Cremona's table of elliptic curves

38775 = 3 · 5² · 11 · 47

Class	r	Atkin-Lehner	Eigenvalues
38775a (1 curve)	1	3+ 5+ 11+ 47+	2 3+ 5+ -5 11+ -7  0  5
Curve Equation t Generators 38775a1 [0,-1,1,-18048,-929437] 1 [3616180:72909027:8000]
38775b (1 curve)	0	3+ 5+ 11- 47+	0 3+ 5+  2 11- -3  0  2
Curve Equation t 38775b1 [0,-1,1,-564033,-216426157] 1
38775c (1 curve)	0	3+ 5+ 11- 47+	1 3+ 5+ -1 11-  3  6 -2
Curve Equation t 38775c1 [1,1,0,-95750,-23152875] 1
38775d (6 curves)	1	3+ 5+ 11- 47-	1 3+ 5+  0 11- -6 -2  4
Curve Equation t Generators 38775d1 [1,1,0,19375,14850000] 2 [63372:-3109838:27] 38775d2 [1,1,0,-800750,266628375] 4 [414:2301:1] 38775d3 [1,1,0,-2025875,-746550000] 4 [-62604:1140465:64] 38775d4 [1,1,0,-12697625,17410025250] 2 [1726:24426:1] 38775d5 [1,1,0,5708500,-5070065625] 2 [1850:107825:1] 38775d6 [1,1,0,-29362250,-61241947875] 2 [-45256088124:-18805807641:14526784]
38775e (2 curves)	1	3+ 5+ 11- 47-	1 3+ 5+ -2 11- -6  2 -2
Curve Equation t Generators 38775e1 [1,1,0,-275,0] 2 [16:-4:1] 38775e2 [1,1,0,1100,1375] 2 [30:235:1]
38775f (2 curves)	0	3+ 5- 11+ 47+	1 3+ 5-  4 11+  6 -6  4
Curve Equation t 38775f1 [1,1,0,-40,475] 2 38775f2 [1,1,0,-1215,15750] 2
38775g (2 curves)	2	3+ 5- 11+ 47+	-1 3+ 5- -2 11+ -6  2  0
Curve Equation t Generators 38775g1 [1,1,1,-33,6] 2 [-50:51:8]&[-6:8:1] 38775g2 [1,1,1,-308,-2194] 2 [-11:8:1]&[-10:7:1]
38775h (1 curve)	0	3+ 5- 11+ 47+	-2 3+ 5-  1 11+  0  0 -8
Curve Equation t 38775h1 [0,-1,1,-13458,-596932] 1
38775i (2 curves)	1	3+ 5- 11- 47+	1 3+ 5-  2 11- -2  6  4
Curve Equation t Generators 38775i1 [1,1,0,-85200,-424125] 2 [866:23571:1] 38775i2 [1,1,0,-917075,336485250] 2 [610:1820:1]
38775j (1 curve)	0	3- 5+ 11+ 47+	2 3- 5+ -5 11+ -6 -2 -4
Curve Equation t 38775j1 [0,1,1,1342,-60781] 1
38775k (1 curve)	1	3- 5+ 11+ 47-	-1 3- 5+ -3 11+ -5  2 -6
Curve Equation t Generators 38775k1 [1,0,0,-88,-2083] 1 [17:29:1]
38775l (4 curves)	1	3- 5+ 11- 47+	1 3- 5+  0 11- -2 -2  4
Curve Equation t Generators 38775l1 [1,0,1,599,1823] 2 [72015216:-612374447:1404928] 38775l2 [1,0,1,-2526,14323] 4 [-843:7184:27] 38775l3 [1,0,1,-23151,-1346927] 2 [880443718:-10171146691:3652264] 38775l4 [1,0,1,-31901,2188073] 4 [-117:2137:1]
38775m (2 curves)	1	3- 5+ 11- 47+	1 3- 5+  2 11-  6 -6  2
Curve Equation t Generators 38775m1 [1,0,1,-71526,-6642677] 2 [1823:76044:1] 38775m2 [1,0,1,94849,-32929927] 2 [261:2971:1]
38775n (1 curve)	1	3- 5+ 11- 47+	-2 3- 5+ -1 11- -6 -6 -4
Curve Equation t Generators 38775n1 [0,1,1,-241758,78351644] 1 [198:-6188:1]
38775o (2 curves)	0	3- 5- 11+ 47-	1 3- 5-  2 11+  6 -2  0
Curve Equation t 38775o1 [1,0,1,-826,2423] 2 38775o2 [1,0,1,-7701,-258827] 2
38775p (2 curves)	0	3- 5- 11+ 47-	-1 3- 5- -4 11+ -6  6  4
Curve Equation t 38775p1 [1,0,0,-1013,61392] 2 38775p2 [1,0,0,-30388,2029517] 2
38775q (1 curve)	0	3- 5- 11+ 47-	2 3- 5- -1 11+  0  0 -8
Curve Equation t 38775q1 [0,1,1,-538,-4991] 1
38775r (1 curve)	0	3- 5- 11+ 47-	-2 3- 5-  5 11+  7  0  5
Curve Equation t 38775r1 [0,1,1,-451208,-117082006] 1
38775s (2 curves)	1	3- 5- 11- 47-	-1 3- 5- -2 11-  2 -6  4
Curve Equation t Generators 38775s1 [1,0,0,-3408,-3393] 2 [63:150:1] 38775s2 [1,0,0,-36683,2691882] 2 [151:-851:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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