Cremona's table of elliptic curves

50127 = 3 · 7² · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
50127a (1 curve)	0	3+ 7+ 11+ 31-	1 3+  3 7+ 11+ -5  3 -5
Curve Equation t 50127a1 [1,1,0,-525011,-148593738] 1
50127b (1 curve)	0	3+ 7+ 11- 31+	-1 3+  3 7+ 11-  1 -7  5
Curve Equation t 50127b1 [1,1,1,636,-1422] 1
50127c (1 curve)	0	3+ 7- 11+ 31+	1 3+  1 7- 11+ -1 -5  1
Curve Equation t 50127c1 [1,1,0,-186127,31042222] 1
50127d (4 curves)	0	3+ 7- 11+ 31+	1 3+ -2 7- 11+  2 -2  4
Curve Equation t 50127d1 [1,1,0,-7326,-244425] 2 50127d2 [1,1,0,-7571,-227520] 4 50127d3 [1,1,0,11294,-1159451] 2 50127d4 [1,1,0,-30356,1791231] 2
50127e (1 curve)	1	3+ 7- 11+ 31-	0 3+ -1 7- 11+  1  4 -8
Curve Equation t Generators 50127e1 [0,-1,1,-331,-102852] 1 [426:1327:8]
50127f (2 curves)	1	3+ 7- 11+ 31-	-1 3+  2 7- 11+ -2  2  0
Curve Equation t Generators 50127f1 [1,1,1,-23717,1301978] 2 [-174:532:1] 50127f2 [1,1,1,22588,5821346] 2 [-3669:15736:27]
50127g (1 curve)	1	3+ 7- 11+ 31-	2 3+ -1 7- 11+  1 -4  0
Curve Equation t Generators 50127g1 [0,-1,1,-640437366,-6238041300835] 1 [4961322806516876248446989325685070844635700460051299943566003814903871915028142940579143587416482:385826530885184056913336401047113336878453171114668457042757643795679459734197496894015396969634741:154669311699691458716238660337941449074304777797717662238551669940292843898395949357425580776]
50127h (1 curve)	0	3+ 7- 11- 31-	2 3+ -1 7- 11- -3 -6 -2
Curve Equation t 50127h1 [0,-1,1,-18803276,73028149445] 1
50127i (1 curve)	1	3- 7+ 11+ 31-	1 3- -1 7+ 11+  1  5 -1
Curve Equation t Generators 50127i1 [1,0,1,-3799,-91045] 1 [103:731:1]
50127j (1 curve)	1	3- 7- 11+ 31+	0 3-  1 7- 11+ -1 -4  8
Curve Equation t Generators 50127j1 [0,1,1,-16235,35310608] 1 [-38:5989:1]
50127k (1 curve)	1	3- 7- 11+ 31+	0 3-  1 7- 11+ -3 -2  6
Curve Equation t Generators 50127k1 [0,1,1,-3495,684317] 1 [9:-809:1]
50127l (1 curve)	1	3- 7- 11+ 31+	1 3- -3 7- 11+  5 -3  5
Curve Equation t Generators 50127l1 [1,0,1,-10715,431687] 1 [111:727:1]
50127m (2 curves)	1	3- 7- 11+ 31+	-1 3- -2 7- 11+  2 -2  0
Curve Equation t Generators 50127m1 [1,0,0,-484,-3865] 2 [53:-373:1] 50127m2 [1,0,0,461,-16906] 2 [50:-388:1]
50127n (1 curve)	1	3- 7- 11+ 31+	2 3-  1 7- 11+ -1  4  0
Curve Equation t Generators 50127n1 [0,1,1,-13070150,18182975003] 1 [-33094:307457:8]
50127o (1 curve)	1	3- 7- 11+ 31+	2 3- -1 7- 11+  3 -2  2
Curve Equation t Generators 50127o1 [0,1,1,21544,-427003] 1 [170:1613:8]
50127p (1 curve)	2	3- 7- 11+ 31-	-2 3- -3 7- 11+  1  0 -6
Curve Equation t Generators 50127p1 [0,1,1,278,-13688] 1 [20:16:1]&[86:808:1]
50127q (1 curve)	0	3- 7- 11- 31+	2 3- -3 7- 11-  3 -6 -2
Curve Equation t 50127q1 [0,1,1,-2662,61135] 1
50127r (2 curves)	1	3- 7- 11- 31-	1 3-  2 7- 11- -4  2 -6
Curve Equation t Generators 50127r1 [1,0,1,-4925555,-4081170607] 2 [-163155:1476887:125] 50127r2 [1,0,1,-12224350,10825888301] 2 [649:55940:1]
50127s (1 curve)	1	3- 7- 11- 31-	-1 3- -3 7- 11- -1  7 -5
Curve Equation t Generators 50127s1 [1,0,0,13,6] 1 [1:4:1]
50127t (1 curve)	1	3- 7- 11- 31-	2 3-  3 7- 11- -7  4 -2
Curve Equation t Generators 50127t1 [0,1,1,-86844,-10838425] 1 [7450:214175:8]
50127u (1 curve)	1	3- 7- 11- 31-	-2 3- -1 7- 11-  5 -4  6
Curve Equation t Generators 50127u1 [0,1,1,-538526,2203159592] 1 [-635:-47849:1]

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