Cremona's table of elliptic curves

6972 = 2² · 3 · 7 · 83

Class	r	Atkin-Lehner	Eigenvalues
6972a (2 curves)	1	2- 3- 7+ 83+	2- 3-  0 7+  4 -4  6 -4
Curve Equation t Generators 6972a1 [0,1,0,7,-108] 2 [16:66:1] 6972a2 [0,1,0,-308,-2124] 2 [170:297:8]
6972b (2 curves)	0	2- 3- 7- 83+	2- 3-  0 7-  0  5  3 -4
Curve Equation t 6972b1 [0,1,0,-238,1337] 3 6972b2 [0,1,0,62,4685] 1
6972c (2 curves)	1	2- 3- 7- 83-	2- 3-  0 7- -2 -2 -4  4
Curve Equation t Generators 6972c1 [0,1,0,-212513,77994084] 2 [4900:341628:1] 6972c2 [0,1,0,-4330228,3464402900] 2 [-1813:73206:1]
6972d (1 curve)	1	2- 3- 7- 83-	2- 3-  2 7-  2 -7  3 -8
Curve Equation t Generators 6972d1 [0,1,0,-82,-1243] 1 [29:147:1]
6972e (1 curve)	1	2- 3- 7- 83-	2- 3-  2 7- -6  3 -1  0
Curve Equation t Generators 6972e1 [0,1,0,-336602,75055113] 1 [742:-15309:1]
6972f (2 curves)	1	2- 3- 7- 83-	2- 3- -4 7-  0  0  2  0
Curve Equation t Generators 6972f1 [0,1,0,135,-1656] 2 [15:63:1] 6972f2 [0,1,0,-1580,-22236] 2 [-20:42:1]

Data from Elliptic Curve Data by J. E. Cremona.
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