Cremona's table of elliptic curves

3648 = 2⁶ · 3 · 19

Class	r	Atkin-Lehner	Eigenvalues
3648a (2 curves)	1	2+ 3+ 19+	2+ 3+  0  0  0  0 -2 19+
Curve Equation t Generators 3648a1 [0,-1,0,-73,265] 2 [3:8:1] 3648a2 [0,-1,0,-33,513] 2 [-3:24:1]
3648b (4 curves)	1	2+ 3+ 19+	2+ 3+  0 -4  0  4  6 19+
Curve Equation t Generators 3648b1 [0,-1,0,-513,513] 2 [-1:32:1] 3648b2 [0,-1,0,2047,2049] 2 [1:64:1] 3648b3 [0,-1,0,-27393,-1735935] 2 [96887:1235968:343] 3648b4 [0,-1,0,-26753,-1821567] 2 [289:3808:1]
3648c (1 curve)	1	2+ 3+ 19+	2+ 3+  1 -1  5 -4 -3 19+
Curve Equation t Generators 3648c1 [0,-1,0,-375,3933] 1 [-12:81:1]
3648d (1 curve)	1	2+ 3+ 19+	2+ 3+  3 -3  1  2 -5 19+
Curve Equation t Generators 3648d1 [0,-1,0,-229,1597] 1 [4:27:1]
3648e (1 curve)	1	2+ 3+ 19+	2+ 3+ -3  3 -3  0  1 19+
Curve Equation t Generators 3648e1 [0,-1,0,-287,-1779] 1 [20:9:1]
3648f (2 curves)	0	2+ 3+ 19-	2+ 3+ -1  3  3  6  3 19-
Curve Equation t 3648f1 [0,-1,0,79,-333] 1 3648f2 [0,-1,0,-17561,-889893] 1
3648g (4 curves)	0	2+ 3+ 19-	2+ 3+  2  0  0 -6 -6 19-
Curve Equation t 3648g1 [0,-1,0,-97,-287] 2 3648g2 [0,-1,0,-417,3105] 4 3648g3 [0,-1,0,-6497,203745] 2 3648g4 [0,-1,0,543,14433] 2
3648h (4 curves)	0	2+ 3+ 19-	2+ 3+  2 -4 -4 -2  2 19-
Curve Equation t 3648h1 [0,-1,0,-52,70] 2 3648h2 [0,-1,0,-457,-3575] 4 3648h3 [0,-1,0,-7297,-237503] 2 3648h4 [0,-1,0,-97,-9407] 4
3648i (4 curves)	0	2+ 3+ 19-	2+ 3+ -2  0  0 -2  2 19-
Curve Equation t 3648i1 [0,-1,0,-689,-6735] 2 3648i2 [0,-1,0,-769,-4991] 4 3648i3 [0,-1,0,-5089,137569] 4 3648i4 [0,-1,0,2271,-37215] 2
3648j (2 curves)	0	2+ 3- 19+	2+ 3-  0  4 -4  0 -2 19+
Curve Equation t 3648j1 [0,1,0,-6113,-185985] 2 3648j2 [0,1,0,-5473,-225793] 2
3648k (1 curve)	0	2+ 3- 19+	2+ 3- -1 -3  5  2 -1 19+
Curve Equation t 3648k1 [0,1,0,219,963] 1
3648l (4 curves)	0	2+ 3- 19+	2+ 3-  2  4  4 -2  2 19+
Curve Equation t 3648l1 [0,1,0,-52,-70] 2 3648l2 [0,1,0,-457,3575] 4 3648l3 [0,1,0,-7297,237503] 4 3648l4 [0,1,0,-97,9407] 2
3648m (1 curve)	0	2+ 3- 19+	2+ 3-  3  1  5  6 -5 19+
Curve Equation t 3648m1 [0,1,0,11,83] 1
3648n (2 curves)	0	2+ 3- 19+	2+ 3- -4  4  4  4  6 19+
Curve Equation t 3648n1 [0,1,0,-65,159] 2 3648n2 [0,1,0,95,959] 2
3648o (2 curves)	1	2+ 3- 19-	2+ 3-  0  0  0  0 -2 19-
Curve Equation t Generators 3648o1 [0,1,0,-73,-265] 2 [31:168:1] 3648o2 [0,1,0,-33,-513] 2 [11:24:1]
3648p (1 curve)	1	2+ 3- 19-	2+ 3-  1  1 -5 -4 -3 19-
Curve Equation t Generators 3648p1 [0,1,0,-375,-3933] 1 [66:513:1]
3648q (2 curves)	1	2+ 3- 19-	2+ 3- -2  0 -2 -2  6 19-
Curve Equation t Generators 3648q1 [0,1,0,11,155] 2 [-1:12:1] 3648q2 [0,1,0,-369,2511] 2 [-9:72:1]
3648r (4 curves)	1	2+ 3- 19-	2+ 3- -2  0  4 -2 -6 19-
Curve Equation t Generators 3648r1 [0,1,0,-22529,-1176993] 2 [-71:264:1] 3648r2 [0,1,0,-350209,-79885729] 4 [11050:364287:8] 3648r3 [0,1,0,-5603329,-5107121569] 2 [7918918:144304215:2744] 3648r4 [0,1,0,-339969,-84766113] 4 [909:18924:1]
