Cremona's table of elliptic curves

33231 = 3 · 11 · 19 · 53

Class	r	Atkin-Lehner	Eigenvalues
33231a (1 curve)	2	3+ 11+ 19- 53+	1 3+ -1 -1 11+  2 -6 19-
Curve Equation t Generators 33231a1 [1,1,0,-608,-5529] 1 [-130:223:8]&[-14:29:1]
33231b (1 curve)	1	3+ 11- 19+ 53-	1 3+  3 -3 11- -4  4 19+
Curve Equation t Generators 33231b1 [1,1,0,-231,-1452] 1 [-74:41:8]
33231c (1 curve)	1	3+ 11- 19- 53+	1 3+  0 -1 11-  1  4 19-
Curve Equation t Generators 33231c1 [1,1,0,-60,-207] 1 [16:49:1]
33231d (1 curve)	1	3+ 11- 19- 53+	1 3+  3 -1 11- -2 -2 19-
Curve Equation t Generators 33231d1 [1,1,0,-547481,-153332652] 1 [-3754:7653:8]
33231e (2 curves)	0	3- 11+ 19+ 53+	1 3- -2  0 11+  0 -6 19+
Curve Equation t 33231e1 [1,0,1,-2851967,-1984158259] 2 33231e2 [1,0,1,-46515422,-122111055655] 2
33231f (2 curves)	0	3- 11+ 19- 53-	-1 3-  2  0 11+  4  2 19-
Curve Equation t 33231f1 [1,0,0,-12,-153] 2 33231f2 [1,0,0,-507,-4410] 2
33231g (1 curve)	2	3- 11+ 19- 53-	-1 3- -3 -3 11+  4  0 19-
Curve Equation t Generators 33231g1 [1,0,0,-2862,58671] 1 [-34:359:1]&[-15:321:1]
33231h (1 curve)	1	3- 11- 19+ 53+	1 3-  1  3 11- -6  6 19+
Curve Equation t Generators 33231h1 [1,0,1,-33653,2366015] 1 [790:327:8]
33231i (1 curve)	2	3- 11- 19+ 53-	1 3- -2 -3 11-  3 -6 19+
Curve Equation t Generators 33231i1 [1,0,1,-727217,239419181] 1 [4566:-28045:8]&[531:-2015:1]

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