Cremona's table of elliptic curves

52598 = 2 · 7 · 13 · 17²

Class	r	Atkin-Lehner	Eigenvalues
52598a (1 curve)	1	2+ 7+ 13+ 17+	2+  1 -2 7+ -2 13+ 17+ -7
Curve Equation t Generators 52598a1 [1,0,1,-255882,49794684] 1 [861:21201:1]
52598b (1 curve)	1	2+ 7+ 13+ 17+	2+ -3  0 7+  5 13+ 17+  2
Curve Equation t Generators 52598b1 [1,-1,0,-6412,4317520] 1 [285:4915:1]
52598c (1 curve)	2	2+ 7+ 13+ 17-	2+  1  0 7+ -2 13+ 17- -7
Curve Equation t Generators 52598c1 [1,0,1,-18936,962490] 1 [-45:1335:1]&[24:710:1]
52598d (1 curve)	0	2+ 7+ 13+ 17-	2+  1  4 7+  6 13+ 17-  5
Curve Equation t 52598d1 [1,0,1,-28273599,-57681057306] 1
52598e (2 curves)	2	2+ 7+ 13- 17+	2+  1  2 7+ -5 13- 17+ -5
Curve Equation t Generators 52598e1 [1,0,1,4830195,4371164424] 1 [5226:412535:1]&[2691:190638:1] 52598e2 [1,0,1,-420537345,-3329592168432] 1 [105798:33657650:1]&[20061360270022179:-4118108743162881784:390457604629]
52598f (2 curves)	2	2+ 7+ 13- 17+	2+ -1  0 7+ -3 13- 17+ -7
Curve Equation t Generators 52598f1 [1,1,0,-13155,623593] 1 [-134:119:1]&[52:-315:1] 52598f2 [1,1,0,80770,-492236] 1 [188:4530:1]&[4734:125371:8]
52598g (1 curve)	0	2+ 7+ 13- 17+	2+ -2 -3 7+ -4 13- 17+  2
Curve Equation t 52598g1 [1,0,1,-241755,-58285978] 1
52598h (1 curve)	2	2+ 7- 13+ 17+	2+ -1  0 7- -1 13+ 17+ -1
Curve Equation t Generators 52598h1 [1,1,0,-417755,104771101] 1 [137:-7149:1]&[-730:4989:1]
52598i (1 curve)	2	2+ 7- 13+ 17+	2+ -1  0 7-  2 13+ 17+ -7
Curve Equation t Generators 52598i1 [1,1,0,-65,169] 1 [156:-221:27]&[-42:181:8]
52598j (1 curve)	2	2+ 7- 13+ 17+	2+ -1 -4 7- -6 13+ 17+  5
Curve Equation t Generators 52598j1 [1,1,0,-97832,-11780780] 1 [-177:-83:1]&[-184:274:1]
52598k (1 curve)	1	2+ 7- 13+ 17-	2+ -1  2 7-  2 13+ 17- -7
Curve Equation t Generators 52598k1 [1,1,0,-73949759,244715233477] 1 [135642:83603:27]
52598l (2 curves)	1	2+ 7- 13- 17+	2+ -1 -2 7-  5 13- 17+ -5
Curve Equation t Generators 52598l1 [1,1,0,16714,896596] 1 [60:-1486:1] 52598l2 [1,1,0,-1455146,-678309776] 1 [1454:16080:1]
52598m (1 curve)	1	2+ 7- 13- 17+	2+ -1 -4 7-  1 13- 17+  2
Curve Equation t Generators 52598m1 [1,1,0,-1331862,592091860] 1 [817:6672:1]
52598n (1 curve)	0	2- 7+ 13+ 17+	2-  1  2 7+ -1 13+ 17+  8
Curve Equation t 52598n1 [1,0,0,-40177,4335337] 1
52598o (2 curves)	0	2- 7+ 13+ 17+	2- -2 -2 7+  0 13+ 17+  0
Curve Equation t 52598o1 [1,0,0,-2042879,-1124028647] 2 52598o2 [1,0,0,-2060559,-1103587031] 2
52598p (1 curve)	0	2- 7+ 13+ 17+	2-  3 -2 7+ -5 13+ 17+  5
Curve Equation t 52598p1 [1,-1,1,-32856,2626075] 1
52598q (1 curve)	0	2- 7+ 13+ 17+	2- -3 -2 7+  3 13+ 17+  4
Curve Equation t 52598q1 [1,-1,1,-7202946,-7441078143] 1
52598r (1 curve)	1	2- 7+ 13- 17+	2-  0 -3 7+  0 13- 17+  8
Curve Equation t Generators 52598r1 [1,-1,1,-964,-21913] 1 [149:1693:1]
52598s (2 curves)	1	2- 7+ 13- 17+	2- -1  0 7+  0 13- 17+ -1
Curve Equation t Generators 52598s1 [1,1,1,-1634828,803873325] 1 [1005:12809:1] 52598s2 [1,1,1,-2135308,270770733] 1 [1413:8081:1]
52598t (3 curves)	1	2- 7+ 13- 17+	2- -1  0 7+  3 13- 17+  2
Curve Equation t Generators 52598t1 [1,1,1,2017,-36411] 1 [171:2226:1] 52598t2 [1,1,1,-55783,-5127435] 1 [273:152:1] 52598t3 [1,1,1,-4526613,-3708763007] 1 [159796:1437609:64]
