Cremona's table of elliptic curves

127449 = 3² · 7² · 17²

Class	r	Atkin-Lehner	Eigenvalues
127449a (2 curves)	1	3+ 7+ 17+	0 3+  0 7+  0  2 17+  8
Curve Equation t Generators 127449a1 [0,0,1,0,17393248] 1 [258248:6180227:512] 127449a2 [0,0,1,0,-469617703] 1 [13397125587552530184:-17545428653854916965:17223083235348992]
127449b (2 curves)	1	3+ 7+ 17+	0 3+  0 7+  0  5 17+ -1
Curve Equation t Generators 127449b1 [0,0,1,0,208] 1 [4:16:1] 127449b2 [0,0,1,0,-5623] 1 [3588:26401:64]
127449c (2 curves)	1	3+ 7+ 17+	0 3+  0 7+  0 -7 17+ -7
Curve Equation t Generators 127449c1 [0,0,1,0,60184] 1 [-34:144:1] 127449c2 [0,0,1,0,-1624975] 1 [1394:15313:8]
127449d (2 curves)	0	3+ 7+ 17-	0 3+  0 7+  0  2 17-  8
Curve Equation t 127449d1 [0,0,1,0,3540] 3 127449d2 [0,0,1,0,-95587] 1
127449e (2 curves)	0	3+ 7+ 17-	0 3+  0 7+  0  5 17- -1
Curve Equation t 127449e1 [0,0,1,0,1023132] 3 127449e2 [0,0,1,0,-27624571] 1
127449f (2 curves)	0	3+ 7- 17+	0 3+  0 7-  0 -2 17+ -8
Curve Equation t 127449f1 [0,0,1,0,-5965884150] 1 127449f2 [0,0,1,0,161078872043] 1
127449g (2 curves)	0	3+ 7- 17+	0 3+  0 7-  0 -5 17+  1
Curve Equation t 127449g1 [0,0,1,0,-71430] 1 127449g2 [0,0,1,0,1928603] 1
127449h (2 curves)	0	3+ 7- 17+	0 3+  0 7-  0  7 17+  7
Curve Equation t 127449h1 [0,0,1,0,-20643198] 1 127449h2 [0,0,1,0,557366339] 1
127449i (1 curve)	0	3+ 7- 17+	1 3+  2 7-  6 -1 17+ -5
Curve Equation t 127449i1 [1,-1,0,-156,1679] 1
127449j (1 curve)	0	3+ 7- 17+	-1 3+ -2 7- -6 -1 17+ -5
Curve Equation t 127449j1 [1,-1,1,-1406,-43928] 1
127449k (1 curve)	0	3+ 7- 17+	2 3+  1 7- -3  5 17+  1
Curve Equation t 127449k1 [0,0,1,-382347,102373409] 1
127449l (1 curve)	0	3+ 7- 17+	-2 3+ -1 7-  3  5 17+  1
Curve Equation t 127449l1 [0,0,1,-42483,-3791608] 1
127449m (2 curves)	1	3+ 7- 17-	0 3+  0 7-  0 -2 17- -8
Curve Equation t Generators 127449m1 [0,0,1,0,-1214306] 1 [5608:419962:1] 127449m2 [0,0,1,0,32786255] 1 [51:5737:1]
127449n (2 curves)	1	3+ 7- 17-	0 3+  0 7-  0 -5 17-  1
Curve Equation t Generators 127449n1 [0,0,1,0,-350934362] 1 [134955929411512:-790229093001233:188231032891] 127449n2 [0,0,1,0,9475227767] 1 [4968777:330077939:1331]
127449o (1 curve)	1	3+ 7- 17-	1 3+ -2 7- -6 -1 17- -5
Curve Equation t Generators 127449o1 [1,-1,0,-45138,8068451] 1 [130:2029:1]
127449p (1 curve)	1	3+ 7- 17-	-1 3+  2 7-  6 -1 17- -5
Curve Equation t Generators 127449p1 [1,-1,1,-406244,-217441934] 1 [283702948:7806479054:226981]
127449q (1 curve)	0	3- 7+ 17+	0 3- -2 7+  4  1 17+ -5
Curve Equation t 127449q1 [0,0,1,24555174,-104063804280] 1
127449r (1 curve)	0	3- 7+ 17+	0 3- -2 7+ -6  6 17+  0
Curve Equation t 127449r1 [0,0,1,-34986,-2520450] 1
127449s (1 curve)	0	3- 7+ 17+	0 3-  4 7+  4  1 17+  1
Curve Equation t 127449s1 [0,0,1,-8326668,10100421756] 1
127449t (1 curve)	2	3- 7+ 17+	1 3-  1 7+ -2  1 17+ -8
Curve Equation t Generators 127449t1 [1,-1,0,-1404594,542362981] 1 [-1300:13691:1]&[-684:34733:1]
