Cremona's table of elliptic curves

5856 = 2⁵ · 3 · 61

Class	r	Atkin-Lehner	Eigenvalues
5856a (2 curves)	1	2+ 3+ 61+	2+ 3+  2 -2  4  2  4 -8
Curve Equation t Generators 5856a1 [0,-1,0,-82,-260] 2 [22:90:1] 5856a2 [0,-1,0,-97,-143] 2 [-7:12:1]
5856b (1 curve)	0	2+ 3+ 61-	2+ 3+  3  2  2 -4  3  8
Curve Equation t 5856b1 [0,-1,0,-24,72] 1
5856c (1 curve)	0	2+ 3+ 61-	2+ 3+ -3 -1  5  5  6  2
Curve Equation t 5856c1 [0,-1,0,-26177,-1621551] 1
5856d (1 curve)	2	2+ 3+ 61-	2+ 3+ -3 -3 -1 -3 -2  6
Curve Equation t Generators 5856d1 [0,-1,0,63,81] 1 [0:9:1]&[1:12:1]
5856e (2 curves)	0	2+ 3- 61+	2+ 3-  2  2 -4  2  4  8
Curve Equation t 5856e1 [0,1,0,-82,260] 2 5856e2 [0,1,0,-97,143] 2
5856f (1 curve)	1	2+ 3- 61-	2+ 3-  3 -2 -2 -4  3 -8
Curve Equation t Generators 5856f1 [0,1,0,-24,-72] 1 [6:6:1]
5856g (1 curve)	1	2+ 3- 61-	2+ 3- -3  1 -5  5  6 -2
Curve Equation t Generators 5856g1 [0,1,0,-26177,1621551] 1 [91:-36:1]
5856h (1 curve)	1	2+ 3- 61-	2+ 3- -3  3  1 -3 -2 -6
Curve Equation t Generators 5856h1 [0,1,0,63,-81] 1 [3:12:1]

Data from Elliptic Curve Data by J. E. Cremona.
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