Cremona's table of elliptic curves

17775 = 3² · 5² · 79

Class	r	Atkin-Lehner	Eigenvalues
17775a (1 curve)	1	3+ 5+ 79+	1 3+ 5+  0  0  5  7 -3
Curve Equation t Generators 17775a1 [1,-1,0,-12,-9] 1 [-2:3:1]
17775b (1 curve)	1	3+ 5+ 79+	1 3+ 5+  1  1  3 -3 -2
Curve Equation t Generators 17775b1 [1,-1,0,633,4166] 1 [14:118:1]
17775c (1 curve)	1	3+ 5+ 79+	1 3+ 5+  4  4 -3 -3 -7
Curve Equation t Generators 17775c1 [1,-1,0,-2557617,-1573711084] 1 [444207917728498700:39461164396410047948:53442048419963]
17775d (1 curve)	1	3+ 5+ 79+	-1 3+ 5+  0  0  5 -7 -3
Curve Equation t Generators 17775d1 [1,-1,1,-110,352] 1 [10:8:1]
17775e (1 curve)	1	3+ 5+ 79+	-1 3+ 5+  1 -1  3  3 -2
Curve Equation t Generators 17775e1 [1,-1,1,70,-178] 1 [4:10:1]
17775f (1 curve)	1	3+ 5+ 79+	-1 3+ 5+  4 -4 -3  3 -7
Curve Equation t Generators 17775f1 [1,-1,1,-284180,58380322] 1 [308:-154:1]
17775g (1 curve)	1	3+ 5+ 79+	2 3+ 5+  1 -4  3  0 -1
Curve Equation t Generators 17775g1 [0,0,1,-15,101] 1 [2:75:8]
17775h (1 curve)	1	3+ 5+ 79+	-2 3+ 5+  1  4  3  0 -1
Curve Equation t Generators 17775h1 [0,0,1,-135,-2734] 1 [19:39:1]
17775i (1 curve)	0	3+ 5- 79+	1 3+ 5-  0  0 -5  7 -3
Curve Equation t 17775i1 [1,-1,0,-2742,41291] 1
17775j (2 curves)	0	3+ 5- 79+	1 3+ 5-  4 -6  0 -6  4
Curve Equation t 17775j1 [1,-1,0,-177,656] 2 17775j2 [1,-1,0,498,4031] 2
17775k (1 curve)	2	3+ 5- 79+	1 3+ 5- -4 -4  3 -3 -7
Curve Equation t Generators 17775k1 [1,-1,0,-11367,469316] 1 [44:208:1]&[64:-2:1]
17775l (2 curves)	0	3+ 5- 79+	1 3+ 5- -4  6  0 -6  4
Curve Equation t 17775l1 [1,-1,0,-492,-2709] 2 17775l2 [1,-1,0,1383,-19584] 2
17775m (1 curve)	2	3+ 5- 79+	-1 3+ 5-  0  0 -5 -7 -3
Curve Equation t Generators 17775m1 [1,-1,1,-305,-1428] 1 [-7:21:1]&[-6:15:1]
17775n (2 curves)	0	3+ 5- 79+	-1 3+ 5-  4  6  0  6  4
Curve Equation t 17775n1 [1,-1,1,-20,-18] 2 17775n2 [1,-1,1,55,-168] 2
17775o (1 curve)	0	3+ 5- 79+	-1 3+ 5- -4  4  3  3 -7
Curve Equation t 17775o1 [1,-1,1,-102305,-12569228] 1
17775p (2 curves)	0	3+ 5- 79+	-1 3+ 5- -4 -6  0  6  4
Curve Equation t 17775p1 [1,-1,1,-4430,77572] 2 17775p2 [1,-1,1,12445,516322] 2
17775q (1 curve)	0	3+ 5- 79+	2 3+ 5- -1  4 -3  0 -1
Curve Equation t 17775q1 [0,0,1,-3375,-341719] 1
17775r (1 curve)	2	3+ 5- 79+	-2 3+ 5- -1 -4 -3  0 -1
Curve Equation t Generators 17775r1 [0,0,1,-375,12656] 1 [0:112:1]&[21:118:1]
17775s (1 curve)	0	3- 5+ 79+	1 3- 5+  3 -3  5  7  0
Curve Equation t 17775s1 [1,-1,0,-24192,1454841] 1
17775t (1 curve)	0	3- 5+ 79+	-1 3- 5+  1  2 -3 -6  4
Curve Equation t 17775t1 [1,-1,1,-455,-3328] 1
17775u (2 curves)	0	3- 5+ 79+	-1 3- 5+ -2 -4  6  0  4
Curve Equation t 17775u1 [1,-1,1,-9005,377372] 2 17775u2 [1,-1,1,-149630,22314872] 2
17775v (2 curves)	0	3- 5+ 79+	-1 3- 5+  4  2 -6  6  4
Curve Equation t 17775v1 [1,-1,1,9895,639272] 2 17775v2 [1,-1,1,-78980,7038272] 2
17775w (4 curves)	0	3- 5+ 79+	-1 3- 5+  4 -4 -6  6 -4
Curve Equation t 17775w1 [1,-1,1,-1505,-42128] 2 17775w2 [1,-1,1,-29630,-1954628] 4 17775w3 [1,-1,1,-474005,-125490878] 2 17775w4 [1,-1,1,-35255,-1155878] 2
17775x (1 curve)	0	3- 5+ 79+	-1 3- 5+ -5 -1 -3 -3  4
Curve Equation t 17775x1 [1,-1,1,29141995,-145903754878] 1
17775y (2 curves)	0	3- 5+ 79+	-2 3- 5+ -3  3 -4 -2  0
Curve Equation t 17775y1 [0,0,1,-11325,-470844] 1 17775y2 [0,0,1,67425,18980406] 1
17775z (2 curves)	1	3- 5+ 79-	0 3- 5+  1 -6 -5  6 -1
Curve Equation t Generators 17775z1 [0,0,1,20670,-1571504] 1 [1298:19679:8] 17775z2 [0,0,1,-198030,60353401] 1 [12962:505517:8]
17775ba (1 curve)	1	3- 5+ 79-	1 3- 5+ -2 -4  1 -3 -5
Curve Equation t Generators 17775ba1 [1,-1,0,-1782,-15309] 1 [270:4239:1]
17775bb (1 curve)	1	3- 5+ 79-	-1 3- 5+  1  3 -7 -5 -8
Curve Equation t Generators 17775bb1 [1,-1,1,35770,1554522] 1 [-10:1098:1]
17775bc (2 curves)	1	3- 5+ 79-	-1 3- 5+  4 -6  2 -2  4
Curve Equation t Generators 17775bc1 [1,-1,1,-5855,-177978] 2 [3960:247146:1] 17775bc2 [1,-1,1,-94730,-11198478] 2 [374:2175:1]
17775bd (1 curve)	0	3- 5- 79-	0 3- 5-  1 -1  0  6  4
Curve Equation t 17775bd1 [0,0,1,-30,-144] 1
17775be (1 curve)	0	3- 5- 79-	0 3- 5- -1 -1  0 -6  4
Curve Equation t 17775be1 [0,0,1,-750,-17969] 1
17775bf (2 curves)	0	3- 5- 79-	0 3- 5- -1 -6  5 -6 -1
Curve Equation t 17775bf1 [0,0,1,516750,-196437969] 1 17775bf2 [0,0,1,-4950750,7544175156] 3
17775bg (1 curve)	0	3- 5- 79-	-1 3- 5-  2 -4 -1  3 -5
Curve Equation t 17775bg1 [1,-1,1,-44555,-1958178] 1

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