Cremona's table of elliptic curves

52221 = 3 · 13² · 103

Class	r	Atkin-Lehner	Eigenvalues
52221a (2 curves)	1	3+ 13+ 103+	1 3+ -2  2 -4 13+ -6  2
Curve Equation t Generators 52221a1 [1,1,0,-4566,234135] 2 [1146:8743:27] 52221a2 [1,1,0,-91601,10626114] 2 [110:1322:1]
52221b (1 curve)	1	3+ 13+ 103+	1 3+  4  1 -4 13+ -6 -5
Curve Equation t Generators 52221b1 [1,1,0,-111543,-14390280] 1 [3392930278634922030:123872128833205045965:2336647128852392]
52221c (1 curve)	1	3+ 13+ 103+	-1 3+ -4 -1  4 13+ -6  5
Curve Equation t Generators 52221c1 [1,1,1,-660,-6804] 1 [43:194:1]
52221d (1 curve)	1	3- 13+ 103-	0 3- -1 -2  0 13+ -3  4
Curve Equation t Generators 52221d1 [0,1,1,4169,-11813] 1 [17:253:1]
52221e (2 curves)	1	3- 13+ 103-	0 3-  3  1 -3 13+  0  1
Curve Equation t Generators 52221e1 [0,1,1,-199,550] 1 [-10:40:1] 52221e2 [0,1,1,-7219,-238481] 1 [-49:1:1]
52221f (2 curves)	1	3- 13+ 103-	0 3- -3 -1  3 13+  0 -1
Curve Equation t Generators 52221f1 [0,1,1,-33687,1343567] 3 [-153:1714:1] 52221f2 [0,1,1,-1220067,-519062020] 1 [-642:154:1]
52221g (1 curve)	1	3- 13+ 103-	1 3-  1  2  2 13+  0  8
Curve Equation t Generators 52221g1 [1,0,1,-1018,20789] 1 [13:92:1]
52221h (2 curves)	1	3- 13+ 103-	1 3- -2  2 -4 13+ -6  2
Curve Equation t Generators 52221h1 [1,0,1,17403,-17405] 2 [438400797315:-17289407344097:291434247] 52221h2 [1,0,1,-69632,-156661] 2 [-30303:1980562:2197]
52221i (1 curve)	1	3- 13- 103+	1 3-  2 -1 -5 13- -6  0
Curve Equation t Generators 52221i1 [1,0,1,-326850,72241249] 1 [521:6330:1]
52221j (1 curve)	1	3- 13- 103+	-1 3- -2  1  5 13- -6  0
Curve Equation t Generators 52221j1 [1,0,0,-1934,32733] 1 [1:175:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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