Cremona's table of elliptic curves

81075 = 3 · 5² · 23 · 47

Class	r	Atkin-Lehner	Eigenvalues
81075a (2 curves)	0	3+ 5+ 23+ 47-	1 3+ 5+ -2  0  0  2  4
Curve Equation t 81075a1 [1,1,0,-9000,325875] 2 81075a2 [1,1,0,-144125,21000000] 2
81075b (2 curves)	0	3+ 5+ 23+ 47-	1 3+ 5+  4 -4  0  0  4
Curve Equation t 81075b1 [1,1,0,-5025,135000] 2 81075b2 [1,1,0,-4400,170625] 2
81075c (1 curve)	0	3+ 5+ 23+ 47-	-2 3+ 5+ -2 -4 -6  3 -5
Curve Equation t 81075c1 [0,-1,1,-538158,-152189782] 1
81075d (2 curves)	0	3+ 5+ 23- 47+	-1 3+ 5+  0  4  4  0  0
Curve Equation t 81075d1 [1,1,1,-288463,-59532844] 2 81075d2 [1,1,1,-147838,-117470344] 2
81075e (1 curve)	0	3+ 5+ 23- 47+	2 3+ 5+ -2  0  2 -7  3
Curve Equation t 81075e1 [0,-1,1,92,-5157] 1
81075f (2 curves)	1	3+ 5+ 23- 47-	0 3+ 5+  4  0 -2  3 -1
Curve Equation t Generators 81075f1 [0,-1,1,-5583,162443] 1 [346:21:8] 81075f2 [0,-1,1,-1833,372068] 1 [32:-588:1]
81075g (2 curves)	1	3+ 5+ 23- 47-	-1 3+ 5+  2  0  0 -6 -4
Curve Equation t Generators 81075g1 [1,1,1,-438,-2094] 2 [-10:42:1] 81075g2 [1,1,1,1437,-13344] 2 [65:567:1]
81075h (1 curve)	2	3+ 5- 23+ 47+	0 3+ 5- -3 -6 -2 -3  0
Curve Equation t Generators 81075h1 [0,-1,1,-26083,-1663557] 1 [217:1687:1]&[433:8248:1]
81075i (1 curve)	1	3+ 5- 23- 47+	0 3+ 5- -1  0 -1 -2  3
Curve Equation t Generators 81075i1 [0,-1,1,-4641083,3867608318] 1 [1486:15815:1]
81075j (1 curve)	0	3+ 5- 23- 47-	0 3+ 5-  0  2 -4  7 -4
Curve Equation t 81075j1 [0,-1,1,167,1443] 1
81075k (1 curve)	0	3+ 5- 23- 47-	0 3+ 5- -1  0  3 -2 -1
Curve Equation t 81075k1 [0,-1,1,-2466083,-1489773232] 1
81075l (1 curve)	0	3+ 5- 23- 47-	0 3+ 5- -4  0  0 -5  5
Curve Equation t 81075l1 [0,-1,1,-1833,-33307] 1
81075m (1 curve)	0	3- 5+ 23+ 47+	0 3- 5+  0  2  4 -7 -4
Curve Equation t 81075m1 [0,1,1,7,14] 1
81075n (1 curve)	0	3- 5+ 23+ 47+	0 3- 5+  1  0 -3  2 -1
Curve Equation t 81075n1 [0,1,1,-61652083,-186344958131] 1
81075o (1 curve)	0	3- 5+ 23+ 47+	0 3- 5+  4  0  0  5  5
Curve Equation t 81075o1 [0,1,1,-73,-296] 1
81075p (2 curves)	0	3- 5+ 23+ 47+	-1 3- 5+ -2  0  4  6  4
Curve Equation t 81075p1 [1,0,0,6812,-1111633] 2 81075p2 [1,0,0,-128313,-16651008] 2
81075q (1 curve)	1	3- 5+ 23+ 47-	0 3- 5+  1  0  1  2  3
Curve Equation t Generators 81075q1 [0,1,1,-185643,30866609] 1 [279:-932:1]
81075r (4 curves)	1	3- 5+ 23+ 47-	1 3- 5+ -4 -4 -6 -2  4
Curve Equation t Generators 81075r1 [1,0,1,-10276,-153427] 2 [163:1502:1] 81075r2 [1,0,1,-88401,10002823] 4 [1006:6993:8] 81075r3 [1,0,1,-16526,25815323] 2 [3:5074:1] 81075r4 [1,0,1,-1410276,644502823] 2 [5518:-1239:8]
81075s (2 curves)	1	3- 5+ 23+ 47-	-1 3- 5+ -2  4  2  0 -4
Curve Equation t Generators 81075s1 [1,0,0,-788,6567] 2 [-23:124:1] 81075s2 [1,0,0,-4163,-98058] 2 [-38:94:1]
81075t (4 curves)	1	3- 5+ 23- 47+	1 3- 5+  4 -4  2  6 -4
Curve Equation t Generators 81075t1 [1,0,1,-9676,-1759627] 2 [1092112:15120521:4096] 81075t2 [1,0,1,-285801,-58641377] 4 [8686:237153:8] 81075t3 [1,0,1,-420926,2435123] 2 [-4554:63023:8] 81075t4 [1,0,1,-4568676,-3759045377] 2 [2913110:-88951539:1000]
81075u (1 curve)	1	3- 5- 23- 47-	0 3- 5-  3 -6  2  3  0
Curve Equation t Generators 81075u1 [0,1,1,-1043,-13726] 1 [58:-353:1]

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

Part of Computational Number Theory
Back to Tables and computations