Cremona's table of elliptic curves

50575 = 5² · 7 · 17²

Class	r	Atkin-Lehner	Eigenvalues
50575a (1 curve)	1	5+ 7+ 17+	0  0 5+ 7+ -2  5 17+  4
Curve Equation t Generators 50575a1 [0,0,1,-491300,-133111594] 1 [2660:131837:1]
50575b (1 curve)	1	5+ 7+ 17+	1  3 5+ 7+  0  2 17+ -7
Curve Equation t Generators 50575b1 [1,-1,0,-292,-259] 1 [-60:553:27]
50575c (1 curve)	1	5+ 7+ 17+	-1  1 5+ 7+  6  6 17+ -5
Curve Equation t Generators 50575c1 [1,0,0,-6313,-93758] 1 [-69:155:1]
50575d (1 curve)	1	5+ 7+ 17+	-1 -2 5+ 7+ -3 -6 17+  4
Curve Equation t Generators 50575d1 [1,0,0,-363,2632] 1 [11:-5:1]
50575e (1 curve)	1	5+ 7+ 17+	2  2 5+ 7+ -2  1 17+  6
Curve Equation t Generators 50575e1 [0,-1,1,-72223508,236796391543] 1 [-193965811889876:44764988769183019:69325227712]
50575f (1 curve)	1	5+ 7+ 17+	2 -2 5+ 7+  3  0 17+ -5
Curve Equation t Generators 50575f1 [0,1,1,-696008,-179357481] 1 [-3126:46021:8]
50575g (1 curve)	0	5+ 7+ 17-	1 -2 5+ 7+  3 -4 17- -6
Curve Equation t 50575g1 [1,0,1,-151,-747] 1
50575h (1 curve)	0	5+ 7+ 17-	1 -2 5+ 7+ -5  4 17-  2
Curve Equation t 50575h1 [1,0,1,-141761,893659503] 1
50575i (1 curve)	0	5+ 7+ 17-	-1  1 5+ 7+  2 -2 17- -7
Curve Equation t 50575i1 [1,0,0,-12661963,10853206042] 1
50575j (1 curve)	0	5+ 7+ 17-	-1 -2 5+ 7+  5 -2 17-  8
Curve Equation t 50575j1 [1,0,0,-3763,-145608] 1
50575k (1 curve)	0	5+ 7+ 17-	2 -2 5+ 7+  5  4 17- -1
Curve Equation t 50575k1 [0,1,1,-3398158,2401932719] 1
50575l (1 curve)	0	5+ 7- 17+	0  0 5+ 7-  2  5 17+  4
Curve Equation t 50575l1 [0,0,1,-1700,-27094] 1
50575m (3 curves)	0	5+ 7- 17+	0  1 5+ 7-  3 -5 17+  2
Curve Equation t 50575m1 [0,1,1,-9633,400519] 1 50575m2 [0,1,1,62617,-1008356] 1 50575m3 [0,1,1,-948883,-372481731] 1
50575n (1 curve)	0	5+ 7- 17+	1  2 5+ 7- -3 -4 17+ -6
Curve Equation t 50575n1 [1,1,0,-43500,-3625285] 1
50575o (1 curve)	0	5+ 7- 17+	1  2 5+ 7-  5  4 17+  2
Curve Equation t 50575o1 [1,1,0,-490,181695] 1
50575p (1 curve)	0	5+ 7- 17+	-1 -1 5+ 7- -2 -2 17+ -7
Curve Equation t 50575p1 [1,1,1,-3659307313,53325460591656] 1
50575q (1 curve)	0	5+ 7- 17+	-1  2 5+ 7- -5 -2 17+  8
Curve Equation t 50575q1 [1,1,1,-1087513,-714284594] 1
50575r (1 curve)	0	5+ 7- 17+	2  2 5+ 7- -5  4 17+ -1
Curve Equation t 50575r1 [0,-1,1,-11758,493043] 1
50575s (1 curve)	0	5+ 7- 17+	-2  2 5+ 7-  2  1 17+  2
Curve Equation t 50575s1 [0,-1,1,-2408,722968] 1
50575t (1 curve)	2	5+ 7- 17+	-2  2 5+ 7- -6 -1 17+ -6
