Cremona's table of elliptic curves

39494 = 2 · 7² · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
39494a (1 curve)	2	2+ 7+ 13+ 31-	2+ -2 -2 7+ -5 13+ -3 -3
Curve Equation t Generators 39494a1 [1,0,1,-10512,417134] 1 [-94:806:1]&[61:31:1]
39494b (1 curve)	0	2+ 7+ 13- 31+	2+  1  2 7+  0 13-  0 -4
Curve Equation t 39494b1 [1,0,1,-2280,19254] 1
39494c (2 curves)	0	2+ 7- 13+ 31+	2+  0 -4 7-  4 13+ -6  4
Curve Equation t 39494c1 [1,-1,0,-477514,120781044] 2 39494c2 [1,-1,0,337846,490139124] 2
39494d (1 curve)	1	2+ 7- 13+ 31-	2+ -1  1 7- -6 13+  6 -2
Curve Equation t Generators 39494d1 [1,1,0,-161382,42397972] 1 [517:9615:1]
39494e (1 curve)	1	2+ 7- 13+ 31-	2+ -1 -1 7-  6 13+  2  6
Curve Equation t Generators 39494e1 [1,1,0,13247,161141] 1 [335:6339:1]
39494f (1 curve)	1	2+ 7- 13+ 31-	2+ -1 -2 7-  0 13+  0  4
Curve Equation t Generators 39494f1 [1,1,0,-46,-76] 1 [-4:10:1]
39494g (1 curve)	1	2+ 7- 13- 31+	2+  1  1 7-  6 13- -2 -6
Curve Equation t Generators 39494g1 [1,0,1,649077,-53324106] 1 [114180:4453126:125]
39494h (1 curve)	1	2+ 7- 13- 31+	2+ -1 -1 7- -2 13-  6 -6
Curve Equation t Generators 39494h1 [1,1,0,-8943,322309] 1 [27:-332:1]
39494i (1 curve)	1	2+ 7- 13- 31+	2+  2  2 7- -5 13-  3  3
Curve Equation t Generators 39494i1 [1,1,0,-214,-1308] 1 [24:78:1]
39494j (2 curves)	0	2+ 7- 13- 31-	2+  0  0 7-  4 13- -2 -8
Curve Equation t 39494j1 [1,-1,0,-212032,-37524432] 2 39494j2 [1,-1,0,-199292,-42240780] 2
39494k (1 curve)	0	2+ 7- 13- 31-	2+  1  1 7-  2 13-  2 -2
Curve Equation t 39494k1 [1,0,1,1542,-20730] 1
39494l (1 curve)	0	2+ 7- 13- 31-	2+  1  1 7-  2 13- -7  4
Curve Equation t 39494l1 [1,0,1,2522,67960] 1
39494m (1 curve)	0	2+ 7- 13- 31-	2+ -1 -1 7-  0 13-  5  2
Curve Equation t 39494m1 [1,1,0,-123,-10499] 1
39494n (2 curves)	0	2+ 7- 13- 31-	2+ -2 -2 7- -4 13- -4  4
Curve Equation t 39494n1 [1,0,1,-173927,-30858390] 2 39494n2 [1,0,1,-2863047,-1864838230] 2
39494o (1 curve)	0	2+ 7- 13- 31-	2+  3 -3 7- -2 13- -2  6
Curve Equation t 39494o1 [1,-1,0,-6526,-1522564] 1
39494p (1 curve)	0	2- 7+ 13+ 31+	2- -1  2 7+  0 13+ -4 -4
Curve Equation t 39494p1 [1,1,1,-932,-11271] 1
39494q (1 curve)	0	2- 7+ 13+ 31+	2-  2  2 7+ -3 13+ -7 -1
Curve Equation t 39494q1 [1,1,1,170078,33501103] 1
39494r (1 curve)	1	2- 7+ 13+ 31-	2- -2  2 7+  5 13+ -3  3
Curve Equation t Generators 39494r1 [1,0,0,-154057,23264793] 1 [-94:6123:1]
39494s (2 curves)	1	2- 7- 13+ 31+	2-  1 -1 7-  2 13+ -3  0
Curve Equation t Generators 39494s1 [1,0,0,-691146,-221222716] 1 [7969024:1209909954:343] 39494s2 [1,0,0,3277364,-766781366] 1 [37432734245492969141605939110369477296940:-5737402524584738512478110965031390883131429:1613529265772783886468536865473334208]
39494t (3 curves)	1	2- 7- 13+ 31+	2- -1 -3 7-  0 13+ -3 -2
Curve Equation t Generators 39494t1 [1,1,1,123038,-13391505] 1 [185:3875:1] 39494t2 [1,1,1,-1256802,751792495] 1 [-109:29845:1] 39494t3 [1,1,1,-112386842,458539749135] 1 [5967:17693:1]
39494u (1 curve)	0	2- 7- 13+ 31-	2- -1  3 7- -4 13+ -3  4
Curve Equation t 39494u1 [1,1,1,-4754,-128577] 1
39494v (1 curve)	0	2- 7- 13+ 31-	2-  3 -1 7-  0 13+ -3  8
Curve Equation t 39494v1 [1,-1,1,15597,780595] 1
39494w (1 curve)	0	2- 7- 13- 31+	2-  2 -2 7-  5 13-  3 -3
Curve Equation t 39494w1 [1,1,1,-3144,-69175] 1
39494x (1 curve)	1	2- 7- 13- 31-	2-  1 -2 7-  0 13-  4  4
Curve Equation t Generators 39494x1 [1,0,0,-45669,3728885] 1 [106:233:1]
39494y (1 curve)	1	2- 7- 13- 31-	2- -2 -2 7- -3 13-  7  1
Curve Equation t Generators 39494y1 [1,0,0,3471,-97175] 1 [78:-845:1]

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