Cremona's table of elliptic curves

75555 = 3² · 5 · 23 · 73

Class	r	Atkin-Lehner	Eigenvalues
75555a (1 curve)	0	3- 5+ 23+ 73+	-1 3- 5+  4  5  3 -6 -2
Curve Equation t 75555a1 [1,-1,1,67,-304] 1
75555b (2 curves)	1	3- 5+ 23+ 73-	-1 3- 5+  0  2 -2 -2  4
Curve Equation t Generators 75555b1 [1,-1,1,-8348,295022] 2 [78:-377:1] 75555b2 [1,-1,1,-5243,514856] 2 [55:-653:1]
75555c (2 curves)	1	3- 5+ 23- 73+	1 3- 5+  0  4 -2 -2 -2
Curve Equation t Generators 75555c1 [1,-1,0,602703720,-6287569738349] 2 [56968596169971892462292772029289228792936:-14505313949253799311728584158548372141349593:1021032577582726484741063340186491392] 75555c2 [1,-1,0,-3668780655,-61050562316474] 2 [-103993413722477060334:-16376964288148119471083:3601135600840952]
75555d (4 curves)	0	3- 5+ 23- 73-	1 3- 5+  4  0  6  6 -4
Curve Equation t 75555d1 [1,-1,0,-200700,-33528789] 2 75555d2 [1,-1,0,-495945,88171200] 4 75555d3 [1,-1,0,1432260,605315781] 2 75555d4 [1,-1,0,-7148070,7356282975] 2
75555e (2 curves)	0	3- 5- 23+ 73-	1 3- 5-  2  4  2  6  0
Curve Equation t 75555e1 [1,-1,0,-549,3280] 2 75555e2 [1,-1,0,-3654,-81797] 2
75555f (1 curve)	0	3- 5- 23+ 73-	-2 3- 5- -3  6 -2  5  2
Curve Equation t 75555f1 [0,0,1,-21137697327,1182872722023360] 1
75555g (1 curve)	0	3- 5- 23- 73+	-1 3- 5-  4 -1  3  2  2
Curve Equation t 75555g1 [1,-1,1,-5197577,4562188076] 1
75555h (4 curves)	1	3- 5- 23- 73-	-1 3- 5-  0 -4 -2 -6  4
Curve Equation t Generators 75555h1 [1,-1,1,-1382,30476] 4 [19:94:1] 75555h2 [1,-1,1,-25187,1544474] 4 [57:511:1] 75555h3 [1,-1,1,-28292,1142066] 2 [-21:1324:1] 75555h4 [1,-1,1,-402962,98557094] 2 [2942:-1209:8]

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

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