Cremona's table of elliptic curves

65728 = 2⁶ · 13 · 79

Class	r	Atkin-Lehner	Eigenvalues
65728a (1 curve)	1	2+ 13+ 79+	2+  1  1  3 -4 13+ -1 -6
Curve Equation t Generators 65728a1 [0,1,0,-2057825,-1136901889] 1 [208609374641:1488637860064:124251499]
65728b (1 curve)	1	2+ 13+ 79+	2+  1 -3 -1  0 13+  3 -6
Curve Equation t Generators 65728b1 [0,1,0,543,1151] 1 [115:1264:1]
65728c (1 curve)	1	2+ 13+ 79+	2+  2  0 -3  2 13+ -8 -2
Curve Equation t Generators 65728c1 [0,-1,0,-133,669] 1 [42:75:8]
65728d (1 curve)	1	2+ 13+ 79+	2+ -2  4  3  2 13+ -4 -6
Curve Equation t Generators 65728d1 [0,1,0,-21,-2573] 1 [470304:556235:32768]
65728e (1 curve)	0	2+ 13+ 79-	2+  0 -1  1  3 13+  2  0
Curve Equation t 65728e1 [0,0,0,1652,-51984] 1
65728f (1 curve)	0	2+ 13+ 79-	2+  1 -3 -1  0 13+ -1  2
Curve Equation t 65728f1 [0,1,0,-175137,-60685249] 1
65728g (3 curves)	2	2+ 13+ 79-	2+  2  0 -1 -6 13+  0 -2
Curve Equation t Generators 65728g1 [0,-1,0,-853,9879] 1 [-30:87:1]&[138:3:8] 65728g2 [0,-1,0,-653,14423] 1 [82:711:1]&[-118:1149:8] 65728g3 [0,-1,0,5667,-313585] 1 [74:711:1]&[13926:318959:27]
65728h (2 curves)	0	2+ 13- 79+	2+  2  2 -4 -4 13-  6 -8
Curve Equation t 65728h1 [0,-1,0,-1697,-32095] 2 65728h2 [0,-1,0,-28737,-1865407] 2
65728i (1 curve)	1	2+ 13- 79-	2+  0  1  1  5 13-  6  0
Curve Equation t Generators 65728i1 [0,0,0,2708,-5644368] 1 [281116:2775744:1331]
65728j (2 curves)	1	2+ 13- 79-	2+  0  2  2  0 13- -6  0
Curve Equation t Generators 65728j1 [0,0,0,-1004,-16720] 2 [14488:1743860:1] 65728j2 [0,0,0,-17644,-901968] 2 [8897584440:1070930953188:614125]
65728k (1 curve)	1	2+ 13- 79-	2+  0 -3 -3  5 13- -6  0
Curve Equation t Generators 65728k1 [0,0,0,-74248684,246252843696] 1 [4980:624:1]
65728l (2 curves)	1	2+ 13- 79-	2+  2 -2 -2 -4 13- -2  4
Curve Equation t Generators 65728l1 [0,-1,0,-23329,-1384671] 2 [339:5436:1] 65728l2 [0,-1,0,-374849,-88210111] 2 [563499:6653060:729]
65728m (1 curve)	2	2- 13+ 79+	2-  0 -1 -1 -3 13+  2  0
Curve Equation t Generators 65728m1 [0,0,0,1652,51984] 1 [0:228:1]&[34:384:1]
65728n (1 curve)	0	2- 13+ 79+	2- -1 -3  1  0 13+ -1 -2
Curve Equation t 65728n1 [0,-1,0,-175137,60685249] 1
65728o (3 curves)	0	2- 13+ 79+	2- -2  0  1  6 13+  0  2
Curve Equation t 65728o1 [0,1,0,-853,-9879] 1 65728o2 [0,1,0,-653,-14423] 1 65728o3 [0,1,0,5667,313585] 1
65728p (1 curve)	1	2- 13+ 79-	2- -1  1 -3  4 13+ -1  6
