Cremona's table of elliptic curves

35475 = 3 · 5² · 11 · 43

Class	r	Atkin-Lehner	Eigenvalues
35475a (1 curve)	1	3+ 5+ 11+ 43+	-1 3+ 5+ -1 11+ -6 -7 -5
Curve Equation t Generators 35475a1 [1,1,1,27,36] 1 [6:18:1]
35475b (1 curve)	0	3+ 5+ 11+ 43-	-1 3+ 5+  1 11+  4  1 -3
Curve Equation t 35475b1 [1,1,1,-15013,1409156] 1
35475c (1 curve)	0	3+ 5- 11+ 43+	2 3+ 5-  4 11+ -2 -5  4
Curve Equation t 35475c1 [0,-1,1,-4708,127443] 1
35475d (1 curve)	1	3+ 5- 11- 43+	-1 3+ 5-  3 11-  0 -3  1
Curve Equation t Generators 35475d1 [1,1,1,-927388,-344134594] 1 [1669042596318:-45765645414166:1115157653]
35475e (6 curves)	1	3- 5+ 11+ 43-	1 3- 5+  0 11+  2  6 -4
Curve Equation t Generators 35475e1 [1,0,1,-127026376,551036834273] 2 [795064721898:-26835228772601:152273304] 35475e2 [1,0,1,-127026501,551035695523] 4 [499204737688041084281646:-16849097337572074177782467:95609622433890033288] 35475e3 [1,0,1,-125075376,568783128523] 2 [8998194272472160771320738857075263664:-287821838105973308660111172537565731863:1183678454399224219550073105625088] 35475e4 [1,0,1,-128979626,533215383023] 4 [-15699334746:8830389899357:10360232] 35475e5 [1,0,1,99785999,2220133101773] 4 [4800052:1327190171:64] 35475e6 [1,0,1,-388995251,-2294194523227] 2 [-41708693345381387118:-1957474294476425847569:5859843393233656]
35475f (2 curves)	1	3- 5+ 11+ 43-	1 3- 5+  0 11+ -4  0  8
Curve Equation t Generators 35475f1 [1,0,1,1974,27823] 2 [-74:783:8] 35475f2 [1,0,1,-10401,250573] 2 [5206:128643:8]
35475g (1 curve)	1	3- 5+ 11+ 43-	-2 3- 5+ -4 11+  2  5  4
Curve Equation t Generators 35475g1 [0,1,1,-188,944] 1 [4:16:1]
35475h (6 curves)	0	3- 5+ 11- 43-	1 3- 5+  0 11- -6  6  4
Curve Equation t 35475h1 [1,0,1,-121001,16647023] 2 35475h2 [1,0,1,-1951126,1048837523] 4 35475h3 [1,0,1,-1966251,1031746273] 4 35475h4 [1,0,1,-31218001,67133441273] 2 35475h5 [1,0,1,576124,3513104273] 2 35475h6 [1,0,1,-4750626,-2543391227] 2
35475i (1 curve)	0	3- 5+ 11- 43-	1 3- 5+ -3 11-  0  3  1
Curve Equation t 35475i1 [1,0,1,-37096,-2753077] 1
35475j (1 curve)	1	3- 5- 11+ 43+	1 3- 5- -1 11+ -4 -1 -3
Curve Equation t Generators 35475j1 [1,0,1,-601,11273] 1 [-17:137:1]
35475k (1 curve)	0	3- 5- 11+ 43-	1 3- 5-  1 11+  6  7 -5
Curve Equation t 35475k1 [1,0,1,674,3173] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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