Cremona's table of elliptic curves

645 = 3 · 5 · 43

Class	r	Atkin-Lehner	Eigenvalues
645a (4 curves)	0	3+ 5+ 43-	1 3+ 5+  0  4  6 -2  0
Curve Equation t 645a1 [1,1,0,2,7] 2 645a2 [1,1,0,-43,88] 4 645a3 [1,1,0,-118,-407] 2 645a4 [1,1,0,-688,6667] 2
645b (2 curves)	0	3+ 5- 43+	1 3+ 5-  4 -2  2  0  6
Curve Equation t 645b1 [1,1,0,-22,31] 2 645b2 [1,1,0,3,126] 2
645c (1 curve)	0	3+ 5- 43+	2 3+ 5-  0  5  1  5  4
Curve Equation t 645c1 [0,-1,1,-16780,855303] 1
645d (1 curve)	0	3+ 5- 43+	-2 3+ 5-  4  1  5 -3  0
Curve Equation t 645d1 [0,-1,1,-18000,-923542] 1
645e (1 curve)	1	3- 5- 43+	0 3- 5- -2 -5 -5  5 -6
Curve Equation t Generators 645e1 [0,1,1,1815,141239] 1 [51:-608:1]
645f (1 curve)	1	3- 5- 43+	-2 3- 5- -4 -3  5 -7  0
Curve Equation t Generators 645f1 [0,1,1,10,44] 1 [1:7:1]

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

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