Cremona's table of elliptic curves

53874 = 2 · 3² · 41 · 73

Class	r	Atkin-Lehner	Eigenvalues
53874a (6 curves)	1	2+ 3- 41+ 73-	2+ 3-  2  0  4 -2  6 -4
Curve Equation t Generators 53874a1 [1,-1,0,-219366,-39093836] 2 [-383075:688027:1331] 53874a2 [1,-1,0,-403686,36366772] 4 [217846041:2434669817:328509] 53874a3 [1,-1,0,1488474,278941684] 2 [1275472922649:39499699770592313:2361669926013] 53874a4 [1,-1,0,-5244966,4621058932] 4 [65487:2086994:27] 53874a5 [1,-1,0,-4049406,6782870524] 2 [-1105:100088:1] 53874a6 [1,-1,0,-83901006,295821450220] 2 [2332372575:11680525226:421875]
53874b (4 curves)	1	2+ 3- 41+ 73-	2+ 3- -2  0  4  2 -6  0
Curve Equation t Generators 53874b1 [1,-1,0,-573,-5131] 2 [35:112:1] 53874b2 [1,-1,0,-753,-1495] 4 [-8:67:1] 53874b3 [1,-1,0,2937,-14041] 2 [23:244:1] 53874b4 [1,-1,0,-7323,241595] 2 [65:160:1]
53874c (1 curve)	1	2+ 3- 41+ 73-	2+ 3- -3  0  0  5 -8  2
Curve Equation t Generators 53874c1 [1,-1,0,-7461,259861] 1 [26:275:1]
53874d (2 curves)	2	2+ 3- 41- 73-	2+ 3-  0  0 -4 -2 -2 -6
Curve Equation t Generators 53874d1 [1,-1,0,-657,6237] 2 [-14:119:1]&[-18:711:8] 53874d2 [1,-1,0,-2097,-29187] 2 [-23:92:1]&[-17:45:1]
53874e (2 curves)	0	2+ 3- 41- 73-	2+ 3- -2  2  6  0  8  8
Curve Equation t 53874e1 [1,-1,0,-37666098,88819244500] 2 53874e2 [1,-1,0,-51121458,19731353044] 2
53874f (1 curve)	0	2- 3- 41+ 73-	2- 3-  0  0  4  1 -7  3
Curve Equation t 53874f1 [1,-1,1,40,-277] 1
53874g (2 curves)	0	2- 3- 41+ 73-	2- 3-  0  0 -6 -4 -2  8
Curve Equation t 53874g1 [1,-1,1,-40094780,97330939071] 2 53874g2 [1,-1,1,-61352420,-17086182465] 2
53874h (2 curves)	0	2- 3- 41- 73+	2- 3-  2  2 -2  2  2  4
Curve Equation t 53874h1 [1,-1,1,-69989,7099485] 2 53874h2 [1,-1,1,-25709,15937773] 2
53874i (2 curves)	0	2- 3- 41- 73+	2- 3-  4  4  2  0 -2 -4
Curve Equation t 53874i1 [1,-1,1,-5918,-172371] 2 53874i2 [1,-1,1,-94478,-11153811] 2
53874j (2 curves)	0	2- 3- 41- 73+	2- 3- -4  2 -4  4  2  0
Curve Equation t 53874j1 [1,-1,1,-59657,-4295815] 2 53874j2 [1,-1,1,139603,-27011455] 2
53874k (4 curves)	1	2- 3- 41- 73-	2- 3-  0  2  0  2  0 -4
Curve Equation t Generators 53874k1 [1,-1,1,-252275,5786255] 2 [-354:33023:8] 53874k2 [1,-1,1,-2942285,1939365443] 2 [137935950:-812521897:125000] 53874k3 [1,-1,1,-14886950,22112021621] 6 [38747670:13714427:17576] 53874k4 [1,-1,1,-238190990,1414993301525] 6 [287903182837165350:-144394146817606141:32309356625000]
53874l (4 curves)	1	2- 3- 41- 73-	2- 3-  0  2  0  2  0 -4
Curve Equation t Generators 53874l1 [1,-1,1,-7274345,-7549780507] 2 [-43803730174147047190545:21912115654117046618126:28133435349881505125] 53874l2 [1,-1,1,-7278035,-7541734831] 2 [1265930030664884228944900417093790612070:-1076845529010000171196562802854396778796021:1751565900942489490310417348033000] 53874l3 [1,-1,1,-7562300,-6919473985] 6 [-191197023:3957990281:148877] 53874l4 [1,-1,1,-32373860,64061436863] 6 [20707511698022766:-789217237152667501:3939820186184]
53874m (2 curves)	1	2- 3- 41- 73-	2- 3- -2  2 -6  6  2 -4
Curve Equation t Generators 53874m1 [1,-1,1,-21281,-1160463] 2 [-81:204:1] 53874m2 [1,-1,1,4639,-3825039] 2 [311:-5412:1]
53874n (2 curves)	1	2- 3- 41- 73-	2- 3- -2 -2 -2 -2 -6  4
Curve Equation t Generators 53874n1 [1,-1,1,-22901,1339517] 2 [85:-2:1] 53874n2 [1,-1,1,-21281,1535861] 2 [-9:1318:1]

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