Cremona's table of elliptic curves

21675 = 3 · 5² · 17²

Class	r	Atkin-Lehner	Eigenvalues
21675a (1 curve)	1	3+ 5+ 17+	0 3+ 5+ -1 -2 -1 17+ -1
Curve Equation t Generators 21675a1 [0,-1,1,120417,14602193] 1 [6445:572013:125]
21675b (1 curve)	1	3+ 5+ 17+	0 3+ 5+  2 -5 -4 17+  5
Curve Equation t Generators 21675b1 [0,-1,1,-1133,14918] 1 [2:112:1]
21675c (8 curves)	1	3+ 5+ 17+	1 3+ 5+  0  4  2 17+  4
Curve Equation t Generators 21675c1 [1,1,0,-150,114375] 2 [2730:27535:27] 21675c2 [1,1,0,-36275,2607000] 4 [-290:15895:8] 21675c3 [1,1,0,-72400,-3498125] 4 [-82490:1427371:1000] 21675c4 [1,1,0,-578150,168962625] 2 [1480:49835:1] 21675c5 [1,1,0,252725,-25931750] 2 [7770:682490:1] 21675c6 [1,1,0,-975525,-371070000] 4 [-4079087811930:-968004770853:7189057000] 21675c7 [1,1,0,-794900,-512499375] 2 [4489086650579418468665570:-289763167369809303615018103:1040873572088649307000] 21675c8 [1,1,0,-15606150,-23736178125] 2 [-11409893454646466052175330:5712772087479738036262007:5001728761440947717000]
21675d (2 curves)	1	3+ 5+ 17+	1 3+ 5+ -4 -4 -2 17+  4
Curve Equation t Generators 21675d1 [1,1,0,-166325,18213000] 2 [-136:6260:1] 21675d2 [1,1,0,447800,122000125] 2 [1408144:72191635:4096]
21675e (1 curve)	1	3+ 5+ 17+	-1 3+ 5+ -2  4  1 17+  0
Curve Equation t Generators 21675e1 [1,1,1,-252303,9007266] 1 [-378936:343142:729]
21675f (1 curve)	1	3+ 5+ 17+	2 3+ 5+  1 -2  7 17+  3
Curve Equation t Generators 21675f1 [0,-1,1,-31308,-2763817] 1 [333581392607152382:-9109874397693471037:421841250899992]
21675g (1 curve)	1	3+ 5+ 17+	2 3+ 5+  4  1  4 17+ -3
Curve Equation t Generators 21675g1 [0,-1,1,-16008,-106207] 1 [14106:590621:8]
21675h (2 curves)	1	3+ 5+ 17+	-2 3+ 5+  2  5  1 17+ -5
Curve Equation t Generators 21675h1 [0,-1,1,142,-382] 1 [6:25:1] 21675h2 [0,-1,1,-21108,-1173382] 1 [4298:95417:8]
21675i (2 curves)	1	3+ 5+ 17+	-2 3+ 5+ -3 -2 -1 17+ -5
Curve Equation t Generators 21675i1 [0,-1,1,482,17808] 1 [6:144:1] 21675i2 [0,-1,1,-60208,-5808432] 1 [2394:13579:8]
21675j (2 curves)	0	3+ 5+ 17-	0 3+ 5+ -2 -3  4 17-  5
Curve Equation t 21675j1 [0,-1,1,-110783,903593] 1 21675j2 [0,-1,1,-5963033,-5602625782] 1
21675k (2 curves)	0	3+ 5- 17+	1 3+ 5-  4 -6  4 17+  4
Curve Equation t 21675k1 [1,1,0,-21825,-87561000] 2 21675k2 [1,1,0,-3092450,-2068114125] 2
21675l (1 curve)	2	3+ 5- 17+	-2 3+ 5- -2 -3  4 17+  1
Curve Equation t Generators 21675l1 [0,-1,1,-28,-42] 1 [-3:2:1]&[-2:1:1]
21675m (1 curve)	1	3+ 5- 17-	1 3+ 5- -2 -4 -1 17-  0
Curve Equation t Generators 21675m1 [1,1,0,-21825,222750] 1 [10:70:1]
21675n (1 curve)	1	3+ 5- 17-	2 3+ 5- -2  3 -4 17-  1
Curve Equation t Generators 21675n1 [0,-1,1,-204708,-31348807] 1 [-2502:11267:8]
21675o (2 curves)	0	3- 5+ 17+	0 3- 5+  2  3  4 17+  5
Curve Equation t 21675o1 [0,1,1,-32016383,4247255519] 1 21675o2 [0,1,1,-1723316633,-27536040365356] 1
21675p (2 curves)	0	3- 5+ 17+	0 3- 5+ -4  3  1 17+ -1
Curve Equation t 21675p1 [0,1,1,4817,-618206] 1 21675p2 [0,1,1,-428683,-108234581] 1
21675q (2 curves)	0	3- 5+ 17+	1 3- 5+  4  4 -2 17+  4
Curve Equation t 21675q1 [1,0,1,-576,3673] 2 21675q2 [1,0,1,1549,24923] 2
21675r (2 curves)	0	3- 5+ 17+	-2 3- 5+ -2 -5  1 17+ -5
Curve Equation t 21675r1 [0,1,1,40942,-1629706] 1 21675r2 [0,1,1,-6100308,-5801426206] 1
21675s (1 curve)	1	3- 5+ 17-	0 3- 5+ -2  5 -4 17-  5
Curve Equation t Generators 21675s1 [0,1,1,-327533,71328344] 1 [-482:10837:1]
21675t (1 curve)	1	3- 5+ 17-	-1 3- 5+  2 -4  1 17-  0
Curve Equation t Generators 21675t1 [1,0,0,-873,1782] 1 [-27:90:1]
21675u (1 curve)	1	3- 5+ 17-	2 3- 5+ -4 -1  4 17- -3
Curve Equation t Generators 21675u1 [0,1,1,-4626408,-549552031] 1 [-966:21671:8]
21675v (1 curve)	1	3- 5- 17+	0 3- 5-  1 -2  1 17+ -1
Curve Equation t Generators 21675v1 [0,1,1,4817,118744] 1 [7462:165859:343]
21675w (1 curve)	1	3- 5- 17+	1 3- 5-  2  4 -1 17+  0
Curve Equation t Generators 21675w1 [1,0,1,-6307576,1138523423] 1 [-6595:4797706:125]
21675x (2 curves)	1	3- 5- 17+	-1 3- 5- -4 -6 -4 17+  4
Curve Equation t Generators 21675x1 [1,0,0,-873,-700488] 2 [177:2079:1] 21675x2 [1,0,0,-123698,-16544913] 2 [-197:532:1]
21675y (1 curve)	1	3- 5- 17+	2 3- 5-  2 -3 -4 17+  1
Curve Equation t Generators 21675y1 [0,1,1,-708,-6631] 1 [-988:1843:64]
21675z (2 curves)	1	3- 5- 17+	2 3- 5-  3 -2  1 17+ -5
Curve Equation t Generators 21675z1 [0,1,1,-2408,-47431] 1 [354102:3687713:2744] 21675z2 [0,1,1,12042,2250119] 1 [3114:65021:8]
21675ba (1 curve)	1	3- 5- 17+	-2 3- 5- -1 -2 -7 17+  3
Curve Equation t Generators 21675ba1 [0,1,1,-782708,-347042506] 1 [9004:850093:1]
21675bb (1 curve)	0	3- 5- 17-	-2 3- 5-  2  3  4 17-  1
Curve Equation t 21675bb1 [0,1,1,-8188,-254066] 1

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