Cremona's table of elliptic curves

83205 = 3² · 5 · 43²

Class	r	Atkin-Lehner	Eigenvalues
83205a (1 curve)	1	3+ 5+ 43+	-1 3+ 5+  1 -1  2  6  0
Curve Equation t Generators 83205a1 [1,-1,1,-44723,-3087108] 1 [396:6219:1]
83205b (1 curve)	2	3+ 5+ 43-	-1 3+ 5+ -1  1  2 -6  0
Curve Equation t Generators 83205b1 [1,-1,1,-218,-998] 1 [-8:17:1]&[20:38:1]
83205c (2 curves)	0	3+ 5+ 43-	-1 3+ 5+  4  0  2  2 -6
Curve Equation t 83205c1 [1,-1,1,-127928,769906] 2 83205c2 [1,-1,1,-1376003,-618774524] 2
83205d (2 curves)	0	3+ 5+ 43-	-1 3+ 5+ -4  4  2  6  6
Curve Equation t 83205d1 [1,-1,1,-1300122848,-18041242862294] 2 83205d2 [1,-1,1,-20801294723,-1154733349581044] 2
83205e (1 curve)	0	3+ 5- 43+	1 3+ 5-  1  1  2 -6  0
Curve Equation t 83205e1 [1,-1,0,-402504,83754413] 1
83205f (1 curve)	1	3+ 5- 43-	1 3+ 5- -1 -1  2  6  0
Curve Equation t Generators 83205f1 [1,-1,0,-24,45] 1 [4:-1:1]
83205g (2 curves)	1	3+ 5- 43-	1 3+ 5-  4  0  2 -2 -6
Curve Equation t Generators 83205g1 [1,-1,0,-14214,-23777] 2 [-5334:172775:2744] 83205g2 [1,-1,0,-152889,22968538] 2 [7913720262:-6149027135:33386248]
83205h (2 curves)	1	3+ 5- 43-	1 3+ 5- -4 -4  2 -6  6
Curve Equation t Generators 83205h1 [1,-1,0,-144458094,668242332783] 2 [-57274:9273637:8] 83205h2 [1,-1,0,-2311254969,42768672254658] 2 [458726:-79736363:8]
83205i (2 curves)	0	3- 5+ 43+	1 3- 5+  4 -4  2 -8 -2
Curve Equation t 83205i1 [1,-1,0,-11374470,395882798575] 2 83205i2 [1,-1,0,-880783515,9960947229856] 2
83205j (1 curve)	0	3- 5+ 43+	-1 3- 5+  1  5  2 -6 -6
Curve Equation t 83205j1 [1,-1,1,-34630268,68838843912] 1
83205k (1 curve)	0	3- 5+ 43+	-1 3- 5+ -4  0  2  4 -6
Curve Equation t 83205k1 [1,-1,1,1147882,-1147828894] 1
83205l (1 curve)	1	3- 5+ 43-	0 3- 5+  2  1 -1  3  2
Curve Equation t Generators 83205l1 [0,0,1,-133128,-25223596] 1 [28036:46193:64]
83205m (4 curves)	1	3- 5+ 43-	1 3- 5+  0 -4  6  2  0
Curve Equation t Generators 83205m1 [1,-1,0,24615,13542336] 2 [-5207640:214826493:64000] 83205m2 [1,-1,0,-724230,227861775] 4 [4185678:-1674776319:117649] 83205m3 [1,-1,0,-1972305,-767353230] 2 [-525938846429794:-1920880077228363:1218870934568] 83205m4 [1,-1,0,-11457675,14930534736] 2 [156:114582:1]
83205n (1 curve)	1	3- 5+ 43-	1 3- 5+ -3  5  0  2 -6
Curve Equation t Generators 83205n1 [1,-1,0,-4410,-100575] 1 [112:839:1]
83205o (1 curve)	1	3- 5- 43+	-1 3- 5-  3  5  0  2  6
Curve Equation t Generators 83205o1 [1,-1,1,-8154437,8086114086] 1 [3236:123189:1]
83205p (2 curves)	1	3- 5- 43+	-1 3- 5- -4 -4  2 -8  2
Curve Equation t Generators 83205p1 [1,-1,1,-6152,-4977646] 2 [312:-4994:1] 83205p2 [1,-1,1,-476357,-125162044] 2 [-384:1204:1]
83205q (1 curve)	0	3- 5- 43-	0 3- 5-  2  5 -5 -5  6
Curve Equation t 83205q1 [0,0,1,30197868,301898156512] 1
83205r (1 curve)	0	3- 5- 43-	1 3- 5- -1  5  2 -6  6
Curve Equation t 83205r1 [1,-1,0,-18729,-861030] 1
83205s (1 curve)	0	3- 5- 43-	1 3- 5-  4  0  2  4  6
Curve Equation t 83205s1 [1,-1,0,621,14278] 1
83205t (2 curves)	0	3- 5- 43-	1 3- 5- -4  2  2  0 -6
Curve Equation t 83205t1 [1,-1,0,-374769,86629608] 2 83205t2 [1,-1,0,41256,268099713] 2
83205u (8 curves)	0	3- 5- 43-	-1 3- 5-  0  4 -2 -2 -4
Curve Equation t 83205u1 [1,-1,1,-347,400106] 2 83205u2 [1,-1,1,-83552,9186554] 4 83205u3 [1,-1,1,-166757,-12080644] 4 83205u4 [1,-1,1,-1331627,591787964] 2 83205u5 [1,-1,1,582088,-91158676] 2 83205u6 [1,-1,1,-2246882,-1295101744] 4 83205u7 [1,-1,1,-1830857,-1789838674] 2 83205u8 [1,-1,1,-35944907,-82938676714] 2
83205v (1 curve)	0	3- 5- 43-	2 3- 5-  0 -5  1 -5 -4
Curve Equation t 83205v1 [0,0,1,-279241527,1824062772285] 1
83205w (1 curve)	0	3- 5- 43-	-2 3- 5-  4  3  5  7  0
Curve Equation t 83205w1 [0,0,1,160863,87994372] 1
83205x (1 curve)	0	3- 5- 43-	-2 3- 5- -4 -1  5  3  0
Curve Equation t 83205x1 [0,0,1,-299543547,-1995437208780] 1

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