Cremona's table of elliptic curves

16562 = 2 · 7² · 13²

Class	r	Atkin-Lehner	Eigenvalues
16562a (1 curve)	1	2+ 7+ 13+	2+  1  1 7+  5 13+ -2 -1
Curve Equation t Generators 16562a1 [1,0,1,-173,340] 1 [1:12:1]
16562b (2 curves)	1	2+ 7+ 13+	2+  1 -3 7+ -3 13+  6 -1
Curve Equation t Generators 16562b1 [1,0,1,-1051860,414298770] 3 [537:1823:1] 16562b2 [1,0,1,-4819715,-3706227458] 1 [-1025:13056:1]
16562c (1 curve)	0	2+ 7+ 13-	2+  2  4 7+ -1 13- -1 -1
Curve Equation t 16562c1 [1,1,0,-298288,66942660] 1
16562d (2 curves)	2	2+ 7- 13+	2+  0 -1 7- -4 13+ -3  0
Curve Equation t Generators 16562d1 [1,-1,0,40,-428] 1 [6:-2:1]&[9:20:1] 16562d2 [1,-1,0,-19070,1018772] 1 [76:26:1]&[79:-15:1]
16562e (4 curves)	0	2+ 7- 13+	2+  0  2 7- -4 13+  6  0
Curve Equation t 16562e1 [1,-1,0,7173934,-5021965740] 2 16562e2 [1,-1,0,-35224786,-44172943788] 4 16562e3 [1,-1,0,-489686066,-4169317982348] 2 16562e4 [1,-1,0,-259143026,1574800715060] 2
16562f (1 curve)	0	2+ 7- 13+	2+  1  1 7- -2 13+ -2 -8
Curve Equation t 16562f1 [1,0,1,-6088,603670] 1
16562g (1 curve)	0	2+ 7- 13+	2+  1  2 7-  5 13+ -8  8
Curve Equation t 16562g1 [1,0,1,-342060,76973418] 1
16562h (3 curves)	0	2+ 7- 13+	2+ -1  0 7-  3 13+  0  2
Curve Equation t 16562h1 [1,1,0,57795,5737789] 1 16562h2 [1,1,0,-1598405,782230597] 1 16562h3 [1,1,0,-129705475,568518100571] 1
16562i (1 curve)	0	2+ 7- 13+	2+ -1 -1 7- -2 13+  2  8
Curve Equation t 16562i1 [1,1,0,-298288,-207357184] 1
16562j (1 curve)	0	2+ 7- 13+	2+ -1 -1 7-  5 13+  2  1
Curve Equation t 16562j1 [1,1,0,-8453,-125159] 1
16562k (1 curve)	0	2+ 7- 13+	2+ -1 -2 7-  5 13+  8 -8
Curve Equation t 16562k1 [1,1,0,-16760916,-26418643376] 1
16562l (2 curves)	0	2+ 7- 13+	2+ -1  3 7- -3 13+ -6  1
Curve Equation t 16562l1 [1,1,0,-21466,-1217068] 1 16562l2 [1,1,0,-98361,10763173] 1
16562m (2 curves)	0	2+ 7- 13+	2+ -1 -3 7-  0 13+ -6  4
Curve Equation t 16562m1 [1,1,0,24671,951371] 1 16562m2 [1,1,0,-513594,143591596] 1
16562n (1 curve)	0	2+ 7- 13+	2+  2 -1 7-  2 13+ -1  4
Curve Equation t 16562n1 [1,1,0,239977,-95290411] 1
16562o (2 curves)	0	2+ 7- 13+	2+  2 -2 7- -4 13+ -4 -2
Curve Equation t 16562o1 [1,1,0,49514,69725076] 2 16562o2 [1,1,0,-2269166,1274974940] 2
16562p (2 curves)	0	2+ 7- 13+	2+  2  3 7- -6 13+  3  4
Curve Equation t 16562p1 [1,1,0,-33296,-2352748] 1 16562p2 [1,1,0,8109,-7644307] 1
16562q (2 curves)	0	2+ 7- 13+	2+ -2  2 7- -4 13+  4  2
Curve Equation t 16562q1 [1,0,1,1010,-203136] 2 16562q2 [1,0,1,-46310,-3723744] 2
16562r (2 curves)	0	2+ 7- 13+	2+  3 -1 7-  2 13+  3  6
Curve Equation t 16562r1 [1,-1,0,-22255,-1949011] 1 16562r2 [1,-1,0,-1761265,987547679] 1