Curve Equation t Generators 65728p1 [0,-1,0,-2057825,1136901889] 1 [22377:316:27]
65728q (1 curve)	1	2- 13+ 79-	2- -1 -3  1  0 13+  3  6
Curve Equation t Generators 65728q1 [0,-1,0,543,-1151] 1 [43:316:1]
65728r (1 curve)	1	2- 13+ 79-	2-  2  4 -3 -2 13+ -4  6
Curve Equation t Generators 65728r1 [0,-1,0,-21,2573] 1 [98722:896325:17576]
65728s (1 curve)	1	2- 13+ 79-	2- -2  0  3 -2 13+ -8  2
Curve Equation t Generators 65728s1 [0,1,0,-133,-669] 1 [996:2283:64]
65728t (1 curve)	1	2- 13- 79+	2-  0  0 -1  4 13- -4  0
Curve Equation t Generators 65728t1 [0,0,0,10,2] 1 [2:17:8]
65728u (1 curve)	1	2- 13- 79+	2-  0  1  1  3 13-  6  0
Curve Equation t Generators 65728u1 [0,0,0,-172,-912] 1 [2920:11052:125]
65728v (1 curve)	1	2- 13- 79+	2-  0  1 -1 -5 13-  6  0
Curve Equation t Generators 65728v1 [0,0,0,2708,5644368] 1 [-2655:295203:125]
65728w (2 curves)	1	2- 13- 79+	2-  0  2 -2  0 13- -6  0
Curve Equation t Generators 65728w1 [0,0,0,-1004,16720] 2 [12:80:1] 65728w2 [0,0,0,-17644,901968] 2 [-3036:81765:64]
65728x (1 curve)	1	2- 13- 79+	2-  0 -3  3 -5 13- -6  0
Curve Equation t Generators 65728x1 [0,0,0,-74248684,-246252843696] 1 [459047475484229:259170362347775541:1439069689]
65728y (1 curve)	1	2- 13- 79+	2-  0 -3  5 -5 13-  2  0
Curve Equation t Generators 65728y1 [0,0,0,-11699884,15406349424] 1 [1960:2028:1]
65728z (2 curves)	1	2- 13- 79+	2- -2 -2  2  4 13- -2 -4
Curve Equation t Generators 65728z1 [0,1,0,-23329,1384671] 2 [31:832:1] 65728z2 [0,1,0,-374849,88210111] 2 [369:520:1]
65728ba (2 curves)	1	2- 13- 79+	2- -2 -2  2 -4 13-  6  4
Curve Equation t Generators 65728ba1 [0,1,0,71,-249] 2 [5:16:1] 65728ba2 [0,1,0,-449,-2849] 2 [57:400:1]
65728bb (1 curve)	2	2- 13- 79-	2-  0  0  1 -4 13- -4  0
Curve Equation t Generators 65728bb1 [0,0,0,10,-2] 1 [1:3:1]&[57:431:1]
65728bc (1 curve)	2	2- 13- 79-	2-  0  1 -1 -3 13-  6  0
Curve Equation t Generators 65728bc1 [0,0,0,-172,912] 1 [-14:24:1]&[2:24:1]
65728bd (1 curve)	2	2- 13- 79-	2-  0 -3 -5  5 13-  2  0
Curve Equation t Generators 65728bd1 [0,0,0,-11699884,-15406349424] 1 [4098:73944:1]&[5125:243399:1]
65728be (2 curves)	0	2- 13- 79-	2-  2 -2 -2  4 13-  6 -4
Curve Equation t 65728be1 [0,-1,0,71,249] 2 65728be2 [0,-1,0,-449,2849] 2
65728bf (2 curves)	0	2- 13- 79-	2- -2  2  4  4 13-  6  8
Curve Equation t 65728bf1 [0,1,0,-1697,32095] 2 65728bf2 [0,1,0,-28737,1865407] 2

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