Cremona's table of elliptic curves

13416 = 2³ · 3 · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
13416a (4 curves)	1	2+ 3+ 13- 43-	2+ 3+  2  0  0 13- -6  4
Curve Equation t Generators 13416a1 [0,-1,0,-447,-8652] 4 [1059036:1934920:35937] 13416a2 [0,-1,0,-9692,-363660] 4 [5145:368940:1] 13416a3 [0,-1,0,-155032,-23443652] 2 [139071:9949940:27] 13416a4 [0,-1,0,-12272,-152100] 2 [234:3120:1]
13416b (1 curve)	0	2- 3+ 13+ 43+	2- 3+  1 -2 -4 13+ -4 -5
Curve Equation t 13416b1 [0,-1,0,480,-14676] 1
13416c (2 curves)	0	2- 3+ 13+ 43+	2- 3+ -2 -2  2 13+  2 -2
Curve Equation t 13416c1 [0,-1,0,-31364,-2127516] 2 13416c2 [0,-1,0,-31624,-2090180] 2
13416d (2 curves)	0	2- 3+ 13+ 43+	2- 3+  4  4  2 13+  2  4
Curve Equation t 13416d1 [0,-1,0,-8011,278668] 2 13416d2 [0,-1,0,-7996,279748] 2
13416e (2 curves)	1	2- 3+ 13+ 43-	2- 3+  2  2  2 13+ -6 -2
Curve Equation t Generators 13416e1 [0,-1,0,-47,-72] 2 [-4:6:1] 13416e2 [0,-1,0,-692,-6780] 2 [37:130:1]
13416f (2 curves)	1	2- 3- 13+ 43+	2- 3- -2  2  2 13+  2  2
Curve Equation t Generators 13416f1 [0,1,0,-404,2976] 2 [-14:78:1] 13416f2 [0,1,0,-664,-1600] 2 [-16:72:1]
13416g (2 curves)	0	2- 3- 13+ 43-	2- 3-  2  2 -2 13+ -6 -2
Curve Equation t 13416g1 [0,1,0,-839327,155367642] 2 13416g2 [0,1,0,-11572772,15143550240] 2
13416h (2 curves)	0	2- 3- 13+ 43-	2- 3-  2 -2  0 13+  6  0
Curve Equation t 13416h1 [0,1,0,-3032,-59520] 2 13416h2 [0,1,0,3728,-281248] 2
13416i (4 curves)	0	2- 3- 13- 43+	2- 3-  2  4  4 13-  2  0
Curve Equation t 13416i1 [0,1,0,73,618] 4 13416i2 [0,1,0,-772,7040] 4 13416i3 [0,1,0,-3112,-60352] 2 13416i4 [0,1,0,-11952,498960] 2
13416j (4 curves)	0	2- 3- 13- 43+	2- 3- -2  0  4 13- -6 -4
Curve Equation t 13416j1 [0,1,0,-559,-5278] 2 13416j2 [0,1,0,-564,-5184] 4 13416j3 [0,1,0,-1424,13392] 4 13416j4 [0,1,0,216,-17664] 2

Data from Elliptic Curve Data by J. E. Cremona.
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