Cremona's table of elliptic curves

4704 = 2⁵ · 3 · 7²

Class	r	Atkin-Lehner	Eigenvalues
4704a (1 curve)	1	2+ 3+ 7+	2+ 3+  0 7+ -2  1 -2  5
Curve Equation t Generators 4704a1 [0,-1,0,-4573,-364139] 1 [1155:39164:1]
4704b (1 curve)	1	2+ 3+ 7+	2+ 3+  0 7+ -2  5 -2 -3
Curve Equation t Generators 4704b1 [0,-1,0,-653,6693] 1 [19:28:1]
4704c (1 curve)	1	2+ 3+ 7+	2+ 3+  3 7+  1 -4  4  0
Curve Equation t Generators 4704c1 [0,-1,0,-3544,-81164] 1 [180:2254:1]
4704d (1 curve)	0	2+ 3+ 7-	2+ 3+  0 7-  2 -5  2 -3
Curve Equation t 4704d1 [0,-1,0,-32013,2231685] 1
4704e (2 curves)	0	2+ 3+ 7-	2+ 3+  2 7- -2  0  2  0
Curve Equation t 4704e1 [0,-1,0,-12462,-531180] 2 4704e2 [0,-1,0,-14177,-373743] 2
4704f (4 curves)	0	2+ 3+ 7-	2+ 3+ -2 7-  4  2  6  4
Curve Equation t 4704f1 [0,-1,0,-114,-216] 4 4704f2 [0,-1,0,-1584,-23736] 2 4704f3 [0,-1,0,-849,9633] 2 4704f4 [0,-1,0,376,-1980] 2
4704g (1 curve)	0	2+ 3+ 7-	2+ 3+ -3 7- -1  4 -4  0
Curve Equation t 4704g1 [0,-1,0,-72,-216] 1
4704h (2 curves)	0	2+ 3+ 7-	2+ 3+  4 7- -2  2  0  4
Curve Equation t 4704h1 [0,-1,0,10274,-584492] 2 4704h2 [0,-1,0,-73761,-6046767] 2
4704i (1 curve)	0	2+ 3- 7+	2+ 3-  0 7+  2  5 -2  3
Curve Equation t 4704i1 [0,1,0,-653,-6693] 1
4704j (1 curve)	0	2+ 3- 7+	2+ 3-  3 7+ -1 -4  4  0
Curve Equation t 4704j1 [0,1,0,-3544,81164] 1
4704k (1 curve)	1	2+ 3- 7-	2+ 3-  0 7- -2 -1  2 -5
Curve Equation t Generators 4704k1 [0,1,0,-93,1035] 1 [-3:36:1]
4704l (2 curves)	1	2+ 3- 7-	2+ 3-  0 7- -2  2 -4  4
Curve Equation t Generators 4704l1 [0,1,0,82,-1548] 2 [18:78:1] 4704l2 [0,1,0,-1633,-24529] 2 [-25:36:1]
4704m (1 curve)	1	2+ 3- 7-	2+ 3-  0 7- -2 -5  2  3
Curve Equation t Generators 4704m1 [0,1,0,-32013,-2231685] 1 [237:1884:1]
4704n (2 curves)	1	2+ 3- 7-	2+ 3- -2 7- -2  0 -2  0
Curve Equation t Generators 4704n1 [0,1,0,-254,1476] 2 [10:6:1] 4704n2 [0,1,0,-289,1007] 2 [-1:36:1]
4704o (1 curve)	1	2+ 3- 7-	2+ 3- -3 7-  1  4 -4  0
Curve Equation t Generators 4704o1 [0,1,0,-72,216] 1 [6:-6:1]
4704p (1 curve)	0	2- 3+ 7+	2- 3+  1 7+  1  0 -8 -4
Curve Equation t 4704p1 [0,-1,0,3120,-7272] 1
4704q (1 curve)	0	2- 3+ 7+	2- 3+ -4 7+  6  5  2  1
Curve Equation t 4704q1 [0,-1,0,915,-7419] 1
4704r (1 curve)	1	2- 3+ 7-	2- 3+  0 7-  2 -1  2  5
Curve Equation t Generators 4704r1 [0,-1,0,-93,-1035] 1 [23:92:1]
4704s (2 curves)	1	2- 3+ 7-	2- 3+  0 7-  2  2 -4 -4
Curve Equation t Generators 4704s1 [0,-1,0,82,1548] 2 [19:98:1] 4704s2 [0,-1,0,-1633,24529] 2 [-9:196:1]
