Cremona's table of elliptic curves

35035 = 5 · 7² · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
35035a (2 curves)	0	5+ 7- 11+ 13+	0  2 5+ 7- 11+ 13+  3 -5
Curve Equation t 35035a1 [0,-1,1,-261,-2654] 1 35035a2 [0,-1,1,2189,48551] 1
35035b (1 curve)	0	5+ 7- 11+ 13+	-2  0 5+ 7- 11+ 13+  3  1
Curve Equation t 35035b1 [0,0,1,2107,716098] 1
35035c (4 curves)	1	5+ 7- 11+ 13-	1  0 5+ 7- 11+ 13-  2 -8
Curve Equation t Generators 35035c1 [1,-1,0,34585,-55695200] 2 [69553206:7561468781:5832] 35035c2 [1,-1,0,-1994260,-1054292709] 4 [-210544129210882:-939566445396559:239598771931] 35035c3 [1,-1,0,-4781135,2544677666] 2 [409108529785174722483066:-44310709576818325152667765:34079726184381927288] 35035c4 [1,-1,0,-31668905,-68587849800] 2 [-3679732806288879339453059280:1573105241311895013202107765:1132846325411819123585024]
35035d (1 curve)	1	5+ 7- 11+ 13-	-1 -1 5+ 7- 11+ 13- -8  2
Curve Equation t Generators 35035d1 [1,1,1,-15156,739234] 1 [8:-791:1]
35035e (2 curves)	1	5+ 7- 11- 13+	-1  0 5+ 7- 11- 13+ -6 -6
Curve Equation t Generators 35035e1 [1,-1,1,-42444373,106501596996] 2 [3502:26546:1] 35035e2 [1,-1,1,-679211868,6813446268332] 2 [13988:-229332:1]
35035f (4 curves)	0	5+ 7- 11- 13-	1  0 5+ 7- 11- 13-  2  0
Curve Equation t 35035f1 [1,-1,0,-1430,16575] 2 35035f2 [1,-1,0,-7555,-237000] 4 35035f3 [1,-1,0,5920,-999685] 2 35035f4 [1,-1,0,-119030,-15776615] 2
35035g (1 curve)	0	5+ 7- 11- 13-	-2  0 5+ 7- 11- 13-  5  3
Curve Equation t 35035g1 [0,0,1,-3653783,2688204104] 1
35035h (1 curve)	0	5+ 7- 11- 13-	-2  0 5+ 7- 11- 13-  5 -5
Curve Equation t 35035h1 [0,0,1,-54483443,-251212428336] 1
35035i (1 curve)	0	5- 7+ 11+ 13+	-1  1 5- 7+ 11+ 13+  8 -2
Curve Equation t 35035i1 [1,0,0,-742645,-255785258] 1
35035j (2 curves)	0	5- 7- 11+ 13-	1  0 5- 7- 11+ 13-  6  2
Curve Equation t 35035j1 [1,-1,0,-37739,13941248] 2 35035j2 [1,-1,0,-1130194,461192325] 2

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

Part of Computational Number Theory
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