Cremona's table of elliptic curves

1424 = 2⁴ · 89

Class	r	Atkin-Lehner	Eigenvalues
1424a (2 curves)	0	2+ 89-	2+  2  2  4  0  4  2 -2
Curve Equation t 1424a1 [0,-1,0,-32,80] 2 1424a2 [0,-1,0,-72,-112] 2
1424b (1 curve)	0	2- 89+	2-  1 -1  4  2  2  3  5
Curve Equation t 1424b1 [0,1,0,-16,-44] 1
1424c (2 curves)	0	2- 89+	2- -1  3  4  6  2  3 -5
Curve Equation t 1424c1 [0,-1,0,96,1792] 1 1424c2 [0,-1,0,-8864,324352] 1
1424d (1 curve)	1	2- 89-	2-  1 -1  0  0 -4 -1  5
Curve Equation t Generators 1424d1 [0,1,0,4,8] 1 [-1:2:1]
1424e (2 curves)	1	2- 89-	2- -2  2  0  0 -4  2  2
Curve Equation t Generators 1424e1 [0,1,0,-712,-6540] 2 [-20:10:1] 1424e2 [0,1,0,-10952,-444812] 2 [2164:100570:1]
1424f (2 curves)	1	2- 89-	2- -2 -2 -2  4  2  6  2
Curve Equation t Generators 1424f1 [0,1,0,-24,-44] 2 [-4:2:1] 1424f2 [0,1,0,56,-204] 2 [4:10:1]

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

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