Cremona's table of elliptic curves

71487 = 3² · 13² · 47

Class	r	Atkin-Lehner	Eigenvalues
71487a (2 curves)	1	3+ 13+ 47+	0 3+  3  1 -3 13+ -6  4
Curve Equation t Generators 71487a1 [0,0,1,-298116,62608458] 1 [-442:10393:1] 71487a2 [0,0,1,-1012986,-322650871] 1 [-139497423:1868565055:226981]
71487b (2 curves)	1	3+ 13+ 47+	-1 3+  4 -2  0 13+  0 -8
Curve Equation t Generators 71487b1 [1,-1,1,-6623,208654] 2 [124:1070:1] 71487b2 [1,-1,1,-9158,36274] 2 [-16:430:1]
71487c (1 curve)	1	3+ 13+ 47+	-2 3+ -3 -1  3 13+  0  4
Curve Equation t Generators 71487c1 [0,0,1,-13689,-608020] 1 [-65:84:1]
71487d (2 curves)	0	3+ 13+ 47-	0 3+ -3  1  3 13+  6  4
Curve Equation t 71487d1 [0,0,1,-112554,11950032] 1 71487d2 [0,0,1,-2683044,-1690428373] 1
71487e (2 curves)	0	3+ 13+ 47-	1 3+ -4 -2  0 13+  0 -8
Curve Equation t 71487e1 [1,-1,0,-59604,-5574061] 2 71487e2 [1,-1,0,-82419,-896986] 2
71487f (1 curve)	0	3+ 13+ 47-	2 3+  3 -1 -3 13+  0  4
Curve Equation t 71487f1 [0,0,1,-1521,22519] 1
71487g (1 curve)	2	3- 13+ 47+	0 3- -1  3 -3 13+ -8  6
Curve Equation t Generators 71487g1 [0,0,1,-2028,9337] 1 [-286:1517:8]&[-35:193:1]
71487h (1 curve)	2	3- 13+ 47+	1 3- -3 -4 -2 13+ -7  2
Curve Equation t Generators 71487h1 [1,-1,0,729,6826] 1 [-6:50:1]&[46:823:8]
71487i (1 curve)	0	3- 13+ 47+	1 3- -4 -5 -5 13+  4  6
Curve Equation t 71487i1 [1,-1,0,376416,-127144211] 1
71487j (4 curves)	0	3- 13+ 47+	-1 3-  2  0  4 13+ -2  0
Curve Equation t 71487j1 [1,-1,1,-3074,-187144] 2 71487j2 [1,-1,1,-71519,-7332802] 4 71487j3 [1,-1,1,-94334,-2240494] 2 71487j4 [1,-1,1,-1143824,-470568562] 2
71487k (1 curve)	0	3- 13+ 47+	2 3- -1  3  1 13+ -2 -6
Curve Equation t 71487k1 [0,0,1,-40053,3085137] 1
71487l (1 curve)	0	3- 13+ 47+	2 3- -2 -2 -3 13+ -3  4
Curve Equation t 71487l1 [0,0,1,-1521,-74149] 1
71487m (1 curve)	1	3- 13+ 47-	1 3-  0 -3  1 13+  0 -6
Curve Equation t Generators 71487m1 [1,-1,0,-46422,4176225] 1 [192:1425:1]
71487n (1 curve)	1	3- 13+ 47-	-1 3-  0  1  5 13+ -4 -2
Curve Equation t Generators 71487n1 [1,-1,1,-286560995,-1867055543076] 1 [357505876600475705762:93248096933380520186043:4924626959966104]
71487o (2 curves)	1	3- 13+ 47-	-1 3-  0 -4  0 13+  6 -2
Curve Equation t Generators 71487o1 [1,-1,1,-12200,743370] 2 [36:573:1] 71487o2 [1,-1,1,-217535,39099948] 2 [114:3914:1]
71487p (1 curve)	1	3- 13+ 47-	-1 3-  3  4  2 13+ -7 -2
Curve Equation t Generators 71487p1 [1,-1,1,123169,15366264] 1 [5006:352551:1]
71487q (1 curve)	1	3- 13+ 47-	2 3-  3  1  5 13+  2 -2
Curve Equation t Generators 71487q1 [0,0,1,-52221,4398943] 1 [674:6179:8]
71487r (1 curve)	1	3- 13+ 47-	-2 3- -1  1  1 13+ -2  6
Curve Equation t Generators 71487r1 [0,0,1,-4892043,-4160526458] 1 [-1265:1903:1]
71487s (1 curve)	1	3- 13+ 47-	-2 3- -3  3 -5 13+  6  6
Curve Equation t Generators 71487s1 [0,0,1,-18759,-375138] 1 [-91:760:1]
71487t (1 curve)	1	3- 13- 47+	1 3-  2  1 -5 13-  8 -4
Curve Equation t Generators 71487t1 [1,-1,0,144,2029] 1 [-50:259:8]
71487u (2 curves)	1	3- 13- 47+	-2 3-  2 -2 -5 13- -7 -4
Curve Equation t Generators 71487u1 [0,0,1,-718419,234378706] 1 [338:5492:1] 71487u2 [0,0,1,2642991,1170037066] 1 [546377:403869017:1]
71487v (1 curve)	0	3- 13- 47-	-1 3- -2 -1  5 13-  8  4
Curve Equation t 71487v1 [1,-1,1,24304,4530660] 1
71487w (2 curves)	0	3- 13- 47-	2 3- -2  2  5 13- -7  4
Curve Equation t 71487w1 [0,0,1,-4251,106681] 1 71487w2 [0,0,1,15639,532561] 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
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