Cremona's table of elliptic curves

5733 = 3² · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
5733a (2 curves)	1	3+ 7- 13-	1 3+  0 7-  0 13-  2  4
Curve Equation t Generators 5733a1 [1,-1,0,-2067,29168] 2 [2784:24284:27] 5733a2 [1,-1,0,4548,173375] 2 [394:7741:1]
5733b (2 curves)	1	3+ 7- 13-	-1 3+  0 7-  0 13- -2  4
Curve Equation t Generators 5733b1 [1,-1,1,-230,-1004] 2 [-8:20:1] 5733b2 [1,-1,1,505,-6590] 2 [16:65:1]
5733c (1 curve)	0	3- 7+ 13+	1 3- -4 7+  5 13+ -3 -5
Curve Equation t 5733c1 [1,-1,0,8811,1274454] 1
5733d (2 curves)	0	3- 7+ 13+	-1 3-  0 7+  3 13+ -7 -7
Curve Equation t 5733d1 [1,-1,1,-965,-11294] 1 5733d2 [1,-1,1,5650,475570] 1
5733e (1 curve)	1	3- 7- 13+	0 3- -1 7-  2 13+  2 -5
Curve Equation t Generators 5733e1 [0,0,1,42,-2340] 1 [14:31:1]
5733f (3 curves)	1	3- 7- 13+	0 3- -3 7-  0 13+ -6  7
Curve Equation t Generators 5733f1 [0,0,1,-3234,70915] 1 [7:220:1] 5733f2 [0,0,1,5586,351832] 1 [112:1543:1] 5733f3 [0,0,1,-51744,-11165765] 1 [45395:529358:125]
5733g (4 curves)	1	3- 7- 13+	-1 3-  2 7- -4 13+  2  0
Curve Equation t Generators 5733g1 [1,-1,1,211,-2572] 2 [34:190:1] 5733g2 [1,-1,1,-1994,-29032] 4 [-24:79:1] 5733g3 [1,-1,1,-30659,-2058514] 2 [205:387:1] 5733g4 [1,-1,1,-8609,280550] 2 [-60:790:1]
5733h (1 curve)	1	3- 7- 13+	2 3- -1 7-  2 13+ -4 -3
Curve Equation t Generators 5733h1 [0,0,1,-11613,551115] 1 [322:3083:8]
5733i (1 curve)	0	3- 7- 13-	0 3-  1 7-  2 13- -2  5
Curve Equation t 5733i1 [0,0,1,2058,802534] 1
5733j (1 curve)	0	3- 7- 13-	1 3-  4 7-  5 13-  3  5
Curve Equation t 5733j1 [1,-1,0,180,-3767] 1
5733k (2 curves)	0	3- 7- 13-	-1 3-  0 7-  3 13-  7  7
Curve Equation t 5733k1 [1,-1,1,-47270,3968290] 1 5733k2 [1,-1,1,276865,-163674332] 1
5733l (1 curve)	0	3- 7- 13-	2 3- -3 7-  6 13-  4 -5
Curve Equation t 5733l1 [0,0,1,441,2315] 1
5733m (1 curve)	0	3- 7- 13-	-2 3-  1 7-  2 13-  0 -1
Curve Equation t 5733m1 [0,0,1,1119993,-1465824992] 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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