Cremona's table of elliptic curves

8673 = 3 · 7² · 59

Class	r	Atkin-Lehner	Eigenvalues
8673a (1 curve)	0	3+ 7- 59+	-1 3+ -1 7- -2  2 -3  5
Curve Equation t 8673a1 [1,1,1,-578691,-169685580] 1
8673b (1 curve)	2	3+ 7- 59+	-1 3+ -1 7- -6  2 -3 -7
Curve Equation t Generators 8673b1 [1,1,1,34,-610] 1 [14:46:1]&[24:109:1]
8673c (2 curves)	2	3+ 7- 59+	-1 3+ -4 7-  0 -4  0 -4
Curve Equation t Generators 8673c1 [1,1,1,-295,-1324] 2 [-8:28:1]&[-6:19:1] 8673c2 [1,1,1,-2010,32976] 2 [-15:252:1]&[-8:224:1]
8673d (1 curve)	1	3+ 7- 59-	-1 3+ -3 7-  4 -2 -1 -5
Curve Equation t Generators 8673d1 [1,1,1,13,20] 1 [0:4:1]
8673e (1 curve)	1	3+ 7- 59-	-2 3+ -2 7- -2 -5  0 -1
Curve Equation t Generators 8673e1 [0,-1,1,516,3926] 1 [7:88:1]
8673f (1 curve)	0	3- 7+ 59+	-1 3-  3 7+  4  2  1  5
Curve Equation t 8673f1 [1,0,0,636,-5013] 1
8673g (1 curve)	0	3- 7+ 59+	-2 3-  2 7+ -2  5  0  1
Curve Equation t 8673g1 [0,1,1,25268,-1397252] 1
8673h (1 curve)	1	3- 7+ 59-	-1 3-  1 7+ -2 -2  3 -5
Curve Equation t Generators 8673h1 [1,0,0,-11810,493023] 1 [69:54:1]
8673i (1 curve)	1	3- 7+ 59-	-1 3-  1 7+ -6 -2  3  7
Curve Equation t Generators 8673i1 [1,0,0,1665,214164] 1 [-45:243:1]

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