Cremona's table of elliptic curves

5577 = 3 · 11 · 13²

Class	r	Atkin-Lehner	Eigenvalues
5577a (1 curve)	1	3+ 11+ 13+	0 3+  2  1 11+ 13+  2 -4
Curve Equation t Generators 5577a1 [0,-1,1,113,-102] 1 [6:27:1]
5577b (1 curve)	1	3+ 11+ 13+	0 3+ -2  3 11+ 13+  2 -4
Curve Equation t Generators 5577b1 [0,-1,1,-1629,25859] 1 [23:5:1]
5577c (2 curves)	1	3+ 11+ 13+	1 3+  0  0 11+ 13+ -4  8
Curve Equation t Generators 5577c1 [1,1,0,335,3112] 2 [86:677:8] 5577c2 [1,1,0,-2200,28969] 2 [96:797:1]
5577d (4 curves)	1	3+ 11+ 13+	-1 3+  2 -4 11+ 13+ -2  0
Curve Equation t Generators 5577d1 [1,1,1,-1102,-14422] 2 [-492:335:27] 5577d2 [1,1,1,-1947,9576] 4 [-20:212:1] 5577d3 [1,1,1,-24762,1487988] 2 [96:36:1] 5577d4 [1,1,1,7348,83936] 2 [2865:37424:27]
5577e (1 curve)	0	3+ 11- 13+	0 3+  2 -3 11- 13+  2  4
Curve Equation t 5577e1 [0,-1,1,-275357,55711424] 1
5577f (1 curve)	0	3+ 11- 13+	0 3+ -2 -1 11- 13+  2  4
Curve Equation t 5577f1 [0,-1,1,19041,-147301] 1
5577g (6 curves)	1	3- 11- 13+	1 3-  2  0 11- 13+ -6  4
Curve Equation t Generators 5577g1 [1,0,1,-4060,142469] 2 [31:200:1] 5577g2 [1,0,1,-72505,7507151] 4 [2185:100307:1] 5577g3 [1,0,1,-80110,5834051] 4 [17486:802153:8] 5577g4 [1,0,1,-1160020,480793679] 2 [1163336:49522351:512] 5577g5 [1,0,1,-508525,-135200167] 2 [-9879:42275:27] 5577g6 [1,0,1,226625,39820289] 2 [2568581718:121108111333:1191016]

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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