Cremona's table of elliptic curves

25675 = 5² · 13 · 79

Class	r	Atkin-Lehner	Eigenvalues
25675a (1 curve)	1	5+ 13+ 79+	1  2 5+ -3 -5 13+  3  4
Curve Equation t Generators 25675a1 [1,1,0,-325,42750] 1 [-630:26622:125]
25675b (1 curve)	1	5+ 13+ 79+	2 -1 5+ -3 -1 13+  6  4
Curve Equation t Generators 25675b1 [0,-1,1,30092,-4430657] 1 [103112:1599043:512]
25675c (3 curves)	0	5+ 13+ 79-	0  2 5+  1  6 13+  0  2
Curve Equation t 25675c1 [0,-1,1,-5333,151693] 1 25675c2 [0,-1,1,-4083,223318] 1 25675c3 [0,-1,1,35417,-4882057] 1
25675d (2 curves)	2	5+ 13- 79+	-1 -2 5+  0  0 13- -4  0
Curve Equation t Generators 25675d1 [1,0,0,-5063,128992] 2 [-68:434:1]&[-47:537:1] 25675d2 [1,0,0,4812,573367] 2 [147:-2186:1]&[-386:4025:8]
25675e (1 curve)	0	5+ 13- 79+	2 -2 5+  0  0 13-  8  0
Curve Equation t 25675e1 [0,1,1,-18,-111] 1
25675f (1 curve)	0	5- 13+ 79+	-2  2 5-  0  0 13+ -8  0
Curve Equation t 25675f1 [0,-1,1,-458,-12932] 1
25675g (1 curve)	1	5- 13- 79+	-1 -2 5-  3 -5 13- -3  4
Curve Equation t Generators 25675g1 [1,0,0,-13,342] 1 [11:34:1]

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

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