4704t (1 curve)	1	2- 3+ 7-	2- 3+ -1 7- -1  0  8 -4
Curve Equation t Generators 4704t1 [0,-1,0,152864,-2188556] 1 [6180:486758:1]
4704u (4 curves)	1	2- 3+ 7-	2- 3+  2 7- -4  6  2 -4
Curve Equation t Generators 4704u1 [0,-1,0,-702,6840] 4 [20:20:1] 4704u2 [0,-1,0,-2417,-37407] 2 [-19:36:1] 4704u3 [0,-1,0,-10992,447252] 4 [2938:54145:8] 4704u4 [0,-1,0,768,30360] 2 [-134:895:8]
4704v (4 curves)	1	2- 3+ 7-	2- 3+ -2 7-  0 -2 -2  4
Curve Equation t Generators 4704v1 [0,-1,0,-1094,11544] 4 [44:216:1] 4704v2 [0,-1,0,-5504,-145452] 2 [-44:98:1] 4704v3 [0,-1,0,-16529,823425] 4 [-37:1176:1] 4704v4 [0,-1,0,2336,66424] 2 [1731:18620:27]
4704w (2 curves)	1	2- 3+ 7-	2- 3+ -2 7-  2  0 -2  0
Curve Equation t Generators 4704w1 [0,-1,0,-254,-1476] 2 [19:14:1] 4704w2 [0,-1,0,-289,-1007] 2 [-9:28:1]
4704x (1 curve)	1	2- 3+ 7-	2- 3+  4 7- -6 -5 -2  1
Curve Equation t Generators 4704x1 [0,-1,0,19,-27] 1 [7:20:1]
4704y (1 curve)	1	2- 3- 7+	2- 3-  0 7+  2  1 -2 -5
Curve Equation t Generators 4704y1 [0,1,0,-4573,364139] 1 [65:-588:1]
4704z (1 curve)	1	2- 3- 7+	2- 3-  1 7+ -1  0 -8  4
Curve Equation t Generators 4704z1 [0,1,0,3120,7272] 1 [6:162:1]
4704ba (1 curve)	1	2- 3- 7+	2- 3- -4 7+ -6  5  2 -1
Curve Equation t Generators 4704ba1 [0,1,0,915,7419] 1 [65:588:1]
4704bb (1 curve)	0	2- 3- 7-	2- 3- -1 7-  1  0  8  4
Curve Equation t 4704bb1 [0,1,0,152864,2188556] 1
4704bc (2 curves)	0	2- 3- 7-	2- 3-  2 7-  2  0  2  0
Curve Equation t 4704bc1 [0,1,0,-12462,531180] 2 4704bc2 [0,1,0,-14177,373743] 2
4704bd (4 curves)	0	2- 3- 7-	2- 3-  2 7-  4  6  2  4
Curve Equation t 4704bd1 [0,1,0,-702,-6840] 4 4704bd2 [0,1,0,-10992,-447252] 2 4704bd3 [0,1,0,-2417,37407] 4 4704bd4 [0,1,0,768,-30360] 2
4704be (4 curves)	0	2- 3- 7-	2- 3- -2 7-  0 -2 -2 -4
Curve Equation t 4704be1 [0,1,0,-1094,-11544] 4 4704be2 [0,1,0,-16529,-823425] 2 4704be3 [0,1,0,-5504,145452] 2 4704be4 [0,1,0,2336,-66424] 4
4704bf (4 curves)	0	2- 3- 7-	2- 3- -2 7- -4  2  6 -4
Curve Equation t 4704bf1 [0,1,0,-114,216] 4 4704bf2 [0,1,0,-849,-9633] 2 4704bf3 [0,1,0,-1584,23736] 2 4704bf4 [0,1,0,376,1980] 2
4704bg (2 curves)	0	2- 3- 7-	2- 3-  4 7-  2  2  0 -4
Curve Equation t 4704bg1 [0,1,0,10274,584492] 2 4704bg2 [0,1,0,-73761,6046767] 2
4704bh (1 curve)	0	2- 3- 7-	2- 3-  4 7-  6 -5 -2 -1
Curve Equation t 4704bh1 [0,1,0,19,27] 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