0,-4875,-132875] 1 [-330:265:8]
68450d (4 curves)	1	2+ 5+ 37+	2+ -1 5+ -2 -3 -4 -3 -5
Curve Equation t Generators 68450d1 [1,1,0,-4135,121685] 1 [89:640:1] 68450d2 [1,1,0,30090,-898220] 1 [342:5305:8] 68450d3 [1,1,0,-17825,-10816625] 1 [12837:247531:27] 68450d4 [1,1,0,-4295950,-3429038500] 1 [8419647126:-1441399434287:287496]
68450e (3 curves)	1	2+ 5+ 37+	2+  2 5+  1  3 -4  3 -2
Curve Equation t Generators 68450e1 [1,1,0,-1831750,953472750] 1 [10110:200295:8] 68450e2 [1,1,0,-633875,2176503125] 1 [8702650:495675925:10648] 68450e3 [1,1,0,5697750,-58360163500] 1 [1251067154720416990:-142129933709386864745:98470322031752]
68450f (2 curves)	1	2+ 5+ 37+	2+  2 5+  4  0  2  0 -5
Curve Equation t Generators 68450f1 [1,1,0,-16274700,60383474000] 1 [-3643713932569738008:436153647658894596380:1484938545256503] 68450f2 [1,1,0,142015925,-1371038647875] 1 [52629037049587486368142994817370222221379871985462414786:10299943837879213729777751454709639691081745230534127024415:1478822064426285600312732989573875555017346198042299]
68450g (2 curves)	1	2+ 5+ 37+	2+  2 5+  4 -6  2  3 -2
Curve Equation t Generators 68450g1 [1,1,0,-1175,15125] 1 [19:1:1] 68450g2 [1,1,0,3450,84500] 1 [4916:55145:64]
68450h (1 curve)	1	2+ 5+ 37+	2+ -2 5+  0  2 -6  3 -2
Curve Equation t Generators 68450h1 [1,0,1,-976126,-913029852] 1 [326014694:37419844904:24389]
68450i (1 curve)	1	2+ 5+ 37+	2+ -2 5+  0 -5  1 -4  5
Curve Equation t Generators 68450i1 [1,0,1,-3026,-1409052] 1 [1272:44676:1]
68450j (1 curve)	1	2+ 5+ 37+	2+ -2 5+ -1  3  0  3  6
Curve Equation t Generators 68450j1 [1,0,1,427099,-153645552] 1 [29846:1833223:8]
68450k (1 curve)	1	2+ 5+ 37+	2+  3 5+  0  2 -1 -2 -2
Curve Equation t Generators 68450k1 [1,-1,0,-15667,506741] 1 [-82719:699022:729]
68450l (1 curve)	1	2+ 5+ 37+	2+ -3 5+  0 -1  2  7 -5
Curve Equation t Generators 68450l1 [1,-1,0,-4250317,3617742181] 1 [77173:21392424:1]
68450m (2 curves)	0	2+ 5+ 37-	2+  0 5+  2  4  2  6 -2
Curve Equation t 68450m1 [1,-1,0,-81598817,283626348841] 2 68450m2 [1,-1,0,-68935567,374637126591] 2
68450n (1 curve)	0	2+ 5+ 37-	2+  0 5+ -2 -6  2 -4  7
Curve Equation t 68450n1 [1,-1,0,1978633,-6772365459] 1
68450o (1 curve)	0	2+ 5+ 37-	2+  0 5+ -5 -3  2 -1 -2
Curve Equation t 68450o1 [1,-1,0,-55442,-5018284] 1
68450p (1 curve)	0	2+ 5- 37+	2+  0 5-  1 -3  4  3  0
Curve Equation t 68450p1 [1,-1,0,-13262,755196] 1
68450q (2 curves)	0	2+ 5- 37+	2+  0 5- -2  0 -2  6  6
Curve Equation t 68450q1 [1,-1,0,-29337242,-60227195084] 2 68450q2 [1,-1,0,-467417242,-3889484475084] 2
68450r (1 curve)	0	2+ 5- 37+	2+  0 5-  4 -3 -1 -6 -3
Curve Equation t 68450r1 [1,-1,0,-74867,-8136459] 1
68450s (1 curve)	0	2+ 5- 37+	2+  0 5- -4 -3 -1 -6  3
Curve Equation t 68450s1 [1,-1,0,-4099727,-3303648019] 1
68450t (1 curve)	0	2+ 5- 37+	2+  2 5-  0  4  2 -8  5
Curve Equation t 68450t1 [1,1,0,-17825,-74132875] 1
68450u (1 curve)	0	2+ 5- 37+	2+  3 5-  2  0 -1  6  0
Curve Equation t 68450u1 [1,-1,0,-127,581] 1
68450v (1 curve)	0	2+ 5- 37+	2+ -3 5- -2  0 -1  6  0
Curve Equation t 68450v1 [1,-1,0,-4352992,3478535416] 1
68450w (1 curve)	1	2+ 5- 37-	2+  0 5-  2 -6  2 -4 -7
Curve Equation t Generators 68450w1 [1,-1,0,58,-1084] 1 [28:134:1]
68450x (2 curves)	0	2- 5+ 37+	2- -1 5+ -2  0 -5  0  2
