Cremona's table of elliptic curves

123225 = 3 · 5² · 31 · 53

Class	r	Atkin-Lehner	Eigenvalues
123225a (1 curve)	1	3+ 5+ 31+ 53+	0 3+ 5+ -1  0 -4  4  0
Curve Equation t Generators 123225a1 [0,-1,1,1467,95843] 1 [207:3037:1]
123225b (1 curve)	1	3+ 5+ 31+ 53+	2 3+ 5+  3 -6  2  6  0
Curve Equation t Generators 123225b1 [0,-1,1,-305758,65597043] 1 [94344:2014119:512]
123225c (2 curves)	0	3+ 5+ 31- 53+	0 3+ 5+ -2  6  4 -3  2
Curve Equation t 123225c1 [0,-1,1,-18033,1257968] 1 123225c2 [0,-1,1,140967,-14979907] 1
123225d (1 curve)	1	3+ 5+ 31- 53-	0 3+ 5+  1  2 -2  4  2
Curve Equation t Generators 123225d1 [0,-1,1,-4283,122468] 1 [2:337:1]
123225e (1 curve)	1	3+ 5+ 31- 53-	0 3+ 5+  3 -4  4  0 -8
Curve Equation t Generators 123225e1 [0,-1,1,-9633,501293] 1 [47:-388:1]
123225f (1 curve)	1	3+ 5+ 31- 53-	0 3+ 5+ -3 -2 -2  0 -6
Curve Equation t Generators 123225f1 [0,-1,1,-21733,-2012382] 1 [11482:1230187:1]
123225g (1 curve)	1	3+ 5+ 31- 53-	-2 3+ 5+  5  0  4 -2 -2
Curve Equation t Generators 123225g1 [0,-1,1,-58,-732] 1 [12:12:1]
123225h (1 curve)	0	3+ 5- 31+ 53+	2 3+ 5-  1  3 -2 -3  0
Curve Equation t 123225h1 [0,-1,1,-1458,7193] 1
123225i (1 curve)	1	3+ 5- 31+ 53-	1 3+ 5- -2  1 -3  0  2
Curve Equation t Generators 123225i1 [1,1,0,-661450,206525875] 1 [-774:16373:1]
123225j (2 curves)	1	3+ 5- 31+ 53-	1 3+ 5-  4  4 -6  6 -4
Curve Equation t Generators 123225j1 [1,1,0,-2735,-56400] 2 [48547396:370492454:493039] 123225j2 [1,1,0,-43810,-3547775] 2 [104840646271592:-1277051470928737:335992273408]
123225k (1 curve)	2	3+ 5- 31- 53-	0 3+ 5- -3  3 -2  5 -6
Curve Equation t Generators 123225k1 [0,-1,1,-46733,3903893] 1 [-203:2232:1]&[-49:2464:1]
123225l (1 curve)	2	3- 5+ 31+ 53+	-1 3- 5+ -4 -3  1  2  4
Curve Equation t Generators 123225l1 [1,0,0,-2313,-5508] 1 [-39:180:1]&[-33:204:1]
123225m (1 curve)	1	3- 5+ 31+ 53-	-2 3- 5+ -1  3  2  3  0
Curve Equation t Generators 123225m1 [0,1,1,-58,34] 1 [14:-47:1]
123225n (1 curve)	1	3- 5+ 31- 53+	0 3- 5+  3  3  2 -5 -6
Curve Equation t Generators 123225n1 [0,1,1,-1168333,485649994] 1 [562:2620:1]
123225o (1 curve)	0	3- 5+ 31- 53-	0 3- 5+  3  0 -4  4  0
Curve Equation t 123225o1 [0,1,1,-286783,-59210906] 1
123225p (1 curve)	2	3- 5+ 31- 53-	-2 3- 5+ -1 -2 -6  2 -8
Curve Equation t Generators 123225p1 [0,1,1,17592,1501094] 1 [93:-1988:1]&[-57:562:1]
123225q (1 curve)	1	3- 5- 31+ 53+	-1 3- 5-  2  1  3  0  2
Curve Equation t Generators 123225q1 [1,0,0,-26458,1652207] 1 [71:-400:1]
123225r (2 curves)	1	3- 5- 31+ 53+	-1 3- 5- -4  4  6 -6 -4
Curve Equation t Generators 123225r1 [1,0,0,-68388,-6913233] 2 [581:11939:1] 123225r2 [1,0,0,-1095263,-441281358] 2 [35562:523210:27]

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