Cremona's table of elliptic curves

777 = 3 · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
777a (4 curves)	0	3+ 7+ 37-	1 3+ -2 7+  4  2  2  4
Curve Equation t 777a1 [1,1,0,-16,19] 2 777a2 [1,1,0,-21,0] 4 777a3 [1,1,0,-206,-1221] 2 777a4 [1,1,0,84,105] 4
777b (1 curve)	0	3+ 7+ 37-	-2 3+  1 7+  1 -1  2  4
Curve Equation t 777b1 [0,-1,1,-2531950,1551713040] 1
777c (1 curve)	0	3+ 7- 37+	0 3+  3 7- -1 -1 -2  4
Curve Equation t 777c1 [0,-1,1,-169,-792] 1
777d (4 curves)	1	3+ 7- 37-	-1 3+ -2 7-  0  2 -6  4
Curve Equation t Generators 777d1 [1,1,1,-14,26] 4 [4:5:1] 777d2 [1,1,1,-259,1496] 4 [2:30:1] 777d3 [1,1,1,-294,1020] 2 [-10:60:1] 777d4 [1,1,1,-4144,100952] 2 [39:4:1]
777e (4 curves)	1	3- 7+ 37-	1 3- -2 7+  0 -2  2 -4
Curve Equation t Generators 777e1 [1,0,1,-1312,-18391] 2 [43:50:1] 777e2 [1,0,1,-1317,-18245] 4 [89:711:1] 777e3 [1,0,1,-2612,23195] 4 [9:16:1] 777e4 [1,0,1,-102,-50321] 2 [47:198:1]
777f (1 curve)	1	3- 7+ 37-	-2 3-  1 7+ -3 -5  2 -4
Curve Equation t Generators 777f1 [0,1,1,0,2] 1 [0:1:1]
777g (1 curve)	1	3- 7- 37+	0 3- -1 7- -1 -5 -2 -4
Curve Equation t Generators 777g1 [0,1,1,9,344] 1 [-6:10:1]

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

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