Cremona's table of elliptic curves

67275 = 3² · 5² · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
67275a (2 curves)	1	3+ 5+ 13+ 23+	1 3+ 5+ -4  0 13+  6 -4
Curve Equation t Generators 67275a1 [1,-1,0,-492,4291] 2 [18:23:1] 67275a2 [1,-1,0,-867,-2834] 2 [-10:74:1]
67275b (2 curves)	2	3+ 5+ 13+ 23-	-1 3+ 5+ -4  0 13+ -6 -4
Curve Equation t Generators 67275b1 [1,-1,1,-4430,-111428] 2 [-40:43:1]&[-37:46:1] 67275b2 [1,-1,1,-7805,84322] 2 [-86:380:1]&[-61:605:1]
67275c (2 curves)	0	3+ 5+ 13- 23+	1 3+ 5+ -2 -4 13- -2  0
Curve Equation t 67275c1 [1,-1,0,4689183,-6355953784] 2 67275c2 [1,-1,0,-36374442,-68649472909] 2
67275d (2 curves)	1	3+ 5+ 13- 23-	-1 3+ 5+ -2  4 13-  2  0
Curve Equation t Generators 67275d1 [1,-1,1,521020,235232022] 2 [-292:7770:1] 67275d2 [1,-1,1,-4041605,2543920272] 2 [674:10875:1]
67275e (3 curves)	0	3- 5+ 13+ 23+	0 3- 5+  1  0 13+  3  2
Curve Equation t 67275e1 [0,0,1,-131700,-23207594] 1 67275e2 [0,0,1,993300,219933031] 1 67275e3 [0,0,1,-19920450,34802719906] 1
67275f (1 curve)	0	3- 5+ 13+ 23+	1 3- 5+ -1  3 13+  6 -4
Curve Equation t 67275f1 [1,-1,0,4833,-100634] 1
67275g (1 curve)	0	3- 5+ 13+ 23+	1 3- 5+ -1  6 13+ -3 -4
Curve Equation t 67275g1 [1,-1,0,-2817,-47534] 1
67275h (2 curves)	0	3- 5+ 13+ 23+	1 3- 5+  2  6 13+ -6  2
Curve Equation t 67275h1 [1,-1,0,29449008,201603088291] 2 67275h2 [1,-1,0,-388255617,2684857083916] 2
67275i (2 curves)	0	3- 5+ 13+ 23+	1 3- 5+ -2  2 13+  2  6
Curve Equation t 67275i1 [1,-1,0,-21942,-18896409] 2 67275i2 [1,-1,0,-1206567,-505777284] 2
67275j (2 curves)	2	3- 5+ 13+ 23+	-1 3- 5+ -2 -2 13+ -6 -2
Curve Equation t Generators 67275j1 [1,-1,1,-5,30372] 2 [-22:150:1]&[8:-180:1] 67275j2 [1,-1,1,-14630,673872] 2 [-106:1065:1]&[-81:1190:1]
67275k (4 curves)	0	3- 5+ 13+ 23+	-1 3- 5+  4  4 13+  6 -8
Curve Equation t 67275k1 [1,-1,1,-4410455,-3613780578] 2 67275k2 [1,-1,1,-70840580,-229476205578] 4 67275k3 [1,-1,1,-71113955,-227615615328] 2 67275k4 [1,-1,1,-1133449205,-14687329157328] 2
67275l (4 curves)	0	3- 5+ 13+ 23+	-1 3- 5+ -4  0 13+  2  0
Curve Equation t 67275l1 [1,-1,1,-11705,-624328] 2 67275l2 [1,-1,1,-201830,-34846828] 4 67275l3 [1,-1,1,-216455,-29494078] 2 67275l4 [1,-1,1,-3229205,-2232721078] 2
67275m (4 curves)	1	3- 5+ 13+ 23-	-1 3- 5+  0  0 13+  6 -4
Curve Equation t Generators 67275m1 [1,-1,1,-4280,108722] 2 [40:-2:1] 67275m2 [1,-1,1,-5405,47972] 4 [-66:370:1] 67275m3 [1,-1,1,20470,358472] 2 [3:646:1] 67275m4 [1,-1,1,-49280,-4164028] 2 [294:2440:1]
67275n (2 curves)	1	3- 5+ 13- 23+	-1 3- 5+  0 -2 13- -4  4
Curve Equation t Generators 67275n1 [1,-1,1,931495,-478427128] 2 [1404:59260:1] 67275n2 [1,-1,1,-6483380,-4927352128] 2 [-1326:37225:1]
