Cremona's table of elliptic curves

67725 = 3² · 5² · 7 · 43

Class	r	Atkin-Lehner	Eigenvalues
67725a (1 curve)	1	3+ 5+ 7+ 43+	1 3+ 5+ 7+ -3  0  1 -4
Curve Equation t Generators 67725a1 [1,-1,0,-3815742,2869862041] 1 [140880:-63241:125]
67725b (2 curves)	1	3+ 5+ 7+ 43+	1 3+ 5+ 7+ -6  6  4 -4
Curve Equation t Generators 67725b1 [1,-1,0,-2667,-38384] 2 [-36:118:1] 67725b2 [1,-1,0,6708,-254009] 2 [462:4319:8]
67725c (1 curve)	1	3+ 5+ 7+ 43+	-1 3+ 5+ 7+  3  0 -1 -4
Curve Equation t Generators 67725c1 [1,-1,1,-34341680,-77451933428] 1 [2886314137074706:6942487303483971797:498677257]
67725d (2 curves)	1	3+ 5+ 7+ 43+	-1 3+ 5+ 7+  6  6 -4 -4
Curve Equation t Generators 67725d1 [1,-1,1,-24005,1060372] 2 [-76:1600:1] 67725d2 [1,-1,1,60370,6797872] 2 [59:3220:1]
67725e (1 curve)	1	3+ 5+ 7- 43-	0 3+ 5+ 7-  2 -5  6  4
Curve Equation t Generators 67725e1 [0,0,1,-2700,235406] 1 [180:2362:1]
67725f (1 curve)	1	3+ 5+ 7- 43-	0 3+ 5+ 7- -2 -5 -6  4
Curve Equation t Generators 67725f1 [0,0,1,-300,-8719] 1 [45:-263:1]
67725g (1 curve)	1	3+ 5+ 7- 43-	1 3+ 5+ 7- -1  4  3  0
Curve Equation t Generators 67725g1 [1,-1,0,-57,-54] 1 [-2:8:1]
67725h (1 curve)	1	3+ 5+ 7- 43-	-1 3+ 5+ 7-  1  4 -3  0
Curve Equation t Generators 67725h1 [1,-1,1,-515,1972] 1 [28:80:1]
67725i (1 curve)	0	3+ 5- 7+ 43+	1 3+ 5- 7+  1 -4  3  0
Curve Equation t 67725i1 [1,-1,0,-12867,233666] 1
67725j (1 curve)	2	3+ 5- 7+ 43+	-1 3+ 5- 7+ -1 -4 -3  0
Curve Equation t Generators 67725j1 [1,-1,1,-1430,-8178] 1 [44:90:1]&[-31:90:1]
67725k (1 curve)	0	3+ 5- 7- 43-	1 3+ 5- 7-  3  0  1 -4
Curve Equation t 67725k1 [1,-1,0,-1373667,-619340734] 1
67725l (1 curve)	2	3+ 5- 7- 43-	-1 3+ 5- 7- -3  0 -1 -4
Curve Equation t Generators 67725l1 [1,-1,1,-152630,22989422] 1 [190:811:1]&[-3306:33005:8]
67725m (3 curves)	0	3- 5+ 7+ 43+	0 3- 5+ 7+  3 -5 -3  2
Curve Equation t 67725m1 [0,0,1,-9750,146709031] 1 67725m2 [0,0,1,-21333000,37927407406] 1 67725m3 [0,0,1,-1728003000,27648072000031] 1
67725n (2 curves)	0	3- 5+ 7+ 43+	0 3- 5+ 7+ -3  1 -3 -4
Curve Equation t 67725n1 [0,0,1,-20550,-1963094] 1 67725n2 [0,0,1,172950,36301531] 1
67725o (2 curves)	0	3- 5+ 7+ 43+	1 3- 5+ 7+  0  0 -2  2
Curve Equation t 67725o1 [1,-1,0,-13167,738616] 2 67725o2 [1,-1,0,-225792,41349991] 2
67725p (4 curves)	1	3- 5+ 7+ 43-	1 3- 5+ 7+  0 -2  2  0
Curve Equation t Generators 67725p1 [1,-1,0,-401334192,-3094519865909] 2 [-250783754224387510949762994156104304:125389913377709561426471523766356427:21682854403374165244853657145344] 67725p2 [1,-1,0,-401335317,-3094501648784] 4 [-420584293531008792:7682213534769371:36356800113152] 67725p3 [1,-1,0,-390934692,-3262482143159] 2 [4064409512377088986521412568712:854371049697319221055775246272369:76765143816005392899772928] 67725p4 [1,-1,0,-411753942,-2925355271909] 2 [-5196622818:-186903064841:551368]
67725q (1 curve)	1	3- 5+ 7+ 43-	1 3- 5+ 7+ -3 -6 -7 -2
Curve Equation t Generators 67725q1 [1,-1,0,-1197,16146] 1 [30:-96:1]
