Cremona's table of elliptic curves

50512 = 2⁴ · 7 · 11 · 41

Class	r	Atkin-Lehner	Eigenvalues
50512a (1 curve)	1	2+ 7+ 11+ 41+	2+  1  3 7+ 11+ -4  6 -2
Curve Equation t Generators 50512a1 [0,1,0,-2689,60619] 1 [3270:11767:125]
50512b (1 curve)	0	2+ 7+ 11- 41+	2+ -1 -1 7+ 11-  4  3  4
Curve Equation t 50512b1 [0,-1,0,-7656,-254768] 1
50512c (4 curves)	0	2+ 7- 11+ 41+	2+  0 -2 7- 11+  2 -2 -4
Curve Equation t 50512c1 [0,0,0,-21026,-5417785] 2 50512c2 [0,0,0,-609271,-182479530] 4 50512c3 [0,0,0,-890531,2983314] 2 50512c4 [0,0,0,-9739931,-11699894054] 2
50512d (1 curve)	2	2- 7+ 11+ 41+	2-  1 -1 7+ 11+ -2 -5  4
Curve Equation t Generators 50512d1 [0,1,0,-241176,45373076] 1 [-458:7744:1]&[268:242:1]
50512e (1 curve)	1	2- 7+ 11+ 41-	2-  1 -3 7+ 11+  2  2  4
Curve Equation t Generators 50512e1 [0,1,0,443,-3521] 1 [15:82:1]
50512f (2 curves)	0	2- 7+ 11- 41-	2-  2  0 7+ 11-  2 -6  1
Curve Equation t 50512f1 [0,-1,0,-1848,-41104] 1 50512f2 [0,-1,0,14552,515184] 1
50512g (2 curves)	0	2- 7+ 11- 41-	2-  2  0 7+ 11-  4  2  2
Curve Equation t 50512g1 [0,-1,0,2632,61040] 2 50512g2 [0,-1,0,-16728,618608] 2
50512h (1 curve)	0	2- 7+ 11- 41-	2- -2  4 7+ 11- -2  2  1
Curve Equation t 50512h1 [0,1,0,-30976,2088372] 1
50512i (1 curve)	1	2- 7- 11+ 41+	2- -2  2 7- 11+ -4  6  5
Curve Equation t Generators 50512i1 [0,1,0,2508,73048] 1 [-13:196:1]
50512j (1 curve)	2	2- 7- 11+ 41-	2-  1 -1 7- 11+ -4 -3 -4
Curve Equation t Generators 50512j1 [0,1,0,-146616,18300116] 1 [2350:-112504:1]&[-233:6314:1]
50512k (1 curve)	0	2- 7- 11+ 41-	2-  2  0 7- 11+  2  2 -1
Curve Equation t 50512k1 [0,-1,0,-8,176] 1
50512l (1 curve)	2	2- 7- 11+ 41-	2- -3 -1 7- 11+  0 -3  4
Curve Equation t Generators 50512l1 [0,0,0,-8083,279634] 1 [-71:704:1]&[39:154:1]
50512m (1 curve)	2	2- 7- 11- 41+	2- -1 -3 7- 11-  0 -1 -4
Curve Equation t Generators 50512m1 [0,-1,0,-1352,15856] 1 [36:-112:1]&[-28:176:1]
50512n (1 curve)	1	2- 7- 11- 41-	2- -2  2 7- 11- -4 -2 -3
Curve Equation t Generators 50512n1 [0,1,0,-12,472] 1 [-1:22:1]

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