Cremona's table of elliptic curves

8256 = 2⁶ · 3 · 43

Class	r	Atkin-Lehner	Eigenvalues
8256a (2 curves)	1	2+ 3+ 43+	2+ 3+  0  0  2 -6  6 -4
Curve Equation t Generators 8256a1 [0,-1,0,-53,-171] 2 [396:7869:1] 8256a2 [0,-1,0,-913,-10319] 2 [37:72:1]
8256b (1 curve)	1	2+ 3+ 43+	2+ 3+  0 -2  1 -3  3  8
Curve Equation t Generators 8256b1 [0,-1,0,-103,769] 1 [40:243:1]
8256c (2 curves)	1	2+ 3+ 43+	2+ 3+  1  1 -5  7  4  1
Curve Equation t Generators 8256c1 [0,-1,0,10175,879169] 1 [-1653:4096:27] 8256c2 [0,-1,0,-3833665,-2888210111] 1 [795988288515:27669832988608:275894451]
8256d (1 curve)	1	2+ 3+ 43+	2+ 3+ -1  1  5  5  2 -1
Curve Equation t Generators 8256d1 [0,-1,0,-16,34] 1 [3:2:1]
8256e (2 curves)	1	2+ 3+ 43+	2+ 3+ -2 -2  4 -2 -2  4
Curve Equation t Generators 8256e1 [0,-1,0,-129,129] 2 [-1:16:1] 8256e2 [0,-1,0,511,513] 2 [1:32:1]
8256f (1 curve)	1	2+ 3+ 43+	2+ 3+  3  1  1 -3 -6 -1
Curve Equation t Generators 8256f1 [0,-1,0,-165024,-25822638] 1 [1277734291834224503477:-5901276858418927215009866:59900390141383]
8256g (1 curve)	1	2+ 3+ 43+	2+ 3+  3 -3 -3 -1  4 -3
Curve Equation t Generators 8256g1 [0,-1,0,-449,-3519] 1 [25:16:1]
8256h (1 curve)	1	2+ 3+ 43+	2+ 3+  3 -3  5  3  0 -7
Curve Equation t Generators 8256h1 [0,-1,0,-929,12321] 1 [25:64:1]
8256i (2 curves)	1	2+ 3+ 43+	2+ 3+ -3  5  3  1 -6  7
Curve Equation t Generators 8256i1 [0,-1,0,-177,-5679] 1 [47:296:1] 8256i2 [0,-1,0,-30417,-2031759] 1 [327593:9936424:343]
8256j (4 curves)	0	2+ 3+ 43-	2+ 3+ -2  0  0  2 -6 -4
Curve Equation t 8256j1 [0,-1,0,-1569,-23391] 2 8256j2 [0,-1,0,-1889,-12831] 4 8256j3 [0,-1,0,-15649,749473] 2 8256j4 [0,-1,0,6751,-104415] 2
8256k (2 curves)	0	2+ 3+ 43-	2+ 3+ -2 -2  0  6  6  4
Curve Equation t 8256k1 [0,-1,0,-169,-791] 2 8256k2 [0,-1,0,-129,-1215] 2
8256l (1 curve)	0	2+ 3+ 43-	2+ 3+  4  2 -1  5  3  4
Curve Equation t 8256l1 [0,-1,0,-391,-2867] 1
8256m (2 curves)	0	2+ 3- 43+	2+ 3-  2  2  0 -2  6 -4
Curve Equation t 8256m1 [0,1,0,-122657,16465215] 2 8256m2 [0,1,0,-81697,27680063] 2
8256n (1 curve)	0	2+ 3- 43+	2+ 3-  2  2  3  1 -3  2
Curve Equation t 8256n1 [0,1,0,43,-333] 1
8256o (2 curves)	0	2+ 3- 43+	2+ 3- -2  2  0  6  6 -4
Curve Equation t 8256o1 [0,1,0,-169,791] 2 8256o2 [0,1,0,-129,1215] 2
8256p (1 curve)	0	2+ 3- 43+	2+ 3-  4 -2  1  5  3 -4
Curve Equation t 8256p1 [0,1,0,-391,2867] 1
8256q (1 curve)	1	2+ 3- 43-	2+ 3-  0  2 -1 -3  3 -8
Curve Equation t Generators 8256q1 [0,1,0,-103,-769] 1 [14:27:1]
8256r (1 curve)	1	2+ 3- 43-	2+ 3-  1 -1 -3  3  0 -5
Curve Equation t Generators 8256r1 [0,1,0,95,-193] 1 [11:48:1]
8256s (1 curve)	1	2+ 3- 43-	2+ 3- -1 -1 -5  5  2  1
Curve Equation t Generators 8256s1 [0,1,0,-16,-34] 1 [5:6:1]
8256t (1 curve)	1	2+ 3- 43-	2+ 3- -1  3 -1 -1 -4 -5
Curve Equation t Generators 8256t1 [0,1,0,-1601,163743] 1 [163:2064:1]
8256u (1 curve)	1	2+ 3- 43-	2+ 3- -1 -5 -1  3  0  7
Curve Equation t Generators 8256u1 [0,1,0,159,-2049] 1 [83:768:1]
8256v (1 curve)	1	2+ 3- 43-	2+ 3-  2 -2  5 -3 -3 -2
Curve Equation t Generators 8256v1 [0,1,0,-77,237] 1 [4:3:1]
8256w (4 curves)	1	2+ 3- 43-	2+ 3-  2  4 -4 -6 -6  4
Curve Equation t Generators 8256w1 [0,1,0,-1537,-15265] 2 [-14245:11400:1331] 8256w2 [0,1,0,-22017,-1264545] 4 [42145986757:114300595200:241804367] 8256w3 [0,1,0,-352257,-80588193] 2 [610609050522387350:-86751881651828547363:30225545875000] 8256w4 [0,1,0,-19457,-1567137] 4 [80794:22965225:1]
