Cremona's table of elliptic curves

53235 = 3² · 5 · 7 · 13²

Class	r	Atkin-Lehner	Eigenvalues
53235a (2 curves)	1	3+ 5+ 7+ 13+	1 3+ 5+ 7+  2 13+  8 -8
Curve Equation t Generators 53235a1 [1,-1,0,-23100,-719029] 2 [1459694:12935493:6859] 53235a2 [1,-1,0,-319695,-69469750] 2 [842:15634:1]
53235b (2 curves)	0	3+ 5+ 7- 13+	1 3+ 5+ 7-  6 13+  0  0
Curve Equation t 53235b1 [1,-1,0,-2099265,-1169837200] 2 53235b2 [1,-1,0,-2395860,-817541659] 2
53235c (2 curves)	0	3+ 5+ 7- 13+	-1 3+ 5+ 7-  6 13+  4  4
Curve Equation t 53235c1 [1,-1,1,-199734203,1086542500762] 2 53235c2 [1,-1,1,-200030798,1083153962206] 2
53235d (2 curves)	2	3+ 5- 7+ 13+	-1 3+ 5- 7+ -2 13+ -8 -8
Curve Equation t Generators 53235d1 [1,-1,1,-2567,27486] 2 [-16:261:1]&[-6:209:1] 53235d2 [1,-1,1,-35522,2584794] 2 [452:-9099:1]&[-16:1782:1]
53235e (2 curves)	1	3+ 5- 7- 13+	1 3+ 5- 7- -6 13+ -4  4
Curve Equation t Generators 53235e1 [1,-1,0,-22192689,-40234917280] 2 [-73428:35734:27] 53235e2 [1,-1,0,-22225644,-40109404867] 2 [-2828:12439:1]
53235f (2 curves)	1	3+ 5- 7- 13+	-1 3+ 5- 7- -6 13+  0  0
Curve Equation t Generators 53235f1 [1,-1,1,-233252,43405054] 2 [322:-1429:1] 53235f2 [1,-1,1,-266207,30368056] 2 [-224:8984:1]
53235g (3 curves)	0	3- 5+ 7+ 13+	0 3- 5+ 7+ -3 13+ -3 -2
Curve Equation t 53235g1 [0,0,1,-2028,-38997] 1 53235g2 [0,0,1,13182,99414] 1 53235g3 [0,0,1,-199758,35947863] 1
53235h (4 curves)	2	3- 5+ 7+ 13+	1 3- 5+ 7+  0 13+ -2 -4
Curve Equation t Generators 53235h1 [1,-1,0,9855,-400464] 2 [366:2859:8]&[100:1206:1] 53235h2 [1,-1,0,-58590,-3809025] 4 [-162:1269:1]&[-150:1335:1] 53235h3 [1,-1,0,-355185,78585066] 2 [-4626:78363:8]&[-522:11286:1] 53235h4 [1,-1,0,-857115,-305172360] 2 [-4242:3075:8]&[19014:832569:8]
53235i (4 curves)	0	3- 5+ 7+ 13+	-1 3- 5+ 7+ -4 13+ -2  0
Curve Equation t 53235i1 [1,-1,1,-1552973,738014996] 2 53235i2 [1,-1,1,-2838218,-659303368] 4 53235i3 [1,-1,1,10508557,-5095771378] 2 53235i4 [1,-1,1,-36748913,-85666633594] 2
53235j (1 curve)	0	3- 5+ 7+ 13+	-1 3- 5+ 7+ -4 13+  7  6
Curve Equation t 53235j1 [1,-1,1,-3308,76106] 1
53235k (1 curve)	0	3- 5+ 7+ 13+	2 3- 5+ 7+  3 13+ -1  2
Curve Equation t 53235k1 [0,0,1,-19773,53787503] 1
53235l (1 curve)	0	3- 5+ 7+ 13+	2 3- 5+ 7+  5 13+ -2 -6
Curve Equation t 53235l1 [0,0,1,-85683,-22184757] 1
53235m (1 curve)	0	3- 5+ 7+ 13+	-2 3- 5+ 7+  3 13+ -6  6
Curve Equation t 53235m1 [0,0,1,-19773,-5590816] 1
53235n (2 curves)	1	3- 5+ 7+ 13-	-1 3- 5+ 7+  0 13- -8  2
Curve Equation t Generators 53235n1 [1,-1,1,-680153,189934112] 2 [150:9478:1] 53235n2 [1,-1,1,-10512248,13121105456] 2 [660:80107:1]
53235o (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7-  1 13+  3 -4
