Cremona's table of elliptic curves

13167 = 3² · 7 · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
13167a (1 curve)	0	3+ 7- 11+ 19+	2 3+  2 7- 11+ -7  5 19+
Curve Equation t 13167a1 [0,0,1,351,-4057] 1
13167b (2 curves)	1	3+ 7- 11+ 19-	0 3+ -3 7- 11+ -4  0 19-
Curve Equation t Generators 13167b1 [0,0,1,-2124,37677] 3 [-1:199:1] 13167b2 [0,0,1,-2754,13520] 1 [-24:256:1]
13167c (1 curve)	1	3+ 7- 11- 19+	-2 3+ -2 7- 11- -7 -5 19+
Curve Equation t Generators 13167c1 [0,0,1,39,150] 1 [-1:10:1]
13167d (2 curves)	0	3+ 7- 11- 19-	0 3+  3 7- 11- -4  0 19-
Curve Equation t 13167d1 [0,0,1,-306,-501] 3 13167d2 [0,0,1,-19116,-1017286] 1
13167e (1 curve)	0	3- 7+ 11+ 19+	0 3- -1 7+ 11+  4  6 19+
Curve Equation t 13167e1 [0,0,1,-7698,214830] 1
13167f (1 curve)	0	3- 7+ 11+ 19+	0 3-  4 7+ 11+ -1  1 19+
Curve Equation t 13167f1 [0,0,1,33882,-2313234] 1
13167g (1 curve)	1	3- 7+ 11- 19+	0 3-  1 7+ 11- -4 -2 19+
Curve Equation t Generators 13167g1 [0,0,1,-8944662,5676575688] 1 [-3214:34996:1]
13167h (4 curves)	1	3- 7- 11+ 19+	-1 3- -2 7- 11+  2  2 19+
Curve Equation t Generators 13167h1 [1,-1,1,-942881,352633520] 4 [54:17347:1] 13167h2 [1,-1,1,-945086,350903036] 4 [1287:34924:1] 13167h3 [1,-1,1,-1669271,-260019430] 2 [11990:190457:8] 13167h4 [1,-1,1,-256181,851048066] 2 [4536720:177448027:4096]
13167i (2 curves)	1	3- 7- 11+ 19+	2 3- -1 7- 11+  4 -8 19+
Curve Equation t Generators 13167i1 [0,0,1,-16833,-839745] 1 [-590:185:8] 13167i2 [0,0,1,-472323,124884945] 1 [6438874:17728781:17576]
13167j (4 curves)	0	3- 7- 11- 19+	1 3- -2 7- 11-  2 -2 19+
Curve Equation t 13167j1 [1,-1,0,-693,22680] 2 13167j2 [1,-1,0,-16938,851175] 4 13167j3 [1,-1,0,-22923,201204] 2 13167j4 [1,-1,0,-270873,54329886] 2
13167k (1 curve)	0	3- 7- 11- 19+	2 3- -3 7- 11-  4  0 19+
Curve Equation t 13167k1 [0,0,1,-3909,83065] 1
13167l (1 curve)	0	3- 7- 11- 19+	-2 3-  1 7- 11- -4  4 19+
Curve Equation t 13167l1 [0,0,1,-10407,-408636] 1
13167m (2 curves)	1	3- 7- 11- 19-	0 3-  0 7- 11-  5  3 19-
Curve Equation t Generators 13167m1 [0,0,1,690,10944] 1 [146:1795:1] 13167m2 [0,0,1,-24960,1522755] 3 [-79:1732:1]
13167n (1 curve)	1	3- 7- 11- 19-	0 3- -1 7- 11-  0  6 19-
Curve Equation t Generators 13167n1 [0,0,1,-48,-95] 1 [-5:4:1]
13167o (4 curves)	1	3- 7- 11- 19-	-1 3-  2 7- 11- -2 -6 19-
Curve Equation t Generators 13167o1 [1,-1,1,31,4016] 2 [10:67:1] 13167o2 [1,-1,1,-3614,82748] 4 [6:244:1] 13167o3 [1,-1,1,-8069,-157822] 2 [-44:354:1] 13167o4 [1,-1,1,-57479,5318426] 2 [48:1609:1]

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