Cremona's table of elliptic curves

21775 = 5² · 13 · 67

Class	r	Atkin-Lehner	Eigenvalues
21775a (2 curves)	1	5+ 13+ 67+	0  2 5+  4  0 13+  3 -7
Curve Equation t Generators 21775a1 [0,-1,1,-128883,17852293] 1 [197:262:1] 21775a2 [0,-1,1,-60133,36692918] 1 [6072:472762:1]
21775b (1 curve)	1	5+ 13+ 67+	-2  1 5+  0  3 13+  6  8
Curve Equation t Generators 21775b1 [0,1,1,-8,394] 1 [-7:12:1]
21775c (1 curve)	0	5+ 13- 67+	0  0 5+  0 -2 13-  1  4
Curve Equation t 21775c1 [0,0,1,2500,-202344] 1
21775d (4 curves)	0	5+ 13- 67+	-1  0 5+  0 -4 13- -2  8
Curve Equation t 21775d1 [1,-1,1,245,4122] 2 21775d2 [1,-1,1,-2880,54122] 4 21775d3 [1,-1,1,-11005,-384628] 2 21775d4 [1,-1,1,-44755,3655372] 4
21775e (1 curve)	0	5+ 13- 67+	2  0 5+  0  2 13-  1 -7
Curve Equation t 21775e1 [0,0,1,-8034575,-8777720219] 1
21775f (1 curve)	2	5+ 13- 67+	-2 -2 5+ -2  0 13-  5 -5
Curve Equation t Generators 21775f1 [0,1,1,-1058,15294] 1 [-38:45:1]&[-12:162:1]
21775g (1 curve)	1	5- 13+ 67-	0  0 5-  0 -2 13+ -1  4
Curve Equation t Generators 21775g1 [0,0,1,100,-1619] 1 [19:84:1]
21775h (1 curve)	1	5- 13+ 67-	0  3 5-  2 -5 13+  8  6
Curve Equation t Generators 21775h1 [0,0,1,-10750,544531] 1 [25275:768799:27]
21775i (1 curve)	1	5- 13- 67+	0 -3 5- -2 -5 13- -8  6
Curve Equation t Generators 21775i1 [0,0,1,-430,4356] 1 [10:32:1]

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