Cremona's table of elliptic curves

8742 = 2 · 3 · 31 · 47

Class	r	Atkin-Lehner	Eigenvalues
8742a (1 curve)	1	2+ 3+ 31+ 47+	2+ 3+  2  0  0  2  5  6
Curve Equation t Generators 8742a1 [1,1,0,-1164,14808] 1 [19:-8:1]
8742b (1 curve)	0	2+ 3+ 31- 47+	2+ 3+ -1  0 -5  0 -6 -4
Curve Equation t 8742b1 [1,1,0,183222,-20910636] 1
8742c (1 curve)	0	2+ 3+ 31- 47+	2+ 3+  2  0  4  6 -3  2
Curve Equation t 8742c1 [1,1,0,-4119,100053] 1
8742d (1 curve)	0	2+ 3- 31+ 47+	2+ 3-  2 -4  0 -2  3 -6
Curve Equation t 8742d1 [1,0,1,-135,-182] 1
8742e (1 curve)	1	2+ 3- 31+ 47-	2+ 3-  0  2  2 -6 -3  2
Curve Equation t Generators 8742e1 [1,0,1,-89891,-10365730] 1 [-174:208:1]
8742f (1 curve)	1	2+ 3- 31+ 47-	2+ 3- -3 -4 -1  0  6 -4
Curve Equation t Generators 8742f1 [1,0,1,0,-8] 1 [2:0:1]
8742g (1 curve)	0	2- 3+ 31+ 47+	2- 3+ -4  3  0 -4  2 -3
Curve Equation t 8742g1 [1,1,1,-196125,-33512589] 1
8742h (1 curve)	0	2- 3+ 31- 47-	2- 3+  1  0 -1  6  0  8
Curve Equation t 8742h1 [1,1,1,-125,-3877] 1
8742i (2 curves)	1	2- 3- 31+ 47+	2- 3-  0  0  2 -4 -2 -2
Curve Equation t Generators 8742i1 [1,0,0,557,-10591] 2 [20:83:1] 8742i2 [1,0,0,-5203,-124639] 2 [-40:161:1]
8742j (1 curve)	1	2- 3- 31+ 47+	2- 3- -1 -4  3 -2  0  0
Curve Equation t Generators 8742j1 [1,0,0,-661,6497] 1 [14:-1:1]
8742k (2 curves)	0	2- 3- 31- 47+	2- 3-  0 -1  0 -4  6  5
Curve Equation t 8742k1 [1,0,0,27,729] 3 8742k2 [1,0,0,-243,-19737] 1
8742l (1 curve)	0	2- 3- 31- 47+	2- 3-  4  2  2 -2  5 -6
Curve Equation t 8742l1 [1,0,0,-16,-22] 1

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

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