Cremona's table of elliptic curves

25172 = 2² · 7 · 29 · 31

Class	r	Atkin-Lehner	Eigenvalues
25172a (1 curve)	0	2- 7+ 29+ 31+	2- -1 -4 7+  6  4  2 -7
Curve Equation t 25172a1 [0,-1,0,-4765,332441] 1
25172b (1 curve)	2	2- 7+ 29+ 31+	2- -2  0 7+ -3 -3 -2 -1
Curve Equation t Generators 25172b1 [0,1,0,-5173,141495] 1 [42:9:1]&[37:46:1]
25172c (1 curve)	0	2- 7+ 29+ 31+	2- -2 -1 7+  2  2  7  1
Curve Equation t 25172c1 [0,1,0,-4796,-129452] 1
25172d (1 curve)	0	2- 7+ 29- 31-	2-  2  3 7+  2  2  5 -1
Curve Equation t 25172d1 [0,-1,0,-684,-4504] 1
25172e (1 curve)	1	2- 7- 29+ 31+	2-  2  2 7- -5  1 -4  5
Curve Equation t Generators 25172e1 [0,-1,0,-357,-1663] 1 [23:42:1]
25172f (1 curve)	1	2- 7- 29+ 31+	2- -2  3 7-  2  2  3  1
Curve Equation t Generators 25172f1 [0,1,0,-84684,9457108] 1 [1338:77:8]
25172g (2 curves)	0	2- 7- 29+ 31-	2-  1  0 7- -6 -4  6  5
Curve Equation t 25172g1 [0,1,0,23547,-1807993] 3 25172g2 [0,1,0,-745253,-249007945] 1
25172h (1 curve)	0	2- 7- 29- 31+	2-  1 -2 7-  4  2 -2  1
Curve Equation t 25172h1 [0,1,0,-2989,-64673] 1
25172i (1 curve)	1	2- 7- 29- 31-	2-  0  2 7-  1 -1  2  1
Curve Equation t Generators 25172i1 [0,0,0,-2504,48228] 1 [29:1:1]
25172j (2 curves)	1	2- 7- 29- 31-	2-  0  2 7-  2  2  4  0
Curve Equation t Generators 25172j1 [0,0,0,-9404,-350835] 2 [6861:99820:27] 25172j2 [0,0,0,-11119,-213978] 2 [-638:3255:8]

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