Cremona's table of elliptic curves

36192 = 2⁵ · 3 · 13 · 29

Class	r	Atkin-Lehner	Eigenvalues
36192a (1 curve)	1	2+ 3+ 13+ 29+	2+ 3+  1  4 -6 13+ -5  0
Curve Equation t Generators 36192a1 [0,-1,0,-125,3093] 1 [-17:4:1]
36192b (1 curve)	1	2+ 3+ 13+ 29+	2+ 3+ -1 -3  2 13+ -3 -7
Curve Equation t Generators 36192b1 [0,-1,0,-7736,272904] 1 [277:4394:1]
36192c (1 curve)	0	2+ 3+ 13+ 29-	2+ 3+  1  4 -2 13+  5 -8
Curve Equation t 36192c1 [0,-1,0,-4971565,4268787589] 1
36192d (2 curves)	0	2+ 3+ 13+ 29-	2+ 3+  2 -2  0 13+ -6  4
Curve Equation t 36192d1 [0,-1,0,-2842,-57188] 2 36192d2 [0,-1,0,-1537,-111215] 2
36192e (1 curve)	0	2+ 3+ 13+ 29-	2+ 3+  2 -2  3 13+ -3 -2
Curve Equation t 36192e1 [0,-1,0,-393992,95318868] 1
36192f (2 curves)	0	2+ 3+ 13+ 29-	2+ 3+ -2 -2  4 13+  2  4
Curve Equation t 36192f1 [0,-1,0,-1394,-19572] 2 36192f2 [0,-1,0,-1249,-23951] 2
36192g (1 curve)	0	2+ 3+ 13+ 29-	2+ 3+ -3  3 -2 13+ -3 -7
Curve Equation t 36192g1 [0,-1,0,-2336599832,-43473276262956] 1
36192h (1 curve)	0	2+ 3+ 13+ 29-	2+ 3+ -3 -4 -2 13+ -3  0
Curve Equation t 36192h1 [0,-1,0,33043,1833669] 1
36192i (1 curve)	0	2+ 3+ 13- 29+	2+ 3+  2 -2  3 13- -1  6
Curve Equation t 36192i1 [0,-1,0,8,-332] 1
36192j (4 curves)	2	2+ 3+ 13- 29+	2+ 3+ -2 -4  0 13- -2 -4
Curve Equation t Generators 36192j1 [0,-1,0,-254,1584] 4 [-16:36:1]&[-5:52:1] 36192j2 [0,-1,0,136,5640] 2 [1:76:1]&[85:790:1] 36192j3 [0,-1,0,-689,-4767] 2 [-8:13:1]&[43:208:1] 36192j4 [0,-1,0,-4024,99604] 2 [12:230:1]&[28:90:1]
36192k (1 curve)	0	2+ 3- 13+ 29+	2+ 3- -1  3 -2 13+ -3  7
Curve Equation t 36192k1 [0,1,0,-7736,-272904] 1
36192l (1 curve)	1	2+ 3- 13+ 29-	2+ 3-  1 -4  2 13+  5  8
Curve Equation t Generators 36192l1 [0,1,0,-4971565,-4268787589] 1 [2969:84564:1]
36192m (2 curves)	1	2+ 3- 13+ 29-	2+ 3-  2  2  0 13+ -6 -4
Curve Equation t Generators 36192m1 [0,1,0,-2842,57188] 2 [-58:174:1] 36192m2 [0,1,0,-1537,111215] 2 [-55:180:1]
36192n (1 curve)	1	2+ 3- 13+ 29-	2+ 3-  2  2 -3 13+ -3  2
Curve Equation t Generators 36192n1 [0,1,0,-393992,-95318868] 1 [3279:184062:1]
36192o (2 curves)	1	2+ 3- 13+ 29-	2+ 3- -2  2 -4 13+  2 -4
Curve Equation t Generators 36192o1 [0,1,0,-1394,19572] 2 [-8:174:1] 36192o2 [0,1,0,-1249,23951] 2 [11:-108:1]
36192p (1 curve)	1	2+ 3- 13+ 29-	2+ 3- -3 -3  2 13+ -3  7
Curve Equation t Generators 36192p1 [0,1,0,-2336599832,43473276262956] 1 [33823:1771146:1]
36192q (1 curve)	1	2+ 3- 13+ 29-	2+ 3- -3  4  2 13+ -3  0
Curve Equation t Generators 36192q1 [0,1,0,33043,-1833669] 1 [48789279:3093060996:12167]
36192r (1 curve)	1	2+ 3- 13- 29+	2+ 3-  2  2 -3 13- -1 -6
Curve Equation t Generators 36192r1 [0,1,0,8,332] 1 [-1:18:1]
36192s (4 curves)	1	2+ 3- 13- 29+	2+ 3- -2  4  0 13- -2  4
Curve Equation t Generators 36192s1 [0,1,0,-254,-1584] 4 [7710:41041:216] 36192s2 [0,1,0,136,-5640] 2 [9748794:56857283:287496] 36192s3 [0,1,0,-689,4767] 2 [138:1599:1] 36192s4 [0,1,0,-4024,-99604] 2 [5801586:19823705:74088]
36192t (2 curves)	0	2+ 3- 13- 29-	2+ 3-  4 -2 -2 13-  2 -8
Curve Equation t 36192t1 [0,1,0,-46,-28] 2 36192t2 [0,1,0,-481,3887] 2
36192u (1 curve)	0	2- 3+ 13+ 29+	2- 3+  0  4 -5 13+ -3  2
Curve Equation t 36192u1 [0,-1,0,-12288,895284] 1
36192v (1 curve)	0	2- 3+ 13+ 29+	2- 3+  3  0  2 13+  3  8
Curve Equation t 36192v1 [0,-1,0,51,261] 1
36192w (2 curves)	1	2- 3+ 13+ 29-	2- 3+ -2  2  0 13+  2 -8
Curve Equation t Generators 36192w1 [0,-1,0,-113714,14797380] 2 [146:1134:1] 36192w2 [0,-1,0,-113569,14836849] 2 [248:1365:1]
36192x (1 curve)	1	2- 3+ 13- 29+	2- 3+  3 -5  6 13- -1 -7
Curve Equation t Generators 36192x1 [0,-1,0,1776,98676] 1 [-20:234:1]
36192y (2 curves)	0	2- 3+ 13- 29-	2- 3+  4  2  2 13-  2  8
Curve Equation t 36192y1 [0,-1,0,-46,28] 2 36192y2 [0,-1,0,-481,-3887] 2
36192z (1 curve)	1	2- 3- 13+ 29+	2- 3-  0 -4  5 13+ -3 -2
Curve Equation t Generators 36192z1 [0,1,0,-12288,-895284] 1 [339:5832:1]
36192ba (1 curve)	1	2- 3- 13+ 29+	2- 3-  1 -4  6 13+ -5  0
Curve Equation t Generators 36192ba1 [0,1,0,-125,-3093] 1 [2145:1308:125]
36192bb (1 curve)	1	2- 3- 13+ 29+	2- 3-  3  0 -2 13+  3 -8
Curve Equation t Generators 36192bb1 [0,1,0,51,-261] 1 [5:12:1]
36192bc (2 curves)	0	2- 3- 13+ 29-	2- 3- -2 -2  0 13+  2  8
Curve Equation t 36192bc1 [0,1,0,-113714,-14797380] 2 36192bc2 [0,1,0,-113569,-14836849] 2
36192bd (1 curve)	0	2- 3- 13- 29+	2- 3-  3  5 -6 13- -1  7
Curve Equation t 36192bd1 [0,1,0,1776,-98676] 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