Cremona's table of elliptic curves

13113 = 3² · 31 · 47

Class	r	Atkin-Lehner	Eigenvalues
13113a (1 curve)	0	3+ 31- 47+	2 3+  3  1  3  0 -2 -2
Curve Equation t 13113a1 [0,0,1,-90531,9994043] 1
13113b (1 curve)	0	3+ 31- 47+	2 3+ -3  1 -6 -3 -2 -8
Curve Equation t 13113b1 [0,0,1,-189,-1033] 1
13113c (1 curve)	1	3+ 31- 47-	-2 3+  3  1  6 -3  2 -8
Curve Equation t Generators 13113c1 [0,0,1,-21,38] 1 [3:1:1]
13113d (1 curve)	1	3+ 31- 47-	-2 3+ -3  1 -3  0  2 -2
Curve Equation t Generators 13113d1 [0,0,1,-10059,-370150] 1 [192:2185:1]
13113e (1 curve)	1	3- 31+ 47-	0 3-  1  5  0  1 -6  0
Curve Equation t Generators 13113e1 [0,0,1,-21252,1192473] 1 [658:239:8]
13113f (1 curve)	1	3- 31- 47+	0 3- -1 -3  1  0  0  2
Curve Equation t Generators 13113f1 [0,0,1,-4098,-90653] 1 [85:418:1]
13113g (1 curve)	0	3- 31- 47-	0 3-  1 -3 -4  3  6  8
Curve Equation t 13113g1 [0,0,1,-2929422,5919032389] 1
13113h (4 curves)	0	3- 31- 47-	1 3-  2  0 -4 -6 -2 -4
Curve Equation t 13113h1 [1,-1,0,-276,1835] 2 13113h2 [1,-1,0,-321,1232] 4 13113h3 [1,-1,0,-2436,-44875] 2 13113h4 [1,-1,0,1074,8207] 2

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

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