127449u (1 curve)	0	3- 7+ 17+	-1 3-  3 7+  6  1 17+ -4
Curve Equation t 127449u1 [1,-1,1,-576176,128058144] 1
127449v (2 curves)	2	3- 7+ 17+	-2 3- -2 7+ -2  1 17+  1
Curve Equation t Generators 127449v1 [0,0,1,-297381,-67827650] 1 [1666:63724:1]&[784:13450:1] 127449v2 [0,0,1,-116275971,482982999700] 1 [408170:-46455223:125]&[884:617159:1]
127449w (1 curve)	1	3- 7+ 17-	0 3-  2 7+ -4  1 17- -5
Curve Equation t Generators 127449w1 [0,0,1,84966,-21181316] 1 [784:22963:1]
127449x (1 curve)	1	3- 7+ 17-	0 3-  2 7+  6  6 17-  0
Curve Equation t Generators 127449x1 [0,0,1,-10110954,-12382969622] 1 [442674855256:95870896384594:9393931]
127449y (1 curve)	1	3- 7- 17+	0 3- -1 7-  3 -3 17+ -3
Curve Equation t Generators 127449y1 [0,0,1,454313202,3371611780822] 1 [28167018489105370:8930936639022742453:3115334495125]
127449z (1 curve)	1	3- 7- 17+	0 3- -1 7- -5  5 17+  5
Curve Equation t Generators 127449z1 [0,0,1,-679728,-795816338] 1 [2564926:2993953:2197]
127449ba (1 curve)	1	3- 7- 17+	0 3-  2 7-  4 -1 17+  5
Curve Equation t Generators 127449ba1 [0,0,1,1203203526,35693884867954] 1 [-428603511490989921613621082128559372979576015089267123016827612:13120457642731139478747013603626444420900470386981414843178443351:20130616251190500700925859303905291275032059735861501503327]
127449bb (1 curve)	1	3- 7- 17+	0 3-  2 7- -6 -6 17+  0
Curve Equation t Generators 127449bb1 [0,0,1,-714,7348] 1 [16:4:1]
127449bc (2 curves)	1	3- 7- 17+	0 3- -3 7- -3  1 17+  1
Curve Equation t Generators 127449bc1 [0,0,1,84966,-45920583] 1 [323:3901:1] 127449bc2 [0,0,1,-7561974,-8008296858] 1 [7820:641146:1]
127449bd (1 curve)	1	3- 7- 17+	0 3- -4 7-  4 -1 17+ -1
Curve Equation t Generators 127449bd1 [0,0,1,-169932,-29447294] 1 [562:7249:1]
127449be (2 curves)	1	3- 7- 17+	1 3-  0 7-  4 -2 17+ -4
Curve Equation t Generators 127449be1 [1,-1,0,-2933982,1355232703] 2 [250694051470526158:-11774792727672390107:83849383325609] 127449be2 [1,-1,0,7899183,9022946890] 2 [-526936202:469639587082:5177717]
127449bf (2 curves)	1	3- 7- 17+	1 3-  0 7- -4 -2 17+ -4
Curve Equation t Generators 127449bf1 [1,-1,0,-10152,278235] 2 [206:1359:8] 127449bf2 [1,-1,0,27333,1830114] 2 [-54:468:1]
127449bg (1 curve)	1	3- 7- 17+	1 3- -1 7- -2 -1 17+  8
Curve Equation t Generators 127449bg1 [1,-1,0,-68825115,-185892852258] 1 [-359864381875416790638:14771262337858540246020:82289602518636079]
127449bh (4 curves)	1	3- 7- 17+	1 3-  2 7-  0  2 17+  4
Curve Equation t Generators 127449bh1 [1,-1,0,-87621,4287464] 2 [519530:3530181:10648] 127449bh2 [1,-1,0,-724866,-234424513] 4 [-403023617110:-297619437289:898632125] 127449bh3 [1,-1,0,-87621,-632702638] 2 [1671384448917626951020:-377630425237354822946477:32884874678872000] 127449bh4 [1,-1,0,-11558031,-15121359856] 2 [-9261333221330013675170:4784773036704821363267:4717710166190813000]
127449bi (6 curves)	1	3- 7- 17+	1 3-  2 7-  4  2 17+ -4
