Cremona's table of elliptic curves

98175 = 3 · 5² · 7 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
98175a (2 curves)	0	3+ 5+ 7+ 11+ 17-	1 3+ 5+ 7+ 11+  2 17-  6
Curve Equation t 98175a1 [1,1,0,-700,-6125] 2 98175a2 [1,1,0,1425,-33750] 2
98175b (2 curves)	0	3+ 5+ 7+ 11+ 17-	1 3+ 5+ 7+ 11+  2 17- -6
Curve Equation t 98175b1 [1,1,0,-24396500,46370746875] 2 98175b2 [1,1,0,-24287125,46807262500] 2
98175c (2 curves)	0	3+ 5+ 7+ 11+ 17-	-1 3+ 5+ 7+ 11+  2 17-  2
Curve Equation t 98175c1 [1,1,1,-28063,1169156] 2 98175c2 [1,1,1,81312,8169156] 2
98175d (4 curves)	1	3+ 5+ 7+ 11- 17-	-1 3+ 5+ 7+ 11-  6 17-  4
Curve Equation t Generators 98175d1 [1,1,1,-7713,-261594] 2 [170:1752:1] 98175d2 [1,1,1,-13838,203906] 4 [-6:538:1] 98175d3 [1,1,1,51787,1647656] 2 [-10:1067:1] 98175d4 [1,1,1,-177463,28674656] 2 [269:567:1]
98175e (1 curve)	1	3+ 5+ 7+ 11- 17-	-2 3+ 5+ 7+ 11-  3 17-  4
Curve Equation t Generators 98175e1 [0,-1,1,-18908,-1153282] 1 [302:-4538:1]
98175f (8 curves)	0	3+ 5+ 7- 11+ 17+	1 3+ 5+ 7- 11+  2 17+  4
Curve Equation t 98175f1 [1,1,0,-22365500,40702081875] 2 98175f2 [1,1,0,-22365625,40701604000] 4 98175f3 [1,1,0,-21547500,43817842125] 2 98175f4 [1,1,0,-23185750,37554784375] 4 98175f5 [1,1,0,36845375,199818915250] 2 98175f6 [1,1,0,-96338875,-326089400000] 4 98175f7 [1,1,0,133256750,-1643738691875] 2 98175f8 [1,1,0,-1496384500,-22280204845625] 2
98175g (4 curves)	0	3+ 5+ 7- 11+ 17+	1 3+ 5+ 7- 11+  2 17+ -4
Curve Equation t 98175g1 [1,1,0,-38650,5884375] 2 98175g2 [1,1,0,-779775,264537000] 4 98175g3 [1,1,0,-943400,145254375] 2 98175g4 [1,1,0,-12474150,16952410125] 2
98175h (1 curve)	0	3+ 5+ 7- 11+ 17+	-2 3+ 5+ 7- 11+  2 17+  1
Curve Equation t 98175h1 [0,-1,1,-8,-7582] 1
98175i (4 curves)	1	3+ 5+ 7- 11- 17+	1 3+ 5+ 7- 11- -2 17+  0
Curve Equation t Generators 98175i1 [1,1,0,5625,0] 2 [64:760:1] 98175i2 [1,1,0,-22500,-28125] 4 [-70:1135:1] 98175i3 [1,1,0,-245625,46605000] 2 [3358:31959:8] 98175i4 [1,1,0,-249375,-47898750] 2 [-2210:1655:8]
98175j (1 curve)	0	3+ 5+ 7- 11- 17-	2 3+ 5+ 7- 11-  6 17- -2
Curve Equation t 98175j1 [0,-1,1,-96458,12329693] 1
98175k (2 curves)	1	3+ 5- 7+ 11- 17+	-1 3+ 5- 7+ 11-  2 17+ -4
Curve Equation t Generators 98175k1 [1,1,1,-893,10106] 2 [14:-32:1] 98175k2 [1,1,1,-14368,656906] 2 [70:-53:1]
98175l (1 curve)	1	3+ 5- 7+ 11- 17+	2 3+ 5- 7+ 11- -2 17+  2