52598u (4 curves)	1	2- 7+ 13- 17+	2-  2  0 7+  0 13- 17+ -4
Curve Equation t Generators 52598u1 [1,1,1,-1369288,608557129] 2 [307:14585:1] 52598u2 [1,1,1,-167048,1641521737] 2 [647:42159:1] 52598u3 [1,1,1,-11195288,-14120066615] 2 [-2005:17475:1] 52598u4 [1,1,1,1503372,-44312400631] 2 [169959:-12593491:27]
52598v (3 curves)	1	2- 7+ 13- 17+	2-  2 -3 7+  0 13- 17+  2
Curve Equation t Generators 52598v1 [1,1,1,-100867,12290017] 1 [103:1682:1] 52598v2 [1,1,1,26293,40658257] 1 [545:14466:1] 52598v3 [1,1,1,-236697,-1099140403] 1 [4880784:69970267:4096]
52598w (2 curves)	1	2- 7+ 13- 17+	2-  2 -3 7+  6 13- 17+ -1
Curve Equation t Generators 52598w1 [1,1,1,28,37] 1 [-1:3:1] 52598w2 [1,1,1,-312,-2683] 1 [33:139:1]
52598x (1 curve)	2	2- 7+ 13- 17-	2- -1 -4 7+ -4 13- 17-  1
Curve Equation t Generators 52598x1 [1,1,1,-3185,-65889] 1 [69:-256:1]&[-35:82:1]
52598y (1 curve)	0	2- 7+ 13- 17-	2-  3  2 7+  4 13- 17- -1
Curve Equation t 52598y1 [1,-1,1,-54301854,154023613741] 1
52598z (4 curves)	1	2- 7- 13+ 17+	2-  0 -2 7- -4 13+ 17+  0
Curve Equation t Generators 52598z1 [1,-1,1,250364,32667047] 2 [5:5821:1] 52598z2 [1,-1,1,-1229316,288355751] 4 [-259:24405:1] 52598z3 [1,-1,1,-9043876,-10264426073] 2 [-1721:15021:1] 52598z4 [1,-1,1,-17089636,27187458471] 2 [3073:59153:1]
52598ba (2 curves)	1	2- 7- 13+ 17+	2-  2  2 7-  0 13+ 17+  0
Curve Equation t Generators 52598ba1 [1,1,1,-590392037,-5521762350677] 2 [55151:11359716:1] 52598ba2 [1,1,1,-595501557,-5421327581749] 2 [44372972541:9135306048836:804357]
52598bb (1 curve)	1	2- 7- 13+ 17+	2- -2 -3 7- -4 13+ 17+  6
Curve Equation t Generators 52598bb1 [1,0,0,12136838,-5417463324] 1 [1316:112630:1]
52598bc (1 curve)	1	2- 7- 13+ 17+	2- -3  2 7-  5 13+ 17+  5
Curve Equation t Generators 52598bc1 [1,-1,1,-114,561] 1 [13:27:1]
52598bd (1 curve)	1	2- 7- 13+ 17+	2- -3  4 7- -1 13+ 17+ -6
Curve Equation t Generators 52598bd1 [1,-1,1,957,-19431] 1 [1716:9225:64]
52598be (4 curves)	2	2- 7- 13- 17+	2-  0 -2 7- -4 13- 17+ -4
Curve Equation t Generators 52598be1 [1,-1,1,-265501,-49252315] 4 [-2786:8903:8]&[-345:1264:1] 52598be2 [1,-1,1,-4172781,-3279791419] 4 [-9442:5575:8]&[3241:129650:1] 52598be3 [1,-1,1,-4097641,-3403652195] 2 [18974:107843:8]&[3583:-168834:1] 52598be4 [1,-1,1,-66764401,-209957320659] 2 [470721:-53726074:27]&[956980:93031763:64]
52598bf (1 curve)	0	2- 7- 13- 17+	2-  0  3 7-  0 13- 17+  8
Curve Equation t 52598bf1 [1,-1,1,-278506,-108771287] 1
52598bg (1 curve)	0	2- 7- 13- 17+	2-  1  4 7-  4 13- 17+  1
Curve Equation t 52598bg1 [1,0,0,-920471,-317268487] 1
52598bh (1 curve)	2	2- 7- 13- 17+	2- -3 -2 7- -4 13- 17+ -1
Curve Equation t Generators 52598bh1 [1,-1,1,-187896,31394427] 1 [-461:4689:1]&[225:573:1]
52598bi (2 curves)	1	2- 7- 13- 17-	2-  1  0 7-  0 13- 17- -1
Curve Equation t Generators 52598bi1 [1,0,0,-472465298,3952736903684] 3 [12620:7158:1] 52598bi2 [1,0,0,-617104018,1334616340228] 1 [28422:2584840:1]
52598bj (2 curves)	1	2- 7- 13- 17-	2- -2  3 7- -6 13- 17- -1
Curve Equation t Generators 52598bj1 [1,0,0,8086,126052] 3 [5329270:1097730898:125] 52598bj2 [1,0,0,-90174,-12549488] 1 [504:8120:1]

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