Cremona's table of elliptic curves

13475 = 5² · 7² · 11

Class	r	Atkin-Lehner	Eigenvalues
13475a (3 curves)	0	5+ 7- 11+	0  1 5+ 7- 11+ -4 -6 -2
Curve Equation t 13475a1 [0,1,1,-109433,-13970456] 1 13475a2 [0,1,1,-60433,-26459331] 1 13475a3 [0,1,1,539817,684536794] 1
13475b (2 curves)	0	5+ 7- 11+	0 -2 5+ 7- 11+ -1  3  1
Curve Equation t 13475b1 [0,1,1,-40833,-241881] 1 13475b2 [0,1,1,-2184583,1242061244] 1
13475c (1 curve)	0	5+ 7- 11+	0 -3 5+ 7- 11+ -4  2  6
Curve Equation t 13475c1 [0,0,1,2450,-10719] 1
13475d (2 curves)	0	5+ 7- 11+	1 -2 5+ 7- 11+  4 -4  8
Curve Equation t 13475d1 [1,0,1,-26,-300177] 2 13475d2 [1,0,1,-67401,-6633427] 2
13475e (4 curves)	0	5+ 7- 11+	-1  0 5+ 7- 11+  2  6  4
Curve Equation t 13475e1 [1,-1,1,995,-9628] 2 13475e2 [1,-1,1,-5130,-83128] 4 13475e3 [1,-1,1,-72505,-7494378] 2 13475e4 [1,-1,1,-35755,2550622] 2
13475f (1 curve)	1	5+ 7- 11-	0  0 5+ 7- 11-  5  5 -5
Curve Equation t Generators 13475f1 [0,0,1,-350,1776] 1 [-6:60:1]
13475g (1 curve)	1	5+ 7- 11-	0  0 5+ 7- 11- -5 -5  5
Curve Equation t Generators 13475g1 [0,0,1,-17150,-609254] 1 [196:1886:1]
13475h (4 curves)	1	5+ 7- 11-	1  0 5+ 7- 11- -6  6  4
Curve Equation t Generators 13475h1 [1,-1,0,-44942,-4923409] 2 [16138:2041803:1] 13475h2 [1,-1,0,-786067,-268022784] 4 [3300561708796:57434600735602:2797260929] 13475h3 [1,-1,0,-12576692,-17163988409] 2 [2502408293378422594:-312461773196092411433:153491301696088] 13475h4 [1,-1,0,-853442,-219310659] 2 [-7152444:-54588003:24389]
13475i (2 curves)	1	5+ 7- 11-	-1  2 5+ 7- 11-  4  4  0
Curve Equation t Generators 13475i1 [1,1,1,4262,-404594] 2 [181560:14799694:27] 13475i2 [1,1,1,-63113,-5659844] 2 [26900:4398387:1]
13475j (3 curves)	1	5+ 7- 11-	2 -1 5+ 7- 11-  4 -2  0
Curve Equation t Generators 13475j1 [0,-1,1,-408,-7407] 1 [149410:1800789:1000] 13475j2 [0,-1,1,-12658,997093] 1 [698:5925:8] 13475j3 [0,-1,1,-9579908,11415939093] 1 [848174262:-198125:474552]
13475k (1 curve)	1	5+ 7- 11-	-2  0 5+ 7- 11- -3 -3  7
Curve Equation t Generators 13475k1 [0,0,1,-245,1286] 1 [14:24:1]
13475l (1 curve)	1	5- 7+ 11-	1 -1 5- 7+ 11-  6 -6 -6
Curve Equation t Generators 13475l1 [1,1,0,220,3025] 1 [0:55:1]
13475m (1 curve)	1	5- 7+ 11-	-1  1 5- 7+ 11- -6  6 -6
Curve Equation t Generators 13475m1 [1,0,0,5487,367142] 1 [277:4674:1]
13475n (2 curves)	1	5- 7- 11+	0  2 5- 7- 11+  1 -3  1
Curve Equation t Generators 13475n1 [0,-1,1,-1633,-1282] 1 [138:1543:1] 13475n2 [0,-1,1,-87383,9971443] 1 [187:367:1]
13475o (1 curve)	0	5- 7- 11-	0  0 5- 7- 11-  5  5  5
Curve Equation t 13475o1 [0,0,1,-428750,-76156719] 1
13475p (1 curve)	2	5- 7- 11-	0  0 5- 7- 11- -5 -5 -5
Curve Equation t Generators 13475p1 [0,0,1,-8750,222031] 1 [-91:514:1]&[25:137:1]
13475q (1 curve)	0	5- 7- 11-	1  1 5- 7- 11- -6  6  6
Curve Equation t 13475q1 [1,0,1,10754,-1005287] 1
13475r (2 curves)	0	5- 7- 11-	1 -2 5- 7- 11- -2 -2  0
Curve Equation t 13475r1 [1,0,1,69799,-40607577] 2 13475r2 [1,0,1,-1430826,-622850077] 2
13475s (2 curves)	0	5- 7- 11-	1 -2 5- 7- 11-  6  6  0
Curve Equation t 13475s1 [1,0,1,-3946,99663] 2 13475s2 [1,0,1,-63971,6222213] 2
13475t (1 curve)	0	5- 7- 11-	-1 -1 5- 7- 11-  6 -6  6
Curve Equation t 13475t1 [1,1,1,268862,-125660844] 1
13475u (2 curves)	0	5- 7- 11-	-1  2 5- 7- 11-  2  2  0
Curve Equation t 13475u1 [1,1,1,2792,-323744] 2 13475u2 [1,1,1,-57233,-5005694] 2
13475v (2 curves)	0	5- 7- 11-	-1  2 5- 7- 11- -6 -6  0
Curve Equation t 13475v1 [1,1,1,-98638,12457906] 2 13475v2 [1,1,1,-1599263,777776656] 2
13475w (1 curve)	0	5- 7- 11-	2  0 5- 7- 11-  3  3  7
Curve Equation t 13475w1 [0,0,1,-6125,160781] 1

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