Cremona's table of elliptic curves

129584 = 2⁴ · 7 · 13 · 89

Class	r	Atkin-Lehner	Eigenvalues
129584a (4 curves)	1	2+ 7+ 13+ 89+	2+  0  2 7+  0 13+  2 -4
Curve Equation t Generators 129584a1 [0,0,0,-1154,-102905] 2 [2386655902286085635019147525:-22251871342215030464770886776:22354576046828067760171875] 129584a2 [0,0,0,-40759,-3152490] 4 [-115539043382075:-115050764339184:977668328125] 129584a3 [0,0,0,-63899,832218] 2 [-96475:17304436:15625] 129584a4 [0,0,0,-651299,-202310638] 2 [-366324197450597870641948534700:-913924032144849397107277599:786292897529450033477000000]
129584b (1 curve)	2	2+ 7+ 13+ 89-	2+ -1  1 7+  0 13+ -3  1
Curve Equation t Generators 129584b1 [0,-1,0,-40,-1312] 1 [13:14:1]&[14:26:1]
129584c (1 curve)	2	2+ 7+ 13+ 89-	2+ -1 -2 7+ -3 13+ -6 -2
Curve Equation t Generators 129584c1 [0,-1,0,-25704,1594768] 1 [-96:1780:1]&[82:178:1]
129584d (1 curve)	2	2+ 7- 13- 89-	2+ -1  0 7-  1 13- -8 -2
Curve Equation t Generators 129584d1 [0,-1,0,18312,639376] 1 [-32:140:1]&[45:1246:1]
129584e (1 curve)	0	2- 7+ 13+ 89+	2-  1 -1 7+  2 13+  3  3
Curve Equation t 129584e1 [0,1,0,-2616,-157612] 1
129584f (1 curve)	0	2- 7+ 13+ 89+	2-  3 -1 7+  2 13+ -5  1
Curve Equation t 129584f1 [0,0,0,7757,530546] 1
129584g (4 curves)	1	2- 7+ 13+ 89-	2-  0 -2 7+ -4 13+  2  0
Curve Equation t Generators 129584g1 [0,0,0,-1643771,421644330] 2 [-817:34918:1] 129584g2 [0,0,0,-22615291,41379022890] 4 [200966265:-198115921920:1030301] 129584g3 [0,0,0,-18969851,55163889706] 2 [246877239574397:109019523172452270:507978574739] 129584g4 [0,0,0,-361805051,2648866383914] 4 [781:1538432:1]
129584h (1 curve)	1	2- 7+ 13+ 89-	2- -1  2 7+ -3 13+ -2 -2
Curve Equation t Generators 129584h1 [0,-1,0,-154792,-28605712] 1 [480712:13081843:512]
129584i (1 curve)	1	2- 7+ 13+ 89-	2-  3 -2 7+  5 13+  2  6
Curve Equation t Generators 129584i1 [0,0,0,29,7394] 1 [-42:2314:27]
129584j (2 curves)	1	2- 7+ 13- 89+	2- -1  3 7+  0 13- -3  1
Curve Equation t Generators 129584j1 [0,-1,0,-47164,-3926884] 1 [421257395:5532869888:1225043] 129584j2 [0,-1,0,-9924,-9944084] 1 [825:23296:1]
129584k (2 curves)	1	2- 7+ 13- 89+	2- -2 -2 7+ -6 13-  2  4
Curve Equation t Generators 129584k1 [0,1,0,-369,2590] 2 [-6:68:1] 129584k2 [0,1,0,-124,6216] 2 [31:182:1]
129584l (1 curve)	0	2- 7+ 13- 89-	2-  1  4 7+ -3 13- -6 -4
Curve Equation t 129584l1 [0,1,0,77384,23197012] 1
129584m (2 curves)	2	2- 7+ 13- 89-	2- -1 -3 7+  0 13- -3  1
Curve Equation t Generators 129584m1 [0,-1,0,26448,-904256] 1 [34:182:1]&[138:-2314:1] 129584m2 [0,-1,0,-286832,73667776] 1 [-4550:-57967:8]&[26:8138:1]
129584n (1 curve)	0	2- 7+ 13- 89-	2- -3  2 7+  0 13-  4  2
Curve Equation t 129584n1 [0,0,0,-49024,-4719440] 1
129584o (1 curve)	1	2- 7- 13+ 89+	2- -1  0 7-  1 13+  2  4
Curve Equation t Generators 129584o1 [0,-1,0,-15807288,34082943856] 1 [6282:427378:1]
129584p (1 curve)	0	2- 7- 13+ 89-	2-  1  2 7- -3 13+  8 -4
Curve Equation t 129584p1 [0,1,0,3208,67028] 1
129584q (1 curve)	0	2- 7- 13- 89+	2-  1  0 7- -1 13-  6  0
Curve Equation t 129584q1 [0,1,0,-10288,-405164] 1
129584r (1 curve)	0	2- 7- 13- 89+	2-  1  3 7-  6 13- -3  7
Curve Equation t 129584r1 [0,1,0,-124,808] 1
129584s (1 curve)	1	2- 7- 13- 89-	2-  1 -3 7-  4 13- -3  3
Curve Equation t Generators 129584s1 [0,1,0,-38032,-3172076] 1 [564:12454:1]
129584t (1 curve)	1	2- 7- 13- 89-	2- -1  2 7-  0 13-  4  6
Curve Equation t Generators 129584t1 [0,-1,0,-117,-455] 1 [1083:6490:27]

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