Cremona's table of elliptic curves

1521 = 3² · 13²

Class	r	Atkin-Lehner	Eigenvalues
1521a (2 curves)	1	3+ 13+	0 3+  0  1  0 13+  0 -8
Curve Equation t Generators 1521a1 [0,0,1,0,3] 1 [-1:1:1] 1521a2 [0,0,1,0,-88] 1 [12:40:1]
1521b (2 curves)	1	3+ 13+	0 3+  0 -1  0 13+  0  8
Curve Equation t Generators 1521b1 [0,0,1,0,7140] 3 [56:427:1] 1521b2 [0,0,1,0,-192787] 1 [507:11407:1]
1521c (2 curves)	0	3- 13+	1 3- -1 -2 -2 13+  7  6
Curve Equation t 1521c1 [1,-1,0,-90,-311] 1 1521c2 [1,-1,0,-675,37714] 1
1521d (4 curves)	0	3- 13+	1 3-  2  4  4 13+ -2  0
Curve Equation t 1521d1 [1,-1,0,729,15952] 2 1521d2 [1,-1,0,-6876,190867] 4 1521d3 [1,-1,0,-29691,-1775786] 2 1521d4 [1,-1,0,-105741,13260820] 2
1521e (2 curves)	0	3- 13+	-1 3-  1  2  2 13+  7 -6
Curve Equation t 1521e1 [1,-1,1,-15242,-728958] 1 1521e2 [1,-1,1,-114107,82515372] 1

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

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