Cremona's table of elliptic curves

33635 = 5 · 7 · 31²

Class	r	Atkin-Lehner	Eigenvalues
33635a (1 curve)	0	5+ 7+ 31-	0  3 5+ 7+ -4  2  1  3
Curve Equation t 33635a1 [0,0,1,1922,4371829] 1
33635b (3 curves)	1	5+ 7- 31-	0 -1 5+ 7-  3 -5 -3  2
Curve Equation t Generators 33635b1 [0,-1,1,-1281,-19158] 1 [1168:39881:1] 33635b2 [0,-1,1,8329,47151] 1 [21:480:1] 33635b3 [0,-1,1,-126211,18095692] 1 [602:24021:8]
33635c (1 curve)	1	5+ 7- 31-	0 -1 5+ 7- -4  2 -3 -5
Curve Equation t Generators 33635c1 [0,-1,1,12357179,-19979133239] 1 [1890885:501010129:27]
33635d (2 curves)	1	5+ 7- 31-	-1  0 5+ 7-  4  4 -4  4
Curve Equation t Generators 33635d1 [1,-1,1,-103,10206] 2 [40:242:1] 33635d2 [1,-1,1,-7698,259322] 2 [-23:662:1]
33635e (2 curves)	1	5+ 7- 31-	-1  0 5+ 7- -4 -4  4  4
Curve Equation t Generators 33635e1 [1,-1,1,-98683,-303265398] 2 [11368:1205753:1] 33635e2 [1,-1,1,-7397478,-7666289794] 2 [-68501353445:-337227598354:44738875]
33635f (2 curves)	1	5+ 7- 31-	-1  2 5+ 7-  2  2 -2  4
Curve Equation t Generators 33635f1 [1,1,1,-10591,-508412] 2 [3084912:24204556:19683] 33635f2 [1,1,1,-178766,-29165432] 2 [4905952796907:-150641754636284:4467667023]
33635g (1 curve)	0	5- 7+ 31+	0  0 5- 7+  1  4  2  0
Curve Equation t 33635g1 [0,0,1,-59582,-4386725] 1
33635h (1 curve)	0	5- 7+ 31+	-1  2 5- 7+  4 -5  3  1
Curve Equation t 33635h1 [1,1,1,-19240,984982] 1
33635i (1 curve)	1	5- 7+ 31-	0  0 5- 7+ -1 -4 -2  0
Curve Equation t Generators 33635i1 [0,0,1,-62,147] 1 [-3:17:1]
33635j (1 curve)	1	5- 7+ 31-	0 -3 5- 7+ -1 -7  7  6
Curve Equation t Generators 33635j1 [0,0,1,-799552,278180910] 1 [558:2402:1]
33635k (4 curves)	1	5- 7+ 31-	-1  0 5- 7+  4 -2  2  4
Curve Equation t Generators 33635k1 [1,-1,1,22403,527844] 4 [1782:74586:1] 33635k2 [1,-1,1,-97722,4467944] 4 [12314033:507722154:6859] 33635k3 [1,-1,1,-842497,-294335786] 2 [466872007472970:-17491810268104501:246491883000] 33635k4 [1,-1,1,-1274947,553996574] 2 [-6818:259031:8]
33635l (1 curve)	1	5- 7+ 31-	-1 -2 5- 7+ -4  5 -3  1
Curve Equation t Generators 33635l1 [1,0,0,-20,-35] 1 [-3:2:1]
33635m (1 curve)	1	5- 7+ 31-	2  1 5- 7+  5  5  3 -2
Curve Equation t Generators 33635m1 [0,1,1,-320,262771] 1 [8233932278:154949246613:23393656]
33635n (1 curve)	1	5- 7+ 31-	2 -3 5- 7+  1  1 -1 -2
Curve Equation t Generators 33635n1 [0,0,1,-32642287,125285894097] 1 [-1248618:75078017:216]
33635o (1 curve)	1	5- 7+ 31-	-2  1 5- 7+  1 -3 -5 -2
Curve Equation t Generators 33635o1 [0,1,1,-31992010,-69659326194] 1 [435405:287278937:1]

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