Cremona's table of elliptic curves

42408 = 2³ · 3² · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
42408a (2 curves)	0	2+ 3+ 19- 31+	2+ 3+  0  0 -4 -2 -2 19-
Curve Equation t 42408a1 [0,0,0,-264870,-54648783] 2 42408a2 [0,0,0,-4286655,-3416056686] 2
42408b (1 curve)	0	2+ 3- 19+ 31+	2+ 3-  0 -1  2 -5 -7 19+
Curve Equation t 42408b1 [0,0,0,35565,3902222] 1
42408c (1 curve)	0	2+ 3- 19+ 31+	2+ 3-  1 -3 -5  4  3 19+
Curve Equation t 42408c1 [0,0,0,1794228,-1292855852] 1
42408d (2 curves)	0	2+ 3- 19+ 31+	2+ 3- -2  0 -2 -2  0 19+
Curve Equation t 42408d1 [0,0,0,-637806,196056385] 2 42408d2 [0,0,0,-636591,196840546] 2
42408e (1 curve)	2	2+ 3- 19+ 31+	2+ 3- -3  1 -3  2 -3 19+
Curve Equation t Generators 42408e1 [0,0,0,-1044,13284] 1 [72:558:1]&[-18:162:1]
42408f (4 curves)	1	2+ 3- 19+ 31-	2+ 3-  2  0 -4  2  2 19+
Curve Equation t Generators 42408f1 [0,0,0,-1794,29225] 2 [13:90:1] 42408f2 [0,0,0,-2199,15050] 4 [2743:143640:1] 42408f3 [0,0,0,8061,115598] 4 [21938:1149435:8] 42408f4 [0,0,0,-18939,-992698] 2 [-232834:159795:2744]
42408g (2 curves)	0	2+ 3- 19- 31-	2+ 3- -2  0  6  6  0 19-
Curve Equation t 42408g1 [0,0,0,4794,-64519] 2 42408g2 [0,0,0,-21711,-546910] 2
42408h (2 curves)	1	2- 3+ 19- 31+	2- 3+  0  0  4 -2  2 19-
Curve Equation t Generators 42408h1 [0,0,0,-29430,2024029] 2 [90:323:1] 42408h2 [0,0,0,-476295,126520618] 2 [417:-646:1]
42408i (2 curves)	0	2- 3- 19- 31+	2- 3- -2  4  6  4  2 19-
Curve Equation t 42408i1 [0,0,0,609,3170] 2 42408i2 [0,0,0,-2811,27110] 2

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

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