Cremona's table of elliptic curves

81585 = 3² · 5 · 7² · 37

Class	r	Atkin-Lehner	Eigenvalues
81585a (1 curve)	1	3+ 5+ 7+ 37+	-1 3+ 5+ 7+ -3  5 -2 -4
Curve Equation t Generators 81585a1 [1,-1,1,-28748,-1567044] 1 [-127:216:1]
81585b (1 curve)	0	3+ 5+ 7- 37+	1 3+ 5+ 7-  3 -5 -2  4
Curve Equation t 81585b1 [1,-1,0,-5280,-122599] 1
81585c (1 curve)	0	3+ 5+ 7- 37+	2 3+ 5+ 7-  0 -1 -4  4
Curve Equation t 81585c1 [0,0,1,147,943] 1
81585d (2 curves)	1	3+ 5+ 7- 37-	1 3+ 5+ 7- -2  4 -6  2
Curve Equation t Generators 81585d1 [1,-1,0,-76155,8475200] 2 [80:1660:1] 81585d2 [1,-1,0,-1233780,527785775] 2 [310:13075:1]
81585e (1 curve)	0	3+ 5- 7+ 37+	1 3+ 5- 7+  3  5  2 -4
Curve Equation t 81585e1 [1,-1,0,-258729,42568910] 1
81585f (1 curve)	1	3+ 5- 7- 37+	-1 3+ 5- 7- -3 -5  2  4
Curve Equation t Generators 81585f1 [1,-1,1,-587,4736] 1 [6:34:1]
81585g (1 curve)	1	3+ 5- 7- 37+	-2 3+ 5- 7-  0 -1  4  4
Curve Equation t Generators 81585g1 [0,0,1,1323,-25468] 1 [210:1319:8]
81585h (2 curves)	0	3+ 5- 7- 37-	-1 3+ 5- 7-  2  4  6  2
Curve Equation t 81585h1 [1,-1,1,-8462,-311076] 2 81585h2 [1,-1,1,-137087,-19501926] 2
81585i (1 curve)	0	3- 5+ 7+ 37+	-1 3- 5+ 7+  3 -3 -2  4
Curve Equation t 81585i1 [1,-1,1,-3070913,1881946406] 1
81585j (1 curve)	1	3- 5+ 7+ 37-	-1 3- 5+ 7+  5 -1 -6  4
Curve Equation t Generators 81585j1 [1,-1,1,-8168,-177208] 1 [-24:79:1]
81585k (1 curve)	1	3- 5+ 7- 37+	0 3- 5+ 7- -2 -5 -2  8
Curve Equation t Generators 81585k1 [0,0,1,-3590328,5229432108] 1 [-406:81364:1]
81585l (1 curve)	1	3- 5+ 7- 37+	0 3- 5+ 7- -4 -5 -2 -6
Curve Equation t Generators 81585l1 [0,0,1,-588,-262481] 1 [91:661:1]
81585m (2 curves)	1	3- 5+ 7- 37+	1 3- 5+ 7-  0  0 -2  0
Curve Equation t Generators 81585m1 [1,-1,0,180,-365] 2 [18:83:1] 81585m2 [1,-1,0,-765,-2444] 2 [-12:76:1]
81585n (2 curves)	1	3- 5+ 7- 37+	1 3- 5+ 7-  2  4  6  0
Curve Equation t Generators 81585n1 [1,-1,0,56880,5220571] 2 [18:2491:1] 81585n2 [1,-1,0,-328995,49750546] 2 [-382:11126:1]
81585o (2 curves)	1	3- 5+ 7- 37+	-1 3- 5+ 7-  0  2  2 -2
Curve Equation t Generators 81585o1 [1,-1,1,-1553,-22368] 2 [150:1686:1] 81585o2 [1,-1,1,652,-82344] 2 [48:216:1]
81585p (1 curve)	1	3- 5+ 7- 37+	-1 3- 5+ 7-  3 -4 -1  4
Curve Equation t Generators 81585p1 [1,-1,1,326992,-11700048] 1 [842:28905:1]
81585q (1 curve)	1	3- 5+ 7- 37+	2 3- 5+ 7- -3  2 -4  4
Curve Equation t Generators 81585q1 [0,0,1,-68943,6967273] 1 [405454:216453:2744]
81585r (2 curves)	0	3- 5+ 7- 37-	1 3- 5+ 7-  0  6 -6  6
Curve Equation t 81585r1 [1,-1,0,92160,-8556269] 2 81585r2 [1,-1,0,-478935,-76973450] 2
81585s (4 curves)	2	3- 5+ 7- 37-	1 3- 5+ 7- -4 -2  6  0
Curve Equation t Generators 81585s1 [1,-1,0,-71010,73006191] 2 [-222:8931:1]&[870:64833:8] 81585s2 [1,-1,0,-3089655,2077990200] 4 [888:5388:1]&[17390:591555:8] 81585s3 [1,-1,0,-5129280,-1004699025] 2 [-1902:44169:1]&[-642:45303:1] 81585s4 [1,-1,0,-49348350,133443432261] 2 [3588:48831:1]&[12006722:91990389:2744]
