Cremona's table of elliptic curves

13923 = 3² · 7 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
13923a (2 curves)	1	3+ 7+ 13+ 17+	1 3+ -4 7+  0 13+ 17+ -4
Curve Equation t Generators 13923a1 [1,-1,0,-46809,3909224] 2 [140:222:1] 13923a2 [1,-1,0,-42474,4659179] 2 [10:2053:1]
13923b (2 curves)	0	3+ 7+ 13+ 17-	-1 3+  4 7+  0 13+ 17- -4
Curve Equation t 13923b1 [1,-1,1,-421283,-105127766] 2 13923b2 [1,-1,1,-382268,-125415566] 2
13923c (2 curves)	2	3+ 7- 13+ 17+	-1 3+ -2 7-  0 13+ 17+ -8
Curve Equation t Generators 13923c1 [1,-1,1,-296,2010] 2 [-6:62:1]&[-1:48:1] 13923c2 [1,-1,1,-551,-1764] 2 [-18:54:1]&[-16:60:1]
13923d (2 curves)	1	3+ 7- 13+ 17-	1 3+  2 7-  0 13+ 17- -8
Curve Equation t Generators 13923d1 [1,-1,0,-2661,-51616] 2 [68:246:1] 13923d2 [1,-1,0,-4956,52577] 2 [112:889:1]
13923e (2 curves)	1	3- 7+ 13- 17+	1 3-  0 7+  4 13- 17+  4
Curve Equation t Generators 13923e1 [1,-1,0,-117,0] 2 [52:338:1] 13923e2 [1,-1,0,468,-351] 2 [398:2839:8]
13923f (6 curves)	1	3- 7+ 13- 17+	1 3-  2 7+  4 13- 17+ -4
Curve Equation t Generators 13923f1 [1,-1,0,-14796,-689045] 2 [-381429155360:191959568443:5451776000] 13923f2 [1,-1,0,-14841,-684608] 4 [17148:414706:27] 13923f3 [1,-1,0,-27846,706927] 4 [2522:125099:1] 13923f4 [1,-1,0,-2556,-1792715] 2 [5762070150160:-78802391549549:25934336000] 13923f5 [1,-1,0,-365211,84980704] 2 [620:9518:1] 13923f6 [1,-1,0,101439,5335330] 2 [1285960:64321855:512]
13923g (4 curves)	1	3- 7+ 13- 17+	1 3- -2 7+ -4 13- 17+  4
Curve Equation t Generators 13923g1 [1,-1,0,-918,8959] 2 [30:73:1] 13923g2 [1,-1,0,-13923,635800] 4 [72:16:1] 13923g3 [1,-1,0,-222768,40525195] 2 [2254:943:8] 13923g4 [1,-1,0,-13158,708169] 2 [24:625:1]
13923h (1 curve)	1	3- 7+ 13- 17+	-2 3- -1 7+ -2 13- 17+ -7
Curve Equation t Generators 13923h1 [0,0,1,-204753,-51617678] 1 [553:2065:1]
13923i (1 curve)	1	3- 7+ 13- 17+	-2 3-  3 7+ -2 13- 17+  1
Curve Equation t Generators 13923i1 [0,0,1,-26211,1633338] 1 [98:76:1]
13923j (2 curves)	2	3- 7+ 13- 17-	-1 3-  0 7+ -4 13- 17- -8
Curve Equation t Generators 13923j1 [1,-1,1,-410,-2896] 2 [-12:19:1]&[72:544:1] 13923j2 [1,-1,1,355,-12994] 2 [22:60:1]&[24:82:1]
13923k (1 curve)	0	3- 7- 13+ 17-	2 3- -3 7-  6 13+ 17- -1
Curve Equation t 13923k1 [0,0,1,-129,8235] 1
13923l (2 curves)	0	3- 7- 13- 17+	1 3-  4 7-  4 13- 17+  0
Curve Equation t 13923l1 [1,-1,0,-4095,-99792] 2 13923l2 [1,-1,0,-3330,-138807] 2

Data from Elliptic Curve Data by J. E. Cremona.
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