Cremona's table of elliptic curves

55811 = 7² · 17 · 67

Class	r	Atkin-Lehner	Eigenvalues
55811a (1 curve)	0	7+ 17- 67+	2  0  1 7+ -3  0 17- -1
Curve Equation t 55811a1 [0,0,1,-3665347,2700976199] 1
55811b (2 curves)	1	7+ 17- 67-	0  1 -3 7+ -3 -4 17- -4
Curve Equation t Generators 55811b1 [0,1,1,33,-1340] 3 [10:9:1] 55811b2 [0,1,1,-8297,-293723] 1 [107:234:1]
55811c (2 curves)	0	7- 17+ 67+	-1  0 -4 7-  0 -6 17+  4
Curve Equation t 55811c1 [1,-1,1,-246847,47263710] 2 55811c2 [1,-1,1,-263262,40632050] 2
55811d (1 curve)	0	7- 17+ 67+	2  0 -1 7- -3  0 17+  1
Curve Equation t 55811d1 [0,0,1,-179602003,-926434836343] 1
55811e (1 curve)	0	7- 17+ 67+	2  0  2 7-  3  5 17+  4
Curve Equation t 55811e1 [0,0,1,-3618209,-2638413367] 1
55811f (1 curve)	1	7- 17+ 67-	0 -1 -2 7-  3  0 17+  3
Curve Equation t Generators 55811f1 [0,-1,1,-5259,148560] 1 [40:24:1]
55811g (2 curves)	1	7- 17+ 67-	0 -1  3 7- -3  4 17+  4
Curve Equation t Generators 55811g1 [0,-1,1,1601,462748] 1 [13090:696477:1000] 55811g2 [0,-1,1,-406569,99933777] 1 [2970:1269:8]
55811h (1 curve)	1	7- 17+ 67-	0  2  4 7- -3 -3 17+  6
Curve Equation t Generators 55811h1 [0,-1,1,-27701,-1765331] 1 [5255873:36381683:24389]
55811i (2 curves)	1	7- 17+ 67-	-1  2  4 7-  2 -2 17+ -4
Curve Equation t Generators 55811i1 [1,1,1,-3921,-55714] 2 [-133270080:-501314891:3048625] 55811i2 [1,1,1,12494,-384014] 2 [294427629447645:3709762339252576:4169394057375]
55811j (1 curve)	1	7- 17+ 67-	-2  2  2 7-  1  5 17+  4
Curve Equation t Generators 55811j1 [0,-1,1,-43332,1794274] 1 [1738:12863:8]
55811k (1 curve)	1	7- 17- 67+	2 -1 -2 7- -5 -4 17-  3
Curve Equation t Generators 55811k1 [0,-1,1,22916,65995] 1 [249132:4352149:1728]
55811l (1 curve)	1	7- 17- 67+	2 -3  2 7- -3  0 17-  7
Curve Equation t Generators 55811l1 [0,0,1,1421,-463479] 1 [6930:204081:8]
55811m (3 curves)	2	7- 17- 67-	0  2  0 7- -3 -5 17- -2
Curve Equation t Generators 55811m1 [0,-1,1,-162843,-25238879] 1 [1505:56002:1]&[-169605:-242:729] 55811m2 [0,-1,1,-167743,-23634178] 1 [-2214:9845:8]&[468:382:1] 55811m3 [0,-1,1,-3155273,2154803755] 1 [553131:10230958:729]&[985:1249:1]
55811n (1 curve)	0	7- 17- 67-	2 -1 -2 7-  5  4 17- -7
Curve Equation t 55811n1 [0,-1,1,26346,-2808345] 1
55811o (1 curve)	2	7- 17- 67-	-2  0  0 7- -3 -1 17-  6
Curve Equation t Generators 55811o1 [0,0,1,-245,-86] 1 [-14:24:1]&[-14:143:8]
55811p (1 curve)	2	7- 17- 67-	-2 -2 -2 7-  1 -5 17- -4
Curve Equation t Generators 55811p1 [0,1,1,-884,-5484] 1 [-26:24:1]&[-12:59:1]

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