Curve Equation t Generators 98175l1 [0,-1,1,3292,126443] 1 [314:4483:8]
98175m (2 curves)	1	3+ 5- 7+ 11- 17+	2 3+ 5- 7+ 11- -4 17+  5
Curve Equation t Generators 98175m1 [0,-1,1,-231208,-42717057] 1 [51731484:2453702649:21952] 98175m2 [0,-1,1,1240042,-77215807] 1 [722783629487684120244869819524:38053016409667044980280397609439:323686269978829442021495872]
98175n (1 curve)	1	3+ 5- 7+ 11- 17+	-2 3+ 5- 7+ 11- -3 17+  0
Curve Equation t Generators 98175n1 [0,-1,1,-1072538,-427263772] 1 [1307:20047:1]
98175o (2 curves)	0	3+ 5- 7- 11+ 17-	1 3+ 5- 7- 11+  0 17-  4
Curve Equation t 98175o1 [1,1,0,-58075,-5411000] 2 98175o2 [1,1,0,-59950,-5045375] 2
98175p (2 curves)	0	3+ 5- 7- 11+ 17-	1 3+ 5- 7- 11+  6 17-  4
Curve Equation t 98175p1 [1,1,0,-40145,4117200] 2 98175p2 [1,1,0,-700420,225309325] 2
98175q (1 curve)	0	3+ 5- 7- 11- 17+	0 3+ 5- 7- 11-  6 17+  0
Curve Equation t 98175q1 [0,-1,1,-7712083,8252207193] 1
98175r (1 curve)	1	3+ 5- 7- 11- 17-	-2 3+ 5- 7- 11- -4 17- -6
Curve Equation t Generators 98175r1 [0,-1,1,-3976708,-3134730432] 1 [21442:3125587:1]
98175s (1 curve)	0	3- 5+ 7+ 11+ 17+	1 3- 5+ 7+ 11+ -1 17+  0
Curve Equation t 98175s1 [1,0,1,-19526,-1051927] 1
98175t (4 curves)	0	3- 5+ 7+ 11+ 17+	1 3- 5+ 7+ 11+  2 17+  0
Curve Equation t 98175t1 [1,0,1,-3345051,2354506873] 2 98175t2 [1,0,1,-3381176,2301041873] 4 98175t3 [1,0,1,1720949,8637881123] 2 98175t4 [1,0,1,-9061301,-7457412877] 2
98175u (6 curves)	0	3- 5+ 7+ 11+ 17+	1 3- 5+ 7+ 11+  2 17+  4
Curve Equation t 98175u1 [1,0,1,54499,2422523] 2 98175u2 [1,0,1,-245626,20430023] 4 98175u3 [1,0,1,-2015751,-1087668227] 4 98175u4 [1,0,1,-3277501,2282208773] 2 98175u5 [1,0,1,-215876,-2959538227] 2 98175u6 [1,0,1,-32137626,-70127005727] 2
98175v (4 curves)	0	3- 5+ 7+ 11+ 17+	1 3- 5+ 7+ 11+  6 17+  0
Curve Equation t 98175v1 [1,0,1,-1800850376,28615792298273] 2 98175v2 [1,0,1,-28595710501,1861223455687523] 4 98175v3 [1,0,1,-28377925626,1890968513915023] 2 98175v4 [1,0,1,-457531257376,119118476033812523] 2
98175w (4 curves)	0	3- 5+ 7+ 11+ 17+	1 3- 5+ 7+ 11+ -6 17+  0
Curve Equation t 98175w1 [1,0,1,-10501,-376477] 2 98175w2 [1,0,1,-163626,-25488977] 4 98175w3 [1,0,1,-159251,-26915227] 2 98175w4 [1,0,1,-2618001,-1630650227] 2
98175x (1 curve)	0	3- 5+ 7+ 11+ 17+	-1 3- 5+ 7+ 11+ -1 17+  4
Curve Equation t 98175x1 [1,0,0,637,-32658] 1
