Cremona's table of elliptic curves

52998 = 2 · 3 · 11² · 73

Class	r	Atkin-Lehner	Eigenvalues
52998a (1 curve)	0	2+ 3+ 11- 73+	2+ 3+ -1  4 11-  5 -3  4
Curve Equation t 52998a1 [1,1,0,95027,6502621] 1
52998b (4 curves)	0	2+ 3+ 11- 73+	2+ 3+ -2  4 11-  2  6  4
Curve Equation t 52998b1 [1,1,0,-2301,-34371] 2 52998b2 [1,1,0,-11981,470925] 4 52998b3 [1,1,0,9799,2017305] 2 52998b4 [1,1,0,-188641,31457089] 2
52998c (2 curves)	0	2+ 3+ 11- 73+	2+ 3+ -4 -2 11- -4  6  4
Curve Equation t 52998c1 [1,1,0,-19362,-950220] 2 52998c2 [1,1,0,24198,-4565700] 2
52998d (1 curve)	1	2+ 3+ 11- 73-	2+ 3+  2  2 11- -3 -6 -6
Curve Equation t Generators 52998d1 [1,1,0,-244,3502] 1 [21:80:1]
52998e (1 curve)	1	2+ 3+ 11- 73-	2+ 3+  2  2 11- -5  6  2
Curve Equation t Generators 52998e1 [1,1,0,361,29517] 1 [158:1615:8]
52998f (2 curves)	1	2+ 3- 11- 73+	2+ 3-  0  2 11-  4  2  4
Curve Equation t Generators 52998f1 [1,0,1,-1798426,-928420660] 2 [187751350:20353124792:15625] 52998f2 [1,0,1,-1720986,-1011993908] 2 [47948:10471263:1]
52998g (2 curves)	1	2+ 3- 11- 73+	2+ 3-  0  2 11- -4  2 -4
Curve Equation t Generators 52998g1 [1,0,1,-1576,23714] 2 [19:17:1] 52998g2 [1,0,1,-366,59530] 2 [-34:198:1]
52998h (4 curves)	1	2+ 3- 11- 73+	2+ 3-  0 -2 11-  4 -6  4
Curve Equation t Generators 52998h1 [1,0,1,-113501,12616184] 2 [-381:958:1] 52998h2 [1,0,1,196259,69488120] 2 [340:-13420:1] 52998h3 [1,0,1,-8825501,10090797176] 2 [-3285:61942:1] 52998h4 [1,0,1,-8820661,10102418984] 2 [1726:3674:1]
52998i (2 curves)	0	2+ 3- 11- 73-	2+ 3-  0  2 11-  2  0  0
Curve Equation t 52998i1 [1,0,1,-39691,1578806] 2 52998i2 [1,0,1,-301051,-62506666] 2
52998j (1 curve)	2	2+ 3- 11- 73-	2+ 3- -1 -2 11- -5  1 -6
Curve Equation t Generators 52998j1 [1,0,1,1361,167990] 1 [-47:50:1]&[88:941:1]
52998k (1 curve)	1	2- 3+ 11- 73+	2- 3+  2 -2 11-  3  6  6
Curve Equation t Generators 52998k1 [1,1,1,-29587,-4809001] 1 [26102711566097032341812548939536602:7044201726494612465547087507327360663:357100520982948722327919980408]
52998l (1 curve)	1	2- 3+ 11- 73+	2- 3+  2 -2 11-  5 -6 -2
Curve Equation t Generators 52998l1 [1,1,1,3,-21] 1 [9:24:1]
52998m (2 curves)	1	2- 3+ 11- 73+	2- 3+  2  4 11-  6 -6  0
Curve Equation t Generators 52998m1 [1,1,1,-4782,76011] 2 [-55:447:1] 52998m2 [1,1,1,14578,556139] 2 [39:1069:1]
52998n (2 curves)	0	2- 3+ 11- 73-	2- 3+  0  2 11-  6  0  4
Curve Equation t 52998n1 [1,1,1,-668,749] 2 52998n2 [1,1,1,-7928,267917] 2
52998o (1 curve)	2	2- 3+ 11- 73-	2- 3+ -1 -4 11- -5  3 -4
Curve Equation t Generators 52998o1 [1,1,1,11498204,-8597497435] 1 [46877:-10199055:1]&[1139:76749:1]
52998p (4 curves)	0	2- 3- 11- 73+	2- 3-  0  4 11-  4  6 -8
Curve Equation t 52998p1 [1,0,0,-235408,-43865920] 2 52998p2 [1,0,0,-3763768,-2810805832] 2 52998p3 [1,0,0,-1166503,448546121] 2 52998p4 [1,0,0,-3954343,-2510467255] 2
52998q (1 curve)	0	2- 3- 11- 73+	2- 3- -1  2 11-  5 -1  6
Curve Equation t 52998q1 [1,0,0,164739,-223430283] 1
52998r (2 curves)	0	2- 3- 11- 73+	2- 3- -4  0 11-  0  6  8
Curve Equation t 52998r1 [1,0,0,-910,-3904] 2 52998r2 [1,0,0,-11800,-493954] 2
52998s (2 curves)	1	2- 3- 11- 73-	2- 3-  2  2 11- -4 -4  4
Curve Equation t Generators 52998s1 [1,0,0,-15672,724032] 2 [48:264:1] 52998s2 [1,0,0,-247992,47513280] 2 [290:-70:1]

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