Cremona's table of elliptic curves

19176 = 2³ · 3 · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
19176a (2 curves)	0	2+ 3- 17+ 47+	2+ 3- -2  4  0 -4 17+  2
Curve Equation t 19176a1 [0,1,0,96,432] 2 19176a2 [0,1,0,-584,3696] 2
19176b (2 curves)	1	2+ 3- 17- 47+	2+ 3-  0  0  2 -2 17- -4
Curve Equation t Generators 19176b1 [0,1,0,-188,-1344] 2 [19:48:1] 19176b2 [0,1,0,-3248,-72336] 2 [223:3216:1]
19176c (2 curves)	0	2+ 3- 17- 47-	2+ 3-  4  4  2  2 17- -4
Curve Equation t 19176c1 [0,1,0,-396,2592] 2 19176c2 [0,1,0,544,13872] 2
19176d (2 curves)	0	2- 3+ 17- 47-	2- 3+  2  0 -6 -2 17-  2
Curve Equation t 19176d1 [0,-1,0,-5492,-156348] 2 19176d2 [0,-1,0,-88112,-10037700] 2
19176e (4 curves)	2	2- 3+ 17- 47-	2- 3+ -2  0  0 -2 17- -8
Curve Equation t Generators 19176e1 [0,-1,0,-799,-8432] 2 [33:7:1]&[48:248:1] 19176e2 [0,-1,0,-804,-8316] 4 [-16:14:1]&[-15:12:1] 19176e3 [0,-1,0,-1824,18204] 4 [53:260:1]&[86:700:1] 19176e4 [0,-1,0,136,-27492] 2 [46:272:1]&[78:672:1]
19176f (2 curves)	0	2- 3- 17- 47+	2- 3-  0  0  0 -4 17-  4
Curve Equation t 19176f1 [0,1,0,-1208,-17280] 2 19176f2 [0,1,0,-19568,-1060128] 2
19176g (2 curves)	0	2- 3- 17- 47+	2- 3-  4  4  0  2 17-  6
Curve Equation t 19176g1 [0,1,0,24204,-1274688] 2 19176g2 [0,1,0,-131856,-11886768] 2

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

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