Cremona's table of elliptic curves

744 = 2³ · 3 · 31

Class	r	Atkin-Lehner	Eigenvalues
744a (1 curve)	1	2+ 3+ 31+	2+ 3+ -1  1  0 -6  0 -3
Curve Equation t Generators 744a1 [0,-1,0,4,-3] 1 [2:3:1]
744b (4 curves)	0	2+ 3- 31+	2+ 3- -2  0  4 -2  6  4
Curve Equation t 744b1 [0,1,0,-279,-1890] 2 744b2 [0,1,0,-284,-1824] 4 744b3 [0,1,0,-904,8096] 4 744b4 [0,1,0,256,-7440] 2
744c (1 curve)	1	2+ 3- 31-	2+ 3- -3  1 -6  0 -4 -3
Curve Equation t Generators 744c1 [0,1,0,8,89] 1 [8:-27:1]
744d (1 curve)	0	2- 3+ 31+	2- 3+  3  5  4 -2 -8  1
Curve Equation t 744d1 [0,-1,0,936,-25839] 1
744e (1 curve)	0	2- 3+ 31+	2- 3+ -3  2 -5  1  1  7
Curve Equation t 744e1 [0,-1,0,-32,-84] 1
744f (1 curve)	1	2- 3+ 31-	2- 3+  1 -3 -2  4 -4 -7
Curve Equation t Generators 744f1 [0,-1,0,-140,753] 1 [44:279:1]
744g (1 curve)	1	2- 3- 31+	2- 3- -1 -3 -4 -2  0  1
Curve Equation t Generators 744g1 [0,1,0,-96,333] 1 [6:-3:1]

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

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