Cremona's table of elliptic curves

6225 = 3 · 5² · 83

Class	r	Atkin-Lehner	Eigenvalues
6225a (2 curves)	0	3+ 5- 83+	1 3+ 5- -4  2  2 -6  4
Curve Equation t 6225a1 [1,1,0,90,-2025] 2 6225a2 [1,1,0,-1985,-33150] 2
6225b (1 curve)	1	3+ 5- 83-	1 3+ 5-  3  3 -4 -5  2
Curve Equation t Generators 6225b1 [1,1,0,-2100,-38025] 1 [510:2175:8]
6225c (1 curve)	1	3+ 5- 83-	-1 3+ 5-  3 -1  4 -1 -2
Curve Equation t Generators 6225c1 [1,1,1,-263,-68344] 1 [69:463:1]
6225d (1 curve)	0	3- 5+ 83+	1 3- 5+ -3 -1 -4  1 -2
Curve Equation t 6225d1 [1,0,1,-11,-547] 1
6225e (4 curves)	0	3- 5+ 83+	-1 3- 5+  0  0 -2  2 -4
Curve Equation t 6225e1 [1,0,0,-338,-333] 2 6225e2 [1,0,0,-3463,77792] 4 6225e3 [1,0,0,-55338,5005917] 4 6225e4 [1,0,0,-1588,162167] 2
6225f (1 curve)	0	3- 5+ 83+	-1 3- 5+ -3  3  4  5  2
Curve Equation t 6225f1 [1,0,0,-52513,-4648108] 1
6225g (2 curves)	1	3- 5+ 83-	1 3- 5+  0  2 -4  4 -2
Curve Equation t Generators 6225g1 [1,0,1,-867376,-310023727] 2 [-7641279798:6038393231:14886936] 6225g2 [1,0,1,-476751,-590492477] 2 [1084487:1128828381:1]
6225h (1 curve)	1	3- 5+ 83-	1 3- 5+  0 -3  6  4 -7
Curve Equation t Generators 6225h1 [1,0,1,-1376,19523] 1 [21:-8:1]
6225i (1 curve)	1	3- 5+ 83-	-1 3- 5+  4 -3 -2 -4 -1
Curve Equation t Generators 6225i1 [1,0,0,37,42] 1 [3:12:1]
6225j (2 curves)	0	3- 5- 83-	-1 3- 5-  4  2 -2  6  4
Curve Equation t 6225j1 [1,0,0,2237,-257608] 2 6225j2 [1,0,0,-49638,-4044483] 2

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

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