Cremona's table of elliptic curves

53404 = 2² · 13² · 79

Class	r	Atkin-Lehner	Eigenvalues
53404a (1 curve)	0	2- 13+ 79+	2-  1  2  3  3 13+  1  1
Curve Equation t 53404a1 [0,1,0,-22702,1235365] 1
53404b (1 curve)	2	2- 13+ 79+	2-  1 -2 -3 -3 13+  1 -1
Curve Equation t Generators 53404b1 [0,1,0,-134,521] 1 [20:79:1]&[5:1:1]
53404c (1 curve)	0	2- 13+ 79+	2- -1 -1 -3 -2 13+  4 -6
Curve Equation t 53404c1 [0,-1,0,-30476,-2037608] 1
53404d (1 curve)	0	2- 13+ 79+	2-  2  4 -3  2 13+ -4 -6
Curve Equation t 53404d1 [0,-1,0,-901,-704367] 1
53404e (1 curve)	1	2- 13+ 79-	2-  2  3 -2  6 13+  5 -4
Curve Equation t Generators 53404e1 [0,-1,0,-4,792] 1 [-66:6083:216]
53404f (1 curve)	1	2- 13+ 79-	2-  2 -3  2 -6 13+  5  4
Curve Equation t Generators 53404f1 [0,-1,0,-732,1737176] 1 [-2526:26702:27]
53404g (2 curves)	1	2- 13+ 79-	2- -2  3  2 -3 13+  6 -7
Curve Equation t Generators 53404g1 [0,1,0,-13914,628993] 3 [481:10269:1] 53404g2 [0,1,0,30026,3309333] 1 [4281:280371:1]
53404h (2 curves)	1	2- 13+ 79-	2- -2 -3 -2  3 13+  6  7
Curve Equation t Generators 53404h1 [0,1,0,-82,261] 1 [5:1:1] 53404h2 [0,1,0,178,1561] 1 [13:-79:1]
53404i (1 curve)	1	2- 13+ 79-	2- -3 -1 -1  6 13+ -4  6
Curve Equation t Generators 53404i1 [0,0,0,-1183,-4394] 1 [-30:64:1]

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

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