81585t (4 curves)	2	3- 5+ 7- 37-	-1 3- 5+ 7-  0 -2 -2  0
Curve Equation t Generators 81585t1 [1,-1,1,18292,640406] 2 [-8:706:1]&[30:1087:1] 81585t2 [1,-1,1,-89753,5696912] 4 [-264:3439:1]&[-183:4087:1] 81585t3 [1,-1,1,-660848,-202638544] 2 [-474:2221:1]&[-3522:15203:8] 81585t4 [1,-1,1,-1247378,536352212] 2 [-705:32986:1]&[-372:30988:1]
81585u (2 curves)	0	3- 5- 7- 37+	1 3- 5- 7-  0  0  2  0
Curve Equation t 81585u1 [1,-1,0,8811,107568] 2 81585u2 [1,-1,0,-37494,913275] 2
81585v (1 curve)	0	3- 5- 7- 37+	-1 3- 5- 7-  3  0 -7 -4
Curve Equation t 81585v1 [1,-1,1,-435497,-113935314] 1
81585w (1 curve)	0	3- 5- 7- 37+	-1 3- 5- 7-  3  3  2 -4
Curve Equation t 81585w1 [1,-1,1,-150474722,-645206667906] 1
81585x (2 curves)	0	3- 5- 7- 37+	-1 3- 5- 7- -6  0  2 -4
Curve Equation t 81585x1 [1,-1,1,-60369602,194748833976] 2 81585x2 [1,-1,1,-986855477,11932583681526] 2
81585y (2 curves)	0	3- 5- 7- 37+	-1 3- 5- 7- -6  4  2  4
Curve Equation t 81585y1 [1,-1,1,-16547,-2593006] 2 81585y2 [1,-1,1,-402422,-97981306] 2
81585z (2 curves)	1	3- 5- 7- 37-	0 3- 5- 7-  0  1  6 -2
Curve Equation t Generators 81585z1 [0,0,1,-1060752,-435887573] 1 [195748:10105483:64] 81585z2 [0,0,1,-86791152,-311215553168] 1 [11556949519780:-1681518981416117:460099648]
81585ba (1 curve)	1	3- 5- 7- 37-	0 3- 5- 7- -2  1 -2  4
Curve Equation t Generators 81585ba1 [0,0,1,-6762,307242] 1 [-70:661:1]
81585bb (1 curve)	1	3- 5- 7- 37-	0 3- 5- 7-  5 -4 -4  8
Curve Equation t Generators 81585bb1 [0,0,1,-2352,41760] 1 [18:72:1]
81585bc (1 curve)	1	3- 5- 7- 37-	0 3- 5- 7- -5  1  1 -2
Curve Equation t Generators 81585bc1 [0,0,1,8363418,-20047334463] 1 [8337:793187:1]
81585bd (2 curves)	1	3- 5- 7- 37-	1 3- 5- 7-  0 -6  6 -6
Curve Equation t Generators 81585bd1 [1,-1,0,1881,24408] 2 [24:276:1] 81585bd2 [1,-1,0,-9774,227205] 2 [-36:747:1]
81585be (8 curves)	1	3- 5- 7- 37-	1 3- 5- 7-  4  2  2  4
Curve Equation t Generators 81585be1 [1,-1,0,-952569,373224928] 2 [-12478590443970016:-167308086284353909:11877321834496] 81585be2 [1,-1,0,-15419574,23309214655] 4 [113140937968:-51612858557:49836032] 81585be3 [1,-1,0,-15598179,22741715128] 4 [-4456:63500:1] 81585be4 [1,-1,0,-246713049,1491606452650] 2 [800657925529238128:-400321505586871877:88287570685952] 81585be5 [1,-1,0,8711946,87119788153] 2 [-359178166:6863140175:97336] 81585be6 [1,-1,0,-42765984,-77958470885] 4 [-2673080:-26657105:512] 81585be7 [1,-1,0,110205891,-509369752760] 2 [13736:1889432:1] 81585be8 [1,-1,0,-630422739,-6091685107502] 2 [-4590773915480:-2028293490173:314432000]
81585bf (1 curve)	1	3- 5- 7- 37-	1 3- 5- 7- -5 -4  5 -8
Curve Equation t Generators 81585bf1 [1,-1,0,-9,-27770] 1 [170:2120:1]
81585bg (1 curve)	1	3- 5- 7- 37-	-1 3- 5- 7-  5  1  6 -4
Curve Equation t Generators 81585bg1 [1,-1,1,-167,564] 1 [-1:27:1]
81585bh (1 curve)	1	3- 5- 7- 37-	2 3- 5- 7- -1  1 -3 -4
Curve Equation t Generators 81585bh1 [0,0,1,-31017,3219655] 1 [994:9061:8]

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