Cremona's table of elliptic curves

50337 = 3² · 7 · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
50337a (1 curve)	2	3+ 7+ 17+ 47-	-2 3+ -1 7+  3 -1 17+ -5
Curve Equation t Generators 50337a1 [0,0,1,1227,-1568] 1 [58:514:1]&[25:211:1]
50337b (1 curve)	0	3+ 7+ 17- 47+	2 3+  1 7+ -3 -1 17- -5
Curve Equation t 50337b1 [0,0,1,11043,42329] 1
50337c (1 curve)	0	3- 7+ 17+ 47+	0 3-  1 7+  2  5 17+  4
Curve Equation t 50337c1 [0,0,1,-12,-8582] 1
50337d (1 curve)	0	3- 7+ 17+ 47+	0 3- -1 7+  4  3 17+ -4
Curve Equation t 50337d1 [0,0,1,-70420278,227454650185] 1
50337e (2 curves)	0	3- 7+ 17+ 47+	1 3-  2 7+  0  4 17+ -4
Curve Equation t 50337e1 [1,-1,0,1974,-2440945] 2 50337e2 [1,-1,0,-260421,-50039398] 2
50337f (4 curves)	0	3- 7+ 17+ 47+	1 3- -2 7+  0 -2 17+  4
Curve Equation t 50337f1 [1,-1,0,-19278,-706401] 2 50337f2 [1,-1,0,-118683,15218280] 4 50337f3 [1,-1,0,52632,55408779] 2 50337f4 [1,-1,0,-1880478,993014505] 2
50337g (2 curves)	1	3- 7+ 17+ 47-	1 3-  0 7+  0 -4 17+ -2
Curve Equation t Generators 50337g1 [1,-1,0,-1062,-13433] 2 [66:415:1] 50337g2 [1,-1,0,-17127,-858452] 2 [1446:10381:8]
50337h (2 curves)	1	3- 7+ 17+ 47-	1 3-  2 7+  2 -2 17+ -2
Curve Equation t Generators 50337h1 [1,-1,0,-2147166,-1247630121] 2 [8345610:463939299:2197] 50337h2 [1,-1,0,-34646661,-78485929938] 2 [616462369371576:-9321647385330513:89434562048]
50337i (2 curves)	1	3- 7+ 17+ 47-	1 3-  2 7+ -6 -4 17+ -2
Curve Equation t Generators 50337i1 [1,-1,0,-25236,2091235] 2 [2854:48145:8] 50337i2 [1,-1,0,-441981,113195452] 2 [109986:910267:216]
50337j (4 curves)	1	3- 7+ 17+ 47-	1 3- -2 7+  0  6 17+ -4
Curve Equation t Generators 50337j1 [1,-1,0,-49068,11051019] 2 [1158:38229:1] 50337j2 [1,-1,0,-1102473,445264560] 4 [255944:2096679:512] 50337j3 [1,-1,0,-1426068,162766125] 2 [539986645016214:11325224218953993:386146429768] 50337j4 [1,-1,0,-17633358,28504788759] 2 [16014:272019:8]
50337k (1 curve)	1	3- 7+ 17+ 47-	-2 3-  1 7+  5  1 17+  1
Curve Equation t Generators 50337k1 [0,0,1,-13467,618394] 1 [74:164:1]
50337l (2 curves)	0	3- 7+ 17- 47-	1 3-  2 7+  2  2 17- -2
Curve Equation t 50337l1 [1,-1,0,279,-2696] 2 50337l2 [1,-1,0,-2016,-27023] 2
50337m (2 curves)	1	3- 7- 17+ 47+	-1 3-  0 7- -6 -2 17+  8
Curve Equation t Generators 50337m1 [1,-1,1,-1265,16800] 2 [-30:179:1] 50337m2 [1,-1,1,850,65868] 2 [14:-291:1]
50337n (1 curve)	0	3- 7- 17+ 47-	1 3-  1 7- -5  2 17+  4
Curve Equation t 50337n1 [1,-1,0,-39735519,96418731986] 1
50337o (4 curves)	0	3- 7- 17+ 47-	1 3-  2 7-  0  2 17+  8
Curve Equation t 50337o1 [1,-1,0,1224,64395] 2 50337o2 [1,-1,0,-18621,909792] 4 50337o3 [1,-1,0,-63036,-5032935] 2 50337o4 [1,-1,0,-291726,60719787] 2
50337p (2 curves)	0	3- 7- 17+ 47-	1 3- -2 7-  4 -4 17+  4
Curve Equation t 50337p1 [1,-1,0,-348,-2629] 2 50337p2 [1,-1,0,-5703,-164350] 2
50337q (1 curve)	1	3- 7- 17- 47-	0 3- -3 7- -2  1 17- -4
Curve Equation t Generators 50337q1 [0,0,1,-894,-13185] 1 [47:220:1]
50337r (2 curves)	1	3- 7- 17- 47-	-1 3-  0 7- -2  0 17-  4
Curve Equation t Generators 50337r1 [1,-1,1,27578245,76429012394] 2 [435006:-287146436:1] 50337r2 [1,-1,1,-190996790,786185866046] 2 [4345:193582:1]

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