Cremona's table of elliptic curves

494 = 2 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
494a (1 curve)	1	2+ 13+ 19+	2+ -1  1 -1  0 13+ -3 19+
Curve Equation t Generators 494a1 [1,1,0,13,13] 1 [3:8:1]
494b (4 curves)	0	2+ 13+ 19-	2+  0  2  4  4 13+  2 19-
Curve Equation t 494b1 [1,-1,0,4,0] 2 494b2 [1,-1,0,-16,12] 4 494b3 [1,-1,0,-146,-638] 2 494b4 [1,-1,0,-206,1190] 2
494c (1 curve)	0	2+ 13+ 19-	2+  3 -3  3  0 13+  5 19-
Curve Equation t 494c1 [1,-1,0,-61,-169] 1
494d (1 curve)	1	2- 13- 19+	2- -1 -1 -3 -4 13- -3 19+
Curve Equation t Generators 494d1 [1,1,1,-1001,12375] 1 [45:224:1]

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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