Cremona's table of elliptic curves

50540 = 2² · 5 · 7 · 19²

Class	r	Atkin-Lehner	Eigenvalues
50540a (1 curve)	1	2- 5+ 7+ 19-	2-  3 5+ 7+  2  4 -3 19-
Curve Equation t Generators 50540a1 [0,0,0,3904937,223726862] 1 [171141002211:3996839970090998:265723691589]
50540b (1 curve)	1	2- 5+ 7+ 19-	2- -3 5+ 7+ -5  3 -1 19-
Curve Equation t Generators 50540b1 [0,0,0,11552,-1454108] 1 [228:3610:1]
50540c (1 curve)	0	2- 5+ 7- 19-	2-  1 5+ 7-  3  3  5 19-
Curve Equation t 50540c1 [0,1,0,-51021,6060575] 1
50540d (1 curve)	0	2- 5+ 7- 19-	2- -1 5+ 7- -2  0  1 19-
Curve Equation t 50540d1 [0,-1,0,-1182756,495503800] 1
50540e (1 curve)	1	2- 5- 7+ 19+	2-  0 5- 7+ -3 -4  4 19+
Curve Equation t Generators 50540e1 [0,0,0,-54872,4691556] 1 [0:2166:1]
50540f (1 curve)	1	2- 5- 7+ 19+	2- -2 5- 7+ -3  4  8 19+
Curve Equation t Generators 50540f1 [0,1,0,-5359165,-4776998817] 1 [-458381:36994:343]
50540g (1 curve)	0	2- 5- 7+ 19-	2-  0 5- 7+ -3  4  4 19-
Curve Equation t 50540g1 [0,0,0,-152,-684] 1
50540h (1 curve)	0	2- 5- 7+ 19-	2- -1 5- 7+ -2  0 -1 19-
Curve Equation t 50540h1 [0,-1,0,-700460,-230192840] 1
50540i (1 curve)	0	2- 5- 7+ 19-	2- -1 5- 7+  3  5 -1 19-
Curve Equation t 50540i1 [0,-1,0,821155,9268864057] 1
50540j (2 curves)	0	2- 5- 7+ 19-	2-  2 5- 7+  0  2  2 19-
Curve Equation t 50540j1 [0,-1,0,-1925,-203350] 2 50540j2 [0,-1,0,-65100,-6343960] 2
50540k (1 curve)	0	2- 5- 7+ 19-	2-  2 5- 7+ -3 -4  8 19-
Curve Equation t 50540k1 [0,-1,0,-14845,701145] 1
50540l (2 curves)	0	2- 5- 7- 19+	2-  0 5- 7-  0  0  6 19+
Curve Equation t 50540l1 [0,0,0,-54872,27237089] 2 50540l2 [0,0,0,-1735327,876539046] 2
50540m (2 curves)	0	2- 5- 7- 19+	2-  0 5- 7-  0  0  6 19+
Curve Equation t 50540m1 [0,0,0,-152,-3971] 2 50540m2 [0,0,0,-4807,-127794] 2
50540n (2 curves)	2	2- 5- 7- 19+	2- -2 5- 7- -3 -4  0 19+
Curve Equation t Generators 50540n1 [0,1,0,-334045,71722143] 3 [2381:-113050:1]&[-559:9170:1] 50540n2 [0,1,0,-3944045,-2993889857] 1 [-1134:4655:1]&[2786:87465:1]
50540o (2 curves)	1	2- 5- 7- 19-	2- -1 5- 7-  3  1 -3 19-
Curve Equation t Generators 50540o1 [0,-1,0,-1925,160177] 1 [32:361:1] 50540o2 [0,-1,0,-290725,60432737] 1 [127:5054:1]
50540p (2 curves)	1	2- 5- 7- 19-	2- -1 5- 7- -6  4  3 19-
Curve Equation t Generators 50540p1 [0,-1,0,7100,-643048] 1 [317:5776:1] 50540p2 [0,-1,0,-65100,19226392] 1 [-158:5054:1]
50540q (4 curves)	1	2- 5- 7- 19-	2-  2 5- 7-  0 -2 -6 19-
Curve Equation t Generators 50540q1 [0,-1,0,-103005,-13649878] 2 [73559138:191260125:195112] 50540q2 [0,-1,0,-1682380,-839347128] 2 [14981146586226:-4861571459077403:142236648] 50540q3 [0,-1,0,618995,3714222] 2 [2199:109515:1] 50540q4 [0,-1,0,-2476580,32193512] 2 [66954:2580382:27]
50540r (2 curves)	1	2- 5- 7- 19-	2-  2 5- 7- -3  4  0 19-
Curve Equation t Generators 50540r1 [0,-1,0,-120590365,-492665720775] 1 [36480:6607125:1] 50540r2 [0,-1,0,-1423800365,20526547727225] 1 [24235:504210:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations