Cremona's table of elliptic curves

24986 = 2 · 13 · 31²

Class	r	Atkin-Lehner	Eigenvalues
24986a (1 curve)	1	2+ 13+ 31+	2+  2  2  1 -1 13+ -2  5
Curve Equation t Generators 24986a1 [1,1,0,-4344,337028] 1 [494:10664:1]
24986b (3 curves)	2	2+ 13+ 31-	2+ -1 -3 -1 -6 13+  3  2
Curve Equation t Generators 24986b1 [1,1,0,461,-6049] 1 [59:451:1]&[286:1779:8] 24986b2 [1,1,0,-4344,217864] 1 [-65:513:1]&[-3:482:1] 24986b3 [1,1,0,-441599,112767301] 1 [286:78659:8]&[369:296:1]
24986c (1 curve)	1	2+ 13- 31-	2+  1 -1  1 -2 13- -7 -4
Curve Equation t Generators 24986c1 [1,0,1,49471,5888500] 1 [12110:470597:8]
24986d (1 curve)	1	2+ 13- 31-	2+ -1  1 -3  0 13-  5 -2
Curve Equation t Generators 24986d1 [1,1,0,-2422,-908428] 1 [7124:26229:64]
24986e (1 curve)	1	2+ 13- 31-	2+ -2  2  1  1 13-  2  5
Curve Equation t Generators 24986e1 [1,0,1,-5,-12] 1 [3:0:1]
24986f (2 curves)	1	2- 13+ 31-	2-  1  1  3 -2 13+ -3  0
Curve Equation t Generators 24986f1 [1,0,0,-13554925,-19210255247] 1 [2961675126:-5971039132969:729] 24986f2 [1,0,0,64276465,-66616567837] 1 [8298276107002213425062785302925994785927549058970:-16730202566616768823249829242758106298754479397706361:2042576828773993078561815729544428503823000]
24986g (3 curves)	1	2- 13+ 31-	2- -1  3 -1  0 13+ -3  2
Curve Equation t Generators 24986g1 [1,1,1,2413051,-1166556021] 1 [9607:948508:1] 24986g2 [1,1,1,-24648709,65331568779] 1 [1259155:113886964:125] 24986g3 [1,1,1,-2204158269,39829264443259] 1 [28091990:269027587:1000]
24986h (1 curve)	1	2- 13+ 31-	2- -1 -3 -3  4 13+ -3 -4
Curve Equation t Generators 24986h1 [1,1,1,-93237,-11034245] 1 [1547:58808:1]
24986i (1 curve)	1	2- 13+ 31-	2-  3  1 -3  0 13+ -3 -8
Curve Equation t Generators 24986i1 [1,-1,1,305898,68060197] 1 [867:237881:27]
24986j (2 curves)	0	2- 13- 31-	2-  3 -1  1  2 13-  3  6
Curve Equation t 24986j1 [1,-1,1,-2583,-76625] 1 24986j2 [1,-1,1,-204393,39074515] 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