Curve Equation t Generators 50575t1 [0,-1,1,3133242,-5800937582] 1 [1298:21241:1]&[4052:270937:1]
50575u (1 curve)	1	5+ 7- 17-	1 -3 5+ 7-  0  2 17- -7
Curve Equation t Generators 50575u1 [1,-1,0,-84442,-1610159] 1 [-72:-1987:1]
50575v (1 curve)	1	5+ 7- 17-	-1 -1 5+ 7- -6  6 17- -5
Curve Equation t Generators 50575v1 [1,1,1,-1824463,-458808594] 1 [-1146:11913:1]
50575w (1 curve)	1	5+ 7- 17-	-1  2 5+ 7-  3 -6 17-  4
Curve Equation t Generators 50575w1 [1,1,1,-104913,13035926] 1 [3252:38090:27]
50575x (1 curve)	1	5+ 7- 17-	2  2 5+ 7- -3  0 17- -5
Curve Equation t Generators 50575x1 [0,-1,1,-2408,-35657] 1 [-9976:29969:512]
50575y (1 curve)	0	5- 7+ 17+	0  2 5- 7+ -1  6 17+  5
Curve Equation t 50575y1 [0,-1,1,-2833,16193] 1
50575z (1 curve)	0	5- 7+ 17+	1 -2 5- 7+ -5  2 17+  8
Curve Equation t 50575z1 [1,0,1,-43501,-5714277] 1
50575ba (1 curve)	0	5- 7+ 17+	-1 -2 5- 7+ -3  4 17+ -6
Curve Equation t 50575ba1 [1,0,0,-1087513,-450985608] 1
50575bb (1 curve)	0	5- 7+ 17+	-1 -2 5- 7+  5 -4 17+  2
Curve Equation t 50575bb1 [1,0,0,-12263,22736392] 1
50575bc (2 curves)	0	5- 7+ 17+	-2  1 5- 7+  3 -1 17+  0
Curve Equation t 50575bc1 [0,1,1,482,-5526] 1 50575bc2 [0,1,1,-42868,3419124] 1
50575bd (1 curve)	1	5- 7+ 17-	0  2 5- 7+  1 -6 17-  5
Curve Equation t Generators 50575bd1 [0,-1,1,-32753,610258] 1 [-4326:35389:27]
50575be (1 curve)	1	5- 7+ 17-	1 -2 5- 7+  3  6 17-  4
Curve Equation t Generators 50575be1 [1,0,1,-2622826,1634736423] 1 [891:1866:1]
50575bf (1 curve)	1	5- 7- 17+	0 -2 5- 7- -1 -6 17+  5
Curve Equation t Generators 50575bf1 [0,1,1,-113,84] 1 [-2:-18:1]
50575bg (1 curve)	1	5- 7- 17+	1  2 5- 7- -3  6 17+  4
Curve Equation t Generators 50575bg1 [1,1,0,-9075,329000] 1 [45396:50950:729]
50575bh (2 curves)	1	5- 7- 17+	2 -1 5- 7-  3  1 17+  0
Curve Equation t Generators 50575bh1 [0,-1,1,12042,-714807] 1 [332823337518:-15575557784777:152273304] 50575bh2 [0,-1,1,-1071708,429533943] 1 [-1014:189871:8]
50575bi (1 curve)	0	5- 7- 17-	0 -2 5- 7-  1  6 17-  5
Curve Equation t 50575bi1 [0,1,1,-818833,74644619] 1
50575bj (1 curve)	0	5- 7- 17-	1  2 5- 7-  5  2 17-  8
Curve Equation t 50575bj1 [1,1,0,-150,-1225] 1
50575bk (1 curve)	0	5- 7- 17-	-1  2 5- 7-  3  4 17- -6
Curve Equation t 50575bk1 [1,1,1,-3763,-93344] 1
50575bl (1 curve)	0	5- 7- 17-	-1  2 5- 7- -5 -4 17-  2
Curve Equation t 50575bl1 [1,1,1,-3544013,111707437906] 1

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