Cremona's table of elliptic curves

10582 = 2 · 11 · 13 · 37

Class	r	Atkin-Lehner	Eigenvalues
10582a (1 curve)	0	2+ 11- 13+ 37+	2+  2 -3 -1 11- 13+ -6 -4
Curve Equation t 10582a1 [1,1,0,-1569399,-16054251499] 1
10582b (1 curve)	1	2+ 11- 13+ 37-	2+  2  2  1 11- 13+ -3 -3
Curve Equation t Generators 10582b1 [1,1,0,6,2] 1 [-2:7:8]
10582c (3 curves)	0	2+ 11- 13- 37-	2+ -2  3 -1 11- 13- -6  2
Curve Equation t 10582c1 [1,0,1,4608,424388] 3 10582c2 [1,0,1,-41977,-12246732] 3 10582c3 [1,0,1,-5538512,-5017406562] 1
10582d (1 curve)	1	2- 11+ 13+ 37-	2-  1  3 -4 11+ 13+  2  0
Curve Equation t Generators 10582d1 [1,0,0,-1208229,-511282303] 1 [12754:1428455:1]
10582e (1 curve)	1	2- 11+ 13+ 37-	2- -3 -1 -4 11+ 13+  2 -4
Curve Equation t Generators 10582e1 [1,-1,1,-18795468,31368451455] 1 [2519:-2629:1]
10582f (1 curve)	0	2- 11+ 13- 37-	2-  0 -1  1 11+ 13-  8  6
Curve Equation t 10582f1 [1,-1,1,-2046313,-1126182775] 1
10582g (1 curve)	0	2- 11+ 13- 37-	2-  0  3 -3 11+ 13-  0  6
Curve Equation t 10582g1 [1,-1,1,-46,363] 1
10582h (1 curve)	1	2- 11- 13+ 37+	2-  0  1 -3 11- 13+  4  2
Curve Equation t Generators 10582h1 [1,-1,1,3188,71567] 1 [5:293:1]
10582i (1 curve)	1	2- 11- 13+ 37+	2-  1 -3  4 11- 13+  2  0
Curve Equation t Generators 10582i1 [1,0,0,-22,-44] 1 [6:4:1]
10582j (1 curve)	1	2- 11- 13+ 37+	2- -2  3 -2 11- 13+  5 -6
Curve Equation t Generators 10582j1 [1,0,0,-32364,2238352] 1 [84:296:1]
10582k (1 curve)	0	2- 11- 13- 37+	2-  2 -1  2 11- 13- -3  6
Curve Equation t 10582k1 [1,1,1,54,197] 1
10582l (1 curve)	1	2- 11- 13- 37-	2-  0 -3  3 11- 13-  0  0
Curve Equation t Generators 10582l1 [1,-1,1,-1699,-26653] 1 [95:766:1]
10582m (1 curve)	1	2- 11- 13- 37-	2- -1  1  0 11- 13- -6  6
Curve Equation t Generators 10582m1 [1,1,1,145,4149] 1 [-11:42:1]
10582n (1 curve)	1	2- 11- 13- 37-	2-  2 -2 -3 11- 13-  3  3
Curve Equation t Generators 10582n1 [1,1,1,-13024,566785] 1 [49:197:1]
10582o (1 curve)	1	2- 11- 13- 37-	2- -2  2 -5 11- 13- -1 -1
Curve Equation t Generators 10582o1 [1,0,0,-100542,12377668] 1 [156:-782:1]
10582p (1 curve)	1	2- 11- 13- 37-	2-  3 -3  0 11- 13- -6 -6
Curve Equation t Generators 10582p1 [1,-1,1,175896,3267319] 1 [1443:95933:27]

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