Cremona's table of elliptic curves

49010 = 2 · 5 · 13² · 29

Class	r	Atkin-Lehner	Eigenvalues
49010a (1 curve)	0	2+ 5+ 13+ 29-	2+  1 5+  3 -2 13+  2 -6
Curve Equation t 49010a1 [1,0,1,-4,106] 1
49010b (2 curves)	2	2+ 5+ 13+ 29-	2+ -2 5+  2 -4 13+ -6  0
Curve Equation t Generators 49010b1 [1,0,1,-29579,1842102] 2 [911:-27496:1]&[-90:1988:1] 49010b2 [1,0,1,24501,7834166] 2 [-64:2482:1]&[23:-2912:1]
49010c (2 curves)	1	2+ 5+ 13- 29-	2+  2 5+  0  0 13-  2  8
Curve Equation t Generators 49010c1 [1,1,0,-1232013,525502697] 2 [-1021:27350:1] 49010c2 [1,1,0,-19708783,33669132723] 2 [354711:-38763610:27]
49010d (2 curves)	0	2+ 5- 13+ 29+	2+  0 5-  2 -2 13+ -2 -6
Curve Equation t 49010d1 [1,-1,0,-14566564,-21394810800] 2 49010d2 [1,-1,0,-14350244,-22061206192] 2
49010e (1 curve)	0	2+ 5- 13+ 29+	2+  0 5-  5  5 13+  6 -5
Curve Equation t 49010e1 [1,-1,0,-108614,15991860] 1
49010f (2 curves)	0	2+ 5- 13+ 29+	2+  1 5-  1 -6 13+ -6 -2
Curve Equation t 49010f1 [1,0,1,-1928463,1867587906] 1 49010f2 [1,0,1,16350577,-36028517822] 1
49010g (2 curves)	0	2+ 5- 13+ 29+	2+  2 5- -4 -6 13+  2  2
Curve Equation t 49010g1 [1,1,0,-161633462,790869916244] 2 49010g2 [1,1,0,-158172342,826362317396] 2
49010h (1 curve)	2	2+ 5- 13+ 29+	2+ -2 5- -3 -3 13+  0 -1
Curve Equation t Generators 49010h1 [1,0,1,87,1406] 1 [-8:18:1]&[-50:221:8]
49010i (1 curve)	0	2+ 5- 13+ 29+	2+ -3 5- -4  4 13+  7 -3
Curve Equation t 49010i1 [1,-1,0,-454,-7370] 1
49010j (1 curve)	1	2+ 5- 13+ 29-	2+ -2 5- -3  1 13+ -4  3
Curve Equation t Generators 49010j1 [1,0,1,-3499318,-2519895792] 1 [2624:78480:1]
49010k (1 curve)	2	2- 5+ 13+ 29+	2-  0 5+ -5 -5 13+  6  5
Curve Equation t Generators 49010k1 [1,-1,1,-643,7427] 1 [-13:-110:1]&[-162:947:8]
49010l (2 curves)	0	2- 5+ 13+ 29+	2-  1 5+ -1  6 13+ -6  2
Curve Equation t 49010l1 [1,0,0,-11411,849185] 3 49010l2 [1,0,0,96749,-16391519] 1
49010m (1 curve)	0	2- 5+ 13+ 29+	2- -2 5+  3  3 13+  0  1
Curve Equation t 49010m1 [1,0,0,14784,3074746] 1
49010n (1 curve)	1	2- 5+ 13+ 29-	2-  1 5+ -4 -4 13+  3 -3
Curve Equation t Generators 49010n1 [1,0,0,-90841,-10550879] 1 [2790:2323:8]
49010o (2 curves)	1	2- 5+ 13+ 29-	2- -2 5+  0 -2 13+ -4 -6
Curve Equation t Generators 49010o1 [1,0,0,-110276,11658256] 2 [40:2684:1] 49010o2 [1,0,0,-1678596,836908240] 2 [794:-2594:1]
49010p (1 curve)	1	2- 5+ 13+ 29-	2- -2 5+  3 -1 13+ -4 -3
Curve Equation t Generators 49010p1 [1,0,0,-20706,-1148564] 1 [258:3142:1]
49010q (2 curves)	1	2- 5- 13+ 29+	2-  0 5-  2 -2 13+  2  2
Curve Equation t Generators 49010q1 [1,-1,1,-11862,-483739] 2 [-59:119:1] 49010q2 [1,-1,1,1658,-1532891] 2 [127:781:1]
49010r (4 curves)	0	2- 5- 13+ 29-	2-  0 5-  0 -4 13+  6 -4
Curve Equation t 49010r1 [1,-1,1,-24362227,46279933379] 4 49010r2 [1,-1,1,-27204807,34808417531] 4 49010r3 [1,-1,1,80470163,242018129799] 2 49010r4 [1,-1,1,-180361057,-906612419969] 2
49010s (1 curve)	0	2- 5- 13+ 29-	2-  1 5- -3  2 13+  2  6
Curve Equation t 49010s1 [1,0,0,-595,234025] 1
49010t (2 curves)	1	2- 5- 13- 29-	2-  2 5-  0  0 13-  2 -8
Curve Equation t Generators 49010t1 [1,1,1,-7290,236387] 2 [3060:-1301:64] 49010t2 [1,1,1,-116620,15280195] 2 [43694:3201499:8]

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