Cremona's table of elliptic curves

40344 = 2³ · 3 · 41²

Class	r	Atkin-Lehner	Eigenvalues
40344a (1 curve)	0	2+ 3- 41+	2+ 3- -1  2 -2  3  3 -7
Curve Equation t 40344a1 [0,1,0,308744,117631088] 1
40344b (1 curve)	0	2+ 3- 41+	2+ 3-  2 -4 -5  0  3  2
Curve Equation t 40344b1 [0,1,0,-970497,-368320797] 1
40344c (1 curve)	0	2- 3+ 41+	2- 3+  0  2  3  6  7  0
Curve Equation t 40344c1 [0,-1,0,11207,1701421] 1
40344d (2 curves)	0	2- 3+ 41+	2- 3+  2 -2  4  6  0  0
Curve Equation t 40344d1 [0,-1,0,-232,700] 2 40344d2 [0,-1,0,-1872,-30132] 2
40344e (2 curves)	1	2- 3- 41+	2- 3-  2  2 -4 -6  0  0
Curve Equation t Generators 40344e1 [0,1,0,-390552,42779520] 2 [37080424632:-1118474541120:403583419] 40344e2 [0,1,0,-3147392,-2120788512] 2 [-79173668133633651993023:306325699800779309662440:72907175168389943263]
40344f (1 curve)	1	2- 3- 41+	2- 3- -2  0 -1 -4  7 -2
Curve Equation t Generators 40344f1 [0,1,0,-620849,287188515] 1 [1093:30258:1]
40344g (6 curves)	1	2- 3- 41+	2- 3- -2  0 -4  2 -2  4
Curve Equation t Generators 40344g1 [0,1,0,1121,18242] 2 [-17743:44289:1331] 40344g2 [0,1,0,-7284,176256] 4 [-94:198:1] 40344g3 [0,1,0,-40904,-3051264] 4 [-98784:107360:729] 40344g4 [0,1,0,-108144,13651152] 2 [9992:998316:1] 40344g5 [0,1,0,26336,-12034528] 2 [3578:75645:8] 40344g6 [0,1,0,-646064,-200091360] 2 [-76916582685:2531178980:165469149]

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