16562s (1 curve)	0	2+ 7- 13+	2+ -3  3 7-  4 13+ -2  4
Curve Equation t 16562s1 [1,-1,0,-25883818,50700817012] 1
16562t (1 curve)	2	2+ 7- 13+	2+ -3 -4 7- -1 13+  0 -6
Curve Equation t Generators 16562t1 [1,-1,0,27431,2936779] 1 [366:-16745:8]&[247:4850:1]
16562u (2 curves)	1	2+ 7- 13-	2+  1  2 7-  5 13- -2  4
Curve Equation t Generators 16562u1 [1,0,1,-810,9258] 1 [18:15:1] 16562u2 [1,0,1,2375,-565316] 1 [746:20035:1]
16562v (2 curves)	1	2+ 7- 13-	2+  1 -3 7-  0 13-  3 -6
Curve Equation t Generators 16562v1 [1,0,1,24670,4571452] 1 [8464:774604:1] 16562v2 [1,0,1,-2666655,-1704312270] 1 [275402686845249690:-25069517524215514791:32281974956321]
16562w (1 curve)	1	2+ 7- 13-	2+ -2 -4 7- -1 13-  1  1
Curve Equation t Generators 16562w1 [1,0,1,-6088,-196038] 1 [183:2105:1]
16562x (1 curve)	1	2+ 7- 13-	2+  3 -4 7-  3 13-  6  2
Curve Equation t Generators 16562x1 [1,-1,0,-4568524,-6824209456] 1 [172661179773301518:-3647186548967174513:60393161264904]
16562y (1 curve)	1	2+ 7- 13-	2+ -3  4 7-  3 13- -6 -2
Curve Equation t Generators 16562y1 [1,-1,0,-93235,19922293] 1 [-211:5598:1]
16562z (1 curve)	0	2- 7+ 13+	2-  0  0 7+ -1 13+ -1 -5
Curve Equation t 16562z1 [1,-1,1,-18115,-14666557] 1
16562ba (1 curve)	0	2- 7+ 13+	2-  1 -1 7+ -5 13+ -2  1
Curve Equation t 16562ba1 [1,0,0,-29156,776684] 1
16562bb (2 curves)	0	2- 7+ 13+	2-  1  3 7+  3 13+  6  1
Curve Equation t 16562bb1 [1,0,0,-6224,188096] 1 16562bb2 [1,0,0,-28519,-1689143] 1
16562bc (1 curve)	1	2- 7+ 13-	2-  2 -4 7+  1 13- -1  1
Curve Equation t Generators 16562bc1 [1,1,1,-1765,29791] 1 [31:62:1]
16562bd (1 curve)	1	2- 7- 13+	2-  0  0 7- -1 13+  1  5
Curve Equation t Generators 16562bd1 [1,-1,1,-370,42865] 1 [-29:183:1]
16562be (2 curves)	1	2- 7- 13+	2-  0  1 7-  4 13+ -3  0
Curve Equation t Generators 16562be1 [1,-1,1,6728,-920097] 1 [4734:113563:8] 16562be2 [1,-1,1,-3222862,2228573533] 1 [-887:66691:1]
16562bf (1 curve)	1	2- 7- 13+	2-  1 -1 7-  2 13+ -2  8
Curve Equation t Generators 16562bf1 [1,0,0,-36,272] 1 [4:12:1]
16562bg (1 curve)	1	2- 7- 13+	2-  1  2 7- -1 13+  4 -4
Curve Equation t Generators 16562bg1 [1,0,0,-37437,-7396663] 1 [4708:320409:1]
16562bh (1 curve)	1	2- 7- 13+	2- -1  1 7-  2 13+  2 -8
Curve Equation t Generators 16562bh1 [1,1,1,-1765,-95061] 1 [69:308:1]
16562bi (1 curve)	1	2- 7- 13+	2- -1  1 7- -5 13+  2 -1
Curve Equation t Generators 16562bi1 [1,1,1,-1428645,-267831257] 1 [-1757344028927:15319660677850:1672446203]
16562bj (1 curve)	1	2- 7- 13+	2- -1 -2 7- -1 13+ -4  4
Curve Equation t Generators 16562bj1 [1,1,1,-764,21237] 1 [31:153:1]
