Cremona's table of elliptic curves

31603 = 11 · 13² · 17

Class	r	Atkin-Lehner	Eigenvalues
31603a (2 curves)	1	11+ 13+ 17+	0  1 -3 -2 11+ 13+ 17+ -2
Curve Equation t Generators 31603a1 [0,1,1,1803,59167] 1 [121:1436:1] 31603a2 [0,1,1,-16787,-1920668] 1 [125532:414784:729]
31603b (1 curve)	1	11+ 13+ 17+	1 -1  0  3 11+ 13+ 17+  0
Curve Equation t Generators 31603b1 [1,1,0,-14875,1063418] 1 [-22:1186:1]
31603c (1 curve)	1	11+ 13+ 17+	-1  1  2  3 11+ 13+ 17+ -2
Curve Equation t Generators 31603c1 [1,0,0,-145597,21371362] 1 [183:838:1]
31603d (1 curve)	0	11+ 13+ 17-	0  1  1 -2 11+ 13+ 17- -2
Curve Equation t 31603d1 [0,1,1,-1695295,-858864912] 1
31603e (1 curve)	0	11+ 13+ 17-	0 -2  4  1 11+ 13+ 17-  4
Curve Equation t 31603e1 [0,1,1,-9351,345453] 1
31603f (1 curve)	2	11+ 13+ 17-	-1  1  2 -3 11+ 13+ 17- -4
Curve Equation t Generators 31603f1 [1,0,0,-23527,1394002] 1 [-177:233:1]&[78:-226:1]
31603g (2 curves)	2	11+ 13+ 17-	-1 -2 -4  0 11+ 13+ 17- -4
Curve Equation t Generators 31603g1 [1,0,0,-6510,-192869] 2 [-54:71:1]&[-51:110:1] 31603g2 [1,0,0,4475,-775074] 2 [131:-1502:1]&[182:2374:1]
31603h (1 curve)	2	11+ 13+ 17-	-1 -3 -2  1 11+ 13+ 17-  8
Curve Equation t Generators 31603h1 [1,-1,1,-6,30] 1 [-2:6:1]&[0:5:1]
31603i (1 curve)	2	11- 13+ 17+	1  1 -2 -3 11- 13+ 17+  2
Curve Equation t Generators 31603i1 [1,0,1,-862,9661] 1 [17:-8:1]&[41:188:1]
31603j (1 curve)	2	11- 13+ 17+	-1 -1  0 -3 11- 13+ 17+  0
Curve Equation t Generators 31603j1 [1,1,1,-88,450] 1 [18:-81:1]&[8:14:1]
31603k (1 curve)	1	11- 13+ 17-	1  1 -2  3 11- 13+ 17-  4
Curve Equation t Generators 31603k1 [1,0,1,-3976067,3066598459] 1 [8971:825811:1]
31603l (1 curve)	1	11- 13+ 17-	1 -3  2 -1 11- 13+ 17- -8
Curve Equation t Generators 31603l1 [1,-1,0,-961,63610] 1 [-42:190:1]
31603m (1 curve)	1	11- 13+ 17-	-2  0 -4  5 11- 13+ 17- -2
Curve Equation t Generators 31603m1 [0,0,1,1183,2746] 1 [91:929:1]

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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