67725r (4 curves)	1	3- 5+ 7+ 43-	-1 3- 5+ 7+  0  2  6  0
Curve Equation t Generators 67725r1 [1,-1,1,-31505,-2120128] 2 [-96:160:1] 67725r2 [1,-1,1,-59630,2267372] 4 [62:10715:8] 67725r3 [1,-1,1,215995,17151122] 2 [-45:2731:1] 67725r4 [1,-1,1,-785255,267846122] 2 [4382:8655:8]
67725s (1 curve)	1	3- 5+ 7+ 43-	-2 3- 5+ 7+  3  1  5  0
Curve Equation t Generators 67725s1 [0,0,1,-75,289156] 1 [5:-538:1]
67725t (1 curve)	1	3- 5+ 7+ 43-	-2 3- 5+ 7+  3  3 -7 -8
Curve Equation t Generators 67725t1 [0,0,1,-53175,-4784094] 1 [680:16537:1]
67725u (1 curve)	1	3- 5+ 7+ 43-	-2 3- 5+ 7+ -6 -3 -4  4
Curve Equation t Generators 67725u1 [0,0,1,6675,-419594] 1 [280:-4838:1]
67725v (1 curve)	1	3- 5+ 7- 43+	0 3- 5+ 7-  3 -1  1 -6
Curve Equation t Generators 67725v1 [0,0,1,1500,31] 1 [5:87:1]
67725w (4 curves)	1	3- 5+ 7- 43+	-1 3- 5+ 7-  4 -6 -6  4
Curve Equation t Generators 67725w1 [1,-1,1,45895,59445272] 2 [-102186:1556365:343] 67725w2 [1,-1,1,-2034230,1082866772] 4 [960:3268:1] 67725w3 [1,-1,1,-5081855,-2921712478] 2 [29985:5162221:1] 67725w4 [1,-1,1,-32268605,70561460522] 2 [3414:11680:1]
67725x (1 curve)	1	3- 5+ 7- 43+	2 3- 5+ 7- -2 -3  0  4
Curve Equation t Generators 67725x1 [0,0,1,-8175,-300969] 1 [306670:1167053:2744]
67725y (1 curve)	0	3- 5+ 7- 43-	0 3- 5+ 7- -4  2 -7  0
Curve Equation t 67725y1 [0,0,1,-67800,-6806489] 1
67725z (4 curves)	0	3- 5+ 7- 43-	1 3- 5+ 7-  4  2  6  0
Curve Equation t 67725z1 [1,-1,0,-21601917,38649798616] 2 67725z2 [1,-1,0,-21630042,38544132991] 4 67725z3 [1,-1,0,-9778167,80582733616] 2 67725z4 [1,-1,0,-33931917,-10257405134] 2
67725ba (2 curves)	0	3- 5+ 7- 43-	1 3- 5+ 7- -4  4 -6  6
Curve Equation t 67725ba1 [1,-1,0,-64692,551303091] 2 67725ba2 [1,-1,0,-10483317,12897373716] 2
67725bb (1 curve)	0	3- 5+ 7- 43-	-2 3- 5+ 7- -5 -1  3  0
Curve Equation t 67725bb1 [0,0,1,-1875,-1677344] 1
67725bc (1 curve)	1	3- 5- 7+ 43+	0 3- 5- 7+ -4 -2  7  0
Curve Equation t Generators 67725bc1 [0,0,1,-1695000,-850811094] 1 [30300:5269337:1]
67725bd (2 curves)	1	3- 5- 7+ 43+	-1 3- 5- 7+  0  6  6 -4
Curve Equation t Generators 67725bd1 [1,-1,1,-65,712] 2 [4:-25:1] 67725bd2 [1,-1,1,-1640,25912] 2 [-31:230:1]
67725be (1 curve)	1	3- 5- 7+ 43+	2 3- 5- 7+ -5  1 -3  0
Curve Equation t Generators 67725be1 [0,0,1,-75,-13419] 1 [4258:98213:8]
67725bf (2 curves)	2	3- 5- 7+ 43-	-1 3- 5- 7+  0 -6 -2  0
Curve Equation t Generators 67725bf1 [1,-1,1,-2525,49452] 2 [-16:300:1]&[24:35:1] 67725bf2 [1,-1,1,-2300,58452] 2 [-31:330:1]&[18:-160:1]
67725bg (2 curves)	0	3- 5- 7- 43+	1 3- 5- 7-  0  6  2  0
Curve Equation t 67725bg1 [1,-1,0,-63117,6118416] 2 67725bg2 [1,-1,0,-57492,7249041] 2
67725bh (1 curve)	0	3- 5- 7- 43+	-1 3- 5- 7- -3  6  7 -2
Curve Equation t 67725bh1 [1,-1,1,-29930,1988322] 1
67725bi (2 curves)	1	3- 5- 7- 43-	1 3- 5- 7-  0 -6 -6 -4
Curve Equation t Generators 67725bi1 [1,-1,0,-1617,87416] 2 [28:238:1] 67725bi2 [1,-1,0,-40992,3198041] 2 [974:-253:8]

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