Cremona's table of elliptic curves

57434 = 2 · 13 · 47²

Class	r	Atkin-Lehner	Eigenvalues
57434a (1 curve)	0	2+ 13+ 47-	2+  0  0  2  0 13+ -3  0
Curve Equation t 57434a1 [1,-1,0,-26687,2185229] 1
57434b (3 curves)	0	2+ 13+ 47-	2+  1  3 -1 -6 13+ -3 -2
Curve Equation t 57434b1 [1,0,1,1058,-21662] 1 57434b2 [1,0,1,-9987,764742] 1 57434b3 [1,0,1,-1015082,393555868] 1
57434c (1 curve)	0	2+ 13+ 47-	2+  2 -4  0  0 13+  1  2
Curve Equation t 57434c1 [1,1,0,14313,-225355] 1
57434d (1 curve)	1	2+ 13- 47-	2+  0  0  2  0 13- -3  0
Curve Equation t Generators 57434d1 [1,-1,0,-58951997,-226169608123] 1 [18560656939:970929797237:1771561]
57434e (2 curves)	1	2- 13+ 47-	2-  1  0 -4  0 13+ -3  4
Curve Equation t Generators 57434e1 [1,0,0,142,-124] 1 [20:94:1] 57434e2 [1,0,0,-1738,31084] 1 [822:1786:27]
57434f (2 curves)	0	2- 13- 47-	2-  1  0 -4  0 13- -3 -4
Curve Equation t 57434f1 [1,0,0,313632,14128640] 3 57434f2 [1,0,0,-3839288,-3242591224] 1
57434g (1 curve)	0	2- 13- 47-	2-  2  0  4 -4 13- -7 -2
Curve Equation t 57434g1 [1,1,1,-547878,155867555] 1
57434h (2 curves)	0	2- 13- 47-	2- -3  1  1  2 13- -3 -6
Curve Equation t 57434h1 [1,-1,1,-5937,-267807] 1 57434h2 [1,-1,1,-469827,136115853] 1

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

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