Cremona's table of elliptic curves

470 = 2 · 5 · 47

Class	r	Atkin-Lehner	Eigenvalues
470a (1 curve)	1	2+ 5+ 47+	2+  1 5+ -1 -3 -5  2 -7
Curve Equation t Generators 470a1 [1,0,1,-44,106] 1 [1:7:1]
470b (2 curves)	0	2+ 5- 47+	2+  1 5- -1  3  5  6 -1
Curve Equation t 470b1 [1,0,1,-5773,168328] 3 470b2 [1,0,1,-6348,132618] 1
470c (1 curve)	1	2+ 5- 47-	2+ -1 5- -1  1 -5  0  5
Curve Equation t Generators 470c1 [1,1,0,-97,281] 1 [-8:29:1]
470d (2 curves)	0	2- 5+ 47+	2-  1 5+  5 -3  5  0 -7
Curve Equation t 470d1 [1,0,0,-36,80] 3 470d2 [1,0,0,-176,-844] 1
470e (1 curve)	1	2- 5+ 47-	2- -1 5+ -3 -5 -1  2 -1
Curve Equation t Generators 470e1 [1,1,1,-11,9] 1 [1:0:1]
470f (1 curve)	1	2- 5- 47+	2- -3 5- -3 -1 -1 -8 -5
Curve Equation t Generators 470f1 [1,-1,1,-117,141] 1 [-9:24:1]

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

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