Cremona's table of elliptic curves

28768 = 2⁵ · 29 · 31

Class	r	Atkin-Lehner	Eigenvalues
28768a (4 curves)	0	2+ 29+ 31-	2+  0 -2  4  0  2 -2 -4
Curve Equation t 28768a1 [0,0,0,-301,1980] 4 28768a2 [0,0,0,-11,5634] 2 28768a3 [0,0,0,-611,-2794] 2 28768a4 [0,0,0,-4796,127840] 2
28768b (1 curve)	2	2+ 29- 31+	2+  0 -3 -4  0 -2  5 -7
Curve Equation t Generators 28768b1 [0,0,0,-44,64] 1 [-3:13:1]&[-2:12:1]
28768c (1 curve)	1	2+ 29- 31-	2+  0 -3  4  0 -2  5  7
Curve Equation t Generators 28768c1 [0,0,0,-44,-64] 1 [-2:4:1]
28768d (1 curve)	1	2+ 29- 31-	2+ -2  1  2  0  6 -5 -3
Curve Equation t Generators 28768d1 [0,1,0,-4145,101311] 1 [34:29:1]
28768e (1 curve)	1	2+ 29- 31-	2+ -2  1  2  4  2 -1 -7
Curve Equation t Generators 28768e1 [0,1,0,-166545,-26071073] 1 [-239:372:1]
28768f (4 curves)	0	2- 29+ 31+	2-  0 -2 -4  0  2 -2  4
Curve Equation t 28768f1 [0,0,0,-301,-1980] 4 28768f2 [0,0,0,-11,-5634] 2 28768f3 [0,0,0,-611,2794] 2 28768f4 [0,0,0,-4796,-127840] 2
28768g (1 curve)	1	2- 29- 31+	2-  2  1 -2  0  6 -5  3
Curve Equation t Generators 28768g1 [0,-1,0,-4145,-101311] 1 [-1005:116:27]
28768h (1 curve)	1	2- 29- 31+	2-  2  1 -2 -4  2 -1  7
Curve Equation t Generators 28768h1 [0,-1,0,-166545,26071073] 1 [329:2604:1]

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

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