Cremona's table of elliptic curves

116688 = 2⁴ · 3 · 11 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
116688a (1 curve)	1	2+ 3+ 11+ 13- 17-	2+ 3+  2 -1 11+ 13- 17-  6
Curve Equation t Generators 116688a1 [0,-1,0,504543,3913533] 1 [19578:1008423:8]
116688b (2 curves)	0	2+ 3+ 11- 13+ 17+	2+ 3+ -4  2 11- 13+ 17+ -4
Curve Equation t 116688b1 [0,-1,0,-47610480,77268656016] 2 116688b2 [0,-1,0,145461880,545276056656] 2
116688c (2 curves)	1	2+ 3+ 11- 13- 17+	2+ 3+  2  2 11- 13- 17+  4
Curve Equation t Generators 116688c1 [0,-1,0,-507,5070] 2 [10:30:1] 116688c2 [0,-1,0,-8372,297648] 2 [36:204:1]
116688d (2 curves)	1	2+ 3+ 11- 13- 17+	2+ 3+ -2  2 11- 13- 17+  0
Curve Equation t Generators 116688d1 [0,-1,0,-76219,-12738206] 2 [374:3306:1] 116688d2 [0,-1,0,-1405404,-640645200] 2 [-692:204:1]
116688e (1 curve)	1	2+ 3- 11+ 13- 17+	2+ 3-  2  3 11+ 13- 17+  0
Curve Equation t Generators 116688e1 [0,1,0,-177112,-42771772] 1 [632:9906:1]
116688f (4 curves)	0	2+ 3- 11+ 13- 17-	2+ 3-  2  0 11+ 13- 17-  0
Curve Equation t 116688f1 [0,1,0,-8843367,7126657668] 2 116688f2 [0,1,0,-129531212,567311359020] 4 116688f3 [0,1,0,-117641752,675681409028] 4 116688f4 [0,1,0,-2072426192,36312693201060] 2
116688g (4 curves)	0	2+ 3- 11- 13+ 17-	2+ 3- -2  4 11- 13+ 17- -8
Curve Equation t 116688g1 [0,1,0,-2244,-38148] 2 116688g2 [0,1,0,-8024,232356] 4 116688g3 [0,1,0,14416,1318452] 2 116688g4 [0,1,0,-122944,16550996] 4
116688h (2 curves)	0	2+ 3- 11- 13- 17+	2+ 3-  2 -2 11- 13- 17+  4
Curve Equation t 116688h1 [0,1,0,-507,4212] 2 116688h2 [0,1,0,-252,8700] 2
116688i (1 curve)	1	2+ 3- 11- 13- 17-	2+ 3-  2 -5 11- 13- 17-  8
Curve Equation t Generators 116688i1 [0,1,0,-25552,-1580668] 1 [26584:4334418:1]
116688j (1 curve)	0	2- 3+ 11+ 13+ 17+	2- 3+  2 -1 11+ 13+ 17+  4
Curve Equation t 116688j1 [0,-1,0,88,-4752] 1
116688k (2 curves)	0	2- 3+ 11+ 13+ 17+	2- 3+ -4  2 11+ 13+ 17+  4
Curve Equation t 116688k1 [0,-1,0,-631320,-165133584] 2 116688k2 [0,-1,0,1099240,-912735504] 2
116688l (2 curves)	1	2- 3+ 11+ 13+ 17-	2- 3+  4  0 11+ 13+ 17- -2
Curve Equation t Generators 116688l1 [0,-1,0,-1496,16368] 2 [-38:130:1] 116688l2 [0,-1,0,3944,103408] 2 [802:22770:1]
116688m (4 curves)	0	2- 3+ 11+ 13- 17-	2- 3+  0  4 11+ 13- 17- -2
Curve Equation t 116688m1 [0,-1,0,-1605208,-506351120] 2 116688m2 [0,-1,0,4683432,-3504774672] 2 116688m3 [0,-1,0,-52723528,147344310256] 2 116688m4 [0,-1,0,-47152968,179689209840] 2
116688n (1 curve)	0	2- 3+ 11- 13+ 17-	2- 3+  0 -5 11- 13+ 17-  6
Curve Equation t 116688n1 [0,-1,0,12,60] 1
116688o (2 curves)	0	2- 3+ 11- 13- 17+	2- 3+  0  1 11- 13- 17+ -2
Curve Equation t 116688o1 [0,-1,0,-4039828,-3123958916] 1 116688o2 [0,-1,0,-4032748,-3135461492] 1
116688p (2 curves)	0	2- 3+ 11- 13- 17+	2- 3+  0  1 11- 13- 17+ -2
Curve Equation t 116688p1 [0,-1,0,185692,7748988] 1 116688p2 [0,-1,0,-2973308,2047856460] 1
