Cremona's table of elliptic curves

670 = 2 · 5 · 67

Class	r	Atkin-Lehner	Eigenvalues
670a (1 curve)	1	2+ 5- 67-	2+  0 5-  1 -5 -2 -6  2
Curve Equation t Generators 670a1 [1,-1,0,-524,-8920] 1 [31:47:1]
670b (2 curves)	1	2+ 5- 67-	2+ -2 5- -1  3 -4  0  2
Curve Equation t Generators 670b1 [1,0,1,2,6] 3 [2:3:1] 670b2 [1,0,1,-23,-174] 1 [22:89:1]
670c (1 curve)	1	2- 5+ 67-	2-  0 5+ -5 -3  6 -6 -2
Curve Equation t Generators 670c1 [1,-1,1,-13,21] 1 [3:-4:1]
670d (1 curve)	1	2- 5+ 67-	2- -2 5+  1 -3 -4  4 -2
Curve Equation t Generators 670d1 [1,0,0,44,-624] 1 [8:12:1]

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

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