Cremona's table of elliptic curves

31205 = 5 · 79²

Class	r	Atkin-Lehner	Eigenvalues
31205a (1 curve)	1	5+ 79+	2  2 5+  2  4  0 -6  7
Curve Equation t Generators 31205a1 [0,-1,1,-164346,-14731823] 1 [-121467911126207735298622633769425400966274:-1775378626243171117823686707551739036373469:540053592838834296732095644373976837912]
31205b (1 curve)	0	5+ 79-	2 -2 5+ -2  4  0  6  7
Curve Equation t 31205b1 [0,1,1,-26,21] 1
31205c (4 curves)	1	5- 79-	-1  0 5-  4  4  6 -6 -4
Curve Equation t Generators 31205c1 [1,-1,1,-41737,-6198776] 4 [140051151645238102898:-4152329199541832570166:154905199921096379] 31205c2 [1,-1,1,-821862,-286419676] 4 [82063581709666295774994740083093467:-1225851569437328237490797666637910934:71657500190327334022502314818001] 31205c3 [1,-1,1,-977887,-169900206] 2 [-9807119373092086553970:-235033351509599911868139:16886175254424377000] 31205c4 [1,-1,1,-13147837,-18346438246] 2 [11732655482106090558317835482240314231492125850496486248071427329642426:-1887326119075236301449239464305530274669326179296097591838700074261766809:447060483114292989905863407682648574164043951127453047694196736952]
31205d (2 curves)	1	5- 79-	-1 -2 5- -2  4 -6  0  4
Curve Equation t Generators 31205d1 [1,0,0,-249770,54778987] 2 [-3898:64359:8] 31205d2 [1,0,0,-4150395,3254071612] 2 [74676:-6133:64]
31205e (2 curves)	1	5- 79-	-2  1 5- -3 -3  4  2  0
Curve Equation t Generators 31205e1 [0,1,1,-314130,-68888216] 1 [658:3120:1] 31205e2 [0,1,1,1870220,2773388004] 1 [-1046531928:17020622965:1124864]

Data from Elliptic Curve Data by J. E. Cremona.
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