Curve Equation t Generators 127449bi1 [1,-1,0,124794,-3770145] 2 [35157127566195930:1231527282541598667:30356728739875] 127449bi2 [1,-1,0,-512451,-30152088] 4 [2908756440:196386747192:614125] 127449bi3 [1,-1,0,-4973166,4244105025] 2 [2363520:321646557:125] 127449bi4 [1,-1,0,-6247656,-6000500493] 4 [34488192109570326258:3611191481155206734451:2960365711363003] 127449bi5 [1,-1,0,-4335921,-9743295276] 2 [25946363044030492526741470573482817980:-1590081807108207314024946809533023074919:5226707432918741306619761091512000] 127449bi6 [1,-1,0,-99922671,-384428826090] 2 [40353106331974769944628175534352860:2692047217638410183633943816328571217:2926745622854893697179259384000]
127449bj (1 curve)	1	3- 7- 17+	1 3- -4 7-  0  2 17+  7
Curve Equation t Generators 127449bj1 [1,-1,0,-5154,-23311] 1 [-40:363:1]
127449bk (4 curves)	1	3- 7- 17+	-1 3-  0 7-  4  0 17+  0
Curve Equation t Generators 127449bk1 [1,-1,1,-5690,204544] 2 [-8:503:1] 127449bk2 [1,-1,1,-96725,11602126] 2 [-38:3920:1] 127449bk3 [1,-1,1,-278795,-69601094] 2 [388630599829438:-7799500415245741:471455917687] 127449bk4 [1,-1,1,-4739510,-3970050290] 2 [-7480268450:1688932574:5929741]
127449bl (2 curves)	1	3- 7- 17+	-1 3-  2 7- -6  4 17+  2
Curve Equation t Generators 127449bl1 [1,-1,1,-11759,-1539282] 2 [3742:76155:8] 127449bl2 [1,-1,1,-284864,-58345122] 2 [639110:4190079:1000]
127449bm (2 curves)	1	3- 7- 17+	-1 3- -2 7- -6 -4 17+ -2
Curve Equation t Generators 127449bm1 [1,-1,1,-576176,529125986] 2 [-12:23158:1] 127449bm2 [1,-1,1,-13958321,20040293396] 2 [1866:21175:1]
127449bn (1 curve)	1	3- 7- 17+	-1 3- -3 7-  6 -1 17+  4
Curve Equation t Generators 127449bn1 [1,-1,1,-11759,-369988] 1 [-38:163:1]
127449bo (1 curve)	1	3- 7- 17+	2 3-  3 7- -3 -1 17+  7
Curve Equation t Generators 127449bo1 [0,0,1,-5395341,5656657473] 1 [-962710:99792067:1000]
127449bp (1 curve)	1	3- 7- 17+	-2 3- -1 7-  1 -1 17+ -1
Curve Equation t Generators 127449bp1 [0,0,1,2506497,-1062071460] 1 [10472:1083316:1]
127449bq (2 curves)	1	3- 7- 17+	-2 3-  2 7- -2 -1 17+ -1
Curve Equation t Generators 127449bq1 [0,0,1,-6069,197748] 1 [51:144:1] 127449bq2 [0,0,1,-2372979,-1408113702] 1 [4383464892:1028850292430:79507]
127449br (2 curves)	1	3- 7- 17+	-2 3-  3 7- -5  1 17+  5
Curve Equation t Generators 127449br1 [0,0,1,2499,-24782] 1 [238:3748:1] 127449br2 [0,0,1,-372351,-87454796] 1 [68068:1716781:64]
127449bs (2 curves)	1	3- 7- 17+	-2 3- -3 7-  5  1 17+  5
Curve Equation t Generators 127449bs1 [0,0,1,722211,-121752738] 1 [578:-22109:1] 127449bs2 [0,0,1,-107609439,-429665411520] 1 [6753352:341841371:512]
127449bt (1 curve)	0	3- 7- 17-	0 3- -2 7- -4 -1 17-  5
Curve Equation t 127449bt1 [0,0,1,4163334,7265191302] 1
127449bu (1 curve)	0	3- 7- 17-	0 3- -2 7-  6 -6 17-  0
Curve Equation t 127449bu1 [0,0,1,-206346,36101952] 1
127449bv (1 curve)	0	3- 7- 17-	1 3-  4 7-  0  2 17-  7
Curve Equation t 127449bv1 [1,-1,0,-1489560,-120485107] 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
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