Cremona's table of elliptic curves

23829 = 3 · 13² · 47

Class	r	Atkin-Lehner	Eigenvalues
23829a (1 curve)	1	3+ 13+ 47+	1 3+  0  1 -5 13+  4 -2
Curve Equation t Generators 23829a1 [1,1,0,-31840110,69139591929] 1 [1831816:15563789:512]
23829b (2 curves)	1	3+ 13+ 47+	1 3+  0 -4  0 13+ -6 -2
Curve Equation t Generators 23829b1 [1,1,0,-1355,-27984] 2 [682946:3838451:10648] 23829b2 [1,1,0,-24170,-1456203] 2 [1084:34779:1]
23829c (1 curve)	1	3+ 13+ 47+	2 3+  1  1 -1 13+  2  6
Curve Equation t Generators 23829c1 [0,-1,1,-543560,154274759] 1 [1204287988:6043495077:3241792]
23829d (1 curve)	1	3+ 13+ 47+	-2 3+ -3  1 -5 13+ -2 -2
Curve Equation t Generators 23829d1 [0,-1,1,-5802,-160990] 1 [-43:84:1]
23829e (1 curve)	0	3+ 13+ 47-	0 3+  1  3  3 13+  8  6
Curve Equation t 23829e1 [0,-1,1,-225,-271] 1
23829f (1 curve)	0	3+ 13+ 47-	-1 3+  4 -5  5 13+ -4  6
Curve Equation t 23829f1 [1,1,1,41824,4722986] 1
23829g (1 curve)	0	3+ 13- 47+	1 3+  2 -1 -5 13- -8  4
Curve Equation t 23829g1 [1,1,0,2701,-166902] 1
23829h (1 curve)	1	3+ 13- 47-	-1 3+ -2  1  5 13- -8 -4
Curve Equation t Generators 23829h1 [1,1,1,16,-70] 1 [5:-16:1]
23829i (1 curve)	0	3- 13+ 47+	-1 3-  0 -3 -1 13+  0 -6
Curve Equation t 23829i1 [1,0,0,-5158,-154675] 1
23829j (1 curve)	0	3- 13+ 47+	2 3-  3  3  5 13+ -6  6
Curve Equation t 23829j1 [0,1,1,-2084,13199] 1
23829k (4 curves)	1	3- 13+ 47-	1 3- -2  0 -4 13+  2  0
Curve Equation t Generators 23829k1 [1,0,1,-342,6931] 2 [-13:102:1] 23829k2 [1,0,1,-7947,271585] 4 [910:6885:8] 23829k3 [1,0,1,-10482,82981] 2 [157:1442:1] 23829k4 [1,0,1,-127092,17428465] 2 [8791822:13364837:39304]
23829l (1 curve)	1	3- 13+ 47-	-2 3-  1  3 -1 13+  2 -6
Curve Equation t Generators 23829l1 [0,1,1,-4450,-115748] 1 [-13370:589:343]

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

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