Cremona's table of elliptic curves

225 = 3² · 5²

Class	r	Atkin-Lehner	Eigenvalues
225a (2 curves)	1	3+ 5+	0 3+ 5+ -5  0 -5  0 -1
Curve Equation t Generators 225a1 [0,0,1,0,1] 1 [1:1:1] 225a2 [0,0,1,0,-34] 1 [6:13:1]
225b (2 curves)	0	3+ 5-	0 3+ 5-  5  0  5  0 -1
Curve Equation t 225b1 [0,0,1,0,156] 3 225b2 [0,0,1,0,-4219] 1
225c (8 curves)	0	3- 5+	-1 3- 5+  0  4  2  2  4
Curve Equation t 225c1 [1,-1,1,-5,-628] 4 225c2 [1,-1,1,-1130,-14128] 4 225c3 [1,-1,1,-18005,-925378] 2 225c4 [1,-1,1,-2255,19622] 4 225c5 [1,-1,1,-30380,2044622] 4 225c6 [1,-1,1,7870,141122] 2 225c7 [1,-1,1,-486005,130530872] 2 225c8 [1,-1,1,-24755,2820872] 2
225d (2 curves)	0	3- 5+	2 3- 5+  3 -2 -1  2 -5
Curve Equation t 225d1 [0,0,1,15,-99] 1 225d2 [0,0,1,-1875,32031] 1
225e (2 curves)	1	3- 5-	-2 3- 5- -3 -2  1 -2 -5
Curve Equation t Generators 225e1 [0,0,1,-75,256] 1 [-5:22:1] 225e2 [0,0,1,375,-12344] 1 [100:-1013:1]

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

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