Cremona's table of elliptic curves

55224 = 2³ · 3² · 13 · 59

Class	r	Atkin-Lehner	Eigenvalues
55224a (1 curve)	1	2+ 3+ 13+ 59+	2+ 3+  1  2  2 13+  0  4
Curve Equation t Generators 55224a1 [0,0,0,-3132,-67148] 1 [-34:6:1]
55224b (2 curves)	1	2+ 3+ 13+ 59+	2+ 3+  2  4  4 13+  0 -2
Curve Equation t Generators 55224b1 [0,0,0,-459,4150] 2 [-22:60:1] 55224b2 [0,0,0,-7539,251950] 2 [450:9380:1]
55224c (1 curve)	1	2+ 3+ 13- 59-	2+ 3+  3 -2 -6 13-  0 -8
Curve Equation t Generators 55224c1 [0,0,0,-1836,30132] 1 [18:54:1]
55224d (1 curve)	0	2+ 3- 13+ 59+	2+ 3- -1  1 -2 13+  6 -5
Curve Equation t 55224d1 [0,0,0,-543,-5294] 1
55224e (1 curve)	1	2+ 3- 13+ 59-	2+ 3-  1 -1 -4 13+  6  7
Curve Equation t Generators 55224e1 [0,0,0,-4827,276838] 1 [63:472:1]
55224f (1 curve)	1	2+ 3- 13+ 59-	2+ 3-  1  4 -4 13+ -4  2
Curve Equation t Generators 55224f1 [0,0,0,-498612,-135516508] 1 [-139832:162:343]
55224g (4 curves)	1	2+ 3- 13+ 59-	2+ 3- -2  0  4 13+  6 -4
Curve Equation t Generators 55224g1 [0,0,0,-89751,-10349206] 2 [1279:44352:1] 55224g2 [0,0,0,-89931,-10305610] 4 [1702382:-59031504:1331] 55224g3 [0,0,0,-29091,-24018946] 2 [234248:3914001:512] 55224g4 [0,0,0,-153651,6197870] 2 [12784396430916208:-264610781438702985:19665509183488]
55224h (2 curves)	1	2+ 3- 13+ 59-	2+ 3-  4 -2 -4 13+  2  2
Curve Equation t Generators 55224h1 [0,0,0,-23943,1902170] 2 [21055:203416:125] 55224h2 [0,0,0,-417603,103860110] 2 [695:12220:1]
55224i (1 curve)	0	2+ 3- 13- 59-	2+ 3-  3  3  2 13- -2 -7
Curve Equation t 55224i1 [0,0,0,114,-223] 1
55224j (1 curve)	0	2+ 3- 13- 59-	2+ 3- -3  3  2 13-  7  2
Curve Equation t 55224j1 [0,0,0,-30819,2082494] 1
55224k (1 curve)	1	2- 3+ 13+ 59-	2- 3+ -1  2 -2 13+  0  4
Curve Equation t Generators 55224k1 [0,0,0,-28188,1812996] 1 [88:118:1]
55224l (2 curves)	1	2- 3+ 13+ 59-	2- 3+ -2  4 -4 13+  0 -2
Curve Equation t Generators 55224l1 [0,0,0,-4131,-112050] 2 [913146:310446:12167] 55224l2 [0,0,0,-67851,-6802650] 2 [3038867042:-1518712467650:12167]
55224m (1 curve)	1	2- 3+ 13- 59+	2- 3+ -3 -2  6 13-  0 -8
Curve Equation t Generators 55224m1 [0,0,0,-204,-1116] 1 [-8:2:1]
55224n (1 curve)	1	2- 3- 13+ 59+	2- 3- -1 -4  0 13+ -8 -6
Curve Equation t Generators 55224n1 [0,0,0,-700788,222058964] 1 [604:4374:1]
55224o (2 curves)	1	2- 3- 13+ 59+	2- 3-  2  2  0 13+ -2  0
Curve Equation t Generators 55224o1 [0,0,0,-1299,-23650] 2 [550:12870:1] 55224o2 [0,0,0,-22539,-1302298] 2 [1226758:27808110:2197]
55224p (4 curves)	1	2- 3- 13+ 59+	2- 3- -2 -4  4 13+ -2  4
Curve Equation t Generators 55224p1 [0,0,0,1329,-42734] 2 [35:216:1] 55224p2 [0,0,0,-13251,-512210] 4 [278:4158:1] 55224p3 [0,0,0,-55371,4500070] 2 [30285402:524778155:74088] 55224p4 [0,0,0,-204411,-35570954] 2 [-74777406:2185001:287496]
55224q (1 curve)	2	2- 3- 13- 59+	2- 3-  1 -2 -4 13- -2  0
Curve Equation t Generators 55224q1 [0,0,0,-2172,2468] 1 [88:702:1]&[-32:198:1]
55224r (1 curve)	0	2- 3- 13- 59+	2- 3-  3  1 -6 13-  6 -5
Curve Equation t 55224r1 [0,0,0,-2134791,-1202014998] 1
55224s (2 curves)	1	2- 3- 13- 59-	2- 3-  2 -2  0 13- -2 -4
Curve Equation t Generators 55224s1 [0,0,0,-4919619,-4227284050] 2 [17908518698:71812647090:6967871] 55224s2 [0,0,0,-78856059,-269526018058] 2 [1801938470650330:-2591796335107365126:870983875]
55224t (1 curve)	1	2- 3- 13- 59-	2- 3-  3  0 -3 13- -2 -5
Curve Equation t Generators 55224t1 [0,0,0,69,-5978] 1 [83:756:1]
55224u (1 curve)	1	2- 3- 13- 59-	2- 3-  3 -1  2 13-  2 -1
Curve Equation t Generators 55224u1 [0,0,0,1869,-44098] 1 [38:286:1]
55224v (1 curve)	1	2- 3- 13- 59-	2- 3- -3  3  0 13- -2  1
Curve Equation t Generators 55224v1 [0,0,0,-5214,145069] 1 [42:13:1]

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

Part of Computational Number Theory
Back to Tables and computations