Cremona's table of elliptic curves

23273 = 17 · 37²

Class	r	Atkin-Lehner	Eigenvalues
23273a (1 curve)	1	17+ 37+	0 -3  0  3 -1  0 17+  2
Curve Equation t Generators 23273a1 [0,0,1,-54760,2444007] 1 [37:684:1]
23273b (4 curves)	1	17+ 37+	1  0  2  4  0  2 17+  4
Curve Equation t Generators 23273b1 [1,-1,0,-941,4984] 2 [79193742150:-640613835529:18609625000] 23273b2 [1,-1,0,-7786,-259233] 4 [-42243034886635859650:-15365775512445452929:791068156184125000] 23273b3 [1,-1,0,-941,-704158] 2 [148499217258:1539419885296:961504803] 23273b4 [1,-1,0,-124151,-16806336] 2 [-246289886103100014863013414946551970056450:121116267650436960743320457606560357020063:1212283802174806981621103678470746125000]
23273c (1 curve)	1	17+ 37+	1  0 -3 -1 -5  2 17+ -1
Curve Equation t Generators 23273c1 [1,-1,0,-233671,94353726] 1 [502:9916:1]
23273d (1 curve)	1	17+ 37+	-2  3  2  1 -3 -4 17+ -2
Curve Equation t Generators 23273d1 [0,0,1,-288859,59023408] 1 [-6882:290899:27]
23273e (1 curve)	0	17+ 37-	0 -1  0  1 -3 -6 17+  6
Curve Equation t 23273e1 [0,-1,1,-86278943,-308424076341] 1
23273f (1 curve)	2	17- 37+	-1  0 -1 -1 -5  2 17- -3
Curve Equation t Generators 23273f1 [1,-1,1,14802,-777742] 1 [146:2043:1]&[324:5998:1]
23273g (1 curve)	1	17- 37-	0 -1  0  1 -3  6 17- -6
Curve Equation t Generators 23273g1 [0,-1,1,-63023,-6068520] 1 [-144:8:1]

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