Cremona's table of elliptic curves

13671 = 3² · 7² · 31

Class	r	Atkin-Lehner	Eigenvalues
13671a (1 curve)	1	3+ 7+ 31+	0 3+  0 7+  5 -2 -5  3
Curve Equation t Generators 13671a1 [0,0,1,-41160,-124252] 1 [-26:963:1]
13671b (1 curve)	1	3+ 7+ 31+	0 3+  0 7+ -5 -2  5  3
Curve Equation t Generators 13671b1 [0,0,1,-370440,3354797] 1 [15705:1966666:1]
13671c (1 curve)	1	3+ 7- 31-	0 3+  0 7-  5  2  5 -3
Curve Equation t Generators 13671c1 [0,0,1,-840,362] 1 [30:46:1]
13671d (1 curve)	1	3+ 7- 31-	0 3+  0 7- -5  2 -5 -3
Curve Equation t Generators 13671d1 [0,0,1,-7560,-9781] 1 [-59:480:1]
13671e (1 curve)	1	3+ 7- 31-	0 3+  3 7-  4 -1 -2  0
Curve Equation t Generators 13671e1 [0,0,1,-2646,-62512] 1 [378:7276:1]
13671f (1 curve)	1	3+ 7- 31-	0 3+ -3 7- -4 -1  2  0
Curve Equation t Generators 13671f1 [0,0,1,-294,2315] 1 [21:73:1]
13671g (1 curve)	2	3- 7+ 31+	-2 3- -4 7+ -3  0  3 -1
Curve Equation t Generators 13671g1 [0,0,1,-147,306] 1 [-12:18:1]&[-7:31:1]
13671h (1 curve)	1	3- 7+ 31-	0 3-  2 7+ -1  4 -3 -1
Curve Equation t Generators 13671h1 [0,0,1,-16464,-40217] 1 [-19:515:1]
13671i (1 curve)	1	3- 7- 31+	0 3- -2 7- -1 -4  3  1
Curve Equation t Generators 13671i1 [0,0,1,-336,117] 1 [29:121:1]
13671j (3 curves)	1	3- 7- 31+	0 3- -3 7-  0 -5  0 -2
Curve Equation t Generators 13671j1 [0,0,1,9996,-836663] 1 [679:17860:1] 13671j2 [0,0,1,-466284,-122776250] 1 [868:11245:1] 13671j3 [0,0,1,-37788114,-89408938523] 1 [2090795:248686673:125]
13671k (2 curves)	1	3- 7- 31+	1 3-  0 7- -2 -2  2  4
Curve Equation t Generators 13671k1 [1,-1,0,-387,-2808] 2 [24:24:1] 13671k2 [1,-1,0,-702,2673] 2 [48:255:1]
13671l (2 curves)	1	3- 7- 31+	-1 3- -2 7-  2  4  0  4
Curve Equation t Generators 13671l1 [1,-1,1,1534,-47064] 2 [32:168:1] 13671l2 [1,-1,1,-13901,-534810] 2 [-82:261:1]
13671m (1 curve)	1	3- 7- 31+	2 3-  1 7-  4 -5  0  4
Curve Equation t Generators 13671m1 [0,0,1,-1407,-20421] 1 [9394:321737:8]
13671n (1 curve)	1	3- 7- 31+	-2 3-  3 7-  4  7 -4 -8
Curve Equation t Generators 13671n1 [0,0,1,178269,-29153322] 1 [1463:57991:1]
13671o (2 curves)	0	3- 7- 31-	1 3-  0 7- -2  2 -2 -4
Curve Equation t 13671o1 [1,-1,0,-18972,1001083] 2 13671o2 [1,-1,0,-34407,-848030] 2
13671p (4 curves)	0	3- 7- 31-	1 3- -2 7-  0  6  6  4
Curve Equation t 13671p1 [1,-1,0,15867,-781880] 2 13671p2 [1,-1,0,-92178,-7372625] 4 13671p3 [1,-1,0,-1342413,-598233686] 2 13671p4 [1,-1,0,-570663,160384216] 2
13671q (2 curves)	0	3- 7- 31-	-1 3- -2 7- -2 -4  8  4
Curve Equation t 13671q1 [1,-1,1,-2468066,-1497008824] 2 13671q2 [1,-1,1,-39527501,-95642797498] 2
13671r (2 curves)	0	3- 7- 31-	-1 3-  4 7- -2  2  2 -8
Curve Equation t 13671r1 [1,-1,1,-1553,13304] 2 13671r2 [1,-1,1,5062,92684] 2
13671s (1 curve)	0	3- 7- 31-	2 3- -1 7-  4  5  0 -4
Curve Equation t 13671s1 [0,0,1,-68943,7004317] 1
13671t (1 curve)	0	3- 7- 31-	-2 3- -3 7-  4 -7  4  8
Curve Equation t 13671t1 [0,0,1,8735181,9999589360] 1
13671u (1 curve)	0	3- 7- 31-	-2 3-  4 7- -3  0 -3  1
Curve Equation t 13671u1 [0,0,1,-7203,-105044] 1

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