Cremona's table of elliptic curves

6489 = 3² · 7 · 103

Class	r	Atkin-Lehner	Eigenvalues
6489a (1 curve)	1	3+ 7- 103-	0 3+  2 7- -1 -2 -3  0
Curve Equation t Generators 6489a1 [0,0,1,36,318] 1 [-4:10:1]
6489b (1 curve)	1	3+ 7- 103-	0 3+ -2 7-  1 -2  3  0
Curve Equation t Generators 6489b1 [0,0,1,324,-8593] 1 [75:661:1]
6489c (2 curves)	1	3- 7+ 103-	1 3-  4 7+  2 -2 -6  4
Curve Equation t Generators 6489c1 [1,-1,0,-855,16848] 2 [-2880:20772:125] 6489c2 [1,-1,0,-16290,804033] 2 [-96:1263:1]
6489d (4 curves)	1	3- 7- 103+	1 3- -2 7-  0 -2  6 -4
Curve Equation t Generators 6489d1 [1,-1,0,27,-1944] 2 [264:4152:1] 6489d2 [1,-1,0,-2178,-37665] 4 [2126:32971:8] 6489d3 [1,-1,0,-34623,-2471040] 2 [3156010:37165505:10648] 6489d4 [1,-1,0,-5013,83106] 2 [-66:384:1]
6489e (3 curves)	0	3- 7- 103-	0 3-  0 7-  3 -4 -3  2
Curve Equation t 6489e1 [0,0,1,240,-4680] 1 6489e2 [0,0,1,-2190,136503] 3 6489e3 [0,0,1,-280290,57116412] 3
6489f (1 curve)	0	3- 7- 103-	0 3- -4 7-  5  0  3 -2
Curve Equation t 6489f1 [0,0,1,-1096122,441710811] 1
6489g (2 curves)	0	3- 7- 103-	1 3-  2 7- -6  2  4 -4
Curve Equation t 6489g1 [1,-1,0,-126,567] 2 6489g2 [1,-1,0,9,1620] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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