Cremona's table of elliptic curves

448 = 2⁶ · 7

Class	r	Atkin-Lehner	Eigenvalues
448a (4 curves)	1	2+ 7+	2+  0 -2 7+  4 -2 -6 -8
Curve Equation t Generators 448a1 [0,0,0,4,16] 2 [0:4:1] 448a2 [0,0,0,-76,240] 4 [-3:21:1] 448a3 [0,0,0,-236,-1104] 2 [-10:16:1] 448a4 [0,0,0,-1196,15920] 4 [29:75:1]
448c (6 curves)	0	2+ 7-	2+  2  0 7-  0  4  6 -2
Curve Equation t 448c1 [0,-1,0,-33,161] 2 448c2 [0,-1,0,-673,6945] 2 448c3 [0,-1,0,287,-3231] 2 448c4 [0,-1,0,-2273,-33439] 2 448c5 [0,-1,0,-10913,-436447] 2 448c6 [0,-1,0,-174753,-28059871] 2
448h (2 curves)	0	2+ 7-	2+ -2  4 7-  0  0 -2  2
Curve Equation t 448h1 [0,1,0,-1,-33] 2 448h2 [0,1,0,-161,-833] 2
448d (2 curves)	0	2- 7+	2-  2  0 7+  4  4 -2  6
Curve Equation t 448d1 [0,-1,0,7,-7] 2 448d2 [0,-1,0,-33,-31] 2
448e (2 curves)	0	2- 7+	2-  2  4 7+  0  0 -2 -2
Curve Equation t 448e1 [0,-1,0,-1,33] 2 448e2 [0,-1,0,-161,833] 2
448f (6 curves)	0	2- 7+	2- -2  0 7+  0  4  6  2
Curve Equation t 448f1 [0,1,0,-33,-161] 2 448f2 [0,1,0,-673,-6945] 2 448f3 [0,1,0,287,3231] 2 448f4 [0,1,0,-2273,33439] 2 448f5 [0,1,0,-10913,436447] 2 448f6 [0,1,0,-174753,28059871] 2
448b (4 curves)	1	2- 7-	2-  0 -2 7- -4 -2 -6  8
Curve Equation t Generators 448b1 [0,0,0,4,-16] 2 [4:8:1] 448b2 [0,0,0,-76,-240] 4 [12:24:1] 448b3 [0,0,0,-1196,-15920] 2 [124:1320:1] 448b4 [0,0,0,-236,1104] 4 [-16:28:1]
448g (2 curves)	1	2- 7-	2- -2  0 7- -4  4 -2 -6
Curve Equation t Generators 448g1 [0,1,0,7,7] 2 [1:4:1] 448g2 [0,1,0,-33,31] 2 [-1:8:1]

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

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