Cremona's table of elliptic curves

5166 = 2 · 3² · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
5166a (1 curve)	1	2+ 3+ 7+ 41+	2+ 3+  1 7+  0 -1  1  5
Curve Equation t Generators 5166a1 [1,-1,0,-5736759,-5345216803] 1 [19961843899:-91394491358:7189057]
5166b (1 curve)	1	2+ 3+ 7+ 41+	2+ 3+  1 7+  0 -1 -4  0
Curve Equation t Generators 5166b1 [1,-1,0,6,-8] 1 [2:2:1]
5166c (1 curve)	1	2+ 3+ 7+ 41+	2+ 3+ -2 7+  3  2  4 -7
Curve Equation t Generators 5166c1 [1,-1,0,147,1061] 1 [-5:16:1]
5166d (1 curve)	1	2+ 3+ 7- 41-	2+ 3+  1 7- -4 -3  3 -5
Curve Equation t Generators 5166d1 [1,-1,0,-84,392] 1 [7:7:1]
5166e (1 curve)	1	2+ 3+ 7- 41-	2+ 3+ -2 7-  5 -6  0  1
Curve Equation t Generators 5166e1 [1,-1,0,-4278,-106636] 1 [109:790:1]
5166f (2 curves)	1	2+ 3+ 7- 41-	2+ 3+  3 7-  0 -1  0 -4
Curve Equation t Generators 5166f1 [1,-1,0,-25383,1562913] 3 [-114:1779:1] 5166f2 [1,-1,0,-18618,2408948] 1 [316:5134:1]
5166g (2 curves)	0	2+ 3- 7+ 41+	2+ 3-  0 7+ -2 -6  2 -8
Curve Equation t 5166g1 [1,-1,0,-3402,-79628] 2 5166g2 [1,-1,0,-55242,-4983692] 2
5166h (1 curve)	0	2+ 3- 7+ 41+	2+ 3-  1 7+  6 -4 -7  0
Curve Equation t 5166h1 [1,-1,0,-189,-59] 1
5166i (1 curve)	0	2+ 3- 7+ 41+	2+ 3- -1 7+  4 -3  7  5
Curve Equation t 5166i1 [1,-1,0,-48825,-5107091] 1
5166j (4 curves)	0	2+ 3- 7+ 41+	2+ 3- -2 7+  0  6 -2 -4
Curve Equation t 5166j1 [1,-1,0,-918,-12636] 2 5166j2 [1,-1,0,-15498,-738720] 4 5166j3 [1,-1,0,-247968,-47465190] 2 5166j4 [1,-1,0,-16308,-656586] 2
5166k (2 curves)	0	2+ 3- 7+ 41+	2+ 3-  4 7+ -6  2  2  0
Curve Equation t 5166k1 [1,-1,0,-4320,114988] 2 5166k2 [1,-1,0,-69930,7135258] 2
5166l (1 curve)	0	2+ 3- 7+ 41+	2+ 3- -4 7+  1 -4 -2  5
Curve Equation t 5166l1 [1,-1,0,-29664,-2278206] 1
5166m (1 curve)	1	2+ 3- 7+ 41-	2+ 3- -1 7+ -2  3 -2  2
Curve Equation t Generators 5166m1 [1,-1,0,8280,96592] 1 [44:716:1]
5166n (1 curve)	1	2+ 3- 7+ 41-	2+ 3-  3 7+  0 -5  1 -1
Curve Equation t Generators 5166n1 [1,-1,0,-288,-10368] 1 [27:18:1]
5166o (1 curve)	1	2+ 3- 7+ 41-	2+ 3- -4 7+  1  0 -2 -1
Curve Equation t Generators 5166o1 [1,-1,0,44361,16794589] 1 [1247:44210:1]
5166p (2 curves)	1	2+ 3- 7- 41+	2+ 3- -1 7- -2  4 -3  0
Curve Equation t Generators 5166p1 [1,-1,0,-1575,-22883] 1 [-21:35:1] 5166p2 [1,-1,0,-142065,20645527] 1 [213:17:1]
5166q (2 curves)	0	2+ 3- 7- 41-	2+ 3-  0 7-  3 -4 -6  5
Curve Equation t 5166q1 [1,-1,0,-252,-1512] 1 5166q2 [1,-1,0,1098,-6858] 3
5166r (2 curves)	0	2+ 3- 7- 41-	2+ 3-  1 7-  2  0  3 -8
Curve Equation t 5166r1 [1,-1,0,-174174,-25711084] 1 5166r2 [1,-1,0,-86501814,309682215836] 1
5166s (4 curves)	0	2+ 3- 7- 41-	2+ 3-  2 7-  4  2  2  4
Curve Equation t 5166s1 [1,-1,0,909,-88331] 2 5166s2 [1,-1,0,-25011,-1451723] 4 5166s3 [1,-1,0,-395451,-95617571] 2 5166s4 [1,-1,0,-69291,5145997] 2
