Cremona's table of elliptic curves

105710 = 2 · 5 · 11 · 31²

Class	r	Atkin-Lehner	Eigenvalues
105710a (2 curves)	0	2+ 5+ 11+ 31-	2+ -1 5+  5 11+ -2 -3 -7
Curve Equation t 105710a1 [1,1,0,-85068,-9676592] 1 105710a2 [1,1,0,284917,-49856963] 1
105710b (1 curve)	0	2+ 5+ 11+ 31-	2+  2 5+ -1 11+ -4 -5 -4
Curve Equation t 105710b1 [1,1,0,25447,11508653] 1
105710c (2 curves)	0	2+ 5+ 11+ 31-	2+  2 5+ -4 11+  4  4  4
Curve Equation t 105710c1 [1,1,0,49472,5622528] 2 105710c2 [1,1,0,-334928,56901488] 2
105710d (1 curve)	1	2+ 5+ 11- 31-	2+ -2 5+ -1 11-  4  5 -4
Curve Equation t Generators 105710d1 [1,0,1,26,-384] 1 [18:68:1]
105710e (2 curves)	1	2- 5+ 11+ 31-	2-  0 5+ -4 11+  2 -6 -2
Curve Equation t Generators 105710e1 [1,-1,1,-12193,6613857] 2 [3350:67513:8] 105710e2 [1,-1,1,-608013,181308281] 2 [-209:17402:1]
105710f (2 curves)	1	2- 5+ 11+ 31-	2-  2 5+  2 11+ -5  6 -1
Curve Equation t Generators 105710f1 [1,1,1,-361,-4817] 1 [1684:3551:64] 105710f2 [1,1,1,3049,89299] 1 [-95181582076:1407004319475:6602349376]
105710g (2 curves)	1	2- 5+ 11- 31+	2- -2 5+  2 11-  5 -6 -1
Curve Equation t Generators 105710g1 [1,0,0,-346941,138987721] 3 [2376:111637:1] 105710g2 [1,0,0,2930069,-2622220905] 1 [3291184206156:177668097100047:1512953792]
105710h (1 curve)	0	2- 5+ 11- 31-	2-  0 5+  1 11-  4 -1  2
Curve Equation t 105710h1 [1,-1,1,-12193,1072731] 1
105710i (2 curves)	0	2- 5+ 11- 31-	2- -1 5+ -1 11- -2  3 -1
Curve Equation t 105710i1 [1,1,1,-981,-32717] 1 105710i2 [1,1,1,8629,770679] 1
105710j (2 curves)	0	2- 5- 11+ 31-	2-  1 5-  3 11+  6  7  5
Curve Equation t 105710j1 [1,0,0,9590,1459972] 1 105710j2 [1,0,0,-5708360,5248990862] 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