Cremona's table of elliptic curves

657 = 3² · 73

Class	r	Atkin-Lehner	Eigenvalues
657a (2 curves)	0	3- 73+	-1 3-  4  2  4 -2  0 -4
Curve Equation t 657a1 [1,-1,1,-743,7494] 2 657a2 [1,-1,1,-11678,488634] 2
657b (1 curve)	0	3- 73+	2 3-  1  2  4 -2  3 -1
Curve Equation t 657b1 [0,0,1,-57,-167] 1
657c (2 curves)	1	3- 73-	0 3-  3 -4  0 -4 -3 -1
Curve Equation t Generators 657c1 [0,0,1,24,-36] 1 [2:4:1] 657c2 [0,0,1,-246,2043] 3 [-7:58:1]
657d (2 curves)	1	3- 73-	-1 3- -2  2  2 -6 -2  8
Curve Equation t Generators 657d1 [1,-1,1,-11,10] 2 [-2:5:1] 657d2 [1,-1,1,34,46] 2 [1:8:1]

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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