Cremona's table of elliptic curves

51792 = 2⁴ · 3 · 13 · 83

Class	r	Atkin-Lehner	Eigenvalues
51792a (1 curve)	1	2+ 3+ 13+ 83+	2+ 3+  3  0 -3 13+ -4  3
Curve Equation t Generators 51792a1 [0,-1,0,-2824,110032] 1 [9:292:1]
51792b (1 curve)	1	2+ 3+ 13+ 83+	2+ 3+ -3 -2  3 13+  2  7
Curve Equation t Generators 51792b1 [0,-1,0,88,864] 1 [-2:26:1]
51792c (1 curve)	1	2+ 3- 13+ 83-	2+ 3-  1 -4  1 13+  6  5
Curve Equation t Generators 51792c1 [0,1,0,-1080,-14028] 1 [38210:44181:1000]
51792d (2 curves)	1	2+ 3- 13+ 83-	2+ 3- -2  2  4 13+  6 -4
Curve Equation t Generators 51792d1 [0,1,0,36,6156] 2 [-9:72:1] 51792d2 [0,1,0,-4824,124740] 2 [-48:498:1]
51792e (1 curve)	1	2+ 3- 13- 83+	2+ 3-  1 -4  3 13-  2  1
Curve Equation t Generators 51792e1 [0,1,0,-11630600,15733108692] 1 [28458:1113879:8]
51792f (1 curve)	2	2- 3+ 13+ 83+	2- 3+ -1  0 -3 13+  0  1
Curve Equation t Generators 51792f1 [0,-1,0,584,14704] 1 [60:512:1]&[42:334:1]
51792g (4 curves)	0	2- 3+ 13+ 83+	2- 3+  2  0  4 13+ -6 -4
Curve Equation t 51792g1 [0,-1,0,168,-3600] 2 51792g2 [0,-1,0,-2712,-49680] 4 51792g3 [0,-1,0,-8952,269808] 2 51792g4 [0,-1,0,-42552,-3364368] 2
51792h (2 curves)	1	2- 3+ 13- 83+	2- 3+  0  2  0 13-  2 -2
Curve Equation t Generators 51792h1 [0,-1,0,-561293,-133104624] 2 [-38003033622543607540:-365040636792291133094:76432853879266625] 51792h2 [0,-1,0,-8532908,-9590628660] 2 [-484922487917019509478620198498410205950070:-163754617575378991596093705467092954419727:288233436229323427877473748130731533000]
51792i (1 curve)	1	2- 3+ 13- 83+	2- 3+  3  2 -5 13-  6  1
Curve Equation t Generators 51792i1 [0,-1,0,-1944,34032] 1 [34:78:1]
51792j (1 curve)	1	2- 3+ 13- 83+	2- 3+ -3  2  3 13-  2 -5
Curve Equation t Generators 51792j1 [0,-1,0,27248,-1338944] 1 [434:9594:1]
51792k (1 curve)	2	2- 3+ 13- 83-	2- 3+ -1  0 -5 13- -4  1
Curve Equation t Generators 51792k1 [0,-1,0,-34936,2537584] 1 [-183:1664:1]&[12:1456:1]
51792l (1 curve)	0	2- 3- 13+ 83-	2- 3-  1 -4  5 13+ -6 -1
Curve Equation t 51792l1 [0,1,0,-17576120,-28369350828] 1
51792m (1 curve)	0	2- 3- 13+ 83-	2- 3-  3  0 -1 13+  0  1
Curve Equation t 51792m1 [0,1,0,-376104,-92076876] 1
51792n (1 curve)	2	2- 3- 13+ 83-	2- 3- -3 -4 -3 13+  2  1
Curve Equation t Generators 51792n1 [0,1,0,-70632,7899444] 1 [-162:3888:1]&[-100:3738:1]
51792o (2 curves)	0	2- 3- 13- 83+	2- 3- -2  2 -4 13- -2  8
Curve Equation t 51792o1 [0,1,0,-1944,-55404] 2 51792o2 [0,1,0,-36504,-2695788] 2
51792p (1 curve)	2	2- 3- 13- 83+	2- 3- -3 -4 -1 13- -2 -3
Curve Equation t Generators 51792p1 [0,1,0,-72,756] 1 [6:-24:1]&[-10:24:1]
51792q (1 curve)	1	2- 3- 13- 83-	2- 3- -1  2  1 13-  2 -1
Curve Equation t Generators 51792q1 [0,1,0,-817016,283987668] 1 [-116:19422:1]

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

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