98175y (1 curve)	0	3- 5+ 7+ 11+ 17+	2 3- 5+ 7+ 11+  5 17+ -8
Curve Equation t 98175y1 [0,1,1,-525008,147625769] 1
98175z (4 curves)	1	3- 5+ 7+ 11+ 17-	-1 3- 5+ 7+ 11+ -2 17- -4
Curve Equation t Generators 98175z1 [1,0,0,-129063,-17857008] 2 [-207:105:1] 98175z2 [1,0,0,-132188,-16947633] 4 [-209:1354:1] 98175z3 [1,0,0,154687,-80347008] 2 [916:28354:1] 98175z4 [1,0,0,-469063,104664242] 4 [-517:14717:1]
98175ba (1 curve)	1	3- 5+ 7+ 11+ 17-	2 3- 5+ 7+ 11+  2 17-  1
Curve Equation t Generators 98175ba1 [0,1,1,-994658,518934719] 1 [39492:758593:64]
98175bb (2 curves)	1	3- 5+ 7+ 11- 17+	-1 3- 5+ 7+ 11- -2 17+  6
Curve Equation t Generators 98175bb1 [1,0,0,-2338,40667] 2 [-13:269:1] 98175bb2 [1,0,0,2037,176292] 2 [-3:414:1]
98175bc (1 curve)	1	3- 5+ 7+ 11- 17+	2 3- 5+ 7+ 11-  4 17+ -6
Curve Equation t Generators 98175bc1 [0,1,1,-159068,-25141471] 1 [8186594:25079261:17576]
98175bd (1 curve)	2	3- 5+ 7+ 11- 17-	0 3- 5+ 7+ 11- -6 17-  0
Curve Equation t Generators 98175bd1 [0,1,1,-308483,65894264] 1 [49430:-303691:125]&[-518:9325:1]
98175be (4 curves)	1	3- 5+ 7- 11+ 17+	1 3- 5+ 7- 11+  2 17+ -8
Curve Equation t Generators 98175be1 [1,0,1,-226938401,-829446415177] 2 [9748559220897860404641564459937642571:6077821120863327095955317015104924759551:25001991000601487896479677804071] 98175be2 [1,0,1,-3244134526,-71105978558677] 4 [11171994575501205059:13936990917111053699752:7163385806933] 98175be3 [1,0,1,-2860306401,-88566319964927] 2 [9415101268087:562505721134751:141420761] 98175be4 [1,0,1,-51903100651,-4551331625551927] 2 [4445166846654096014927274252069102036:5498147965251090110219019102916733895133:2838346163828622680533181370432]
98175bf (4 curves)	1	3- 5+ 7- 11+ 17+	-1 3- 5+ 7- 11+  6 17+ -4
Curve Equation t Generators 98175bf1 [1,0,0,-331188,47594367] 2 [13707:1596534:1] 98175bf2 [1,0,0,-2161313,-1187740008] 4 [-953:3064:1] 98175bf3 [1,0,0,697312,-4100678883] 2 [1588:31015:1] 98175bf4 [1,0,0,-34301938,-77328880633] 2 [-3379:1805:1]
98175bg (1 curve)	1	3- 5+ 7- 11+ 17+	2 3- 5+ 7- 11+ -3 17+ -4
Curve Equation t Generators 98175bg1 [0,1,1,6342,100469] 1 [-6:2471:8]
98175bh (1 curve)	1	3- 5+ 7- 11+ 17+	-2 3- 5+ 7- 11+  2 17+  1
Curve Equation t Generators 98175bh1 [0,1,1,-1235158,530158594] 1 [938:14062:1]
98175bi (4 curves)	2	3- 5+ 7- 11+ 17-	-1 3- 5+ 7- 11+ -2 17- -8
