Cremona's table of elliptic curves

17864 = 2³ · 7 · 11 · 29

Class	r	Atkin-Lehner	Eigenvalues
17864a (1 curve)	0	2+ 7+ 11+ 29-	2+  3  4 7+ 11+ -2  6 -5
Curve Equation t 17864a1 [0,0,0,-51628,4515380] 1
17864b (2 curves)	0	2+ 7+ 11- 29+	2+  0  0 7+ 11- -4 -4  8
Curve Equation t 17864b1 [0,0,0,-3755,-705962] 2 17864b2 [0,0,0,-144115,-20945874] 2
17864c (1 curve)	0	2+ 7+ 11- 29+	2+ -1  2 7+ 11-  5  6  0
Curve Equation t 17864c1 [0,-1,0,-110412,-14084387] 1
17864d (2 curves)	0	2+ 7+ 11- 29+	2+  2  2 7+ 11-  2  0  6
Curve Equation t 17864d1 [0,-1,0,-1167,15740] 2 17864d2 [0,-1,0,-1132,16692] 2
17864e (1 curve)	1	2+ 7+ 11- 29-	2+  1 -4 7+ 11- -1  2  2
Curve Equation t Generators 17864e1 [0,1,0,-1380,-19951] 1 [-20:7:1]
17864f (2 curves)	0	2+ 7- 11+ 29+	2+  2  0 7- 11+  2 -2  4
Curve Equation t 17864f1 [0,-1,0,-848,-9316] 2 17864f2 [0,-1,0,-13608,-606484] 2
17864g (2 curves)	1	2+ 7- 11- 29+	2+  0 -2 7- 11-  0  2  6
Curve Equation t Generators 17864g1 [0,0,0,-311,-5014] 2 [34:154:1] 17864g2 [0,0,0,-6691,-210450] 2 [150:1470:1]
17864h (1 curve)	1	2+ 7- 11- 29+	2+ -3 -2 7- 11-  3  2  0
Curve Equation t Generators 17864h1 [0,0,0,-31,19] 1 [-1:7:1]
17864i (1 curve)	0	2+ 7- 11- 29-	2+ -1  4 7- 11-  5 -2 -2
Curve Equation t 17864i1 [0,-1,0,-88716,-10141187] 1
17864j (1 curve)	0	2- 7+ 11+ 29+	2- -1  2 7+ 11+  3  4  2
Curve Equation t 17864j1 [0,-1,0,-147092,21762697] 1
17864k (2 curves)	0	2- 7+ 11- 29-	2-  0  0 7+ 11-  4  4  4
Curve Equation t 17864k1 [0,0,0,205,-642] 2 17864k2 [0,0,0,-955,-5514] 2
17864l (1 curve)	0	2- 7+ 11- 29-	2-  1 -2 7+ 11- -1  8 -6
Curve Equation t 17864l1 [0,1,0,-19024,992005] 1
17864m (1 curve)	1	2- 7- 11- 29-	2- -1  0 7- 11-  5  6 -6
Curve Equation t Generators 17864m1 [0,-1,0,-8,1] 1 [0:1:1]
17864n (1 curve)	1	2- 7- 11- 29-	2- -1  2 7- 11- -3  0  6
Curve Equation t Generators 17864n1 [0,-1,0,-232,-727] 1 [-4:11:1]
17864o (1 curve)	1	2- 7- 11- 29-	2- -1  3 7- 11- -4  2 -2
Curve Equation t Generators 17864o1 [0,-1,0,-3729,90181] 1 [-45:406:1]
17864p (1 curve)	1	2- 7- 11- 29-	2- -1 -3 7- 11-  2  0  6
Curve Equation t Generators 17864p1 [0,-1,0,142823,5528621] 1 [95:4466:1]

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