Cremona's table of elliptic curves

28611 = 3² · 11 · 17²

Class	r	Atkin-Lehner	Eigenvalues
28611a (2 curves)	1	3+ 11+ 17+	1 3+  4  2 11+ -2 17+  2
Curve Equation t Generators 28611a1 [1,-1,0,-24161610,-45553201177] 2 [-1121769967669365956461806908279568095903829850:-1790490402121900023635343176272521482930146711:379849277651086214647767579937239050328125] 28611a2 [1,-1,0,-386225145,-2921423859682] 2 [24583735795827194398267927218386065726610279290357751250066276700605610181284551317745932:-8723467102389522149823250126288198226352699816105617833763693885966147276662315810916161741:190958036498395118147321900816006010010075049381391393637083985713532323518674048448]
28611b (2 curves)	1	3+ 11+ 17+	1 3+ -4  2 11+ -2 17+ -6
Curve Equation t Generators 28611b1 [1,-1,0,-4389,21824] 2 [-338:3059:8] 28611b2 [1,-1,0,-43404,-3450511] 2 [21556:275827:64]
28611c (2 curves)	1	3+ 11+ 17+	-1 3+  2  2 11+ -2 17+  8
Curve Equation t Generators 28611c1 [1,-1,1,-172154,18286696] 2 [-23506:1882712:343] 28611c2 [1,-1,1,491101,124672798] 2 [2730337981:111055146019:4173281]
28611d (2 curves)	0	3+ 11- 17+	1 3+ -2  2 11- -2 17+  8
Curve Equation t 28611d1 [1,-1,0,-19128,-670909] 2 28611d2 [1,-1,0,54567,-4635700] 2
28611e (2 curves)	0	3+ 11- 17+	-1 3+  4  2 11- -2 17+ -6
Curve Equation t 28611e1 [1,-1,1,-488,-646] 2 28611e2 [1,-1,1,-4823,129404] 2
28611f (2 curves)	0	3+ 11- 17+	-1 3+ -4  2 11- -2 17+  2
Curve Equation t 28611f1 [1,-1,1,-217454492,1230153886270] 2 28611f2 [1,-1,1,-3476026307,78881920237720] 2
28611g (2 curves)	0	3- 11+ 17+	0 3-  3 -2 11+ -4 17+ -4
Curve Equation t 28611g1 [0,0,1,-16626,-825431] 1 28611g2 [0,0,1,10914,-3186986] 1
28611h (1 curve)	0	3- 11+ 17+	-2 3- -2  2 11+ -2 17+ -4
Curve Equation t 28611h1 [0,0,1,-2601,-51064] 1
28611i (1 curve)	0	3- 11+ 17+	-2 3-  4  5 11+  4 17+  2
Curve Equation t 28611i1 [0,0,1,18207,-165814] 1
28611j (1 curve)	1	3- 11+ 17-	0 3- -1  0 11+  2 17-  8
Curve Equation t Generators 28611j1 [0,0,1,-3468,-79403] 1 [223:3199:1]
28611k (1 curve)	1	3- 11+ 17-	0 3- -1  4 11+  6 17-  0
Curve Equation t Generators 28611k1 [0,0,1,-29478,3779325] 1 [59:1498:1]
28611l (1 curve)	1	3- 11+ 17-	1 3- -2 -3 11+ -5 17-  5
Curve Equation t Generators 28611l1 [1,-1,0,-24954048,47988799839] 1 [2818:4949:1]
28611m (1 curve)	1	3- 11+ 17-	-2 3- -1 -2 11+ -2 17-  2
Curve Equation t Generators 28611m1 [0,0,1,44217,1691300] 1 [0:1300:1]
28611n (1 curve)	1	3- 11- 17+	0 3-  1  0 11-  2 17+  8
Curve Equation t Generators 28611n1 [0,0,1,-1002252,-390105711] 1 [21702627079:-2120404153990:2248091]
28611o (1 curve)	1	3- 11- 17+	0 3-  1 -4 11-  6 17+  0
Curve Equation t Generators 28611o1 [0,0,1,-102,769] 1 [13:40:1]
28611p (1 curve)	1	3- 11- 17+	0 3- -2 -1 11- -6 17+ -6
Curve Equation t Generators 28611p1 [0,0,1,-700536,-227893190] 1 [1054:14305:1]
28611q (1 curve)	1	3- 11- 17+	0 3- -2  3 11-  2 17+  2
Curve Equation t Generators 28611q1 [0,0,1,-9699996,11628030672] 1 [4250:217183:1]
28611r (2 curves)	1	3- 11- 17+	0 3-  3 -2 11-  2 17+  2
Curve Equation t Generators 28611r1 [0,0,1,27744,-3536132] 1 [13566:316297:27] 28611r2 [0,0,1,-258366,115628683] 1 [233346675:5025991663:421875]
28611s (4 curves)	1	3- 11- 17+	1 3-  2  0 11- -2 17+  8
Curve Equation t Generators 28611s1 [1,-1,0,-31266,-2114753] 2 [-644365541429490:90001148616761:6113429299125] 28611s2 [1,-1,0,-44271,-177008] 4 [-815993724:-2177420258:4019679] 28611s3 [1,-1,0,176814,-1547735] 2 [4294:123781:8] 28611s4 [1,-1,0,-473436,125053339] 2 [18370:947983:125]
28611t (1 curve)	1	3- 11- 17+	1 3-  2  3 11- -5 17+  5
Curve Equation t Generators 28611t1 [1,-1,0,-86346,9788035] 1 [338:4205:1]
28611u (4 curves)	1	3- 11- 17+	-1 3- -2 -4 11- -2 17+  0
Curve Equation t Generators 28611u1 [1,-1,1,-16961,847280] 2 [-72:1336:1] 28611u2 [1,-1,1,-29966,-619684] 4 [-89:1200:1] 28611u3 [1,-1,1,113089,-4911334] 2 [2654:65139:8] 28611u4 [1,-1,1,-381101,-90369790] 2 [-357:475:1]
28611v (1 curve)	1	3- 11- 17+	2 3-  0  3 11- -4 17+ -2
Curve Equation t Generators 28611v1 [0,0,1,-21675,-1457933] 1 [125134090858:-689000602019:667627624]
28611w (3 curves)	1	3- 11- 17+	2 3-  1  2 11-  4 17+  0
Curve Equation t Generators 28611w1 [0,0,1,-867,-23337] 1 [140266054902:-1068505673363:1897413272] 28611w2 [0,0,1,-26877,3071853] 1 [14178:594469:8] 28611w3 [0,0,1,-20340687,35309904183] 1 [245330274030:-3488225963931:79507000]
28611x (1 curve)	1	3- 11- 17+	-2 3-  1  2 11- -2 17+  2
Curve Equation t Generators 28611x1 [0,0,1,153,344] 1 [9:-50:1]
28611y (2 curves)	0	3- 11- 17-	0 3- -3  2 11- -4 17- -4
Curve Equation t 28611y1 [0,0,1,-4804914,-4055341275] 1 28611y2 [0,0,1,3154146,-15657660990] 3
28611z (1 curve)	0	3- 11- 17-	-2 3-  2 -2 11- -2 17- -4
Curve Equation t 28611z1 [0,0,1,-751689,-250876204] 1

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

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