Cremona's table of elliptic curves

117208 = 2³ · 7² · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
117208a (1 curve)	1	2+ 7+ 13- 23-	2+ -2  0 7+ -5 13-  5 -1
Curve Equation t Generators 117208a1 [0,1,0,-408,6880] 1 [-4:92:1]
117208b (1 curve)	2	2+ 7- 13+ 23+	2+  0  0 7- -3 13+  3 -2
Curve Equation t Generators 117208b1 [0,0,0,-140,-588] 1 [-7:7:1]&[-6:6:1]
117208c (1 curve)	0	2+ 7- 13+ 23+	2+  3  1 7- -3 13+ -2  5
Curve Equation t 117208c1 [0,0,0,10388,80948] 1
117208d (4 curves)	1	2+ 7- 13+ 23-	2+  0  2 7-  4 13+  2 -4
Curve Equation t Generators 117208d1 [0,0,0,-7154,-406455] 2 [565048:11377295:1331] 117208d2 [0,0,0,-136759,-19458390] 4 [46385356765:585057138240:91733851] 117208d3 [0,0,0,-159299,-12610738] 2 [-127288:1745821:512] 117208d4 [0,0,0,-2187899,-1245629882] 2 [38057630469887879598:-2770889420595634050320:6651778676096763]
117208e (1 curve)	1	2+ 7- 13+ 23-	2+ -1  3 7- -5 13+  4 -5
Curve Equation t Generators 117208e1 [0,-1,0,-53769,-7207283] 1 [369:4802:1]
117208f (1 curve)	1	2+ 7- 13+ 23-	2+  2  0 7- -5 13+ -5  1
Curve Equation t Generators 117208f1 [0,-1,0,-20008,-2399844] 1 [25440954:660427244:35937]
117208g (1 curve)	1	2+ 7- 13- 23+	2+  0  0 7- -3 13- -3  2
Curve Equation t Generators 117208g1 [0,0,0,-6860,201684] 1 [98:-686:1]
117208h (1 curve)	1	2+ 7- 13- 23+	2+ -1  3 7-  3 13-  0  3
Curve Equation t Generators 117208h1 [0,-1,0,1111,-28979] 1 [75:686:1]
117208i (1 curve)	1	2+ 7- 13- 23+	2+ -2  2 7- -5 13-  7  0
Curve Equation t Generators 117208i1 [0,1,0,-11539304457,477105059934523] 1 [61679:146510:1]
117208j (1 curve)	2	2+ 7- 13- 23-	2+ -2  0 7- -1 13-  5  0
Curve Equation t Generators 117208j1 [0,1,0,-15536593,23565980787] 1 [2291:-1274:1]&[-1349:205114:1]
117208k (1 curve)	1	2- 7+ 13- 23+	2- -3  2 7+ -1 13- -6  5
Curve Equation t Generators 117208k1 [0,0,0,686,-2388995] 1 [170:1625:1]
117208l (1 curve)	1	2- 7- 13+ 23+	2-  2 -2 7- -3 13+ -5  8
Curve Equation t Generators 117208l1 [0,-1,0,-57689,4946285] 1 [103:294:1]
117208m (1 curve)	1	2- 7- 13+ 23+	2- -2  2 7- -1 13+ -3 -4
Curve Equation t Generators 117208m1 [0,1,0,-8297,83467] 1 [9:98:1]
117208n (1 curve)	1	2- 7- 13+ 23+	2-  3 -2 7- -1 13+  6 -5
Curve Equation t Generators 117208n1 [0,0,0,14,6965] 1 [822:5095:27]
117208o (2 curves)	0	2- 7- 13+ 23-	2-  0  0 7-  4 13+  6 -6
Curve Equation t 117208o1 [0,0,0,-1715,-2924418] 2 117208o2 [0,0,0,-317275,-67866666] 2
117208p (1 curve)	2	2- 7- 13+ 23-	2-  1  1 7- -5 13+  2 -7
Curve Equation t Generators 117208p1 [0,1,0,-23585,-1419853] 1 [317:-4802:1]&[69879:3549266:27]
117208q (1 curve)	0	2- 7- 13+ 23-	2-  1 -1 7-  5 13+  6 -1
Curve Equation t 117208q1 [0,1,0,-144321,-21769357] 1
117208r (4 curves)	0	2- 7- 13- 23+	2-  0  2 7-  0 13- -2 -4
Curve Equation t 117208r1 [0,0,0,-444479,-114057790] 2 117208r2 [0,0,0,-445459,-113529570] 4 117208r3 [0,0,0,-129899,-271246458] 2 117208r4 [0,0,0,-776699,77993398] 2
117208s (2 curves)	1	2- 7- 13- 23-	2-  0  0 7-  4 13- -6  6
Curve Equation t Generators 117208s1 [0,0,0,-35,8526] 2 [2:92:1] 117208s2 [0,0,0,-6475,197862] 2 [58:132:1]
117208t (1 curve)	1	2- 7- 13- 23-	2-  1  1 7-  2 13- -7  0
Curve Equation t Generators 117208t1 [0,1,0,14880,405152] 1 [1411:53222:1]

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