Cremona's table of elliptic curves

705 = 3 · 5 · 47

Class	r	Atkin-Lehner	Eigenvalues
705a (1 curve)	1	3+ 5+ 47+	0 3+ 5+  2  2  1 -2 -6
Curve Equation t Generators 705a1 [0,-1,1,-5781,175862] 1 [120:1093:1]
705b (1 curve)	1	3+ 5- 47-	-1 3+ 5- -5  6  3 -3 -1
Curve Equation t Generators 705b1 [1,1,1,-120,42282] 1 [312:-5679:1]
705c (2 curves)	0	3- 5+ 47+	0 3- 5+  2 -6  5  6  2
Curve Equation t 705c1 [0,1,1,9,20] 3 705c2 [0,1,1,-81,-619] 1
705d (1 curve)	1	3- 5+ 47-	1 3- 5+ -3 -2 -1  3 -3
Curve Equation t Generators 705d1 [1,0,1,6,1] 1 [1:2:1]
705e (1 curve)	1	3- 5+ 47-	-1 3- 5+  1 -2 -7  1 -1
Curve Equation t Generators 705e1 [1,0,0,-36,81] 1 [3:-3:1]
705f (4 curves)	0	3- 5- 47-	1 3- 5-  0  4  2  6  0
Curve Equation t 705f1 [1,0,1,-368,2681] 2 705f2 [1,0,1,-373,2603] 4 705f3 [1,0,1,-1078,-10369] 2 705f4 [1,0,1,252,10603] 4

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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