Cremona's table of elliptic curves

13728 = 2⁵ · 3 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
13728a (1 curve)	1	2+ 3+ 11+ 13+	2+ 3+  1 -1 11+ 13+  0  2
Curve Equation t Generators 13728a1 [0,-1,0,4120,542088] 1 [202:6507:8]
13728b (2 curves)	1	2+ 3+ 11+ 13+	2+ 3+ -2  4 11+ 13+  4 -6
Curve Equation t Generators 13728b1 [0,-1,0,-874,10744] 2 [15:28:1] 13728b2 [0,-1,0,-14184,654948] 2 [56:182:1]
13728c (4 curves)	0	2+ 3+ 11+ 13-	2+ 3+  2  0 11+ 13- -6 -4
Curve Equation t 13728c1 [0,-1,0,-122,-120] 4 13728c2 [0,-1,0,-1552,-23000] 2 13728c3 [0,-1,0,-1112,14532] 4 13728c4 [0,-1,0,463,-1407] 2
13728d (2 curves)	1	2+ 3+ 11- 13-	2+ 3+ -2  0 11- 13-  0  6
Curve Equation t Generators 13728d1 [0,-1,0,6,24] 2 [-1:4:1] 13728d2 [0,-1,0,-104,420] 2 [-8:26:1]
13728e (2 curves)	1	2+ 3+ 11- 13-	2+ 3+ -4  4 11- 13- -4  0
Curve Equation t Generators 13728e1 [0,-1,0,110,-1064] 2 [979:30618:1] 13728e2 [0,-1,0,-1105,-11999] 2 [-24:11:1]
13728f (1 curve)	1	2+ 3- 11- 13+	2+ 3-  1  1 11- 13+  0 -2
Curve Equation t Generators 13728f1 [0,1,0,4120,-542088] 1 [166:2178:1]
13728g (1 curve)	2	2- 3+ 11+ 13+	2- 3+ -1 -1 11+ 13+ -8 -2
Curve Equation t Generators 13728g1 [0,-1,0,-16,52] 1 [-4:6:1]&[1:6:1]
13728h (2 curves)	0	2- 3+ 11- 13-	2- 3+  4  2 11- 13-  6 -2
Curve Equation t 13728h1 [0,-1,0,-2106,37908] 2 13728h2 [0,-1,0,-2241,32913] 2
13728i (2 curves)	0	2- 3- 11+ 13-	2- 3- -2  0 11+ 13-  0 -6
Curve Equation t 13728i1 [0,1,0,6,-24] 2 13728i2 [0,1,0,-104,-420] 2
13728j (2 curves)	0	2- 3- 11+ 13-	2- 3-  4 -2 11+ 13-  6  2
Curve Equation t 13728j1 [0,1,0,-2106,-37908] 2 13728j2 [0,1,0,-2241,-32913] 2
13728k (2 curves)	2	2- 3- 11+ 13-	2- 3- -4 -4 11+ 13- -4  0
Curve Equation t Generators 13728k1 [0,1,0,110,1064] 2 [-4:24:1]&[2:36:1] 13728k2 [0,1,0,-1105,11999] 2 [-31:132:1]&[-13:156:1]
13728l (1 curve)	0	2- 3- 11- 13+	2- 3- -1  1 11- 13+ -8  2
Curve Equation t 13728l1 [0,1,0,-16,-52] 1
13728m (2 curves)	0	2- 3- 11- 13+	2- 3- -2 -4 11- 13+  4  6
Curve Equation t 13728m1 [0,1,0,-874,-10744] 2 13728m2 [0,1,0,-14184,-654948] 2
13728n (4 curves)	1	2- 3- 11- 13-	2- 3-  2  0 11- 13- -6  4
Curve Equation t Generators 13728n1 [0,1,0,-122,120] 4 [13:30:1] 13728n2 [0,1,0,-1112,-14532] 2 [79:630:1] 13728n3 [0,1,0,-1552,23000] 2 [26:30:1] 13728n4 [0,1,0,463,1407] 4 [26:435:8]

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

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