Cremona's table of elliptic curves

81498 = 2 · 3 · 17² · 47

Class	r	Atkin-Lehner	Eigenvalues
81498a (1 curve)	1	2+ 3+ 17+ 47+	2+ 3+  1  0 -1  0 17+ -2
Curve Equation t Generators 81498a1 [1,1,0,-1045752,-591863688] 1 [3051131391059605:3415183583497361233:2433138625]
81498b (2 curves)	1	2+ 3+ 17+ 47+	2+ 3+ -2 -2  0  6 17+ -4
Curve Equation t Generators 81498b1 [1,1,0,-756021,-210916179] 2 [-645:3306:1] 81498b2 [1,1,0,-3541301,2367696045] 2 [32123:5731739:1]
81498c (2 curves)	0	2+ 3+ 17+ 47-	2+ 3+  3  4  6 -4 17+ -1
Curve Equation t 81498c1 [1,1,0,-6391096,9602375488] 1 81498c2 [1,1,0,52491209,-154219973483] 1
81498d (1 curve)	0	2+ 3+ 17+ 47-	2+ 3+  3 -4  2  0 17+  3
Curve Equation t 81498d1 [1,1,0,-26041,-1628363] 1
81498e (1 curve)	1	2+ 3+ 17- 47-	2+ 3+ -2  1  0 -5 17-  7
Curve Equation t Generators 81498e1 [1,1,0,-102456,-37559376] 1 [4744:323620:1]
81498f (2 curves)	0	2+ 3- 17+ 47+	2+ 3-  2  0 -4  4 17+ -6
Curve Equation t 81498f1 [1,0,1,-10555,780998] 2 81498f2 [1,0,1,-207075,36233206] 2
81498g (2 curves)	0	2+ 3- 17+ 47+	2+ 3-  2  2  0  6 17+ -4
Curve Equation t 81498g1 [1,0,1,-218490220,-1034701756246] 2 81498g2 [1,0,1,-1023436140,11639654721706] 2
81498h (2 curves)	1	2+ 3- 17+ 47-	2+ 3-  0 -4 -2 -6 17+  0
Curve Equation t Generators 81498h1 [1,0,1,-56506,-1506148] 2 [-95:1781:1] 81498h2 [1,0,1,215154,-11720564] 2 [398:-11904:1]
81498i (1 curve)	1	2+ 3- 17+ 47-	2+ 3-  2 -1  0 -5 17+  7
Curve Equation t Generators 81498i1 [1,0,1,-355,-7666] 1 [91:800:1]
81498j (1 curve)	1	2+ 3- 17- 47+	2+ 3- -1  0  1  0 17- -2
Curve Equation t Generators 81498j1 [1,0,1,-3619,-120682] 1 [76:173:1]
81498k (1 curve)	0	2+ 3- 17- 47-	2+ 3- -3  4 -2  0 17-  3
Curve Equation t 81498k1 [1,0,1,-7526000,-7947465778] 1
81498l (2 curves)	2	2+ 3- 17- 47-	2+ 3- -3 -4 -6 -4 17- -1
Curve Equation t Generators 81498l1 [1,0,1,-22115,1953182] 3 [-180:421:1]&[-129:1696:1] 81498l2 [1,0,1,181630,-31379500] 1 [10100:65625:64]&[10335:-267325:27]
81498m (2 curves)	0	2- 3+ 17+ 47+	2- 3+  0  0  6  0 17+ -6
Curve Equation t 81498m1 [1,1,1,19357,17829569] 2 81498m2 [1,1,1,-917003,327577457] 2
81498n (2 curves)	0	2- 3+ 17+ 47+	2- 3+ -2  0  2  6 17+ -2
Curve Equation t 81498n1 [1,1,1,-314149,-68109205] 2 81498n2 [1,1,1,-5030629,-4345013269] 2
81498o (1 curve)	0	2- 3+ 17+ 47+	2- 3+ -2  0 -4  3 17+ -2
Curve Equation t 81498o1 [1,1,1,425946,-292305885] 1
81498p (2 curves)	0	2- 3+ 17+ 47+	2- 3+ -4  0  4  4 17+  4
Curve Equation t 81498p1 [1,1,1,467885,-16420399] 2 81498p2 [1,1,1,-1890355,-134332399] 2
81498q (1 curve)	1	2- 3+ 17- 47+	2- 3+  1  0  2  4 17-  1
Curve Equation t Generators 81498q1 [1,1,1,-1740,-764691] 1 [813:22745:1]
81498r (1 curve)	1	2- 3+ 17- 47+	2- 3+  1  0 -5  4 17- -6
Curve Equation t Generators 81498r1 [1,1,1,3446881030,15314355812999] 1 [154633:65082731:1]
81498s (1 curve)	1	2- 3- 17+ 47+	2- 3- -1  0 -2  4 17+  1
Curve Equation t Generators 81498s1 [1,0,0,-6,-156] 1 [8:14:1]
81498t (1 curve)	1	2- 3- 17+ 47+	2- 3- -1  0  5  4 17+ -6
Curve Equation t Generators 81498t1 [1,0,0,996148617664,75232457068941312] 1 [85504:401245504:1]
81498u (6 curves)	1	2- 3- 17+ 47+	2- 3-  2  0  4 -2 17+  4
Curve Equation t Generators 81498u1 [1,0,0,310958,16248834308] 2 [11108:1173566:1] 81498u2 [1,0,0,-94388562,346617579780] 4 [2340:371070:1] 81498u3 [1,0,0,-201295442,-583151555580] 4 [1185910:1290764530:1] 81498u4 [1,0,0,-1502674002,22420365223428] 2 [23148:188406:1] 81498u5 [1,0,0,666929918,-4273282980652] 4 [1578251818:-1719797074664:1331] 81498u6 [1,0,0,-2780030882,-56397817166028] 2 [148293830:-161433062776:125]
81498v (4 curves)	1	2- 3- 17+ 47+	2- 3- -2  0  0  2 17+  0
Curve Equation t Generators 81498v1 [1,0,0,16756,-416112] 2 [58:838:1] 81498v2 [1,0,0,-75724,-3541936] 4 [-154:2192:1] 81498v3 [1,0,0,-619044,184990104] 2 [534:2334:1] 81498v4 [1,0,0,-1012084,-391756792] 2 [1214:12398:1]
81498w (2 curves)	1	2- 3- 17+ 47+	2- 3- -4  0  2  4 17+  6
Curve Equation t Generators 81498w1 [1,0,0,-3913355,-3191549199] 2 [3220:131041:1] 81498w2 [1,0,0,-63840395,-196336399119] 2 [-4616:3295:1]
81498x (2 curves)	0	2- 3- 17+ 47-	2- 3-  0  4  4  2 17+  2
Curve Equation t 81498x1 [1,0,0,-96549993,-365166012087] 2 81498x2 [1,0,0,-1544804133,-23370103724331] 2
81498y (2 curves)	0	2- 3- 17+ 47-	2- 3- -2 -2  6 -2 17+  0
Curve Equation t 81498y1 [1,0,0,-2540894,-1542930492] 2 81498y2 [1,0,0,-4714174,1487056484] 2
81498z (2 curves)	0	2- 3- 17+ 47-	2- 3-  4  4  0 -2 17+  6
Curve Equation t 81498z1 [1,0,0,-4341,134433] 2 81498z2 [1,0,0,-73701,7694673] 2
81498ba (1 curve)	0	2- 3- 17- 47+	2- 3-  2  0  4  3 17- -2
Curve Equation t 81498ba1 [1,0,0,123098388,-1436960500848] 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