Cremona's table of elliptic curves

15582 = 2 · 3 · 7² · 53

Class	r	Atkin-Lehner	Eigenvalues
15582a (1 curve)	0	2+ 3+ 7+ 53-	2+ 3+  2 7+ -3  5  7  6
Curve Equation t 15582a1 [1,1,0,-674559,-213524667] 1
15582b (2 curves)	2	2+ 3+ 7- 53+	2+ 3+  0 7- -2 -4 -2 -4
Curve Equation t Generators 15582b1 [1,1,0,-60,-48] 2 [-7:13:1]&[-1:4:1] 15582b2 [1,1,0,-620,5664] 2 [-25:92:1]&[-4:92:1]
15582c (2 curves)	0	2+ 3+ 7- 53+	2+ 3+  0 7- -3  4 -6 -5
Curve Equation t 15582c1 [1,1,0,-2965,-63419] 1 15582c2 [1,1,0,2180,-245552] 1
15582d (1 curve)	0	2+ 3+ 7- 53+	2+ 3+  1 7-  3  6  3  2
Curve Equation t 15582d1 [1,1,0,3993,25173] 1
15582e (4 curves)	2	2+ 3+ 7- 53+	2+ 3+ -2 7-  0 -2 -2 -4
Curve Equation t Generators 15582e1 [1,1,0,-1201,-16379] 2 [-21:22:1]&[41:53:1] 15582e2 [1,1,0,-2181,12825] 4 [-48:123:1]&[-43:193:1] 15582e3 [1,1,0,-28151,1804755] 2 [-113:1943:1]&[13:1194:1] 15582e4 [1,1,0,8109,109551] 2 [-1:319:1]&[293:5121:1]
15582f (1 curve)	0	2+ 3+ 7- 53+	2+ 3+  4 7- -3  3  3  2
Curve Equation t 15582f1 [1,1,0,-20458,-607760] 1
15582g (1 curve)	2	2+ 3- 7+ 53+	2+ 3- -4 7+ -3 -3 -3 -2
Curve Equation t Generators 15582g1 [1,0,1,-418,1712] 1 [-20:56:1]&[-17:71:1]
15582h (2 curves)	1	2+ 3- 7- 53+	2+ 3-  0 7- -2  4  2  4
Curve Equation t Generators 15582h1 [1,0,1,-2966,7592] 2 [27156:846481:27] 15582h2 [1,0,1,-30406,-2033944] 2 [225:1477:1]
15582i (1 curve)	1	2+ 3- 7- 53+	2+ 3-  1 7- -1  2  7 -2
Curve Equation t Generators 15582i1 [1,0,1,317,4064] 1 [4:71:1]
15582j (1 curve)	1	2+ 3- 7- 53+	2+ 3-  1 7- -1 -2 -1  2
Curve Equation t Generators 15582j1 [1,0,1,-1824933,-949047536] 1 [132375543850:-10367094917787:20796875]
15582k (4 curves)	1	2+ 3- 7- 53+	2+ 3- -2 7- -4 -2  2 -4
Curve Equation t Generators 15582k1 [1,0,1,-93077,10917344] 2 [186:127:1] 15582k2 [1,0,1,-108757,6984800] 4 [-101:4166:1] 15582k3 [1,0,1,-835917,-289405616] 2 [-472:456:1] 15582k4 [1,0,1,367523,51755120] 2 [466:17774:1]
15582l (1 curve)	2	2+ 3- 7- 53-	2+ 3- -2 7- -3 -5 -7 -6
Curve Equation t Generators 15582l1 [1,0,1,-13767,620554] 1 [-121:780:1]&[62:48:1]
15582m (2 curves)	0	2+ 3- 7- 53-	2+ 3- -2 7-  4  0  6  8
Curve Equation t 15582m1 [1,0,1,-6347,-256714] 2 15582m2 [1,0,1,-110227,-14093530] 2
15582n (2 curves)	2	2+ 3- 7- 53-	2+ 3- -2 7- -6 -2 -4  0
Curve Equation t Generators 15582n1 [1,0,1,1003,-12400] 2 [15:70:1]&[39:274:1] 15582n2 [1,0,1,-5857,-119416] 2 [-59:176:1]&[-38:239:1]
15582o (1 curve)	0	2+ 3- 7- 53-	2+ 3- -4 7- -1  4 -6  1
Curve Equation t 15582o1 [1,0,1,6932,-40918] 1
15582p (1 curve)	0	2- 3+ 7+ 53+	2- 3+ -4 7+  5  5  1 -2
Curve Equation t 15582p1 [1,1,1,-2402765,1422430211] 1
15582q (1 curve)	1	2- 3+ 7+ 53-	2- 3+  2 7+  1 -3  3 -2
Curve Equation t Generators 15582q1 [1,1,1,-1422,3723] 1 [-29:161:1]
15582r (2 curves)	0	2- 3+ 7- 53-	2- 3+  0 7- -2  0  6 -4
Curve Equation t 15582r1 [1,1,1,-945358,336966923] 2 15582r2 [1,1,1,-2701518,-1280105205] 2
15582s (1 curve)	0	2- 3+ 7- 53-	2- 3+  3 7- -1  4  3  8
Curve Equation t 15582s1 [1,1,1,-36359,-2792707] 1
15582t (1 curve)	0	2- 3- 7- 53+	2- 3-  0 7-  5  0 -2  1
Curve Equation t 15582t1 [1,0,0,97,2631] 1
15582u (2 curves)	0	2- 3- 7- 53+	2- 3-  2 7-  0  4 -2  0
Curve Equation t 15582u1 [1,0,0,3478,97152] 2 15582u2 [1,0,0,-22492,964550] 2
15582v (2 curves)	0	2- 3- 7- 53+	2- 3-  2 7-  2  6  4 -8
Curve Equation t 15582v1 [1,0,0,212490018,-1831880686140] 2 15582v2 [1,0,0,-1585817822,-19465727703612] 2
15582w (1 curve)	0	2- 3- 7- 53+	2- 3-  4 7-  5 -5 -1  2
Curve Equation t 15582w1 [1,0,0,-49036,-4154032] 1
15582x (2 curves)	1	2- 3- 7- 53-	2- 3-  0 7- -2  0 -6  4
Curve Equation t Generators 15582x1 [1,0,0,-19293,-985167] 2 [-78:255:1] 15582x2 [1,0,0,-55133,3724209] 2 [-170:2947:1]
15582y (1 curve)	1	2- 3- 7- 53-	2- 3- -1 7- -1  0  7  4
Curve Equation t Generators 15582y1 [1,0,0,132789,31178097] 1 [522:-15843:1]
15582z (1 curve)	1	2- 3- 7- 53-	2- 3- -2 7-  1  3 -3  2
Curve Equation t Generators 15582z1 [1,0,0,-29,-15] 1 [-2:7:1]
15582ba (1 curve)	1	2- 3- 7- 53-	2- 3-  3 7- -5  2 -5 -6
Curve Equation t Generators 15582ba1 [1,0,0,-589,-17263] 1 [74:551:1]

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