Curve Equation t Generators 53235o1 [0,0,1,13182,-307031] 1 [338:4559:8]
53235p (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7- -1 13+ -7  4
Curve Equation t Generators 53235p1 [0,0,1,-27075828,-54307077822] 1 [6068:69457:1]
53235q (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7- -5 13+  3  2
Curve Equation t Generators 53235q1 [0,0,1,-2028,-35942] 1 [64:310:1]
53235r (4 curves)	1	3- 5+ 7- 13+	1 3- 5+ 7-  0 13+  2  4
Curve Equation t Generators 53235r1 [1,-1,0,-76335,-5821984] 2 [2758:22281:8] 53235r2 [1,-1,0,-448980,111263075] 4 [-578:13609:1] 53235r3 [1,-1,0,243075,422826236] 2 [-424210:-15383987:1000] 53235r4 [1,-1,0,-7103355,7288671950] 2 [3253064:-241018567:512]
53235s (4 curves)	1	3- 5+ 7- 13+	1 3- 5+ 7-  0 13+ -2  4
Curve Equation t Generators 53235s1 [1,-1,0,-355185,68351440] 2 [56768:13496348:1] 53235s2 [1,-1,0,-1640430,-744180449] 4 [231187590:3047022857:148877] 53235s3 [1,-1,0,1819845,-3468800984] 2 [25656782479380:-526323731883851:20933297216] 53235s4 [1,-1,0,-25664625,-50037023750] 2 [6198:167084:1]
53235t (1 curve)	1	3- 5+ 7- 13+	1 3- 5+ 7-  3 13+ -8  1
Curve Equation t Generators 53235t1 [1,-1,0,-3015,222106] 1 [50:416:1]
53235u (4 curves)	1	3- 5+ 7- 13+	1 3- 5+ 7-  4 13+ -6 -8
Curve Equation t Generators 53235u1 [1,-1,0,-43380,-797445] 2 [-1402:10165:8] 53235u2 [1,-1,0,-416025,102723336] 4 [-420:14466:1] 53235u3 [1,-1,0,-149850,232244091] 2 [-1436400:-62944641:4096] 53235u4 [1,-1,0,-6644520,6594060825] 2 [-1680:114915:1]
53235v (1 curve)	1	3- 5+ 7- 13+	1 3- 5+ 7-  5 13+  4  5
Curve Equation t Generators 53235v1 [1,-1,0,-5355,-1149134] 1 [293590:3702856:1331]
53235w (1 curve)	1	3- 5+ 7- 13+	-2 3- 5+ 7-  3 13+ -5 -8
Curve Equation t Generators 53235w1 [0,0,1,-85683,-12902432] 1 [367:2254:1]
53235x (2 curves)	0	3- 5+ 7- 13-	1 3- 5+ 7-  0 13-  4 -2
Curve Equation t 53235x1 [1,-1,0,-3015,62856] 2 53235x2 [1,-1,0,-7110,-141075] 2
53235y (2 curves)	2	3- 5+ 7- 13-	-1 3- 5+ 7- -6 13-  2 -4
Curve Equation t Generators 53235y1 [1,-1,1,3127,9416] 2 [36:-428:1]&[54:1373:8] 53235y2 [1,-1,1,-12668,85232] 2 [-30:676:1]&[-72:823:1]
53235z (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+  1 13+ -7 -4
Curve Equation t Generators 53235z1 [0,0,1,-160212,-24718743] 1 [27635:4593496:1]
53235ba (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+ -1 13+  3  4
Curve Equation t Generators 53235ba1 [0,0,1,78,-140] 1 [10:40:1]
53235bb (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+  5 13+  3 -2
Curve Equation t Generators 53235bb1 [0,0,1,-342732,-78964025] 1 [1183:34222:1]
53235bc (4 curves)	1	3- 5- 7+ 13+	1 3- 5- 7+  0 13+ -2  8