Curve Equation t 68450x1 [1,1,1,-342963,68457031] 1 68450x2 [1,1,1,-6674588,-6630402219] 1
68450y (4 curves)	0	2- 5+ 37+	2-  2 5+ -2  0  2  6 -2
Curve Equation t 68450y1 [1,1,1,-2567588,-866912219] 2 68450y2 [1,1,1,8384412,-6299104219] 2 68450y3 [1,1,1,-180537588,-933758272219] 2 68450y4 [1,1,1,-179853088,-941189204219] 2
68450z (2 curves)	0	2- 5+ 37+	2-  2 5+  4 -6 -2 -3  2
Curve Equation t 68450z1 [1,1,1,-1609288,790262281] 1 68450z2 [1,1,1,4722337,4209339781] 1
68450ba (1 curve)	0	2- 5+ 37+	2- -2 5+  0  2  6 -3  2
Curve Equation t 68450ba1 [1,0,0,-713,-18083] 1
68450bb (1 curve)	0	2- 5+ 37+	2- -2 5+  0  4 -2  8  5
Curve Equation t 68450bb1 [1,0,0,-713,-593063] 1
68450bc (1 curve)	0	2- 5+ 37+	2- -2 5+  0 -5 -1  4 -5
Curve Equation t 68450bc1 [1,0,0,-4141938,-71360272508] 1
68450bd (1 curve)	0	2- 5+ 37+	2-  3 5+  0  2  1  2  2
Curve Equation t 68450bd1 [1,-1,1,-21448380,25474917247] 1
68450be (2 curves)	1	2- 5+ 37-	2-  0 5+  2  4 -2 -6  2
Curve Equation t Generators 68450be1 [1,-1,1,-59605,5613897] 2 [-2250:3253:8] 68450be2 [1,-1,1,-50355,7408397] 2 [-152645050:-72431931:551368]
68450bf (1 curve)	1	2- 5+ 37-	2-  0 5+ -2 -6 -2  4 -7
Curve Equation t Generators 68450bf1 [1,-1,1,1445,-134053] 1 [65:448:1]
68450bg (1 curve)	1	2- 5+ 37-	2-  0 5+ -5 -3 -2  1  2
Curve Equation t Generators 68450bg1 [1,-1,1,-75900355,-254874241853] 1 [39359:7578270:1]
68450bh (1 curve)	1	2- 5- 37+	2-  0 5- -1 -3 -4 -3  0
Curve Equation t Generators 68450bh1 [1,-1,1,-331555,94067947] 1 [4863:-173570:27]
68450bi (2 curves)	1	2- 5- 37+	2-  0 5-  2  0  2 -6  6
Curve Equation t Generators 68450bi1 [1,-1,1,-1173490,-481582863] 2 [-687:431:1] 68450bi2 [1,-1,1,-18696690,-31112136463] 2 [-3323837:1653645:1331]
68450bj (1 curve)	1	2- 5- 37+	2-  0 5-  4 -3  1  6  3
Curve Equation t Generators 68450bj1 [1,-1,1,-102493180,-413058495553] 1 [22852922275655543:35556578163082486405:9434056897]
68450bk (1 curve)	1	2- 5- 37+	2-  0 5- -4 -3  1  6 -3
Curve Equation t Generators 68450bk1 [1,-1,1,-2995,-64493] 1 [139:-1550:1]
68450bl (4 curves)	1	2- 5- 37+	2-  1 5-  2 -3  4  3 -5
Curve Equation t Generators 68450bl1 [1,0,0,-713,-86533] 1 [3385251767810:12392059836109:59776471000] 68450bl2 [1,0,0,-171838,-27432308] 1 [67530:731506:125] 68450bl3 [1,0,0,-103388,15417392] 1 [838:18747:8] 68450bl4 [1,0,0,752237,-113781983] 1 [558:-22183:1]
68450bm (1 curve)	1	2- 5- 37+	2- -1 5-  4  3 -6 -3  3
Curve Equation t Generators 68450bm1 [1,1,1,-103388,-80763969] 1 [103108227990:1469113904223:170031464]
68450bn (2 curves)	1	2- 5- 37+	2- -2 5- -4  0 -2  0 -5
Curve Equation t Generators 68450bn1 [1,0,0,-650988,483067792] 1 [1446:49930:1] 68450bn2 [1,0,0,5680637,-10968309183] 1 [12398:1395657:1]
68450bo (1 curve)	1	2- 5- 37+	2-  3 5-  0 -1 -2 -7 -5
Curve Equation t Generators 68450bo1 [1,-1,1,-106257930,452111514697] 1 [72795:11583661:27]
68450bp (1 curve)	1	2- 5- 37+	2-  3 5-  2  0  1 -6  0
Curve Equation t Generators 68450bp1 [1,-1,1,-174120,27863107] 1 [-5127:201055:27]
68450bq (1 curve)	1	2- 5- 37+	2- -3 5- -2  0  1 -6  0
Curve Equation t Generators 68450bq1 [1,-1,1,-3180,69447] 1 [19:115:1]
68450br (1 curve)	0	2- 5- 37-	2-  0 5-  2 -6 -2  4  7
Curve Equation t 68450br1 [1,-1,1,79145,-54194753] 1

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