Cremona's table of elliptic curves

8272 = 2⁴ · 11 · 47

Class	r	Atkin-Lehner	Eigenvalues
8272a (1 curve)	2	2+ 11+ 47-	2+  0 -4  1 11+ -7 -6  2
Curve Equation t Generators 8272a1 [0,0,0,13,-30] 1 [2:2:1]&[3:6:1]
8272b (1 curve)	0	2+ 11+ 47-	2+  3 -1  4 11+ -4  0  2
Curve Equation t 8272b1 [0,0,0,-6868,-219556] 1
8272c (1 curve)	0	2+ 11- 47+	2+  0  0 -1 11-  5  6  6
Curve Equation t 8272c1 [0,0,0,-6395,-196838] 1
8272d (1 curve)	0	2+ 11- 47+	2+ -1  3  0 11- -6 -2  2
Curve Equation t 8272d1 [0,-1,0,-49,-163] 1
8272e (1 curve)	2	2+ 11- 47+	2+ -2 -2 -3 11- -3  0  0
Curve Equation t Generators 8272e1 [0,1,0,-2784,55780] 1 [-56:198:1]&[27:32:1]
8272f (1 curve)	0	2+ 11- 47+	2+  3  3  2 11-  2  0  0
Curve Equation t 8272f1 [0,0,0,1124,668] 1
8272g (1 curve)	0	2- 11+ 47+	2-  1 -3  2 11+  0 -6 -8
Curve Equation t 8272g1 [0,1,0,-837,248051] 1
8272h (1 curve)	1	2- 11+ 47-	2-  0  0  5 11+  1 -2  2
Curve Equation t Generators 8272h1 [0,0,0,-14315,-4387302] 1 [13763386:378841633:17576]
8272i (1 curve)	1	2- 11+ 47-	2- -1 -1  0 11+  0  4  6
Curve Equation t Generators 8272i1 [0,-1,0,-9581,364177] 1 [57:-2:1]
8272j (2 curves)	1	2- 11+ 47-	2-  2  0  1 11+  5 -6  4
Curve Equation t Generators 8272j1 [0,-1,0,12,188] 1 [-38:9:8] 8272j2 [0,-1,0,-2188,40140] 1 [234:141:8]
8272k (1 curve)	1	2- 11+ 47-	2-  2 -2 -1 11+  1  0  0
Curve Equation t Generators 8272k1 [0,-1,0,176,-2112] 1 [21:102:1]
8272l (1 curve)	1	2- 11+ 47-	2- -3  3  2 11+ -2  4 -4
Curve Equation t Generators 8272l1 [0,0,0,-256,1648] 1 [17:47:1]
8272m (1 curve)	1	2- 11- 47+	2-  1  3 -4 11-  0  0 -2
Curve Equation t Generators 8272m1 [0,1,0,571,-397] 1 [58:517:8]
8272n (1 curve)	1	2- 11- 47+	2- -1  1  2 11-  0 -2  4
Curve Equation t Generators 8272n1 [0,-1,0,595,-1007] 1 [651:4418:27]
8272o (1 curve)	1	2- 11- 47+	2- -1 -1 -4 11- -2 -6  6
Curve Equation t Generators 8272o1 [0,-1,0,619,-13463] 1 [101:1034:1]
8272p (1 curve)	1	2- 11- 47+	2-  2 -2  5 11- -3 -8  4
Curve Equation t Generators 8272p1 [0,-1,0,-184,-912] 1 [138:219:8]

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