Cremona's table of elliptic curves

3225 = 3 · 5² · 43

Class	r	Atkin-Lehner	Eigenvalues
3225a (2 curves)	1	3+ 5+ 43+	0 3+ 5+ -2  0 -2 -3  2
Curve Equation t Generators 3225a1 [0,-1,1,417,-26557] 1 [33:148:1] 3225a2 [0,-1,1,-55833,-5060932] 1 [1908:82648:1]
3225b (1 curve)	0	3+ 5+ 43-	0 3+ 5+  2 -5  5 -5 -6
Curve Equation t 3225b1 [0,-1,1,45367,17564168] 1
3225c (4 curves)	0	3+ 5+ 43-	-1 3+ 5+  0  0  2  6  4
Curve Equation t 3225c1 [1,1,1,-613,-6094] 2 3225c2 [1,1,1,-738,-3594] 4 3225c3 [1,1,1,-6113,179156] 2 3225c4 [1,1,1,2637,-23844] 2
3225d (1 curve)	0	3+ 5+ 43-	2 3+ 5+  4 -3 -5  7  0
Curve Equation t 3225d1 [0,-1,1,242,5043] 1
3225e (4 curves)	0	3- 5+ 43+	-1 3- 5+  0  4 -6  2  0
Curve Equation t 3225e1 [1,0,0,37,792] 4 3225e2 [1,0,0,-1088,13167] 4 3225e3 [1,0,0,-2963,-44958] 2 3225e4 [1,0,0,-17213,867792] 2
3225f (1 curve)	1	3- 5+ 43-	0 3- 5+  2 -5 -3  3  2
Curve Equation t Generators 3225f1 [0,1,1,-483,3944] 1 [18:37:1]
3225g (2 curves)	1	3- 5+ 43-	-1 3- 5+ -4 -2 -2  0  6
Curve Equation t Generators 3225g1 [1,0,0,-563,4992] 2 [7:34:1] 3225g2 [1,0,0,62,15617] 2 [-13:119:1]
3225h (1 curve)	1	3- 5+ 43-	2 3- 5+ -4  1 -5  3  0
Curve Equation t Generators 3225h1 [0,1,1,-450008,-116342731] 1 [7754:151571:8]
3225i (1 curve)	1	3- 5+ 43-	-2 3- 5+  0  5 -1 -5  4
Curve Equation t Generators 3225i1 [0,1,1,-419508,106073894] 1 [-387:14512:1]
3225j (2 curves)	0	3- 5- 43-	0 3- 5-  2  0  2  3  2
Curve Equation t 3225j1 [0,1,1,17,-206] 3 3225j2 [0,1,1,-2233,-41381] 1

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

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