Cremona's table of elliptic curves

816 = 2⁴ · 3 · 17

Class	r	Atkin-Lehner	Eigenvalues
816a (2 curves)	1	2+ 3+ 17+	2+ 3+  0 -2  0  2 17+ -4
Curve Equation t Generators 816a1 [0,-1,0,-48,144] 2 [0:12:1] 816a2 [0,-1,0,-8,336] 2 [2:18:1]
816b (4 curves)	0	2+ 3+ 17-	2+ 3+  2  4 -4  6 17- -4
Curve Equation t 816b1 [0,-1,0,-52,-128] 2 816b2 [0,-1,0,-72,0] 4 816b3 [0,-1,0,-752,8160] 2 816b4 [0,-1,0,288,-288] 4
816c (1 curve)	0	2+ 3+ 17-	2+ 3+ -3  4 -1 -5 17-  7
Curve Equation t 816c1 [0,-1,0,-17,-51] 1
816d (1 curve)	0	2+ 3- 17+	2+ 3-  3  0  1  3 17+ -1
Curve Equation t 816d1 [0,1,0,511,1899] 1
816e (4 curves)	0	2- 3+ 17+	2- 3+  0 -2  0  2 17+  4
Curve Equation t 816e1 [0,-1,0,-4088,-99216] 2 816e2 [0,-1,0,-3448,-131984] 2 816e3 [0,-1,0,-12008,386928] 2 816e4 [0,-1,0,28952,2418544] 2
816f (2 curves)	0	2- 3+ 17+	2- 3+  3  4  3 -1 17+  1
Curve Equation t 816f1 [0,-1,0,11,61] 1 816f2 [0,-1,0,-949,11581] 1
816g (1 curve)	1	2- 3+ 17-	2- 3+  1  0 -5 -5 17- -1
Curve Equation t Generators 816g1 [0,-1,0,-5,9] 1 [1:2:1]
816h (6 curves)	1	2- 3+ 17-	2- 3+ -2  0  4 -2 17- -4
Curve Equation t Generators 816h1 [0,-1,0,-544,-4352] 2 [-14:18:1] 816h2 [0,-1,0,-1824,25344] 4 [-16:224:1] 816h3 [0,-1,0,-27744,1787904] 8 [146:910:1] 816h4 [0,-1,0,3616,142848] 2 [18:462:1] 816h5 [0,-1,0,-443904,113984640] 4 [216:5304:1] 816h6 [0,-1,0,-26304,1980288] 4 [-174:1122:1]
816i (1 curve)	1	2- 3- 17+	2- 3- -1 -4 -3  3 17+ -1
Curve Equation t Generators 816i1 [0,1,0,-1621,24623] 1 [-1:162:1]
816j (2 curves)	1	2- 3- 17+	2- 3- -4  2  0 -6 17+ -4
Curve Equation t Generators 816j1 [0,1,0,-40,-76] 2 [-4:6:1] 816j2 [0,1,0,120,-396] 2 [6:24:1]

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

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