16562bk (2 curves)	1	2- 7- 13+	2- -1  3 7-  0 13+ -6 -4
Curve Equation t Generators 16562bk1 [1,1,1,146,489] 1 [6:189:8] 16562bk2 [1,1,1,-3039,64189] 1 [-43:364:1]
16562bl (2 curves)	1	2- 7- 13+	2- -1 -3 7-  3 13+ -6 -1
Curve Equation t Generators 16562bl1 [1,1,1,-127,-603] 1 [-7:4:1] 16562bl2 [1,1,1,-582,4675] 1 [1:63:1]
16562bm (3 curves)	1	2- 7- 13+	2- -1 -3 7- -6 13+  3  2
Curve Equation t Generators 16562bm1 [1,1,1,3968,-156213] 1 [430:3499:8] 16562bm2 [1,1,1,-37437,5541115] 1 [-203:2298:1] 16562bm3 [1,1,1,-3805292,2855546637] 1 [1149:-1927:1]
16562bn (1 curve)	1	2- 7- 13+	2- -1  4 7-  1 13+ -4  2
Curve Equation t Generators 16562bn1 [1,1,1,-38163161,-90917884569] 1 [15175:1673112:1]
16562bo (6 curves)	1	2- 7- 13+	2-  2  0 7-  0 13+ -6  2
Curve Equation t Generators 16562bo1 [1,1,1,-4313,-222461] 2 [3738197:31180422:29791] 16562bo2 [1,1,1,-87123,-9927793] 2 [2417518876590:-43787338143731:4691010024] 16562bo3 [1,1,1,37092,4630205] 2 [1035:33439:1] 16562bo4 [1,1,1,-294148,50208829] 2 [797103:23080463:729] 16562bo5 [1,1,1,-1412083,647136433] 2 [643:2030:1] 16562bo6 [1,1,1,-22611443,41375346865] 2 [83:198702:1]
16562bp (1 curve)	1	2- 7- 13+	2-  2  1 7- -2 13+ -1 -4
Curve Equation t Generators 16562bp1 [1,1,1,1420,-42827] 1 [41:273:1]
16562bq (2 curves)	1	2- 7- 13+	2-  2 -3 7-  6 13+  3 -4
Curve Equation t Generators 16562bq1 [1,1,1,-5627112,-5140851955] 1 [245783664836766229315007320020:51204183653628079543999418564669:5619173228948315431048256] 16562bq2 [1,1,1,1370333,-16801394303] 1 [9533977249:611225202182:2048383]
16562br (1 curve)	1	2- 7- 13+	2- -3  0 7-  5 13+  4  2
Curve Equation t Generators 16562br1 [1,-1,1,-183735,-661942641] 1 [1193:27964:1]
16562bs (1 curve)	1	2- 7- 13+	2- -3 -3 7- -4 13+ -2 -4
Curve Equation t Generators 16562bs1 [1,-1,1,-153159,23112639] 1 [219:86:1]
16562bt (2 curves)	0	2- 7- 13-	2-  1 -2 7- -5 13- -2 -4
Curve Equation t 16562bt1 [1,0,0,-136809,20477183] 1 16562bt2 [1,0,0,401456,-1242400160] 1
16562bu (2 curves)	0	2- 7- 13-	2-  1  3 7-  0 13-  3  6
Curve Equation t 16562bu1 [1,0,0,146,2092] 1 16562bu2 [1,0,0,-15779,-776959] 1
16562bv (1 curve)	0	2- 7- 13-	2- -2  4 7-  1 13-  1 -1
Curve Equation t 16562bv1 [1,0,0,-36,-92] 1
16562bw (1 curve)	0	2- 7- 13-	2-  3  4 7- -3 13-  6 -2
Curve Equation t 16562bw1 [1,-1,1,-27033,-3099911] 1
16562bx (1 curve)	2	2- 7- 13-	2- -3 -4 7- -3 13- -6  2
Curve Equation t Generators 16562bx1 [1,-1,1,-552,9195] 1 [-29:27:1]&[-19:121:1]

Data from Elliptic Curve Data by J. E. Cremona.
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