Cremona's table of elliptic curves

128744 = 2³ · 7 · 11² · 19

Class	r	Atkin-Lehner	Eigenvalues
128744a (1 curve)	0	2+ 7+ 11- 19+	2+  3 -2 7+ 11- -5 -1 19+
Curve Equation t 128744a1 [0,0,0,-451,14366] 1
128744b (1 curve)	1	2+ 7+ 11- 19-	2+ -1 -4 7+ 11-  1  3 19-
Curve Equation t Generators 128744b1 [0,-1,0,-40,-724] 1 [13:28:1]
128744c (4 curves)	1	2+ 7- 11- 19+	2+  0 -2 7- 11- -6 -2 19+
Curve Equation t Generators 128744c1 [0,0,0,-17666,397969] 2 [132:605:1] 128744c2 [0,0,0,-236071,44122650] 4 [2211:101640:1] 128744c3 [0,0,0,-190091,61824950] 2 [-473:6776:1] 128744c4 [0,0,0,-3776531,2824799934] 2 [66594:2491390:27]
128744d (1 curve)	1	2+ 7- 11- 19+	2+  2  1 7- 11-  5  3 19+
Curve Equation t Generators 128744d1 [0,-1,0,-40,2268] 1 [18:84:1]
128744e (2 curves)	1	2+ 7- 11- 19+	2+  2  2 7- 11- -4 -4 19+
Curve Equation t Generators 128744e1 [0,-1,0,-112812,70126388] 2 [479727002490:-11982628593496:766060875] 128744e2 [0,-1,0,-3333832,2336436060] 2 [2777910:-41245028:3375]
128744f (1 curve)	2	2- 7+ 11- 19-	2- -1 -3 7+ 11-  6  0 19-
Curve Equation t Generators 128744f1 [0,-1,0,36623,-1665211] 1 [499:11858:1]&[107:1862:1]
128744g (1 curve)	0	2- 7+ 11- 19-	2-  2  1 7+ 11- -5 -3 19-
Curve Equation t 128744g1 [0,-1,0,-4880,-2999236] 1
128744h (2 curves)	0	2- 7+ 11- 19-	2-  2 -2 7+ 11- -2  6 19-
Curve Equation t 128744h1 [0,-1,0,-2339,9308] 2 128744h2 [0,-1,0,9156,64484] 2
128744i (2 curves)	0	2- 7+ 11- 19-	2- -2 -2 7+ 11-  6  2 19-
Curve Equation t 128744i1 [0,1,0,-2339,-97154] 2 128744i2 [0,1,0,-48924,-4178000] 2
128744j (1 curve)	0	2- 7- 11- 19+	2- -1 -4 7- 11- -1 -3 19+
Curve Equation t 128744j1 [0,-1,0,-4880,983116] 1
128744k (2 curves)	0	2- 7- 11- 19+	2-  2 -2 7- 11-  2 -2 19+
Curve Equation t 128744k1 [0,-1,0,-375019,-88880196] 2 128744k2 [0,-1,0,-6011804,-5671552060] 2
128744l (1 curve)	1	2- 7- 11- 19-	2-  3 -2 7- 11-  5  1 19-
Curve Equation t Generators 128744l1 [0,0,0,-54571,-19121146] 1 [872652:15658489:1728]

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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