Cremona's table of elliptic curves

60384 = 2⁵ · 3 · 17 · 37

Class	r	Atkin-Lehner	Eigenvalues
60384a (1 curve)	1	2+ 3+ 17+ 37+	2+ 3+ -3  5  3 -2 17+ -5
Curve Equation t Generators 60384a1 [0,-1,0,383,-18671] 1 [40:243:1]
60384b (1 curve)	2	2+ 3+ 17+ 37-	2+ 3+ -1 -1  3 -4 17+ -3
Curve Equation t Generators 60384b1 [0,-1,0,479,-4943] 1 [9:4:1]&[16:81:1]
60384c (1 curve)	0	2+ 3+ 17+ 37-	2+ 3+ -1 -2  0  7 17+  3
Curve Equation t 60384c1 [0,-1,0,-1096,14344] 1
60384d (1 curve)	0	2+ 3+ 17+ 37-	2+ 3+ -1  4  3  1 17+ -3
Curve Equation t 60384d1 [0,-1,0,225630259,-5523786180123] 1
60384e (1 curve)	0	2+ 3+ 17+ 37-	2+ 3+ -1  5  1 -4 17+  7
Curve Equation t 60384e1 [0,-1,0,11359,195249] 1
60384f (4 curves)	0	2+ 3+ 17+ 37-	2+ 3+  2 -4  4  2 17+  4
Curve Equation t 60384f1 [0,-1,0,-422,-3120] 4 60384f2 [0,-1,0,88,-10668] 2 60384f3 [0,-1,0,-977,7425] 2 60384f4 [0,-1,0,-6712,-209432] 2
60384g (1 curve)	0	2+ 3+ 17- 37+	2+ 3+  1  3  5  0 17-  5
Curve Equation t 60384g1 [0,-1,0,-13265,-583647] 1
60384h (1 curve)	2	2+ 3+ 17- 37+	2+ 3+ -3  0  3 -7 17- -5
Curve Equation t Generators 60384h1 [0,-1,0,-2877,-62379] 1 [79:444:1]&[95:716:1]
60384i (1 curve)	2	2+ 3+ 17- 37+	2+ 3+ -3  3 -3 -4 17-  1
Curve Equation t Generators 60384i1 [0,-1,0,1903,58209] 1 [-16:153:1]&[7:268:1]
60384j (1 curve)	2	2+ 3+ 17- 37+	2+ 3+ -3 -3 -3 -4 17-  1
Curve Equation t Generators 60384j1 [0,-1,0,-1377,23409] 1 [153:1836:1]&[17:-68:1]
60384k (4 curves)	0	2+ 3- 17+ 37+	2+ 3-  2  0 -4 -6 17+  4
Curve Equation t 60384k1 [0,1,0,-762,-5040] 4 60384k2 [0,1,0,2383,-33345] 2 60384k3 [0,1,0,-5352,145512] 2 60384k4 [0,1,0,-10752,-432612] 2
60384l (1 curve)	2	2+ 3- 17+ 37+	2+ 3- -3 -5 -3 -2 17+  5
Curve Equation t Generators 60384l1 [0,1,0,383,18671] 1 [-22:9:1]&[-13:108:1]
60384m (1 curve)	0	2+ 3- 17+ 37+	2+ 3-  4 -1  6 -5 17+  0
Curve Equation t 60384m1 [0,1,0,-416,3132] 1
60384n (1 curve)	1	2+ 3- 17+ 37-	2+ 3- -1  1 -3 -4 17+  3
Curve Equation t Generators 60384n1 [0,1,0,479,4943] 1 [11:-108:1]
60384o (1 curve)	1	2+ 3- 17+ 37-	2+ 3- -1  2  0  7 17+ -3
Curve Equation t Generators 60384o1 [0,1,0,-1096,-14344] 1 [38:18:1]
60384p (1 curve)	1	2+ 3- 17+ 37-	2+ 3- -1 -4 -3  1 17+  3
Curve Equation t Generators 60384p1 [0,1,0,225630259,5523786180123] 1 [-626257714491940203304694067:15431638147959082428239108076:46801083101869909172933]
60384q (1 curve)	1	2+ 3- 17+ 37-	2+ 3- -1 -5 -1 -4 17+ -7
Curve Equation t Generators 60384q1 [0,1,0,11359,-195249] 1 [187:2916:1]
60384r (4 curves)	1	2+ 3- 17+ 37-	2+ 3-  2  4 -4  2 17+ -4
Curve Equation t Generators 60384r1 [0,1,0,-422,3120] 4 [645:4158:125] 60384r2 [0,1,0,88,10668] 2 [4364745:-29631798:166375] 60384r3 [0,1,0,-977,-7425] 2 [-3086370:9194823:343000] 60384r4 [0,1,0,-6712,209432] 2 [22:270:1]
60384s (1 curve)	1	2+ 3- 17- 37+	2+ 3- -3  3  3 -4 17- -1
Curve Equation t Generators 60384s1 [0,1,0,-1377,-23409] 1 [51:204:1]
60384t (4 curves)	0	2- 3+ 17+ 37+	2- 3+  2  0  4 -6 17+ -4
Curve Equation t 60384t1 [0,-1,0,-762,5040] 4 60384t2 [0,-1,0,2383,33345] 2 60384t3 [0,-1,0,-5352,-145512] 2 60384t4 [0,-1,0,-10752,432612] 2
60384u (1 curve)	0	2- 3+ 17+ 37+	2- 3+  4  1 -6 -5 17+  0
Curve Equation t 60384u1 [0,-1,0,-416,-3132] 1
60384v (2 curves)	1	2- 3+ 17+ 37-	2- 3+ -2  4  0  0 17+ -2
Curve Equation t Generators 60384v1 [0,-1,0,26,-56] 2 [27:140:1] 60384v2 [0,-1,0,-144,-396] 2 [-4:10:1]
60384w (1 curve)	2	2- 3+ 17- 37-	2- 3+ -1 -3 -1 -2 17- -3
Curve Equation t Generators 60384w1 [0,-1,0,-2401,46897] 1 [-56:51:1]&[-21:296:1]
60384x (2 curves)	0	2- 3- 17+ 37-	2- 3- -2 -4  0  0 17+  2
Curve Equation t 60384x1 [0,1,0,26,56] 2 60384x2 [0,1,0,-144,396] 2
60384y (1 curve)	2	2- 3- 17- 37+	2- 3-  1 -3 -5  0 17- -5
Curve Equation t Generators 60384y1 [0,1,0,-13265,583647] 1 [67:12:1]&[-38:1017:1]
60384z (1 curve)	2	2- 3- 17- 37+	2- 3- -3  0 -3 -7 17-  5
Curve Equation t Generators 60384z1 [0,1,0,-2877,62379] 1 [-42:333:1]&[-27:348:1]
60384ba (1 curve)	2	2- 3- 17- 37+	2- 3- -3 -3  3 -4 17- -1
Curve Equation t Generators 60384ba1 [0,1,0,1903,-58209] 1 [33:204:1]&[43:324:1]
60384bb (1 curve)	1	2- 3- 17- 37-	2- 3- -1  3  1 -2 17-  3
Curve Equation t Generators 60384bb1 [0,1,0,-2401,-46897] 1 [58:111:1]

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