Cremona's table of elliptic curves

37553 = 17 · 47²

Class	r	Atkin-Lehner	Eigenvalues
37553a (4 curves)	1	17- 47-	-1  0  2  4  0  2 17-  4
Curve Equation t Generators 37553a1 [1,-1,1,-1519,-9354] 2 [33654:2165661:8] 37553a2 [1,-1,1,-12564,538478] 4 [2660229411:-2946083512:45499293] 37553a3 [1,-1,1,-1519,1444168] 2 [3988:78639:64] 37553a4 [1,-1,1,-200329,34561496] 2 [1183149:-3006259:4913]
37553b (2 curves)	1	17- 47-	-1  2  0 -2  0  6 17-  4
Curve Equation t Generators 37553b1 [1,1,1,-260708,-48630620] 2 [-736418160:2938307975:2985984] 37553b2 [1,1,1,-779823,204489854] 2 [-161016:10557539:512]
37553c (2 curves)	1	17- 47-	-1  2 -4 -2  0 -2 17- -4
Curve Equation t Generators 37553c1 [1,1,1,-35390,-2387414] 2 [-19622402:-4435077:148877] 37553c2 [1,1,1,-554505,-159160144] 2 [-594482016513:314501567479:1378749897]
37553d (2 curves)	1	17- 47-	-1 -2  2  2  4 -4 17- -4
Curve Equation t Generators 37553d1 [1,0,0,2163,-6635960] 2 [2141724785505933120:156114657951302975695:397649103814656] 37553d2 [1,0,0,-516952,-140463807] 2 [706122528:103245263283:32768]
37553e (2 curves)	1	17- 47-	-1 -2 -2  2 -4  4 17-  4
Curve Equation t Generators 37553e1 [1,0,0,1,64] 2 [0:8:1] 37553e2 [1,0,0,-234,1333] 2 [-4:49:1]

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

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