Cremona's table of elliptic curves

17391 = 3 · 11 · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
17391a (1 curve)	1	3+ 11+ 17- 31-	-1 3+  0  2 11+ -1 17- -5
Curve Equation t Generators 17391a1 [1,1,1,-13,32] 1 [2:3:1]
17391b (2 curves)	1	3+ 11- 17+ 31-	-1 3+ -4  0 11-  6 17+  6
Curve Equation t Generators 17391b1 [1,1,1,-655,-6724] 2 [34:91:1] 17391b2 [1,1,1,-570,-8424] 2 [52:299:1]
17391c (1 curve)	1	3+ 11- 17+ 31-	2 3+  0 -1 11-  0 17+ -4
Curve Equation t Generators 17391c1 [0,-1,1,-118,-1113] 1 [154:461:8]
17391d (2 curves)	0	3+ 11- 17- 31-	-1 3+  0  2 11-  0 17-  8
Curve Equation t 17391d1 [1,1,1,2282,-26590] 2 17391d2 [1,1,1,-11083,-245776] 2
17391e (2 curves)	0	3- 11+ 17+ 31+	-1 3- -4  2 11+ -4 17+  0
Curve Equation t 17391e1 [1,0,0,-1320,-19089] 2 17391e2 [1,0,0,-21285,-1197024] 2
17391f (2 curves)	1	3- 11+ 17+ 31-	1 3-  2  2 11+ -4 17+  6
Curve Equation t Generators 17391f1 [1,0,1,-9725,-276757] 2 [918:2327:8] 17391f2 [1,0,1,-54520,4668611] 2 [-11:2300:1]
17391g (2 curves)	1	3- 11+ 17- 31+	-1 3-  0  2 11+ -4 17- -4
Curve Equation t Generators 17391g1 [1,0,0,-573,-2232] 2 [-21:36:1] 17391g2 [1,0,0,2062,-16461] 2 [10:67:1]
17391h (1 curve)	1	3- 11- 17+ 31+	-1 3- -1 -4 11- -1 17+ -3
Curve Equation t Generators 17391h1 [1,0,0,-156,-423] 1 [-9:21:1]
17391i (1 curve)	2	3- 11- 17+ 31-	0 3- -2 -3 11- -6 17+ -2
Curve Equation t Generators 17391i1 [0,1,1,-439,-17582] 1 [32:46:1]&[38:148:1]
17391j (1 curve)	0	3- 11- 17+ 31-	1 3-  3  0 11- -1 17+  1
Curve Equation t 17391j1 [1,0,1,-122,-487] 1
17391k (1 curve)	2	3- 11- 17+ 31-	-2 3- -4 -1 11- -4 17+  0
Curve Equation t Generators 17391k1 [0,1,1,-26900,1758680] 1 [-164:1336:1]&[160:-1256:1]
17391l (4 curves)	0	3- 11- 17- 31+	-1 3-  2 -4 11-  2 17-  4
Curve Equation t 17391l1 [1,0,0,-352,2783] 4 17391l2 [1,0,0,-5797,169400] 4 17391l3 [1,0,0,-5962,159203] 2 17391l4 [1,0,0,-92752,10864865] 2

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