Curve Equation t Generators 53235bc1 [1,-1,0,-3834,-85617] 2 [-942:2335:27] 53235bc2 [1,-1,0,-11439,366120] 4 [24:312:1] 53235bc3 [1,-1,0,26586,2259765] 2 [5262:136851:8] 53235bc4 [1,-1,0,-171144,27292383] 2 [114:2985:1]
53235bd (1 curve)	1	3- 5- 7+ 13+	-1 3- 5- 7+ -3 13+ -8 -1
Curve Equation t Generators 53235bd1 [1,-1,1,-509567,486438216] 1 [296:-19161:1]
53235be (6 curves)	1	3- 5- 7+ 13+	-1 3- 5- 7+  4 13+ -2  4
Curve Equation t Generators 53235be1 [1,-1,1,228118,-230196144] 4 [7678:232407:8] 53235be2 [1,-1,1,-4525007,-3494642394] 4 [23902:773907:8] 53235be3 [1,-1,1,-13841132,15540064206] 4 [36275162:929278617:10648] 53235be4 [1,-1,1,-71258882,-231510946494] 2 [5918154:-929087311:216] 53235be5 [1,-1,1,31142443,95556847416] 2 [-1735146452458034:570446457579172971:2153685807944] 53235be6 [1,-1,1,-207882707,1153632709896] 2 [6249619633642:18250544806017:733870808]
53235bf (1 curve)	1	3- 5- 7+ 13+	-1 3- 5- 7+ -5 13+  4 -5
Curve Equation t Generators 53235bf1 [1,-1,1,-32,-516] 1 [14:33:1]
53235bg (1 curve)	1	3- 5- 7+ 13+	2 3- 5- 7+ -3 13+ -5  8
Curve Equation t Generators 53235bg1 [0,0,1,-507,-5873] 1 [338:1751:8]
53235bh (2 curves)	0	3- 5- 7+ 13-	1 3- 5- 7+  6 13-  2  4
Curve Equation t 53235bh1 [1,-1,0,528516,22273083] 2 53235bh2 [1,-1,0,-2140839,180832770] 2
53235bi (2 curves)	0	3- 5- 7+ 13-	-1 3- 5- 7+  0 13-  4  2
Curve Equation t 53235bi1 [1,-1,1,-509567,136565966] 2 53235bi2 [1,-1,1,-1201622,-313546606] 2
53235bj (4 curves)	0	3- 5- 7- 13+	1 3- 5- 7-  4 13+  2 -4
Curve Equation t 53235bj1 [1,-1,0,-216774,38900655] 2 53235bj2 [1,-1,0,-224379,36030528] 4 53235bj3 [1,-1,0,345996,189005103] 2 53235bj4 [1,-1,0,-916434,-300723435] 2
53235bk (1 curve)	0	3- 5- 7- 13+	1 3- 5- 7-  4 13+  7 -6
Curve Equation t 53235bk1 [1,-1,0,-558999,165528468] 1
53235bl (4 curves)	0	3- 5- 7- 13+	-1 3- 5- 7-  0 13+  6  0
Curve Equation t 53235bl1 [1,-1,1,-101432,-12407534] 2 53235bl2 [1,-1,1,-109037,-10433276] 4 53235bl3 [1,-1,1,263608,-66479084] 2 53235bl4 [1,-1,1,-603362,171873784] 2
53235bm (1 curve)	0	3- 5- 7- 13+	2 3- 5- 7- -3 13+ -6 -6
Curve Equation t 53235bm1 [0,0,1,-117,-2545] 1
53235bn (1 curve)	2	3- 5- 7- 13+	-2 3- 5- 7- -3 13+ -1 -2
Curve Equation t Generators 53235bn1 [0,0,1,-117,24482] 1 [-30:31:1]&[12:-158:1]
53235bo (1 curve)	0	3- 5- 7- 13+	-2 3- 5- 7- -5 13+ -2  6
Curve Equation t 53235bo1 [0,0,1,-507,-10098] 1
53235bp (2 curves)	1	3- 5- 7- 13-	1 3- 5- 7-  0 13- -8 -2
Curve Equation t Generators 53235bp1 [1,-1,0,-114945804,416940407235] 2 [3666:209847:1] 53235bp2 [1,-1,0,-1776569859,28821738977838] 2 [22902:-394176:1]

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