Cremona's table of elliptic curves

45167 = 31² · 47

Class	r	Atkin-Lehner	Eigenvalues
45167a (1 curve)	1	31+ 47+	-1 -3 -3  1 -3 -3  7 -5
Curve Equation t Generators 45167a1 [1,-1,1,-873249,314302032] 1 [-240:22703:1]
45167b (1 curve)	2	31+ 47-	-1 -1 -3 -1 -5 -3 -1  5
Curve Equation t Generators 45167b1 [1,1,1,-1942,-33678] 1 [90:-774:1]&[-25:16:1]
45167c (4 curves)	0	31- 47+	-1  0 -2  0 -4  6 -2 -4
Curve Equation t 45167c1 [1,-1,1,-29491,1955890] 4 45167c2 [1,-1,1,-34296,1279346] 4 45167c3 [1,-1,1,114659,9322916] 2 45167c4 [1,-1,1,-260131,-50120700] 2
45167d (1 curve)	0	31- 47+	-1  3 -3  1  3  3 -7 -5
Curve Equation t 45167d1 [1,-1,1,-909,-10316] 1
45167e (1 curve)	1	31- 47-	-1  1 -3 -1  5  3  1  5
Curve Equation t Generators 45167e1 [1,0,0,-1866282,979034339] 1 [30351:453955:27]

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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