Cremona's table of elliptic curves

10050 = 2 · 3 · 5² · 67

Class	r	Atkin-Lehner	Eigenvalues
10050a (1 curve)	1	2+ 3+ 5+ 67+	2+ 3+ 5+  2  0  1  2 -2
Curve Equation t Generators 10050a1 [1,1,0,-35950,1736500] 1 [-1098:16765:8]
10050b (4 curves)	1	2+ 3+ 5+ 67+	2+ 3+ 5+ -2  0 -2  0  8
Curve Equation t Generators 10050b1 [1,1,0,-22275,1090125] 2 [55:160:1] 10050b2 [1,1,0,-342275,76930125] 2 [255:2385:1] 10050b3 [1,1,0,-478275,-127381875] 2 [32250:840775:27] 10050b4 [1,1,0,-603275,-55756875] 2 [-535:10955:1]
10050c (2 curves)	0	2+ 3+ 5+ 67-	2+ 3+ 5+  2 -4  2  0 -8
Curve Equation t 10050c1 [1,1,0,-81650,8824500] 2 10050c2 [1,1,0,-161650,-11415500] 2
10050d (2 curves)	0	2+ 3+ 5+ 67-	2+ 3+ 5+  4  0  4  4  4
Curve Equation t 10050d1 [1,1,0,-775,-6875] 2 10050d2 [1,1,0,1725,-39375] 2
10050e (2 curves)	0	2+ 3+ 5+ 67-	2+ 3+ 5+ -4  2 -6  4 -4
Curve Equation t 10050e1 [1,1,0,-12625,-576875] 2 10050e2 [1,1,0,-204625,-35712875] 2
10050f (2 curves)	0	2+ 3+ 5- 67+	2+ 3+ 5-  0 -2  6 -4  4
Curve Equation t 10050f1 [1,1,0,-26825,1717125] 2 10050f2 [1,1,0,-431825,109042125] 2
10050g (1 curve)	0	2+ 3+ 5- 67+	2+ 3+ 5-  3  3  4  4  0
Curve Equation t 10050g1 [1,1,0,-65450,6556500] 1
10050h (1 curve)	1	2+ 3+ 5- 67-	2+ 3+ 5-  2  0  2 -1 -5
Curve Equation t Generators 10050h1 [1,1,0,6675,-187875] 1 [26:51:1]
10050i (1 curve)	0	2+ 3- 5+ 67+	2+ 3- 5+  0 -1 -7 -8  1
Curve Equation t 10050i1 [1,0,1,-262201,-194540452] 1
10050j (2 curves)	0	2+ 3- 5+ 67+	2+ 3- 5+  0  2  2  4  4
Curve Equation t 10050j1 [1,0,1,124,398] 2 10050j2 [1,0,1,-626,3398] 2
10050k (1 curve)	1	2+ 3- 5+ 67-	2+ 3- 5+  1 -1  6  2 -2
Curve Equation t Generators 10050k1 [1,0,1,-2001,282148] 1 [92:891:1]
10050l (2 curves)	1	2+ 3- 5+ 67-	2+ 3- 5+ -2 -4  0 -6  4
Curve Equation t Generators 10050l1 [1,0,1,-926,10748] 2 [12:31:1] 10050l2 [1,0,1,-676,16748] 2 [16:92:1]
10050m (1 curve)	1	2+ 3- 5+ 67-	2+ 3- 5+ -2 -4  3  2 -2
Curve Equation t Generators 10050m1 [1,0,1,-6,-2] 1 [-2:2:1]
10050n (1 curve)	1	2+ 3- 5- 67+	2+ 3- 5- -1  3  4 -4  8
Curve Equation t Generators 10050n1 [1,0,1,799,1702298] 1 [102:1636:1]
10050o (1 curve)	1	2+ 3- 5- 67+	2+ 3- 5-  4 -2 -1 -4 -2
Curve Equation t Generators 10050o1 [1,0,1,-11076,447298] 1 [52:86:1]
10050p (2 curves)	1	2+ 3- 5- 67+	2+ 3- 5- -4  6 -2  8 -4
Curve Equation t Generators 10050p1 [1,0,1,9,-422] 2 [8:9:1] 10050p2 [1,0,1,-791,-8422] 2 [-18:16:1]
10050q (2 curves)	0	2+ 3- 5- 67-	2+ 3- 5-  0  0  2 -2  0
Curve Equation t 10050q1 [1,0,1,-4326,-124952] 2 10050q2 [1,0,1,-71826,-7414952] 2
10050r (1 curve)	0	2+ 3- 5- 67-	2+ 3- 5-  3  1  0  4  4
Curve Equation t 10050r1 [1,0,1,424,-3202] 1
10050s (2 curves)	2	2+ 3- 5- 67-	2+ 3- 5- -4 -6 -4 -3 -7
Curve Equation t Generators 10050s1 [1,0,1,-126,748] 3 [-13:21:1]&[-7:39:1] 10050s2 [1,0,1,999,-10052] 1 [83:-846:1]&[43:314:1]
10050t (3 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+  1  0  4  6  2
Curve Equation t 10050t1 [1,1,1,-3613,86531] 1 10050t2 [1,1,1,20012,133781] 1 10050t3 [1,1,1,-256363,-54839719] 1
10050u (2 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+  4 -6  4  3 -7
