Cremona's table of elliptic curves

28175 = 5² · 7² · 23

Class	r	Atkin-Lehner	Eigenvalues
28175a (1 curve)	2	5+ 7+ 23-	-2 -2 5+ 7+ -2  0  2 -6
Curve Equation t Generators 28175a1 [0,1,1,-408,4344] 1 [-166:521:8]&[-12:87:1]
28175b (1 curve)	0	5+ 7- 23+	1  0 5+ 7- -1  1  0  5
Curve Equation t 28175b1 [1,-1,0,-107,-134] 1
28175c (2 curves)	0	5+ 7- 23+	1  0 5+ 7-  2  4 -6  8
Curve Equation t 28175c1 [1,-1,0,-199292,34281491] 2 28175c2 [1,-1,0,-168667,45153366] 2
28175d (4 curves)	0	5+ 7- 23+	1  0 5+ 7- -4 -2  6 -4
Curve Equation t 28175d1 [1,-1,0,2833,-101050384] 2 28175d2 [1,-1,0,-3237292,-2203891509] 4 28175d3 [1,-1,0,-6759167,3448717866] 2 28175d4 [1,-1,0,-51557417,-142477214384] 2
28175e (2 curves)	0	5+ 7- 23+	-1  2 5+ 7-  0 -4 -2 -8
Curve Equation t 28175e1 [1,1,1,45912,21657656] 2 28175e2 [1,1,1,-940213,331300906] 2
28175f (2 curves)	0	5+ 7- 23+	-1 -2 5+ 7-  0  4  2  8
Curve Equation t 28175f1 [1,0,0,937,-63008] 2 28175f2 [1,0,0,-19188,-968633] 2
28175g (1 curve)	0	5+ 7- 23+	-2  0 5+ 7-  2 -2  3  2
Curve Equation t 28175g1 [0,0,1,8575,460906] 1
28175h (1 curve)	0	5+ 7- 23+	-2  3 5+ 7- -1  7  3  8
Curve Equation t 28175h1 [0,0,1,-15925,-2111594] 1
28175i (4 curves)	1	5+ 7- 23-	1  0 5+ 7-  4  6 -2 -4
Curve Equation t Generators 28175i1 [1,-1,0,-4517,115016] 2 [262:169:8] 28175i2 [1,-1,0,-10642,-258609] 4 [-16446:78523:216] 28175i3 [1,-1,0,32233,-1844984] 2 [32622:2068639:8] 28175i4 [1,-1,0,-151517,-22657734] 2 [-2454296358:441367079:10941048]
28175j (2 curves)	1	5+ 7- 23-	1  2 5+ 7- -6  2  2  4
Curve Equation t Generators 28175j1 [1,1,0,-375,-1000] 2 [-420:1210:27] 28175j2 [1,1,0,-4750,-127875] 2 [190590:2340957:1000]
28175k (2 curves)	1	5+ 7- 23-	1 -2 5+ 7- -6 -2 -2 -4
Curve Equation t Generators 28175k1 [1,0,1,-18401,287823] 2 [-43:1021:1] 28175k2 [1,0,1,-232776,43162823] 2 [-143:8646:1]
28175l (1 curve)	1	5+ 7- 23-	-2  1 5+ 7- -3  1 -5  2
Curve Equation t Generators 28175l1 [0,1,1,39842,-1203156] 1 [1353:50312:1]
28175m (1 curve)	1	5+ 7- 23-	-2 -1 5+ 7- -3 -1  5 -2
Curve Equation t Generators 28175m1 [0,-1,1,1952242,416586918] 1 [1797:98612:1]
28175n (1 curve)	1	5+ 7- 23-	-2 -1 5+ 7- -5  3 -5  0
Curve Equation t Generators 28175n1 [0,-1,1,28179492,-102938084082] 1 [1142724:236768599:27]
28175o (1 curve)	1	5+ 7- 23-	-2  2 5+ 7- -2  0 -2  6
Curve Equation t Generators 28175o1 [0,-1,1,-20008,-1530082] 1 [68334:525799:343]
28175p (1 curve)	0	5- 7+ 23+	0  2 5- 7+  2 -4  5 -4
Curve Equation t 28175p1 [0,-1,1,-1143,-15737] 1
28175q (1 curve)	0	5- 7+ 23+	1  2 5- 7+  0 -4 -1  0
Curve Equation t 28175q1 [1,1,0,-1740,-28825] 1
28175r (1 curve)	0	5- 7+ 23+	2 -2 5- 7+  0 -2 -2  6
Curve Equation t 28175r1 [0,1,1,100042,13024869] 1
28175s (1 curve)	1	5- 7+ 23-	0 -2 5- 7+  2  4 -5 -4
Curve Equation t Generators 28175s1 [0,1,1,-28583,-2024256] 1 [157794:3113391:343]
28175t (1 curve)	1	5- 7+ 23-	-1 -2 5- 7+  0  4  1  0
Curve Equation t Generators 28175t1 [1,0,0,-43513,-3516108] 1 [727:18324:1]
28175u (1 curve)	1	5- 7+ 23-	-2  2 5- 7+  0  2  2  6
Curve Equation t Generators 28175u1 [0,-1,1,4002,102598] 1 [131:-1691:1]
28175v (1 curve)	1	5- 7- 23+	0  1 5- 7- -1  1  1 -2
Curve Equation t Generators 28175v1 [0,1,1,-16823,-845561] 1 [233:-2818:1]
28175w (1 curve)	1	5- 7- 23+	0 -2 5- 7-  2  4 -5  4
Curve Equation t Generators 28175w1 [0,1,1,-23,39] 1 [3:2:1]
28175x (1 curve)	1	5- 7- 23+	1 -2 5- 7-  0  4  1  0
Curve Equation t Generators 28175x1 [1,0,1,-85286,9631143] 1 [167:146:1]
28175y (1 curve)	1	5- 7- 23+	2  2 5- 7-  0  2  2 -6
Curve Equation t Generators 28175y1 [0,-1,1,2042,-38557] 1 [2605016346:39755277445:11543176]
28175z (1 curve)	1	5- 7- 23+	2 -2 5- 7-  0 -2  5 -8
Curve Equation t Generators 28175z1 [0,1,1,-22458,-1307631] 1 [298239624192:-4012421203537:1073741824]
28175ba (1 curve)	0	5- 7- 23-	0 -1 5- 7- -1 -1 -1 -2
Curve Equation t 28175ba1 [0,-1,1,-420583,-104853932] 1
28175bb (1 curve)	0	5- 7- 23-	0  2 5- 7-  2 -4  5  4
Curve Equation t 28175bb1 [0,-1,1,-583,6068] 1
28175bc (1 curve)	0	5- 7- 23-	-1  0 5- 7- -1 -1  0  5
Curve Equation t 28175bc1 [1,-1,1,-2680,-19428] 1
28175bd (1 curve)	0	5- 7- 23-	-1  2 5- 7-  0 -4 -1  0
Curve Equation t 28175bd1 [1,1,1,-2132138,1203892906] 1
28175be (1 curve)	0	5- 7- 23-	-2  2 5- 7-  0  2 -5 -8
Curve Equation t 28175be1 [0,-1,1,-898,-10102] 1
28175bf (1 curve)	2	5- 7- 23-	-2 -2 5- 7-  0 -2 -2 -6
Curve Equation t Generators 28175bf1 [0,1,1,82,-276] 1 [3:2:1]&[4:11:1]

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