Cremona's table of elliptic curves

13585 = 5 · 11 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
13585a (2 curves)	1	5+ 11+ 13+ 19+	1  0 5+  2 11+ 13+  0 19+
Curve Equation t Generators 13585a1 [1,-1,0,-1550,-23089] 2 [4372:25439:64] 13585a2 [1,-1,0,-1225,-33294] 2 [21253332:126176559:314432]
13585b (2 curves)	1	5+ 11+ 13+ 19+	1  0 5+ -4 11+ 13+  0 19+
Curve Equation t Generators 13585b1 [1,-1,0,95,16536] 2 [358:2461:8] 13585b2 [1,-1,0,-9200,334425] 2 [80:285:1]
13585c (1 curve)	1	5+ 11+ 13+ 19+	-1 -1 5+  1 11+ 13+  4 19+
Curve Equation t Generators 13585c1 [1,1,1,-1,18] 1 [2:4:1]
13585d (1 curve)	1	5+ 11+ 13+ 19+	-2  0 5+ -1 11+ 13+  0 19+
Curve Equation t Generators 13585d1 [0,0,1,-79403,6988254] 1 [99:312:1]
13585e (2 curves)	0	5+ 11+ 13+ 19-	1  2 5+ -4 11+ 13+ -2 19-
Curve Equation t 13585e1 [1,1,0,-418,-2337] 2 13585e2 [1,1,0,1207,-14362] 2
13585f (2 curves)	1	5+ 11+ 13- 19-	-1  2 5+  2 11+ 13-  0 19-
Curve Equation t Generators 13585f1 [1,1,1,-286,-1886] 2 [-82:115:8] 13585f2 [1,1,1,-4511,-118496] 2 [5012:5613:64]
13585g (1 curve)	1	5+ 11- 13- 19+	-2 -2 5+  1 11- 13-  6 19+
Curve Equation t Generators 13585g1 [0,1,1,-286,-1180] 1 [-11:27:1]
13585h (1 curve)	1	5- 11+ 13+ 19-	2  2 5- -1 11+ 13+  2 19-
Curve Equation t Generators 13585h1 [0,-1,1,-22140,-1259657] 1 [-42872:5159:512]
13585i (1 curve)	1	5- 11+ 13- 19+	-1  1 5-  3 11+ 13-  0 19+
Curve Equation t Generators 13585i1 [1,0,0,-37765,-2855108] 1 [249:1663:1]

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

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