Cremona's table of elliptic curves

31117 = 29² · 37

Class	r	Atkin-Lehner	Eigenvalues
31117a (3 curves)	1	29+ 37+	0 -1  0 -1 -3 -4 -6 -2
Curve Equation t Generators 31117a1 [0,-1,1,-2803,57616] 1 [68:420:1] 31117a2 [0,-1,1,-19623,-1018023] 1 [213:2102:1] 31117a3 [0,-1,1,-1575473,-760615110] 1 [29184:4980822:1]
31117b (1 curve)	2	29+ 37-	0  1 -4 -1  3 -6  0  4
Curve Equation t Generators 31117b1 [0,1,1,-38125,2845095] 1 [135:-421:1]&[858:289:8]
31117c (1 curve)	0	29+ 37-	-1 -3 -2  2 -1  4 -3  0
Curve Equation t 31117c1 [1,-1,1,-11091,-1199148] 1
31117d (1 curve)	0	29+ 37-	2  3 -2 -1  5 -2  0  0
Curve Equation t 31117d1 [0,0,1,-841,6097] 1
31117e (1 curve)	0	29- 37+	1 -1  0  2 -3 -2  5 -6
Curve Equation t 31117e1 [1,1,0,-2540,-1116827] 1
31117f (1 curve)	2	29- 37+	-1 -1 -3 -4 -3 -5  4  0
Curve Equation t Generators 31117f1 [1,1,1,-11342,460200] 1 [60:-45:1]&[-3:704:1]
31117g (1 curve)	1	29- 37-	1  1 -3 -4  3 -5 -4  0
Curve Equation t Generators 31117g1 [1,0,1,-9538640,11338285807] 1 [223205:-87276:125]
31117h (1 curve)	1	29- 37-	-1  1  0  2  3 -2 -5  6
Curve Equation t Generators 31117h1 [1,0,0,-3,-46] 1 [38:39:8]

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