Cremona's table of elliptic curves

30225 = 3 · 5² · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
30225a (1 curve)	1	3+ 5+ 13+ 31+	0 3+ 5+  2  1 13+  4  0
Curve Equation t Generators 30225a1 [0,-1,1,-333,2693] 1 [27:112:1]
30225b (1 curve)	1	3+ 5+ 13+ 31+	0 3+ 5+  5  1 13+ -5 -6
Curve Equation t Generators 30225b1 [0,-1,1,-90533,-22373782] 1 [721908:21354373:729]
30225c (4 curves)	1	3+ 5+ 13+ 31+	-1 3+ 5+  0  0 13+  2  4
Curve Equation t Generators 30225c1 [1,1,1,-5838,108906] 2 [-21:482:1] 30225c2 [1,1,1,-83963,9327656] 4 [-75:3937:1] 30225c3 [1,1,1,-74588,11502656] 2 [5038:114719:8] 30225c4 [1,1,1,-1343338,598715156] 2 [7150:81471:8]
30225d (1 curve)	1	3+ 5+ 13+ 31+	-2 3+ 5+ -2  5 13+  0  2
Curve Equation t Generators 30225d1 [0,-1,1,472742,-2825449332] 1 [46687:10088587:1]
30225e (3 curves)	0	3+ 5+ 13+ 31-	0 3+ 5+  1 -3 13+  3  2
Curve Equation t 30225e1 [0,-1,1,-94343283,352738865468] 1 30225e2 [0,-1,1,-93951783,355811111093] 1 30225e3 [0,-1,1,365165967,1698697735718] 1
30225f (3 curves)	0	3+ 5+ 13+ 31-	0 3+ 5+  1  6 13+ -6  2
Curve Equation t 30225f1 [0,-1,1,-15283,731343] 1 30225f2 [0,-1,1,-62533,-5293032] 1 30225f3 [0,-1,1,-4898533,-4171355907] 1
30225g (2 curves)	0	3+ 5+ 13+ 31-	0 3+ 5+  4 -3 13+ -3  5
Curve Equation t 30225g1 [0,-1,1,-2263,-37767] 1 30225g2 [0,-1,1,-179713,-29263782] 1
30225h (4 curves)	0	3+ 5+ 13+ 31-	-1 3+ 5+  0  4 13+ -2 -4
Curve Equation t 30225h1 [1,1,1,-465838,145850906] 2 30225h2 [1,1,1,-7846963,8456997656] 4 30225h3 [1,1,1,-8241838,7558262156] 2 30225h4 [1,1,1,-125550088,541416747656] 2
30225i (1 curve)	0	3+ 5+ 13+ 31-	2 3+ 5+  3 -2 13+ -2 -4
Curve Equation t 30225i1 [0,-1,1,-1758,-18457] 1
30225j (1 curve)	1	3+ 5+ 13- 31-	1 3+ 5+  4 -4 13-  1  0
Curve Equation t Generators 30225j1 [1,1,0,-40410,3110805] 1 [116:-27:1]
30225k (1 curve)	1	3+ 5+ 13- 31-	-2 3+ 5+ -2 -1 13-  4 -6
Curve Equation t Generators 30225k1 [0,-1,1,-2015336908,-35056879194282] 1 [3772106:2577980921:8]
30225l (2 curves)	0	3+ 5- 13+ 31+	1 3+ 5- -2  4 13+  0  4
Curve Equation t 30225l1 [1,1,0,-65,0] 2 30225l2 [1,1,0,260,325] 2
30225m (1 curve)	0	3+ 5- 13+ 31+	-1 3+ 5- -2 -1 13+  0  7
Curve Equation t 30225m1 [1,1,1,-70513,-182160844] 1
30225n (1 curve)	1	3+ 5- 13+ 31-	0 3+ 5- -1 -3 13+ -3  0
Curve Equation t Generators 30225n1 [0,-1,1,-21713,1241828] 1 [82:-78:1]
30225o (1 curve)	1	3+ 5- 13+ 31-	-1 3+ 5- -2  3 13+ -4 -7
Curve Equation t Generators 30225o1 [1,1,1,-763,10406] 1 [10:-68:1]
30225p (1 curve)	1	3+ 5- 13+ 31-	-2 3+ 5- -4 -5 13+  7  7
Curve Equation t Generators 30225p1 [0,-1,1,-31208,-2057482] 1 [-89:84:1]
30225q (1 curve)	1	3+ 5- 13- 31+	0 3+ 5-  1  2 13-  2  0
