Cremona's table of elliptic curves

87975 = 3² · 5² · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
87975a (1 curve)	1	3+ 5+ 17+ 23+	0 3+ 5+  3  0 -3 17+  0
Curve Equation t Generators 87975a1 [0,0,1,-150,-344] 1 [-10:12:1]
87975b (2 curves)	1	3+ 5+ 17+ 23+	1 3+ 5+  2 -4  6 17+  4
Curve Equation t Generators 87975b1 [1,-1,0,1683,-6784] 2 [262:2169:8] 87975b2 [1,-1,0,-6942,-49909] 2 [742:2129:8]
87975c (2 curves)	1	3+ 5+ 17+ 23+	-1 3+ 5+  2 -4 -2 17+  0
Curve Equation t Generators 87975c1 [1,-1,1,-2717255,-1766960378] 2 [67249:17400275:1] 87975c2 [1,-1,1,-43780880,-111488966378] 2 [717405722:184920357565:10648]
87975d (2 curves)	0	3+ 5+ 17+ 23-	0 3+ 5+  1  0  1 17+  8
Curve Equation t 87975d1 [0,0,1,-1117050,-423740594] 1 87975d2 [0,0,1,-88773300,-321937568719] 1
87975e (1 curve)	0	3+ 5+ 17+ 23-	-1 3+ 5+  2  5  1 17+  3
Curve Equation t 87975e1 [1,-1,1,-20630,-2226878] 1
87975f (1 curve)	0	3+ 5+ 17+ 23-	2 3+ 5+ -1  4 -1 17+ -2
Curve Equation t 87975f1 [0,0,1,-3675,67781] 1
87975g (2 curves)	0	3+ 5+ 17- 23+	0 3+ 5+  1  0  1 17-  8
Curve Equation t 87975g1 [0,0,1,-9863700,11923613656] 1 87975g2 [0,0,1,-10053450,11440996031] 1
87975h (1 curve)	0	3+ 5+ 17- 23+	1 3+ 5+  2 -5  1 17-  3
Curve Equation t 87975h1 [1,-1,0,-2292,83241] 1
87975i (1 curve)	2	3+ 5+ 17- 23+	-2 3+ 5+ -1 -4 -1 17- -2
Curve Equation t Generators 87975i1 [0,0,1,-33075,-1830094] 1 [360:5737:1]&[-126:580:1]
87975j (1 curve)	1	3+ 5+ 17- 23-	0 3+ 5+  3  0 -3 17-  0
Curve Equation t Generators 87975j1 [0,0,1,-1350,9281] 1 [105:1012:1]
87975k (2 curves)	1	3+ 5+ 17- 23-	1 3+ 5+  2  4 -2 17-  0
Curve Equation t Generators 87975k1 [1,-1,0,-301917,65543616] 2 [21396:77277:64] 87975k2 [1,-1,0,-4864542,4130842491] 2 [35958:-115729:27]
87975l (2 curves)	1	3+ 5+ 17- 23-	-1 3+ 5+  2  4  6 17-  4
Curve Equation t Generators 87975l1 [1,-1,1,15145,168022] 2 [110:1721:1] 87975l2 [1,-1,1,-62480,1410022] 2 [-92:2570:1]
87975m (1 curve)	0	3- 5+ 17+ 23+	1 3- 5+ -1  5  3 17+  1
Curve Equation t 87975m1 [1,-1,0,-4138242,3236502041] 1
87975n (1 curve)	0	3- 5+ 17+ 23+	1 3- 5+ -4 -1  0 17+ -2
Curve Equation t 87975n1 [1,-1,0,-7692,317591] 1
87975o (2 curves)	0	3- 5+ 17+ 23+	-1 3- 5+  2 -2  2 17+ -4
Curve Equation t 87975o1 [1,-1,1,-8469230,9510326772] 2 87975o2 [1,-1,1,-135593105,607755282522] 2
87975p (1 curve)	0	3- 5+ 17+ 23+	-1 3- 5+  2 -5 -1 17+ -1
Curve Equation t 87975p1 [1,-1,1,-4505,-115378] 1
87975q (1 curve)	1	3- 5+ 17+ 23-	0 3- 5+ -1 -2  1 17+ -6
Curve Equation t Generators 87975q1 [0,0,1,-380100,-42731969] 1 [-295:6612:1]
87975r (1 curve)	1	3- 5+ 17+ 23-	0 3- 5+  3 -6  5 17+  2
Curve Equation t Generators 87975r1 [0,0,1,-2126550,1187505031] 1 [-355:43562:1]
87975s (1 curve)	1	3- 5+ 17- 23+	0 3- 5+ -5 -2  1 17- -2
Curve Equation t Generators 87975s1 [0,0,1,-118650,-15199344] 1 [1910:82012:1]
87975t (4 curves)	1	3- 5+ 17- 23+	1 3- 5+  0  0  2 17-  4
Curve Equation t Generators 87975t1 [1,-1,0,-27567,-1754784] 2 [-133775376:66936099:1404928] 87975t2 [1,-1,0,-28692,-1602909] 4 [12918:255341:27] 87975t3 [1,-1,0,48933,-8822034] 2 [1854:79398:1] 87975t4 [1,-1,0,-124317,15322716] 2 [942:11679:8]
87975u (1 curve)	1	3- 5+ 17- 23+	1 3- 5+  2  3 -1 17- -5
Curve Equation t Generators 87975u1 [1,-1,0,3406383,6181947166] 1 [26542:1845679:8]
