Cremona's table of elliptic curves

31265 = 5 · 13² · 37

Class	r	Atkin-Lehner	Eigenvalues
31265a (1 curve)	1	5+ 13+ 37+	0 -1 5+  3  5 13+ -4  8
Curve Equation t Generators 31265a1 [0,-1,1,-901,10207] 1 [61:422:1]
31265b (4 curves)	1	5+ 13+ 37+	1  0 5+ -4 -4 13+  2 -8
Curve Equation t Generators 31265b1 [1,-1,0,-110135,14095680] 2 [1198:7175:8] 31265b2 [1,-1,0,-110980,13869051] 4 [1166:6455:8] 31265b3 [1,-1,0,31825,46971250] 2 [6250:491200:1] 31265b4 [1,-1,0,-267305,-33747544] 2 [-11279602:178161467:39304]
31265c (2 curves)	1	5+ 13+ 37+	1  2 5+  2  0 13+  6  6
Curve Equation t Generators 31265c1 [1,1,0,-10167888,12475142867] 2 [709188380598782386785416640:-658511408150517088936361459:383021606560731070464000] 31265c2 [1,1,0,-10025083,12842751498] 2 [75944281712190:-1493183740403983:33076161000]
31265d (1 curve)	0	5- 13+ 37+	2 -1 5-  1  3 13+ -8  6
Curve Equation t 31265d1 [0,-1,1,-2760,37923] 1
31265e (2 curves)	1	5- 13+ 37-	-1 -2 5-  2  0 13+  2 -2
Curve Equation t Generators 31265e1 [1,0,0,-595,-5448] 2 [-13:18:1] 31265e2 [1,0,0,250,-19475] 2 [27:71:1]
31265f (1 curve)	1	5- 13+ 37-	2  1 5-  5 -3 13+ -4  4
Curve Equation t Generators 31265f1 [0,1,1,-26420,1644049] 1 [5924:813:64]
31265g (1 curve)	1	5- 13+ 37-	-2  1 5-  1  1 13+ -4  0
Curve Equation t Generators 31265g1 [0,1,1,-933950,332233906] 1 [95:15632:1]

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

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