Cremona's table of elliptic curves

12831 = 3 · 7 · 13 · 47

Class	r	Atkin-Lehner	Eigenvalues
12831a (1 curve)	0	3+ 7+ 13+ 47-	-2 3+  4 7+ -3 13+ -1  7
Curve Equation t 12831a1 [0,-1,1,-196,-2466] 1
12831b (1 curve)	1	3- 7- 13+ 47+	0 3-  2 7-  3 13+ -3 -5
Curve Equation t Generators 12831b1 [0,1,1,153,-952] 1 [54:409:1]
12831c (2 curves)	1	3- 7- 13+ 47+	1 3-  0 7-  4 13+  2 -6
Curve Equation t Generators 12831c1 [1,0,1,-276,-5963] 2 [107:1038:1] 12831c2 [1,0,1,-6891,-220289] 2 [982:6603:8]
12831d (3 curves)	0	3- 7- 13- 47+	0 3-  0 7-  3 13-  3 -7
Curve Equation t 12831d1 [0,1,1,-43953,3532142] 3 12831d2 [0,1,1,-38823,4392983] 3 12831d3 [0,1,1,316077,-67094524] 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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