Cremona's table of elliptic curves

50840 = 2³ · 5 · 31 · 41

Class	r	Atkin-Lehner	Eigenvalues
50840a (2 curves)	2	2+ 5+ 31+ 41-	2+ -2 5+  0  0 -4 -4 -4
Curve Equation t Generators 50840a1 [0,1,0,-2791,55830] 2 [-51:261:1]&[5:205:1] 50840a2 [0,1,0,-2636,62464] 2 [-20:328:1]&[60:352:1]
50840b (2 curves)	1	2+ 5+ 31- 41-	2+  0 5+  0  6 -2  2  0
Curve Equation t Generators 50840b1 [0,0,0,-263,-1862] 2 [402:2675:8] 50840b2 [0,0,0,-4363,-110922] 2 [76490:53607:1000]
50840c (2 curves)	0	2+ 5- 31+ 41+	2+  2 5- -2  0  0  0 -8
Curve Equation t 50840c1 [0,-1,0,-13135,583572] 2 50840c2 [0,-1,0,-210140,37147700] 2
50840d (2 curves)	1	2+ 5- 31- 41+	2+  0 5-  2 -6  6  6 -8
Curve Equation t Generators 50840d1 [0,0,0,38,-39] 2 [164:555:64] 50840d2 [0,0,0,-167,-326] 2 [18:50:1]
50840e (2 curves)	1	2+ 5- 31- 41+	2+ -2 5-  2  0  0  0  4
Curve Equation t Generators 50840e1 [0,1,0,-1001055,-385843322] 2 [5326:381300:1] 50840e2 [0,1,0,-1001260,-385677600] 2 [-4710:2325:8]
50840f (2 curves)	2	2+ 5- 31- 41-	2+ -2 5- -4 -2  0  0 -4
Curve Equation t Generators 50840f1 [0,1,0,-300,-1952] 2 [-12:8:1]&[-9:10:1] 50840f2 [0,1,0,320,-8400] 2 [19:70:1]&[20:80:1]
50840g (2 curves)	2	2- 5+ 31+ 41+	2-  0 5+ -2 -4  6 -6  0
Curve Equation t Generators 50840g1 [0,0,0,257,3042] 2 [-7:30:1]&[7:72:1] 50840g2 [0,0,0,-2243,34542] 2 [-13:248:1]&[182:2378:1]
50840h (2 curves)	1	2- 5+ 31+ 41-	2-  0 5+  0 -2  2  2  0
Curve Equation t Generators 50840h1 [0,0,0,-58,-147] 2 [13:36:1] 50840h2 [0,0,0,97,-798] 2 [11:40:1]
50840i (2 curves)	1	2- 5+ 31+ 41-	2-  0 5+ -2 -4 -4  0  2
Curve Equation t Generators 50840i1 [0,0,0,-383,-2782] 2 [-11:10:1] 50840i2 [0,0,0,-1003,8502] 2 [51:300:1]
50840j (2 curves)	1	2- 5- 31+ 41+	2-  2 5-  2  4  4 -8 -8
Curve Equation t Generators 50840j1 [0,-1,0,-183140,17968100] 2 [-20:4650:1] 50840j2 [0,-1,0,-2585640,1600735100] 2 [28290:172360:27]
50840k (2 curves)	2	2- 5- 31- 41+	2- -2 5- -2 -4 -4  0 -4
Curve Equation t Generators 50840k1 [0,1,0,-17300,-740000] 2 [-90:310:1]&[-82:366:1] 50840k2 [0,1,0,-79800,7960000] 2 [-297:2356:1]&[-80:3720:1]
50840l (1 curve)	1	2- 5- 31- 41-	2-  0 5- -3  1 -6  4  4
Curve Equation t Generators 50840l1 [0,0,0,268,-876] 1 [44:310:1]

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