Cremona's table of elliptic curves

27753 = 3 · 11 · 29²

Class	r	Atkin-Lehner	Eigenvalues
27753a (1 curve)	1	3+ 11+ 29+	0 3+ -2 -3 11+  2  2 -5
Curve Equation t Generators 27753a1 [0,-1,1,-19,-36] 1 [6:5:1]
27753b (1 curve)	0	3+ 11+ 29-	-2 3+  1 -2 11+  2  0 -8
Curve Equation t 27753b1 [0,-1,1,8130,-978496] 1
27753c (2 curves)	0	3+ 11- 29+	0 3+  3  2 11- -4  0 -2
Curve Equation t 27753c1 [0,-1,1,-19,-123] 1 27753c2 [0,-1,1,-2629,-51018] 1
27753d (4 curves)	0	3- 11+ 29+	-1 3- -2  4 11+ -2  2  0
Curve Equation t 27753d1 [1,0,0,-5484,-155457] 2 27753d2 [1,0,0,-9689,114504] 4 27753d3 [1,0,0,36566,900839] 2 27753d4 [1,0,0,-123224,16622493] 2
27753e (2 curves)	1	3- 11+ 29-	0 3-  3  2 11+ -4  0  2
Curve Equation t Generators 27753e1 [0,1,1,-16259,-3155440] 3 [431184194210:-8614149493051:958585256] 27753e2 [0,1,1,-2211269,-1266383695] 1 [802223552689698774053092851443744590:-54006906830468866535667880483426746923:159750398353806905610921594751000]
27753f (2 curves)	1	3- 11- 29+	-1 3- -2 -2 11-  2 -6 -4
Curve Equation t Generators 27753f1 [1,0,0,-413369,102124440] 2 [331:1096:1] 27753f2 [1,0,0,-291424,163609109] 2 [-481:14117:1]
27753g (1 curve)	1	3- 11- 29+	2 3-  1 -2 11-  2  0  8
Curve Equation t Generators 27753g1 [0,1,1,10,-37] 1 [26:47:8]
27753h (1 curve)	0	3- 11- 29-	0 3- -2 -3 11-  2 -2  5
Curve Equation t 27753h1 [0,1,1,-16259,-1033597] 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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