Cremona's table of elliptic curves

1224 = 2³ · 3² · 17

Class	r	Atkin-Lehner	Eigenvalues
1224a (1 curve)	1	2+ 3+ 17+	2+ 3+ -1 -2  3 -1 17+ -3
Curve Equation t Generators 1224a1 [0,0,0,12,4] 1 [2:6:1]
1224b (2 curves)	0	2+ 3- 17+	2+ 3-  2 -2  6  2 17+  0
Curve Equation t 1224b1 [0,0,0,-39,-38] 2 1224b2 [0,0,0,141,-290] 2
1224c (4 curves)	0	2+ 3- 17+	2+ 3- -2 -4 -4  6 17+  4
Curve Equation t 1224c1 [0,0,0,-471,-3926] 2 1224c2 [0,0,0,-651,-650] 4 1224c3 [0,0,0,-6771,213550] 2 1224c4 [0,0,0,2589,-5186] 2
1224d (2 curves)	1	2+ 3- 17-	2+ 3-  0  0 -2 -6 17-  4
Curve Equation t Generators 1224d1 [0,0,0,-75,182] 2 [-2:18:1] 1224d2 [0,0,0,-435,-3346] 2 [-10:2:1]
1224e (1 curve)	1	2+ 3- 17-	2+ 3- -3  0  1  3 17-  1
Curve Equation t Generators 1224e1 [0,0,0,4596,46676] 1 [10:306:1]
1224f (1 curve)	1	2- 3+ 17-	2- 3+  1 -2 -3 -1 17- -3
Curve Equation t Generators 1224f1 [0,0,0,108,-108] 1 [12:54:1]
1224g (1 curve)	1	2- 3- 17+	2- 3-  3 -4 -1 -5 17+ -7
Curve Equation t Generators 1224g1 [0,0,0,-156,-1532] 1 [32:162:1]
1224h (2 curves)	0	2- 3- 17-	2- 3-  0  2  0  2 17-  4
Curve Equation t 1224h1 [0,0,0,-435,3454] 2 1224h2 [0,0,0,-75,8998] 2

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

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