Cremona's table of elliptic curves

16048 = 2⁴ · 17 · 59

Class	r	Atkin-Lehner	Eigenvalues
16048a (2 curves)	1	2+ 17+ 59+	2+  0 -2 -4 -2  2 17+  4
Curve Equation t Generators 16048a1 [0,0,0,14,15] 2 [15:60:1] 16048a2 [0,0,0,-71,134] 2 [1:8:1]
16048b (1 curve)	1	2+ 17+ 59+	2+  1 -3  3  4  0 17+ -1
Curve Equation t Generators 16048b1 [0,1,0,-252,6044] 1 [10:68:1]
16048c (1 curve)	1	2+ 17+ 59+	2+ -2  2  2 -3 -2 17+  3
Curve Equation t Generators 16048c1 [0,1,0,-577,5163] 1 [14:5:1]
16048d (2 curves)	1	2+ 17+ 59+	2+ -2 -2 -2  0  2 17+  4
Curve Equation t Generators 16048d1 [0,1,0,-84,-260] 2 [-6:8:1] 16048d2 [0,1,0,-1264,-17724] 2 [47:170:1]
16048e (2 curves)	0	2+ 17+ 59-	2+  0  2  0 -2 -6 17+  4
Curve Equation t 16048e1 [0,0,0,-1559,23478] 2 16048e2 [0,0,0,-379,58170] 2
16048f (1 curve)	2	2+ 17+ 59-	2+  1 -3 -3 -2  6 17+ -7
Curve Equation t Generators 16048f1 [0,1,0,6488,16516] 1 [6:236:1]&[162:2312:1]
16048g (1 curve)	0	2+ 17+ 59-	2+  3  1  1  0  4 17+  1
Curve Equation t 16048g1 [0,0,0,-22,47] 1
16048h (1 curve)	0	2+ 17+ 59-	2+ -3  1  1  6 -2 17+  1
Curve Equation t 16048h1 [0,0,0,-116827,-15401318] 1
16048i (1 curve)	0	2+ 17- 59+	2+  1  3 -1  4  6 17-  1
Curve Equation t 16048i1 [0,1,0,-324,-2932] 1
16048j (1 curve)	0	2+ 17- 59+	2+  1 -3 -1  4  0 17-  7
Curve Equation t 16048j1 [0,1,0,-19007,1006076] 1
16048k (1 curve)	0	2+ 17- 59+	2+ -1  1  1 -4  2 17-  5
Curve Equation t 16048k1 [0,-1,0,-55,-142] 1
16048l (2 curves)	2	2+ 17- 59+	2+ -2 -4 -4  0 -2 17-  0
Curve Equation t Generators 16048l1 [0,1,0,-1480,20484] 2 [-32:190:1]&[-18:204:1] 16048l2 [0,1,0,880,81844] 2 [-33:134:1]&[-20:238:1]
16048m (1 curve)	1	2+ 17- 59-	2+  1 -1  1  6 -4 17- -5
Curve Equation t Generators 16048m1 [0,1,0,64,68] 1 [8:34:1]
16048n (1 curve)	1	2+ 17- 59-	2+  1  2  4 -6  5 17- -8
Curve Equation t Generators 16048n1 [0,1,0,-17272,900340] 1 [-30:1180:1]
16048o (1 curve)	1	2+ 17- 59-	2+ -3 -1 -3 -2  0 17-  7
Curve Equation t Generators 16048o1 [0,0,0,-363403,84320074] 1 [347:-34:1]
16048p (1 curve)	2	2- 17+ 59+	2-  1 -3 -1 -2 -2 17+ -1
Curve Equation t Generators 16048p1 [0,1,0,3,26] 1 [-2:4:1]&[10:34:1]
16048q (2 curves)	1	2- 17+ 59-	2-  0  0 -2 -4 -2 17+  4
Curve Equation t Generators 16048q1 [0,0,0,-19715,1065474] 2 [225:2832:1] 16048q2 [0,0,0,-19555,1083618] 2 [-103:1416:1]
16048r (1 curve)	1	2- 17+ 59-	2-  1  1  1  2  2 17+ -7
Curve Equation t Generators 16048r1 [0,1,0,-258527440,1599870000532] 1 [86064762:16252928:9261]
16048s (1 curve)	1	2- 17+ 59-	2-  1  1  1  2  2 17+ -7
Curve Equation t Generators 16048s1 [0,1,0,16040,3416596] 1 [-31770:1183744:729]
16048t (2 curves)	1	2- 17+ 59-	2- -2 -2 -2 -4  2 17+ -4
Curve Equation t Generators 16048t1 [0,1,0,-493424,-132850220] 2 [-412:822:1] 16048t2 [0,1,0,-795504,48760276] 2 [79500:4116302:27]
16048u (1 curve)	1	2- 17+ 59-	2- -2 -2 -2  5  2 17+  5
Curve Equation t Generators 16048u1 [0,1,0,11,-93] 1 [6:15:1]
16048v (1 curve)	1	2- 17+ 59-	2-  3 -3  1  2 -2 17+  1
Curve Equation t Generators 16048v1 [0,0,0,-184,-961] 1 [5766:24769:216]
16048w (1 curve)	1	2- 17- 59+	2-  0 -2  2  3  4 17-  1
Curve Equation t Generators 16048w1 [0,0,0,-656,-8656] 1 [374279:201335:12167]
16048x (2 curves)	0	2- 17- 59-	2-  0  0 -2  6 -2 17-  4
Curve Equation t 16048x1 [0,0,0,-635,-5974] 2 16048x2 [0,0,0,-10075,-389238] 2
16048y (1 curve)	0	2- 17- 59-	2-  1 -1  5  2 -4 17-  7
Curve Equation t 16048y1 [0,1,0,-1416,-21004] 1
16048z (1 curve)	0	2- 17- 59-	2-  1  2 -4  2 -7 17- -8
Curve Equation t 16048z1 [0,1,0,-932698472,10963461511220] 1
16048ba (1 curve)	2	2- 17- 59-	2-  1 -3 -1 -4 -2 17- -1
Curve Equation t Generators 16048ba1 [0,1,0,-192,1844] 1 [4:34:1]&[10:32:1]
16048bb (1 curve)	2	2- 17- 59-	2- -1  1 -3 -4  0 17- -7
Curve Equation t Generators 16048bb1 [0,-1,0,-120,688] 1 [-12:16:1]&[-6:34:1]
16048bc (2 curves)	2	2- 17- 59-	2- -1 -3  1  0 -4 17-  1
Curve Equation t Generators 16048bc1 [0,-1,0,488,464624] 1 [-52:544:1]&[50:782:1] 16048bc2 [0,-1,0,-438792,112032496] 1 [84:8704:1]&[322:2006:1]
16048bd (1 curve)	0	2- 17- 59-	2-  3 -1  5  2  4 17-  3
Curve Equation t 16048bd1 [0,0,0,-28,431] 1
16048be (1 curve)	0	2- 17- 59-	2-  3 -3  1  0  4 17-  1
Curve Equation t 16048be1 [0,0,0,2981,81674] 1
16048bf (1 curve)	2	2- 17- 59-	2- -3  1 -1  0 -2 17- -5
Curve Equation t Generators 16048bf1 [0,0,0,1013,20218] 1 [53:-472:1]&[29:272:1]
16048bg (1 curve)	0	2- 17- 59-	2- -3  2 -4  2  1 17-  0
Curve Equation t 16048bg1 [0,0,0,-499,-4430] 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
Back to Tables and computations