Curve Equation t Generators 30225q1 [0,-1,1,-13,3] 1 [-3:2:1]
30225r (1 curve)	1	3+ 5- 13- 31+	0 3+ 5-  1  6 13- -6 -4
Curve Equation t Generators 30225r1 [0,-1,1,-4892583,4067416943] 1 [-1433:90187:1]
30225s (1 curve)	1	3+ 5- 13- 31+	0 3+ 5- -4 -4 13- -6  6
Curve Equation t Generators 30225s1 [0,-1,1,-83,-1807] 1 [17:37:1]
30225t (1 curve)	0	3+ 5- 13- 31-	0 3+ 5- -5  2 13- -2  8
Curve Equation t 30225t1 [0,-1,1,-196803833,-1062604404307] 1
30225u (1 curve)	0	3- 5+ 13+ 31+	0 3- 5+  4 -4 13+  6  6
Curve Equation t 30225u1 [0,1,1,-3,-16] 1
30225v (1 curve)	0	3- 5+ 13+ 31+	2 3- 5+ -2  1 13+ -8  6
Curve Equation t 30225v1 [0,1,1,-11058,-1017331] 1
30225w (1 curve)	0	3- 5+ 13- 31-	0 3- 5+  3 -3 13-  1  6
Curve Equation t 30225w1 [0,1,1,-2490625033,-47848844042906] 1
30225x (4 curves)	0	3- 5+ 13- 31-	-1 3- 5+ -4 -4 13-  6  4
Curve Equation t 30225x1 [1,0,0,-838,7667] 2 30225x2 [1,0,0,-3963,-89208] 4 30225x3 [1,0,0,4162,-406083] 4 30225x4 [1,0,0,-62088,-5959833] 2
30225y (1 curve)	0	3- 5+ 13- 31-	2 3- 5+ -2 -5 13- -4 -2
Curve Equation t 30225y1 [0,1,1,242,9019] 1
30225z (1 curve)	0	3- 5+ 13- 31-	2 3- 5+  4 -5 13- -7  7
Curve Equation t 30225z1 [0,1,1,-780208,-258745631] 1
30225ba (1 curve)	0	3- 5+ 13- 31-	2 3- 5+  5  2 13- -6  4
Curve Equation t 30225ba1 [0,1,1,-161408,-23254531] 1
30225bb (1 curve)	1	3- 5- 13+ 31+	0 3- 5- -1  2 13+ -2  0
Curve Equation t Generators 30225bb1 [0,1,1,-333,-256] 1 [-86:371:8]
30225bc (1 curve)	1	3- 5- 13+ 31+	0 3- 5- -1  6 13+  6 -4
Curve Equation t Generators 30225bc1 [0,1,1,-195703,32461054] 1 [-9564:204659:27]
30225bd (1 curve)	0	3- 5- 13+ 31-	0 3- 5-  5  2 13+  2  8
Curve Equation t 30225bd1 [0,1,1,-7872153,-8503984096] 1
30225be (1 curve)	2	3- 5- 13+ 31-	-1 3- 5- -4 -4 13+ -1  0
Curve Equation t Generators 30225be1 [1,0,0,-1010263,390871142] 1 [-1123:11024:1]&[1202:-30826:1]
30225bf (1 curve)	0	3- 5- 13- 31+	1 3- 5-  2 -1 13-  0  7
Curve Equation t 30225bf1 [1,0,1,-2821,-1457287] 1
30225bg (2 curves)	0	3- 5- 13- 31+	-1 3- 5-  2  4 13-  0  4
Curve Equation t 30225bg1 [1,0,0,-1638,3267] 2 30225bg2 [1,0,0,6487,27642] 2
30225bh (1 curve)	1	3- 5- 13- 31-	0 3- 5-  1 -3 13-  3  0
Curve Equation t Generators 30225bh1 [0,1,1,-542833,154142869] 1 [-367:17437:1]
30225bi (2 curves)	1	3- 5- 13- 31-	0 3- 5- -4 -3 13-  3  5
Curve Equation t Generators 30225bi1 [0,1,1,-56583,-4834006] 3 [-1286:2921:8] 30225bi2 [0,1,1,-4492833,-3666958381] 1 [-3358922:2255:2744]
30225bj (1 curve)	1	3- 5- 13- 31-	1 3- 5-  2  3 13-  4 -7
Curve Equation t Generators 30225bj1 [1,0,1,-31,83] 1 [7:11:1]

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