3648s (1 curve)	1	2+ 3- 19-	2+ 3-  3 -5 -1 -2 -1 19-
Curve Equation t Generators 3648s1 [0,1,0,-9,9] 1 [0:3:1]
3648t (1 curve)	1	2+ 3- 19-	2+ 3- -3 -3  3  0  1 19-
Curve Equation t Generators 3648t1 [0,1,0,-287,1779] 1 [10:3:1]
3648u (2 curves)	0	2- 3+ 19+	2- 3+ -2  0  2 -2  6 19+
Curve Equation t 3648u1 [0,-1,0,11,-155] 2 3648u2 [0,-1,0,-369,-2511] 2
3648v (4 curves)	0	2- 3+ 19+	2- 3+ -2  0 -4 -2 -6 19+
Curve Equation t 3648v1 [0,-1,0,-22529,1176993] 2 3648v2 [0,-1,0,-350209,79885729] 4 3648v3 [0,-1,0,-5603329,5107121569] 4 3648v4 [0,-1,0,-339969,84766113] 2
3648w (2 curves)	0	2- 3+ 19+	2- 3+ -2  4  6  2  6 19+
Curve Equation t 3648w1 [0,-1,0,-24,54] 2 3648w2 [0,-1,0,-9,105] 2
3648x (1 curve)	0	2- 3+ 19+	2- 3+  3  5  1 -2 -1 19+
Curve Equation t 3648x1 [0,-1,0,-9,-9] 1
3648y (2 curves)	1	2- 3+ 19-	2- 3+  0 -4  4  0 -2 19-
Curve Equation t Generators 3648y1 [0,-1,0,-6113,185985] 2 [43:28:1] 3648y2 [0,-1,0,-5473,225793] 2 [-51:608:1]
3648z (1 curve)	1	2- 3+ 19-	2- 3+  1  1  3  0 -7 19-
Curve Equation t Generators 3648z1 [0,-1,0,5,13] 1 [4:9:1]
3648ba (1 curve)	1	2- 3+ 19-	2- 3+ -1  3 -5  2 -1 19-
Curve Equation t Generators 3648ba1 [0,-1,0,219,-963] 1 [12:57:1]
3648bb (1 curve)	1	2- 3+ 19-	2- 3+  3 -1 -5  6 -5 19-
Curve Equation t Generators 3648bb1 [0,-1,0,11,-83] 1 [4:3:1]
3648bc (2 curves)	1	2- 3+ 19-	2- 3+ -4 -4 -4  4  6 19-
Curve Equation t Generators 3648bc1 [0,-1,0,-65,-159] 2 [-5:4:1] 3648bc2 [0,-1,0,95,-959] 2 [13:48:1]
3648bd (1 curve)	1	2- 3- 19+	2- 3-  1 -1 -3  0 -7 19+
Curve Equation t Generators 3648bd1 [0,1,0,5,-13] 1 [2:3:1]
3648be (2 curves)	1	2- 3- 19+	2- 3- -1 -3 -3  6  3 19+
Curve Equation t Generators 3648be1 [0,1,0,79,333] 1 [4:27:1] 3648be2 [0,1,0,-17561,889893] 1 [76:3:1]
3648bf (4 curves)	1	2- 3- 19+	2- 3-  2  0  0 -6 -6 19+
Curve Equation t Generators 3648bf1 [0,1,0,-97,287] 2 [-11:12:1] 3648bf2 [0,1,0,-417,-3105] 4 [498:11115:1] 3648bf3 [0,1,0,-6497,-203745] 2 [103:480:1] 3648bf4 [0,1,0,543,-14433] 2 [1093274:24437895:2197]
3648bg (4 curves)	1	2- 3- 19+	2- 3- -2  0  0 -2  2 19+
Curve Equation t Generators 3648bg1 [0,1,0,-689,6735] 2 [7:48:1] 3648bg2 [0,1,0,-769,4991] 4 [-25:96:1] 3648bg3 [0,1,0,-5089,-137569] 2 [-43:60:1] 3648bg4 [0,1,0,2271,37215] 4 [-6:153:1]
3648bh (4 curves)	0	2- 3- 19-	2- 3-  0  4  0  4  6 19-
Curve Equation t 3648bh1 [0,1,0,-513,-513] 2 3648bh2 [0,1,0,2047,-2049] 2 3648bh3 [0,1,0,-27393,1735935] 2 3648bh4 [0,1,0,-26753,1821567] 2
3648bi (2 curves)	0	2- 3- 19-	2- 3- -2 -4 -6  2  6 19-
Curve Equation t 3648bi1 [0,1,0,-24,-54] 2 3648bi2 [0,1,0,-9,-105] 2
3648bj (1 curve)	0	2- 3- 19-	2- 3-  3  3 -1  2 -5 19-
Curve Equation t 3648bj1 [0,1,0,-229,-1597] 1

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