Cremona's table of elliptic curves

17271 = 3² · 19 · 101

Class	r	Atkin-Lehner	Eigenvalues
17271a (1 curve)	1	3+ 19+ 101+	0 3+ -4  4  1  4 -6 19+
Curve Equation t Generators 17271a1 [0,0,1,-102222,12579536] 1 [192:175:1]
17271b (1 curve)	0	3+ 19+ 101-	0 3+  4  4 -1  4  6 19+
Curve Equation t 17271b1 [0,0,1,-11358,-465909] 1
17271c (1 curve)	0	3+ 19- 101+	2 3+ -2  0 -3 -6 -2 19-
Curve Equation t 17271c1 [0,0,1,-3321,-73663] 1
17271d (1 curve)	1	3+ 19- 101-	-2 3+  2  0  3 -6  2 19-
Curve Equation t Generators 17271d1 [0,0,1,-369,2728] 1 [11:0:1]
17271e (1 curve)	0	3- 19+ 101+	0 3- -3 -3 -1  6  7 19+
Curve Equation t 17271e1 [0,0,1,366,-97758] 1
17271f (2 curves)	0	3- 19+ 101+	-1 3- -2 -2  0 -2  2 19+
Curve Equation t 17271f1 [1,-1,1,20839,-4029568] 2 17271f2 [1,-1,1,-287816,-54402064] 2
17271g (2 curves)	0	3- 19+ 101+	2 3-  4 -2  3  4  2 19+
Curve Equation t 17271g1 [0,0,1,-12803943,-17633684619] 1 17271g2 [0,0,1,-160034673,774239692851] 1
17271h (1 curve)	2	3- 19+ 101+	-2 3-  0  2 -5 -4 -6 19+
Curve Equation t Generators 17271h1 [0,0,1,-75,-230] 1 [-5:4:1]&[-4:2:1]
17271i (2 curves)	1	3- 19- 101+	0 3-  3  5 -3  2 -3 19-
Curve Equation t Generators 17271i1 [0,0,1,5776764,-56611845162] 1 [2641005402:93542220757:704969] 17271i2 [0,0,1,-52062906,1540416635109] 3 [8835863245080228945:1317829757081286599747:982255996855125]
17271j (4 curves)	1	3- 19- 101+	1 3-  2 -4 -4 -2  6 19-
Curve Equation t Generators 17271j1 [1,-1,0,-1026,-14801] 2 [17138:2234951:1] 17271j2 [1,-1,0,-17271,-869288] 4 [17138190:2234925977:1000] 17271j3 [1,-1,0,-276336,-55842881] 2 [458200763232810:-60188971308006133:26730899000] 17271j4 [1,-1,0,-18126,-777803] 2 [-34972:34901:343]
17271k (1 curve)	2	3- 19- 101-	0 3- -2 -2 -3  2 -6 19-
Curve Equation t Generators 17271k1 [0,0,1,-696,6547] 1 [5:56:1]&[31:121:1]

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