Cremona's table of elliptic curves

6138 = 2 · 3² · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
6138a (2 curves)	0	2+ 3+ 11+ 31-	2+ 3+ -2  4 11+  0 -6 -2
Curve Equation t 6138a1 [1,-1,0,-5928,-174196] 2 6138a2 [1,-1,0,-5658,-190990] 2
6138b (2 curves)	2	2+ 3+ 11- 31+	2+ 3+ -4  0 11- -4 -6 -8
Curve Equation t Generators 6138b1 [1,-1,0,-579,3029] 2 [-23:73:1]&[-10:93:1] 6138b2 [1,-1,0,-8019,278309] 2 [-82:657:1]&[-38:745:1]
6138c (1 curve)	0	2+ 3- 11+ 31+	2+ 3-  2 -3 11+ -4 -3 -2
Curve Equation t 6138c1 [1,-1,0,3234,176660] 1
6138d (4 curves)	0	2+ 3- 11+ 31+	2+ 3-  2  4 11+  2 -2  0
Curve Equation t 6138d1 [1,-1,0,144,0] 2 6138d2 [1,-1,0,-576,432] 4 6138d3 [1,-1,0,-6156,-183708] 2 6138d4 [1,-1,0,-6516,203580] 2
6138e (1 curve)	0	2+ 3- 11+ 31+	2+ 3- -2  1 11+  4  5  6
Curve Equation t 6138e1 [1,-1,0,-2628,100386] 1
6138f (2 curves)	1	2+ 3- 11+ 31-	2+ 3-  2 -2 11+ -4  6 -2
Curve Equation t Generators 6138f1 [1,-1,0,-569601,-164384451] 2 [557445:36372252:125] 6138f2 [1,-1,0,-926721,66815037] 2 [-23946:384653:27]
6138g (6 curves)	1	2+ 3- 11- 31+	2+ 3-  2  0 11- -2 -2  4
Curve Equation t Generators 6138g1 [1,-1,0,-12096,-536576] 2 [151280634240:-721476975808:1108717875] 6138g2 [1,-1,0,-196416,-33456128] 4 [17969:2398943:1] 6138g3 [1,-1,0,-3142656,-2143553216] 2 [219039511:29131085977:12167] 6138g4 [1,-1,0,-199296,-32422208] 4 [521:1967:1] 6138g5 [1,-1,0,-591336,134665240] 2 [77005:207859:125] 6138g6 [1,-1,0,146664,-133373336] 2 [1085:35543:1]
6138h (2 curves)	1	2+ 3- 11- 31+	2+ 3- -2  2 11-  4 -2 -2
Curve Equation t Generators 6138h1 [1,-1,0,-873,5629] 2 [38:143:1] 6138h2 [1,-1,0,-6453,-194135] 2 [-43:71:1]
6138i (3 curves)	0	2+ 3- 11- 31-	2+ 3-  0 -1 11- -4  3  2
Curve Equation t 6138i1 [1,-1,0,-297,-1971] 1 6138i2 [1,-1,0,1503,-6075] 3 6138i3 [1,-1,0,-18027,1060263] 3
6138j (2 curves)	0	2- 3+ 11+ 31+	2- 3+  4  0 11+ -4  6 -8
Curve Equation t 6138j1 [1,-1,1,-5213,-76571] 2 6138j2 [1,-1,1,-72173,-7442171] 2
6138k (2 curves)	0	2- 3+ 11- 31-	2- 3+  2  4 11-  0  6 -2
Curve Equation t 6138k1 [1,-1,1,-659,6671] 2 6138k2 [1,-1,1,-629,7283] 2
6138l (2 curves)	0	2- 3- 11+ 31-	2- 3-  0  4 11+ -2  2 -6
Curve Equation t 6138l1 [1,-1,1,-362390,-83857755] 2 6138l2 [1,-1,1,-317750,-105320667] 2
6138m (1 curve)	0	2- 3- 11+ 31-	2- 3- -2 -1 11+  0  5 -2
Curve Equation t 6138m1 [1,-1,1,-531086,-148848483] 1
6138n (2 curves)	0	2- 3- 11+ 31-	2- 3-  4 -4 11+  6  2 -2
Curve Equation t 6138n1 [1,-1,1,-563,-561] 2 6138n2 [1,-1,1,2227,-6141] 2
6138o (1 curve)	0	2- 3- 11- 31+	2- 3-  2  3 11-  4  7 -2
Curve Equation t 6138o1 [1,-1,1,31,-615] 1
6138p (2 curves)	1	2- 3- 11- 31-	2- 3-  2 -2 11-  0 -6 -2
Curve Equation t Generators 6138p1 [1,-1,1,-1544,-20149] 2 [-27:49:1] 6138p2 [1,-1,1,-23864,-1412917] 2 [-89:49:1]

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