Curve Equation t 10050u1 [1,1,1,-3138,93531] 1 10050u2 [1,1,1,24987,-1256469] 1
10050v (4 curves)	1	2- 3+ 5+ 67-	2- 3+ 5+  0  4  2 -2 -4
Curve Equation t Generators 10050v1 [1,1,1,-238,-469] 2 [-5:27:1] 10050v2 [1,1,1,-2238,39531] 4 [-5:227:1] 10050v3 [1,1,1,-35738,2585531] 2 [129:313:1] 10050v4 [1,1,1,-738,93531] 2 [5:297:1]
10050w (2 curves)	1	2- 3+ 5+ 67-	2- 3+ 5+  2 -4  0 -2 -4
Curve Equation t Generators 10050w1 [1,1,1,-6813,-155469] 2 [-45:272:1] 10050w2 [1,1,1,18187,-1005469] 2 [205:3272:1]
10050x (1 curve)	1	2- 3+ 5+ 67-	2- 3+ 5+ -4 -2  1  4 -2
Curve Equation t Generators 10050x1 [1,1,1,-443,3401] 1 [11:-2:1]
10050y (4 curves)	1	2- 3+ 5+ 67-	2- 3+ 5+ -4  4 -2 -2  4
Curve Equation t Generators 10050y1 [1,1,1,-1916463,-1021902219] 2 [-795:522:1] 10050y2 [1,1,1,-2044463,-877774219] 4 [1765:30992:1] 10050y3 [1,1,1,-10792463,12891577781] 2 [1495:9302:1] 10050y4 [1,1,1,4655537,-5420374219] 2 [31575:1072624:27]
10050z (2 curves)	1	2- 3+ 5- 67+	2- 3+ 5-  0  0 -2  2  0
Curve Equation t Generators 10050z1 [1,1,1,-173,-1069] 2 [25:92:1] 10050z2 [1,1,1,-2873,-60469] 2 [79:422:1]
10050ba (1 curve)	1	2- 3+ 5- 67+	2- 3+ 5-  2 -4 -3 -2 -2
Curve Equation t Generators 10050ba1 [1,1,1,-138,-219] 1 [-18:79:8]
10050bb (1 curve)	1	2- 3+ 5- 67+	2- 3+ 5- -3  1  0 -4  4
Curve Equation t Generators 10050bb1 [1,1,1,17,-19] 1 [5:12:1]
10050bc (1 curve)	0	2- 3+ 5- 67-	2- 3+ 5-  0 -1  7  8  1
Curve Equation t 10050bc1 [1,1,1,-10488,-1560519] 1
10050bd (1 curve)	0	2- 3+ 5- 67-	2- 3+ 5-  1  3 -4  4  8
Curve Equation t 10050bd1 [1,1,1,32,13631] 1
10050be (2 curves)	0	2- 3+ 5- 67-	2- 3+ 5-  4  6  2 -8 -4
Curve Equation t 10050be1 [1,1,1,237,-52719] 2 10050be2 [1,1,1,-19763,-1052719] 2
10050bf (4 curves)	1	2- 3- 5+ 67+	2- 3- 5+  0  4 -2 -6 -4
Curve Equation t Generators 10050bf1 [1,0,0,3162,-39708] 4 [36:330:1] 10050bf2 [1,0,0,-14838,-345708] 4 [186:1734:1] 10050bf3 [1,0,0,-202338,-35033208] 2 [23772:573160:27] 10050bf4 [1,0,0,-115338,14829792] 2 [87248:437312:343]
10050bg (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+ -2  0 -2  1 -5
Curve Equation t Generators 10050bg1 [1,0,0,267,-1503] 1 [18:87:1]
10050bh (2 curves)	1	2- 3- 5+ 67+	2- 3- 5+ -2  0 -2  4 -8
Curve Equation t Generators 10050bh1 [1,0,0,-188,492] 2 [6:147:8] 10050bh2 [1,0,0,-1438,-20758] 2 [5684:44795:64]
10050bi (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+  3 -5 -2 -6  2
Curve Equation t Generators 10050bi1 [1,0,0,-7026688,12679380992] 1 [-2488:122744:1]
10050bj (1 curve)	0	2- 3- 5+ 67-	2- 3- 5+  3  0  4 -2 -2
Curve Equation t 10050bj1 [1,0,0,-63,-1383] 1
10050bk (2 curves)	1	2- 3- 5- 67-	2- 3- 5-  0 -2 -6  4  4
Curve Equation t Generators 10050bk1 [1,0,0,-1073,13737] 2 [16:19:1] 10050bk2 [1,0,0,-17273,872337] 2 [-8:1009:1]
10050bl (1 curve)	1	2- 3- 5- 67-	2- 3- 5- -2  0 -1 -2 -2
Curve Equation t Generators 10050bl1 [1,0,0,-1438,13892] 1 [-28:194:1]
10050bm (1 curve)	1	2- 3- 5- 67-	2- 3- 5- -3  3 -4 -4  0
Curve Equation t Generators 10050bm1 [1,0,0,-2618,52452] 1 [52:-266:1]

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