67275o (1 curve)	1	3- 5+ 13- 23+	-1 3- 5+  1 -2 13-  5  0
Curve Equation t Generators 67275o1 [1,-1,1,-247730,-47396478] 1 [804:16110:1]
67275p (1 curve)	1	3- 5+ 13- 23+	-1 3- 5+  2 -5 13-  3  6
Curve Equation t Generators 67275p1 [1,-1,1,1930,3422] 1 [0:58:1]
67275q (2 curves)	1	3- 5+ 13- 23+	-1 3- 5+ -4 -2 13-  0  0
Curve Equation t Generators 67275q1 [1,-1,1,-234230,45391772] 2 [168:3196:1] 67275q2 [1,-1,1,-3788105,2838737522] 2 [654:24985:1]
67275r (1 curve)	2	3- 5+ 13- 23-	-1 3- 5+ -1 -2 13- -3  4
Curve Equation t Generators 67275r1 [1,-1,1,-6176855,2406761272] 1 [-2221:72985:1]&[-1876:86900:1]
67275s (1 curve)	0	3- 5+ 13- 23-	-1 3- 5+ -1  3 13-  6  0
Curve Equation t 67275s1 [1,-1,1,-14855,-693228] 1
67275t (1 curve)	0	3- 5+ 13- 23-	-1 3- 5+  2 -3 13-  3  6
Curve Equation t 67275t1 [1,-1,1,-70430,7212822] 1
67275u (1 curve)	2	3- 5+ 13- 23-	-1 3- 5+ -3 -5 13-  2 -8
Curve Equation t Generators 67275u1 [1,-1,1,561370,-372944878] 1 [41349:8388700:1]&[984:-34130:1]
67275v (2 curves)	0	3- 5+ 13- 23-	-1 3- 5+  4 -2 13- -4  0
Curve Equation t 67275v1 [1,-1,1,-17765105,36824710272] 2 67275v2 [1,-1,1,-305628980,2056477657272] 2
67275w (1 curve)	0	3- 5+ 13- 23-	2 3- 5+ -1  6 13-  3 -6
Curve Equation t 67275w1 [0,0,1,14325,2565031] 1
67275x (1 curve)	1	3- 5- 13+ 23+	0 3- 5- -1 -2 13+ -3  0
Curve Equation t Generators 67275x1 [0,0,1,2250,-105469] 1 [375:7312:1]
67275y (1 curve)	1	3- 5- 13+ 23+	1 3- 5- -2 -3 13+ -3  6
Curve Equation t Generators 67275y1 [1,-1,0,-2817,58266] 1 [30:-24:1]
67275z (1 curve)	1	3- 5- 13+ 23+	-1 3- 5- -1 -6 13+  1  2
Curve Equation t Generators 67275z1 [1,-1,1,-13055,407072] 1 [94:15:1]
67275ba (1 curve)	1	3- 5- 13+ 23+	-1 3- 5-  3  3 13+ -6 -2
Curve Equation t Generators 67275ba1 [1,-1,1,-90680,-21764928] 1 [594:11265:1]
67275bb (1 curve)	0	3- 5- 13+ 23-	0 3- 5-  5 -2 13+ -5 -4
Curve Equation t 67275bb1 [0,0,1,-2698500,-1706367969] 1
67275bc (1 curve)	0	3- 5- 13+ 23-	1 3- 5- -2 -5 13+ -3  6
Curve Equation t 67275bc1 [1,-1,0,48258,476041] 1
67275bd (1 curve)	0	3- 5- 13- 23+	0 3- 5- -5 -2 13-  5 -4
Curve Equation t 67275bd1 [0,0,1,-107940,-13650944] 1
67275be (1 curve)	1	3- 5- 13- 23-	0 3- 5-  1 -2 13-  3  0
Curve Equation t Generators 67275be1 [0,0,1,90,-844] 1 [10:32:1]
67275bf (1 curve)	1	3- 5- 13- 23-	1 3- 5-  1 -6 13- -1  2
Curve Equation t Generators 67275bf1 [1,-1,0,-522,3361] 1 [24:53:1]
67275bg (1 curve)	1	3- 5- 13- 23-	1 3- 5- -3  3 13-  6 -2
Curve Equation t Generators 67275bg1 [1,-1,0,-3627,-173394] 1 [78:78:1]

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