8256x (1 curve)	1	2+ 3- 43-	2+ 3-  3 -1 -1 -3 -6  1
Curve Equation t Generators 8256x1 [0,1,0,-165024,25822638] 1 [261:774:1]
8256y (1 curve)	1	2+ 3- 43-	2+ 3- -3 -1  1 -1  4 -1
Curve Equation t Generators 8256y1 [0,1,0,-2823937,1825638239] 1 [1739:46656:1]
8256z (1 curve)	1	2+ 3- 43-	2+ 3- -3 -1  1 -7 -2  5
Curve Equation t Generators 8256z1 [0,1,0,-17,-81] 1 [9:24:1]
8256ba (2 curves)	0	2- 3+ 43+	2- 3+  0  0 -2  2 -2  4
Curve Equation t 8256ba1 [0,-1,0,-48,126] 2 8256ba2 [0,-1,0,87,585] 2
8256bb (1 curve)	0	2- 3+ 43+	2- 3+  1  1  3  3  0  5
Curve Equation t 8256bb1 [0,-1,0,95,193] 1
8256bc (1 curve)	0	2- 3+ 43+	2- 3+ -1 -3  1 -1 -4  5
Curve Equation t 8256bc1 [0,-1,0,-1601,-163743] 1
8256bd (1 curve)	0	2- 3+ 43+	2- 3+ -1  5  1  3  0 -7
Curve Equation t 8256bd1 [0,-1,0,159,2049] 1
8256be (1 curve)	0	2- 3+ 43+	2- 3+  2  2 -5 -3 -3  2
Curve Equation t 8256be1 [0,-1,0,-77,-237] 1
8256bf (4 curves)	0	2- 3+ 43+	2- 3+  2 -4  4 -6 -6 -4
Curve Equation t 8256bf1 [0,-1,0,-1537,15265] 2 8256bf2 [0,-1,0,-22017,1264545] 4 8256bf3 [0,-1,0,-352257,80588193] 4 8256bf4 [0,-1,0,-19457,1567137] 2
8256bg (1 curve)	0	2- 3+ 43+	2- 3+ -3  1 -1 -1  4  1
Curve Equation t 8256bg1 [0,-1,0,-2823937,-1825638239] 1
8256bh (1 curve)	2	2- 3+ 43+	2- 3+ -3  1 -1 -7 -2 -5
Curve Equation t Generators 8256bh1 [0,-1,0,-17,81] 1 [-5:4:1]&[1:8:1]
8256bi (1 curve)	1	2- 3+ 43-	2- 3+  0  2  3  1 -1  0
Curve Equation t Generators 8256bi1 [0,-1,0,-3,9] 1 [0:3:1]
8256bj (2 curves)	1	2- 3+ 43-	2- 3+  2 -2  0 -2  6  4
Curve Equation t Generators 8256bj1 [0,-1,0,-122657,-16465215] 2 [10680242725:-8830012055552:15625] 8256bj2 [0,-1,0,-81697,-27680063] 2 [6111525:3555584:15625]
8256bk (1 curve)	1	2- 3+ 43-	2- 3+  2 -2 -3  1 -3 -2
Curve Equation t Generators 8256bk1 [0,-1,0,43,333] 1 [-4:9:1]
8256bl (1 curve)	1	2- 3- 43+	2- 3-  0 -2 -3  1 -1  0
Curve Equation t Generators 8256bl1 [0,1,0,-3,-9] 1 [6:15:1]
8256bm (4 curves)	1	2- 3- 43+	2- 3- -2  0  0  2 -6  4
Curve Equation t Generators 8256bm1 [0,1,0,-1569,23391] 2 [-9:192:1] 8256bm2 [0,1,0,-1889,12831] 4 [-11:180:1] 8256bm3 [0,1,0,-15649,-749473] 2 [-73:96:1] 8256bm4 [0,1,0,6751,104415] 2 [85:1140:1]
8256bn (2 curves)	0	2- 3- 43-	2- 3-  0  0  2  2 -2 -4
Curve Equation t 8256bn1 [0,1,0,-48,-126] 2 8256bn2 [0,1,0,87,-585] 2
8256bo (2 curves)	0	2- 3- 43-	2- 3-  0  0 -2 -6  6  4
Curve Equation t 8256bo1 [0,1,0,-53,171] 2 8256bo2 [0,1,0,-913,10319] 2
8256bp (2 curves)	0	2- 3- 43-	2- 3-  1 -1  5  7  4 -1
Curve Equation t 8256bp1 [0,1,0,10175,-879169] 1 8256bp2 [0,1,0,-3833665,2888210111] 1
8256bq (2 curves)	0	2- 3- 43-	2- 3- -2  2 -4 -2 -2 -4
Curve Equation t 8256bq1 [0,1,0,-129,-129] 2 8256bq2 [0,1,0,511,-513] 2
8256br (1 curve)	0	2- 3- 43-	2- 3-  3  3  3 -1  4  3
Curve Equation t 8256br1 [0,1,0,-449,3519] 1
8256bs (1 curve)	0	2- 3- 43-	2- 3-  3  3 -5  3  0  7
Curve Equation t 8256bs1 [0,1,0,-929,-12321] 1
8256bt (2 curves)	2	2- 3- 43-	2- 3- -3 -5 -3  1 -6 -7
Curve Equation t Generators 8256bt1 [0,1,0,-177,5679] 1 [75:648:1]&[-15:72:1] 8256bt2 [0,1,0,-30417,2031759] 1 [-189:1032:1]&[33:1032:1]

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