Curve Equation t Generators 98175bi1 [1,0,0,17787,-215208] 4 [126:2037:8]&[21:399:1] 98175bi2 [1,0,0,-73338,-1764333] 4 [-247:1262:1]&[-243:1434:1] 98175bi3 [1,0,0,-704463,226071792] 2 [-963:3894:1]&[87:12819:1] 98175bi4 [1,0,0,-900213,-328379958] 2 [-558:804:1]&[-543:909:1]
98175bj (4 curves)	0	3- 5+ 7- 11+ 17-	-1 3- 5+ 7- 11+  6 17-  8
Curve Equation t 98175bj1 [1,0,0,-3118938,-2075915133] 2 98175bj2 [1,0,0,-6947063,4022287992] 4 98175bj3 [1,0,0,22168562,28974378617] 2 98175bj4 [1,0,0,-97312688,369370509867] 2
98175bk (2 curves)	1	3- 5+ 7- 11- 17-	1 3- 5+ 7- 11-  0 17-  2
Curve Equation t Generators 98175bk1 [1,0,1,-20626,-2690977] 2 [1951:84956:1] 98175bk2 [1,0,1,-442501,-113222227] 2 [-377:419:1]
98175bl (2 curves)	1	3- 5+ 7- 11- 17-	1 3- 5+ 7- 11- -6 17-  2
Curve Equation t Generators 98175bl1 [1,0,1,-5525451,4998729673] 2 [10006:48543:8] 98175bl2 [1,0,1,-5523326,5002767173] 2 [1113:14752:1]
98175bm (2 curves)	1	3- 5+ 7- 11- 17-	-1 3- 5+ 7- 11-  2 17- -2
Curve Equation t Generators 98175bm1 [1,0,0,-198713,-33467208] 2 [-263:919:1] 98175bm2 [1,0,0,15662,-101852833] 2 [3797:231989:1]
98175bn (1 curve)	1	3- 5+ 7- 11- 17-	-2 3- 5+ 7- 11-  2 17-  2
Curve Equation t Generators 98175bn1 [0,1,1,132,1064] 1 [-3:25:1]
98175bo (1 curve)	1	3- 5+ 7- 11- 17-	-2 3- 5+ 7- 11-  6 17- -1
Curve Equation t Generators 98175bo1 [0,1,1,939092,-390257156] 1 [10703:1111687:1]
98175bp (2 curves)	1	3- 5- 7+ 11+ 17+	-1 3- 5- 7+ 11+  0 17+  4
Curve Equation t Generators 98175bp1 [1,0,0,-2323,-43288] 2 [107:914:1] 98175bp2 [1,0,0,-2398,-40363] 2 [-23:64:1]
98175bq (2 curves)	1	3- 5- 7+ 11+ 17+	-1 3- 5- 7+ 11+ -6 17+  4
Curve Equation t Generators 98175bq1 [1,0,0,-1003638,516657267] 2 [177:18474:1] 98175bq2 [1,0,0,-17510513,28198686642] 2 [2281:10105:1]
98175br (1 curve)	2	3- 5- 7+ 11- 17+	-2 3- 5- 7+ 11- -6 17+ -2
Curve Equation t Generators 98175br1 [0,1,1,-3858,97094] 1 [-72:82:1]&[27:-116:1]
98175bs (2 curves)	0	3- 5- 7- 11- 17-	1 3- 5- 7- 11- -2 17- -4
Curve Equation t 98175bs1 [1,0,1,-22326,1307923] 2 98175bs2 [1,0,1,-359201,82831673] 2
98175bt (1 curve)	0	3- 5- 7- 11- 17-	2 3- 5- 7- 11-  3 17-  0
Curve Equation t 98175bt1 [0,1,1,-26813458,-53461598381] 1
98175bu (2 curves)	0	3- 5- 7- 11- 17-	-2 3- 5- 7- 11-  4 17-  5
Curve Equation t 98175bu1 [0,1,1,-9248,-345436] 1 98175bu2 [0,1,1,49602,-597886] 5

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