Cremona's table of elliptic curves

747 = 3² · 83

Class	r	Atkin-Lehner	Eigenvalues
747a (2 curves)	1	3+ 83+	-1 3+ -2  0  0  6 -4  2
Curve Equation t Generators 747a1 [1,-1,1,-56,-134] 2 [-4:5:1] 747a2 [1,-1,1,-191,892] 2 [-10:46:1]
747b (2 curves)	0	3+ 83-	1 3+  2  0  0  6  4  2
Curve Equation t 747b1 [1,-1,0,-6,7] 2 747b2 [1,-1,0,-21,-26] 2
747c (1 curve)	1	3- 83-	1 3- -1  0  3 -6  4 -7
Curve Equation t Generators 747c1 [1,-1,0,-495,-4118] 1 [26:-4:1]
747d (1 curve)	1	3- 83-	1 3-  2 -3 -3 -6 -5  2
Curve Equation t Generators 747d1 [1,-1,0,9,4] 1 [0:2:1]
747e (1 curve)	1	3- 83-	-1 3-  1 -4  3  2 -4 -1
Curve Equation t Generators 747e1 [1,-1,1,13,-12] 1 [2:3:1]

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

Part of Computational Number Theory
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