Cremona's table of elliptic curves

774 = 2 · 3² · 43

Class	r	Atkin-Lehner	Eigenvalues
774a (2 curves)	0	2+ 3+ 43-	2+ 3+  3 -1  3 -1  6 -1
Curve Equation t 774a1 [1,-1,0,57,-243] 3 774a2 [1,-1,0,-1878,-30988] 1
774b (4 curves)	0	2+ 3- 43+	2+ 3-  2  4 -4  6  6 -4
Curve Equation t 774b1 [1,-1,0,-216,832] 2 774b2 [1,-1,0,-3096,67072] 4 774b3 [1,-1,0,-49536,4255960] 2 774b4 [1,-1,0,-2736,82984] 2
774c (1 curve)	0	2+ 3- 43+	2+ 3- -3 -1  1  1 -4  1
Curve Equation t 774c1 [1,-1,0,-397116,-96224252] 1
774d (2 curves)	1	2+ 3- 43-	2+ 3-  1  1 -5 -7 -4 -1
Curve Equation t Generators 774d1 [1,-1,0,1431,-46899] 1 [66:543:1] 774d2 [1,-1,0,-539109,152510121] 1 [-564:16923:1]
774e (2 curves)	1	2+ 3- 43-	2+ 3- -2 -2  4  2  2 -4
Curve Equation t Generators 774e1 [1,-1,0,-18,0] 2 [-3:6:1] 774e2 [1,-1,0,72,-54] 2 [3:12:1]
774f (2 curves)	1	2- 3+ 43-	2- 3+ -3 -1 -3 -1 -6 -1
Curve Equation t Generators 774f1 [1,-1,1,-209,1217] 3 [-9:52:1] 774f2 [1,-1,1,511,6049] 1 [109:1106:1]
774g (1 curve)	1	2- 3- 43+	2- 3- -1 -5 -1 -3  0 -7
Curve Equation t Generators 774g1 [1,-1,1,22,105] 1 [-1:9:1]
774h (2 curves)	0	2- 3- 43-	2- 3-  2  2  0  2 -6  4
Curve Equation t 774h1 [1,-1,1,-17249,-866127] 2 774h2 [1,-1,1,-11489,-1458255] 2
774i (1 curve)	0	2- 3- 43-	2- 3-  3 -3  5 -3  0  7
Curve Equation t 774i1 [1,-1,1,-131,-601] 1

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

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