Cremona's table of elliptic curves

69776 = 2⁴ · 7² · 89

Class	r	Atkin-Lehner	Eigenvalues
69776a (1 curve)	2	2+ 7- 89+	2+  1  1 7-  0 -4 -5 -7
Curve Equation t Generators 69776a1 [0,1,0,-139960,20179396] 1 [240:686:1]&[1080:33614:1]
69776b (1 curve)	2	2+ 7- 89+	2+ -1 -3 7- -2  0  3  3
Curve Equation t Generators 69776b1 [0,-1,0,-10992,448624] 1 [-2:686:1]&[54:-98:1]
69776c (2 curves)	2	2+ 7- 89+	2+ -2 -2 7-  0 -4 -2  2
Curve Equation t Generators 69776c1 [0,1,0,-1584,-24284] 2 [-24:22:1]&[-22:20:1] 69776c2 [0,1,0,-3544,45492] 2 [-61:196:1]&[-38:356:1]
69776d (1 curve)	0	2+ 7- 89+	2+  3  1 7- -2  4  3 -1
Curve Equation t 69776d1 [0,0,0,9653,-3082198] 1
69776e (1 curve)	0	2+ 7- 89+	2+  3 -3 7- -4  0  3  3
Curve Equation t 69776e1 [0,0,0,1421,-28126] 1
69776f (2 curves)	1	2- 7+ 89-	2-  2  0 7+  3  2 -3  4
Curve Equation t Generators 69776f1 [0,-1,0,-212088,38676464] 1 [980:27768:1] 69776f2 [0,-1,0,-17307208,27719094768] 1 [314580:1223664:125]
69776g (1 curve)	1	2- 7+ 89-	2- -2 -4 7+  3 -2  5  8
Curve Equation t Generators 69776g1 [0,1,0,12920,-1469196] 1 [702:18816:1]
69776h (2 curves)	1	2- 7- 89+	2-  0  0 7-  4  2  2 -8
Curve Equation t Generators 69776h1 [0,0,0,-23275,3640602] 2 [679:17346:1] 69776h2 [0,0,0,-525035,146240794] 2 [-395:17088:1]
69776i (1 curve)	1	2- 7- 89+	2-  1  1 7-  6 -4 -1  5
Curve Equation t Generators 69776i1 [0,1,0,5080,-4684] 1 [380:7546:1]
69776j (2 curves)	1	2- 7- 89+	2-  1 -3 7-  0  4 -3  5
Curve Equation t Generators 69776j1 [0,1,0,17428,10832744] 1 [21562:1121267:8] 69776j2 [0,1,0,-157012,-294088376] 1 [79149319169310:4049342884702241:29161230552]
69776k (1 curve)	1	2- 7- 89+	2- -1  1 7-  0  4  1 -5
Curve Equation t Generators 69776k1 [0,-1,0,180,-2372] 1 [33:196:1]
69776l (1 curve)	1	2- 7- 89+	2- -1  1 7-  0 -4  7  7
Curve Equation t Generators 69776l1 [0,-1,0,-32160,2299648] 1 [138:686:1]
69776m (1 curve)	1	2- 7- 89+	2- -1  1 7- -6 -4  7 -5
Curve Equation t Generators 69776m1 [0,-1,0,-21257000,-37784638352] 1 [22958805:9836249416:125]
69776n (1 curve)	1	2- 7- 89+	2- -1 -1 7-  0 -2  3 -5
Curve Equation t Generators 69776n1 [0,-1,0,-1295576,568033264] 1 [642:686:1]
69776o (1 curve)	1	2- 7- 89+	2- -1 -1 7-  4 -2  3 -5
Curve Equation t Generators 69776o1 [0,-1,0,21544,3186352] 1 [1034:33614:1]
69776p (2 curves)	1	2- 7- 89+	2-  2  2 7-  0  4  6 -2
Curve Equation t Generators 69776p1 [0,-1,0,-71752,-7372560] 2 [-215108799615705:-9167467645070:1409071586931] 69776p2 [0,-1,0,-79592,-5654032] 2 [-7924142:-86914338:50653]
69776q (2 curves)	1	2- 7- 89+	2-  2  2 7-  4 -2 -6 -2
Curve Equation t Generators 69776q1 [0,-1,0,-1192,12720] 2 [660:16920:1] 69776q2 [0,-1,0,2728,75440] 2 [480258:12357710:729]
69776r (2 curves)	1	2- 7- 89+	2-  2 -2 7-  0  4 -2 -2
Curve Equation t Generators 69776r1 [0,-1,0,-34904,2173424] 2 [-27099:1347794:729] 69776r2 [0,-1,0,-536664,151497200] 2 [-142:14994:1]
69776s (2 curves)	1	2- 7- 89+	2-  2 -2 7-  0 -4 -2 -2
Curve Equation t Generators 69776s1 [0,-1,0,-8380101144,-295269028834576] 2 [-181568903297396061721883879998670248610740031514311814611431305071544279687591059775814674489965884350602759682034200174840840986980045302279033737877:-11337244685438170950634461743332427956210889029502588379479888544971566878186760026260185026224909687286039463638518004720297079765097662823130622:3435421735229920181924192826522942159451322164469203710872969818650757678847417413344650048359037695115140348084461234127823848070169284386841847] 69776s2 [0,-1,0,-8380132504,-295266708395280] 2 [-1533992595853850155034097752210043234582581830779652876350439439903338043958:393441136021127031239470847100183237436446609387082402275677502226263899714:29109515002541537732188875631633557231398921860225377658579500827471889]
69776t (1 curve)	1	2- 7- 89+	2-  2  4 7-  3  2 -5 -8
Curve Equation t Generators 69776t1 [0,-1,0,264,4208] 1 [-980:4992:125]
69776u (2 curves)	1	2- 7- 89+	2- -2  0 7-  3 -2  3 -4
Curve Equation t Generators 69776u1 [0,1,0,-4328,-113996] 1 [118:1016:1] 69776u2 [0,1,0,-353208,-80914604] 1 [239350:117098064:1]
69776v (2 curves)	1	2- 7- 89+	2- -2  4 7-  0 -4  2  2
Curve Equation t Generators 69776v1 [0,1,0,370424,502009332] 2 [116380:5084926:125] 69776v2 [0,1,0,-7657736,7711297012] 2 [36321505260:-265805488102:18609625]
69776w (1 curve)	1	2- 7- 89+	2- -3  3 7-  0  6  3 -7
Curve Equation t Generators 69776w1 [0,0,0,-931,279202] 1 [63:686:1]
69776x (1 curve)	1	2- 7- 89+	2- -3 -3 7-  4 -4  5  1
Curve Equation t Generators 69776x1 [0,0,0,-1519,-124166] 1 [546:2401:8]
69776y (2 curves)	0	2- 7- 89-	2-  1 -3 7-  6 -2 -3  5
Curve Equation t 69776y1 [0,1,0,4688,-624044] 1 69776y2 [0,1,0,-434352,-110384044] 1
69776z (1 curve)	2	2- 7- 89-	2- -1  1 7-  2 -2 -3 -5
Curve Equation t Generators 69776z1 [0,-1,0,-800,13504] 1 [-30:98:1]&[26:98:1]
69776ba (1 curve)	0	2- 7- 89-	2- -1  3 7-  6  4  7 -1
Curve Equation t 69776ba1 [0,-1,0,-4524,119932] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations