Cremona's table of elliptic curves

51842 = 2 · 7² · 23²

Class	r	Atkin-Lehner	Eigenvalues
51842a (2 curves)	1	2+ 7- 23-	2+  0  0 7-  4  2  4  4
Curve Equation t Generators 51842a1 [1,-1,0,-186307,-620859387] 2 [2677164492246016467:-167056462264461596394:682890134570981] 51842a2 [1,-1,0,-12109967,-16071538015] 2 [-2394690709:-12683066901:1225043]
51842b (2 curves)	1	2+ 7- 23-	2+  0  0 7- -4  2 -4 -4
Curve Equation t Generators 51842b1 [1,-1,0,-352,51120] 2 [9:216:1] 51842b2 [1,-1,0,-22892,1326884] 2 [-5:1203:1]
51842c (2 curves)	1	2+ 7- 23-	2+  0 -2 7-  4 -4 -8 -2
Curve Equation t Generators 51842c1 [1,-1,0,-212228,175200444] 2 [374:-12354:1] 51842c2 [1,-1,0,-6174058,5887825950] 2 [-2833:26627:1]
51842d (2 curves)	1	2+ 7- 23-	2+  0  4 7- -2  2 -2 -2
Curve Equation t Generators 51842d1 [1,-1,0,-264070,-60576972] 2 [90750850323433505:-2320089871829730967:93855196496125] 51842d2 [1,-1,0,-4411430,-3565096172] 2 [-4017777699:1084697522:3307949]
51842e (6 curves)	1	2+ 7- 23-	2+  2  0 7-  0  4  6  2
Curve Equation t Generators 51842e1 [1,1,0,-13500,1216412] 2 [59:764:1] 51842e2 [1,1,0,-272710,54665514] 2 [-477:8985:1] 51842e3 [1,1,0,116105,-25508139] 2 [11742:454359:8] 51842e4 [1,1,0,-920735,-279119203] 2 [43956930:1338860281:27000] 51842e5 [1,1,0,-4420070,-3588945772] 2 [148505764102:-33569930741:61162984] 51842e6 [1,1,0,-70777830,-229218601324] 2 [82180521696326884890:-1639770250830753180840187:206425071000]
51842f (2 curves)	1	2+ 7- 23-	2+  2  2 7-  0  0 -2  4
Curve Equation t Generators 51842f1 [1,1,0,-5560594,5056226148] 2 [1940946:104504721:2744] 51842f2 [1,1,0,-89026214,323277248960] 2 [76454340647958:-258564983204989:13720578984]
51842g (2 curves)	1	2+ 7- 23-	2+  2  3 7- -6  1  6  2
Curve Equation t Generators 51842g1 [1,1,0,24,-748] 1 [8:2:1] 51842g2 [1,1,0,-5611,-164163] 1 [12270:55473:125]
51842h (2 curves)	1	2+ 7- 23-	2+  2 -3 7-  6  1 -6 -2
Curve Equation t Generators 51842h1 [1,1,0,12421,9226001] 1 [220:4651:1] 51842h2 [1,1,0,-2968494,1967687156] 1 [1004:290:1]
51842i (2 curves)	1	2+ 7- 23-	2+ -2  0 7- -4  0  6 -6
Curve Equation t Generators 51842i1 [1,0,1,893734,1529837964] 2 [-15441:786395:27] 51842i2 [1,0,1,-15695706,22405989260] 2 [1026:85408:1]
51842j (2 curves)	1	2+ 7- 23-	2+ -2 -2 7-  0  0  2 -4
Curve Equation t Generators 51842j1 [1,0,1,-113482,-14757396] 2 [412:2703:1] 51842j2 [1,0,1,-1816862,-942758820] 2 [15224:1863196:1]
51842k (1 curve)	1	2+ 7- 23-	2+ -3  2 7- -4 -4 -1 -7
Curve Equation t Generators 51842k1 [1,-1,0,-30781,-2073275] 1 [653:15672:1]
51842l (1 curve)	1	2+ 7- 23-	2+ -3 -2 7-  4 -4  1  7
Curve Equation t Generators 51842l1 [1,-1,0,-16283248,25323236224] 1 [1059:95731:1]
51842m (1 curve)	0	2- 7- 23-	2-  1  4 7-  0 -2 -5  7
Curve Equation t 51842m1 [1,0,0,1714,-12412] 1
51842n (1 curve)	0	2- 7- 23-	2-  1 -4 7-  0 -2  5 -7
Curve Equation t 51842n1 [1,0,0,906695,152830201] 1
51842o (2 curves)	0	2- 7- 23-	2-  2 -2 7-  2  4 -6  0
Curve Equation t 51842o1 [1,1,1,-363434,21415351] 2 51842o2 [1,1,1,-4510794,3681045815] 2
51842p (2 curves)	0	2- 7- 23-	2- -2 -2 7- -6  4 -2  4
Curve Equation t 51842p1 [1,0,0,-104224,11897724] 2 51842p2 [1,0,0,-363434,-70893950] 2

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