Cremona's table of elliptic curves

51262 = 2 · 19² · 71

Class	r	Atkin-Lehner	Eigenvalues
51262a (1 curve)	1	2+ 19+ 71+	2+ -3 -1  4 -2  6  2 19+
Curve Equation t Generators 51262a1 [1,-1,0,9860,188944] 1 [-16:172:1]
51262b (1 curve)	0	2+ 19- 71+	2+  3 -4 -3  0 -1  0 19-
Curve Equation t 51262b1 [1,-1,0,-4219,-83611] 1
51262c (2 curves)	1	2+ 19- 71-	2+ -1  0 -1  0  1  0 19-
Curve Equation t Generators 51262c1 [1,1,0,-2895,-60659] 1 [-234:181:8] 51262c2 [1,1,0,-20945,1124143] 1 [71:0:1]
51262d (2 curves)	1	2+ 19- 71-	2+ -1 -3  2  0  4  6 19-
Curve Equation t Generators 51262d1 [1,1,0,62446,63989044] 1 [3948:2757194:343] 51262d2 [1,1,0,-10363234,12839617316] 1 [1880:1474:1]
51262e (2 curves)	0	2- 19+ 71+	2-  1 -3  2  0 -4  6 19+
Curve Equation t 51262e1 [1,0,0,173,-9311] 3 51262e2 [1,0,0,-28707,-1874959] 1
51262f (2 curves)	1	2- 19- 71+	2-  0  2  0  6 -4  6 19-
Curve Equation t Generators 51262f1 [1,-1,1,-429,22613] 2 [309:5260:1] 51262f2 [1,-1,1,-14869,698405] 2 [8571:138296:27]
51262g (1 curve)	1	2- 19- 71+	2- -3  2 -3 -6  5  6 19-
Curve Equation t Generators 51262g1 [1,-1,1,-948054,-353601435] 1 [-535:779:1]
51262h (2 curves)	0	2- 19- 71-	2-  0  2 -2  4  6  2 19-
Curve Equation t 51262h1 [1,-1,1,-1170069,488195693] 2 51262h2 [1,-1,1,-18729109,31202468461] 2
51262i (1 curve)	0	2- 19- 71-	2-  1 -2 -1 -2  3 -6 19-
Curve Equation t 51262i1 [1,0,0,-549,2963] 1
51262j (1 curve)	0	2- 19- 71-	2- -2  4 -1  4  0  0 19-
Curve Equation t 51262j1 [1,0,0,13169,2540793] 1
51262k (1 curve)	0	2- 19- 71-	2-  3 -1  4 -2 -6  2 19-
Curve Equation t 51262k1 [1,-1,1,27,-35] 1

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

Part of Computational Number Theory
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