Cremona's table of elliptic curves

83369 = 11² · 13 · 53

Class	r	Atkin-Lehner	Eigenvalues
83369a (1 curve)	0	11- 13+ 53+	0 -3 -1  0 11- 13+  2  0
Curve Equation t 83369a1 [0,0,1,-446248,-114755160] 1
83369b (1 curve)	0	11- 13+ 53+	-2 -2 -2  1 11- 13+  4  2
Curve Equation t 83369b1 [0,1,1,-18935814,46786867122] 1
83369c (2 curves)	1	11- 13+ 53-	0  1  3 -2 11- 13+  0  4
Curve Equation t Generators 83369c1 [0,1,1,-47785239,-127270096541] 1 [4981832:293708731:512] 83369c2 [0,1,1,57580351,-573501867416] 1 [12743638224891960:1021389483537754613:1577098944000]
83369d (2 curves)	1	11- 13+ 53-	1  0  0  0 11- 13+ -6  0
Curve Equation t Generators 83369d1 [1,-1,0,-1777,50232] 2 [13844:192941:64] 83369d2 [1,-1,0,-33842,2403803] 2 [-118:2237:1]
83369e (1 curve)	1	11- 13- 53+	0 -3 -3  4 11- 13-  2 -2
Curve Equation t Generators 83369e1 [0,0,1,93896,-13816113] 1 [187:3206:1]
83369f (2 curves)	1	11- 13- 53+	1 -2 -2 -2 11- 13-  2 -4
Curve Equation t Generators 83369f1 [1,0,1,-1697,-26985] 2 [1407:3703:27] 83369f2 [1,0,1,-1092,-46345] 2 [165:1984:1]

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

Part of Computational Number Theory
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