Cremona's table of elliptic curves

40053 = 3 · 13² · 79

Class	r	Atkin-Lehner	Eigenvalues
40053a (1 curve)	1	3+ 13+ 79+	0 3+  0  4 -6 13+  7 -7
Curve Equation t Generators 40053a1 [0,-1,1,-563,-4834] 1 [-118:49:8]
40053b (1 curve)	1	3+ 13+ 79+	0 3+  0 -4  6 13+  7  7
Curve Equation t Generators 40053b1 [0,-1,1,-95203,-11000481] 1 [-511609827:54612919:3307949]
40053c (1 curve)	1	3+ 13+ 79+	1 3+  1 -4 -4 13+  3 -4
Curve Equation t Generators 40053c1 [1,1,0,213613,2891322] 1 [482:14528:1]
40053d (1 curve)	1	3+ 13+ 79+	-1 3+ -1  4  4 13+  3  4
Curve Equation t Generators 40053d1 [1,1,1,1264,1802] 1 [18:-185:1]
40053e (1 curve)	2	3+ 13+ 79-	0 3+ -2 -3  0 13+ -6  4
Curve Equation t Generators 40053e1 [0,-1,1,-1239,35219] 1 [-43:84:1]&[-6:1517:8]
40053f (2 curves)	1	3- 13+ 79-	-1 3- -2  2  0 13+  2  4
Curve Equation t Generators 40053f1 [1,0,0,1771,22944] 2 [-11:52:1] 40053f2 [1,0,0,-9214,205295] 2 [-103:305:1]
40053g (2 curves)	1	3- 13- 79+	1 3- -2  4  4 13- -2  2
Curve Equation t Generators 40053g1 [1,0,1,-98362,11863295] 2 [30333:-995992:27] 40053g2 [1,0,1,-109347,9046741] 2 [4433:292137:1]
40053h (2 curves)	1	3- 13- 79+	-1 3-  2 -4 -4 13- -2 -2
Curve Equation t Generators 40053h1 [1,0,0,-582,5355] 2 [15:0:1] 40053h2 [1,0,0,-647,4068] 2 [1:58:1]

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

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