Cremona's table of elliptic curves

8268 = 2² · 3 · 13 · 53

Class	r	Atkin-Lehner	Eigenvalues
8268a (2 curves)	1	2- 3+ 13+ 53-	2- 3+  0  2 -2 13+  2  0
Curve Equation t Generators 8268a1 [0,-1,0,-573,3258] 2 [2:46:1] 8268a2 [0,-1,0,1812,21384] 2 [970:11339:8]
8268b (2 curves)	1	2- 3+ 13+ 53-	2- 3+  0 -2  6 13+  2 -4
Curve Equation t Generators 8268b1 [0,-1,0,-333,2430] 2 [9:9:1] 8268b2 [0,-1,0,-68,5928] 2 [-6:78:1]
8268c (2 curves)	2	2- 3+ 13- 53-	2- 3+ -2 -2 -4 13- -6 -4
Curve Equation t Generators 8268c1 [0,-1,0,-1209,10170] 2 [-34:104:1]&[-23:159:1] 8268c2 [0,-1,0,-8364,-284616] 2 [-50:78:1]&[-46:26:1]
8268d (1 curve)	1	2- 3- 13+ 53+	2- 3-  2 -2  5 13+  0 -7
Curve Equation t Generators 8268d1 [0,1,0,83,-97] 1 [2:9:1]
8268e (2 curves)	0	2- 3- 13+ 53-	2- 3- -2  2  6 13+ -2  2
Curve Equation t 8268e1 [0,1,0,-12169,-520768] 2 8268e2 [0,1,0,-12124,-524764] 2
8268f (2 curves)	1	2- 3- 13- 53-	2- 3-  2 -2  0 13- -6  4
Curve Equation t Generators 8268f1 [0,1,0,-4297,106628] 2 [32:54:1] 8268f2 [0,1,0,-68692,6906740] 2 [203:1170:1]

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

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