87975v (2 curves)	1	3- 5+ 17- 23+	1 3- 5+  2  6  2 17-  4
Curve Equation t Generators 87975v1 [1,-1,0,-27567,2155216] 2 [-1338:12169:8] 87975v2 [1,-1,0,-467442,123120841] 2 [23142:1200929:8]
87975w (1 curve)	1	3- 5+ 17- 23+	1 3- 5+  3 -3 -5 17-  1
Curve Equation t Generators 87975w1 [1,-1,0,-792,-6939] 1 [-12:33:1]
87975x (1 curve)	1	3- 5+ 17- 23+	1 3- 5+ -4  1  4 17-  6
Curve Equation t Generators 87975x1 [1,-1,0,-1041417,412093116] 1 [904:13998:1]
87975y (6 curves)	1	3- 5+ 17- 23+	-1 3- 5+  0  4  2 17-  4
Curve Equation t Generators 87975y1 [1,-1,1,-30380,-6348378] 2 [17204440:-1964378634:1331] 87975y2 [1,-1,1,-733505,-241192128] 4 [-636482:33225:1331] 87975y3 [1,-1,1,-986630,-59954628] 4 [-520:17931:1] 87975y4 [1,-1,1,-11730380,-15460867128] 2 [-540494174803:271377436650:273359449] 87975y5 [1,-1,1,3890245,-479365878] 2 [1605:98681:1] 87975y6 [1,-1,1,-9913505,11955619122] 4 [8064:-679570:1]
87975z (1 curve)	1	3- 5+ 17- 23+	-1 3- 5+  2  3 -1 17-  5
Curve Equation t Generators 87975z1 [1,-1,1,3820,118572] 1 [329:5910:1]
87975ba (4 curves)	1	3- 5+ 17- 23+	-1 3- 5+ -4  0  2 17- -4
Curve Equation t Generators 87975ba1 [1,-1,1,-687380,219524622] 4 [2504:117885:1] 87975ba2 [1,-1,1,-688505,218770872] 4 [-766:17595:1] 87975ba3 [1,-1,1,-266630,483708372] 2 [824:28275:1] 87975ba4 [1,-1,1,-1128380,-94420128] 2 [-835:16698:1]
87975bb (1 curve)	1	3- 5+ 17- 23+	2 3- 5+ -3 -2 -1 17-  4
Curve Equation t Generators 87975bb1 [0,0,1,-441075,112749781] 1 [2770:9921:8]
87975bc (1 curve)	1	3- 5+ 17- 23+	2 3- 5+  5 -6 -1 17- -4
Curve Equation t Generators 87975bc1 [0,0,1,-19425,776281] 1 [-2730:218017:216]
87975bd (1 curve)	1	3- 5+ 17- 23+	-2 3- 5+ -1  0  5 17- -8
Curve Equation t Generators 87975bd1 [0,0,1,-4125,-88844] 1 [-35:112:1]
87975be (1 curve)	0	3- 5+ 17- 23-	-1 3- 5+ -1  4  5 17- -2
Curve Equation t 87975be1 [1,-1,1,-1626680,-798168428] 1
87975bf (1 curve)	2	3- 5+ 17- 23-	-2 3- 5+ -1 -2 -5 17-  0
Curve Equation t Generators 87975bf1 [0,0,1,-62175,-5650344] 1 [-166:310:1]&[-145:562:1]
87975bg (1 curve)	1	3- 5- 17+ 23+	1 3- 5-  1  4 -5 17+ -2
Curve Equation t Generators 87975bg1 [1,-1,0,-65067,-6372334] 1 [1344010696511954:22338318841742712:2897907032593]
87975bh (2 curves)	1	3- 5- 17+ 23+	-1 3- 5-  2  0  4 17+  4
Curve Equation t Generators 87975bh1 [1,-1,1,1309945,11041388822] 2 [43344:9005890:1] 87975bh2 [1,-1,1,-67129430,205682971322] 2 [58092375:11906756396:1331]
87975bi (2 curves)	0	3- 5- 17+ 23-	1 3- 5-  2  0  4 17+ -4
Curve Equation t 87975bi1 [1,-1,0,468,-9149] 2 87975bi2 [1,-1,0,-4707,-107474] 2
87975bj (1 curve)	2	3- 5- 17+ 23-	-1 3- 5- -3 -3  5 17+  1
Curve Equation t Generators 87975bj1 [1,-1,1,-19805,-887178] 1 [-106:165:1]&[-81:465:1]
87975bk (2 curves)	2	3- 5- 17- 23+	-1 3- 5- -2  0 -4 17- -4
Curve Equation t Generators 87975bk1 [1,-1,1,11695,-1131928] 2 [70:126:1]&[138:-1829:1] 87975bk2 [1,-1,1,-117680,-13551928] 2 [-252:355:1]&[-231:1240:1]
87975bl (2 curves)	1	3- 5- 17- 23-	1 3- 5- -2  0 -4 17-  4
Curve Equation t Generators 87975bl1 [1,-1,0,52398,88320631] 2 [-1178:70969:8] 87975bl2 [1,-1,0,-2685177,1646000806] 2 [698:10208:1]
87975bm (1 curve)	1	3- 5- 17- 23-	-1 3- 5-  1  5 -3 17-  1
Curve Equation t Generators 87975bm1 [1,-1,1,-165530,25925122] 1 [214:410:1]

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