Cremona's table of elliptic curves

12173 = 7 · 37 · 47

Class	r	Atkin-Lehner	Eigenvalues
12173a (1 curve)	0	7+ 37+ 47-	2  2 -3 7+  5  5 -2  8
Curve Equation t 12173a1 [0,-1,1,-82,317] 1
12173b (1 curve)	2	7+ 37+ 47-	-2 -3 -3 7+  0  1 -4  5
Curve Equation t Generators 12173b1 [0,0,1,11,0] 1 [0:0:1]&[1:3:1]
12173c (1 curve)	1	7+ 37- 47-	0 -1 -1 7+ -2 -1 -6 -5
Curve Equation t Generators 12173c1 [0,-1,1,-88166821,318673718128] 1 [6218:4004913:8]
12173d (1 curve)	1	7+ 37- 47-	0 -1  3 7+ -2 -5  2 -1
Curve Equation t Generators 12173d1 [0,-1,1,-329,-2193] 1 [105:1053:1]
12173e (3 curves)	1	7- 37- 47+	0  1 -3 7-  0  5  0 -7
Curve Equation t Generators 12173e1 [0,1,1,-78107,8376025] 3 [806417:6252641:6859] 12173e2 [0,1,1,-77887,8425782] 3 [-174:4091:1] 12173e3 [0,1,1,266583,43563535] 1 [21246:1816685:216]

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