Cremona's table of elliptic curves

106742 = 2 · 19 · 53²

Class	r	Atkin-Lehner	Eigenvalues
106742a (2 curves)	1	2+ 19+ 53+	2+  2 -3 -1 -3 -4 -6 19+
Curve Equation t Generators 106742a1 [1,1,0,6726,841364] 1 [5484:85322:27] 106742a2 [1,1,0,-61114,-23920236] 1 [3323460:5052118:9261]
106742b (1 curve)	1	2+ 19+ 53+	2+ -2 -2 -1 -2  3  5 19+
Curve Equation t Generators 106742b1 [1,0,1,-33767,2406960] 1 [-190:1499:1]
106742c (2 curves)	0	2+ 19- 53+	2+  1  4  3  2 -1  3 19-
Curve Equation t 106742c1 [1,0,1,-59,176614] 1 106742c2 [1,0,1,-196689,-37183086] 1
106742d (1 curve)	1	2+ 19- 53-	2+  0  1  4 -5  2  3 19-
Curve Equation t Generators 106742d1 [1,-1,0,136,-824] 1 [15:59:1]
106742e (1 curve)	1	2+ 19- 53-	2+  1  0 -2  4 -6 -3 19-
Curve Equation t Generators 106742e1 [1,0,1,356684,315986866] 1 [21875806:990180197:12167]
106742f (1 curve)	1	2+ 19- 53-	2+  2 -1  3  5  4  2 19-
Curve Equation t Generators 106742f1 [1,1,0,-58,-44796] 1 [1380:7366:27]
106742g (3 curves)	0	2- 19+ 53+	2- -1  0 -1 -6  5  3 19+
Curve Equation t 106742g1 [1,1,1,-43598,3486819] 1 106742g2 [1,1,1,26627,13329555] 1 106742g3 [1,1,1,-240228,-364643867] 1
106742h (1 curve)	2	2- 19+ 53+	2- -1  0 -2  4 -6 -3 19+
Curve Equation t Generators 106742h1 [1,1,1,127,2175] 1 [-9:24:1]&[-5:40:1]
106742i (1 curve)	0	2- 19+ 53+	2-  2  3 -2  1  0  3 19+
Curve Equation t 106742i1 [1,1,1,-54834,27054329] 1
106742j (1 curve)	0	2- 19+ 53+	2- -2  1  3  5  4  2 19+
Curve Equation t 106742j1 [1,0,0,-164385,-6665488391] 1
106742k (1 curve)	0	2- 19+ 53+	2- -2 -2  3  2  1  5 19+
Curve Equation t 106742k1 [1,0,0,942361,169819849] 1
106742l (1 curve)	1	2- 19+ 53-	2-  0 -1  4 -5  2  3 19+
Curve Equation t Generators 106742l1 [1,-1,1,381497,-117712857] 1 [1719124:280964567:64]
106742m (2 curves)	0	2- 19- 53-	2- -2  3 -1 -3 -4 -6 19-
Curve Equation t 106742m1 [1,0,0,18891871,124844116297] 3 106742m2 [1,0,0,-171670689,-3557396230583] 1

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

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