Cremona's table of elliptic curves

726 = 2 · 3 · 11²

Class	r	Atkin-Lehner	Eigenvalues
726a (2 curves)	1	2+ 3+ 11+	2+ 3+  0  0 11+ -6  6 -6
Curve Equation t Generators 726a1 [1,1,0,-35,-51] 2 [-5:8:1] 726a2 [1,1,0,-475,-4187] 2 [-13:8:1]
726b (1 curve)	0	2+ 3+ 11-	2+ 3+ -1  4 11- -3  1  8
Curve Equation t 726b1 [1,1,0,21657,-1855179] 1
726c (4 curves)	0	2+ 3+ 11-	2+ 3+  2  4 11-  6 -2 -4
Curve Equation t 726c1 [1,1,0,-244,-128] 2 726c2 [1,1,0,-2664,51660] 4 726c3 [1,1,0,-42594,3365850] 2 726c4 [1,1,0,-1454,100302] 2
726d (1 curve)	1	2+ 3- 11-	2+ 3- -1 -4 11-  5 -7  0
Curve Equation t Generators 726d1 [1,0,1,-14,20] 1 [3:-5:1]
726e (4 curves)	1	2+ 3- 11-	2+ 3- -4  2 11- -4  2  0
Curve Equation t Generators 726e1 [1,0,1,-5448,-113258] 2 [-34:198:1] 726e2 [1,0,1,13912,-732778] 2 [120:1573:1] 726e3 [1,0,1,-1217868,517205302] 2 [18849:63767:27] 726e4 [1,0,1,-1216658,518284622] 2 [582:2431:1]
726f (2 curves)	0	2- 3+ 11+	2- 3+  0  0 11+  6 -6  6
Curve Equation t 726f1 [1,1,1,-4298,46487] 2 726f2 [1,1,1,-57538,5285303] 2
726g (1 curve)	1	2- 3+ 11-	2- 3+ -1 -4 11-  3 -1 -8
Curve Equation t Generators 726g1 [1,1,1,179,1475] 1 [17:-108:1]
726h (4 curves)	0	2- 3- 11-	2- 3-  0 -2 11-  4  6  4
Curve Equation t 726h1 [1,0,0,-668,-6324] 2 726h2 [1,0,0,542,-26410] 2 726h3 [1,0,0,-9743,367929] 2 726h4 [1,0,0,-4903,734801] 2
726i (1 curve)	0	2- 3- 11-	2- 3- -1  4 11- -5  7  0
Curve Equation t 726i1 [1,0,0,-1636,-28588] 1

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

Part of Computational Number Theory
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