Cremona's table of elliptic curves

6627 = 3 · 47²

Class	r	Atkin-Lehner	Eigenvalues
6627a (1 curve)	0	3+ 47-	0 3+  1 -3  3  4  8  6
Curve Equation t 6627a1 [0,-1,1,-2945,17324] 1
6627b (1 curve)	0	3+ 47-	0 3+  4  0 -6 -5  2 -3
Curve Equation t 6627b1 [0,-1,1,-31,-66] 1
6627c (1 curve)	0	3+ 47-	0 3+ -4  0  6  5  2  3
Curve Equation t 6627c1 [0,-1,1,-69215,7929962] 1
6627d (2 curves)	0	3+ 47-	-1 3+  0  4  0 -6 -6 -2
Curve Equation t 6627d1 [1,1,1,-17718,1288362] 2 6627d2 [1,1,1,-315933,68207808] 2
6627e (1 curve)	1	3- 47-	0 3-  3  1 -3  6 -6 -6
Curve Equation t Generators 6627e1 [0,1,1,-219,-1321] 1 [-9:1:1]
6627f (1 curve)	1	3- 47-	0 3- -3  1  3 -6 -6  6
Curve Equation t Generators 6627f1 [0,1,1,-484507,129375955] 1 [2945:155734:1]
6627g (4 curves)	1	3- 47-	-1 3- -2  0 -4  2  2  0
Curve Equation t Generators 6627g1 [1,0,0,-4464,-329265] 4 [333489:3304491:2197] 6627g2 [1,0,0,-103869,-12874176] 4 [213664601280:2892190912896:451217663] 6627g3 [1,0,0,-1661214,-824250921] 2 [141951318199646283675022:-7854705793801184251183511:40084344843746417864] 6627g4 [1,0,0,-137004,-3974115] 2 [-8079834:234465125:74088]
6627h (1 curve)	1	3- 47-	2 3-  1 -3 -1  2  2 -6
Curve Equation t Generators 6627h1 [0,1,1,-58170,5380367] 1 [970:2819:8]
6627i (1 curve)	1	3- 47-	-2 3-  3 -3  5 -2 -6  6
Curve Equation t Generators 6627i1 [0,1,1,-27244,-665666] 1 [971:29821:1]

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

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