5166t (2 curves)	0	2+ 3- 7- 41-	2+ 3-  4 7-  2 -6  6  4
Curve Equation t 5166t1 [1,-1,0,30,-172] 2 5166t2 [1,-1,0,-330,-1972] 2
5166u (1 curve)	1	2- 3+ 7+ 41-	2- 3+ -1 7+  0 -1 -1  5
Curve Equation t Generators 5166u1 [1,-1,1,-637418,198183465] 1 [2897:149079:1]
5166v (1 curve)	1	2- 3+ 7+ 41-	2- 3+ -1 7+  0 -1  4  0
Curve Equation t Generators 5166v1 [1,-1,1,52,163] 1 [13:47:1]
5166w (1 curve)	1	2- 3+ 7+ 41-	2- 3+  2 7+ -3  2 -4 -7
Curve Equation t Generators 5166w1 [1,-1,1,16,-45] 1 [5:9:1]
5166x (1 curve)	1	2- 3+ 7- 41+	2- 3+ -1 7-  4 -3 -3 -5
Curve Equation t Generators 5166x1 [1,-1,1,-758,-9827] 1 [43:167:1]
5166y (1 curve)	1	2- 3+ 7- 41+	2- 3+  2 7- -5 -6  0  1
Curve Equation t Generators 5166y1 [1,-1,1,-38504,2917675] 1 [115:-31:1]
5166z (2 curves)	1	2- 3+ 7- 41+	2- 3+ -3 7-  0 -1  0 -4
Curve Equation t Generators 5166z1 [1,-1,1,-2069,-88531] 3 [63:136:1] 5166z2 [1,-1,1,-228449,-41970203] 1 [847:18854:1]
5166ba (1 curve)	1	2- 3- 7+ 41+	2- 3-  0 7+ -5  4 -2 -1
Curve Equation t Generators 5166ba1 [1,-1,1,1480,-34725] 1 [35:225:1]
5166bb (1 curve)	0	2- 3- 7+ 41-	2- 3- -1 7+  0  2  5 -4
Curve Equation t 5166bb1 [1,-1,1,-23,33] 1
5166bc (2 curves)	0	2- 3- 7+ 41-	2- 3-  2 7+  6 -4  2  2
Curve Equation t 5166bc1 [1,-1,1,-18554,-968007] 2 5166bc2 [1,-1,1,-19994,-807879] 2
5166bd (1 curve)	0	2- 3- 7+ 41-	2- 3-  3 7+ -2  1  6  6
Curve Equation t 5166bd1 [1,-1,1,-401,-2991] 1
5166be (1 curve)	0	2- 3- 7+ 41-	2- 3- -3 7+  4  1 -3 -3
Curve Equation t 5166be1 [1,-1,1,-1139,-342471] 1
5166bf (2 curves)	0	2- 3- 7- 41+	2- 3-  3 7-  0  2  3 -4
Curve Equation t 5166bf1 [1,-1,1,-716,-5137] 1 5166bf2 [1,-1,1,-21011,1177139] 3
5166bg (2 curves)	0	2- 3- 7- 41+	2- 3- -3 7-  0 -1  3 -1
Curve Equation t 5166bg1 [1,-1,1,-18734,1099379] 1 5166bg2 [1,-1,1,-1562999,752508839] 3
5166bh (1 curve)	1	2- 3- 7- 41-	2- 3-  1 7- -4  1 -3 -3
Curve Equation t Generators 5166bh1 [1,-1,1,-572387,-169906557] 1 [24017:3708078:1]
5166bi (1 curve)	1	2- 3- 7- 41-	2- 3-  1 7- -4 -6 -3  4
Curve Equation t Generators 5166bi1 [1,-1,1,-362,2737] 1 [11:-5:1]
5166bj (1 curve)	1	2- 3- 7- 41-	2- 3- -1 7-  2 -5  2 -6
Curve Equation t Generators 5166bj1 [1,-1,1,-383,13223] 1 [33:-206:1]
5166bk (2 curves)	1	2- 3- 7- 41-	2- 3- -2 7-  2  4 -6 -6
Curve Equation t Generators 5166bk1 [1,-1,1,-761,-2919] 2 [-9:60:1] 5166bk2 [1,-1,1,-6521,202137] 2 [-21:584:1]
5166bl (1 curve)	1	2- 3- 7- 41-	2- 3- -4 7-  1 -4  2  7
Curve Equation t Generators 5166bl1 [1,-1,1,-4667,133035] 1 [47:102:1]
5166bm (2 curves)	1	2- 3- 7- 41-	2- 3- -4 7- -4  4  2 -6
Curve Equation t Generators 5166bm1 [1,-1,1,-285107,-141876205] 2 [763:8802:1] 5166bm2 [1,-1,1,-6183347,-5910354925] 2 [-1469:1882:1]

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