116688q (2 curves)	0	2- 3+ 11- 13- 17+	2- 3+  0  2 11- 13- 17+  6
Curve Equation t 116688q1 [0,-1,0,-813,6264] 2 116688q2 [0,-1,0,-5148,-135924] 2
116688r (1 curve)	0	2- 3+ 11- 13- 17+	2- 3+  1 -1 11- 13- 17+ -8
Curve Equation t 116688r1 [0,-1,0,-37720,-5870096] 1
116688s (4 curves)	0	2- 3+ 11- 13- 17+	2- 3+  2  0 11- 13- 17+ -4
Curve Equation t 116688s1 [0,-1,0,9888,251712] 2 116688s2 [0,-1,0,-48432,2257920] 4 116688s3 [0,-1,0,-357312,-80521920] 2 116688s4 [0,-1,0,-672672,212501952] 4
116688t (2 curves)	0	2- 3+ 11- 13- 17+	2- 3+  4  4 11- 13- 17+  2
Curve Equation t 116688t1 [0,-1,0,-88561,10173628] 2 116688t2 [0,-1,0,-87796,10357228] 2
116688u (2 curves)	1	2- 3- 11+ 13+ 17+	2- 3-  0  4 11+ 13+ 17+ -2
Curve Equation t Generators 116688u1 [0,1,0,-1349408,602853876] 2 [154:19968:1] 116688u2 [0,1,0,-1262368,684079604] 2 [188:21294:1]
116688v (1 curve)	0	2- 3- 11+ 13+ 17-	2- 3- -2  1 11+ 13+ 17- -8
Curve Equation t 116688v1 [0,1,0,-5802904,-5662720108] 1
116688w (2 curves)	0	2- 3- 11+ 13- 17+	2- 3-  0  0 11+ 13- 17+ -6
Curve Equation t 116688w1 [0,1,0,-6703066448,-45095778953004] 2 116688w2 [0,1,0,26124027392,-356388544418956] 2
116688x (2 curves)	2	2- 3- 11+ 13- 17+	2- 3-  0 -2 11+ 13- 17+ -4
Curve Equation t Generators 116688x1 [0,1,0,-48328,3703412] 2 [-244:1014:1]&[68:858:1] 116688x2 [0,1,0,59832,18023796] 2 [174:-5808:1]&[-114:3120:1]
116688y (4 curves)	0	2- 3- 11+ 13- 17+	2- 3- -2  0 11+ 13- 17+ -8
Curve Equation t 116688y1 [0,1,0,14325376,2291499603636] 2 116688y2 [0,1,0,-2523228544,47840592467636] 4 116688y3 [0,1,0,-5492869504,-86174552631628] 2 116688y4 [0,1,0,-40154450304,3097038281725620] 4
116688z (1 curve)	0	2- 3- 11+ 13- 17+	2- 3- -2  3 11+ 13- 17+  4
Curve Equation t 116688z1 [0,1,0,-824,-29100] 1
116688ba (1 curve)	1	2- 3- 11+ 13- 17-	2- 3- -1 -3 11+ 13- 17-  0
Curve Equation t Generators 116688ba1 [0,1,0,18304,678694068] 1 [106:-26112:1]
116688bb (2 curves)	1	2- 3- 11+ 13- 17-	2- 3-  2  0 11+ 13- 17-  0
Curve Equation t Generators 116688bb1 [0,1,0,-137,570] 2 [-152214:267240:12167] 116688bb2 [0,1,0,-52,1352] 2 [273:1196:27]
116688bc (1 curve)	1	2- 3- 11+ 13- 17-	2- 3- -2  3 11+ 13- 17- -6
Curve Equation t Generators 116688bc1 [0,1,0,-256789,50225327] 1 [359:2106:1]
116688bd (1 curve)	1	2- 3- 11- 13+ 17-	2- 3-  1 -3 11- 13+ 17-  4
Curve Equation t Generators 116688bd1 [0,1,0,3600,-60588] 1 [42:-408:1]
116688be (2 curves)	1	2- 3- 11- 13- 17+	2- 3-  0 -4 11- 13- 17+  2
Curve Equation t Generators 116688be1 [0,1,0,-473,3630] 2 [22:66:1] 116688be2 [0,1,0,292,14952] 2 [31:234:1]
116688bf (2 curves)	0	2- 3- 11- 13- 17-	2- 3-  0  4 11- 13- 17-  2
Curve Equation t 116688bf1 [0,1,0,-1768,27764] 2 116688bf2 [0,1,0,-408,70740] 2
116688bg (1 curve)	0	2- 3- 11- 13- 17-	2- 3-  4  3 11- 13- 17- -6
Curve Equation t 116688bg1 [0,1,0,-2436,-51048] 1

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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