Cremona's table of elliptic curves

15225 = 3 · 5² · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
15225a (2 curves)	1	3+ 5+ 7+ 29+	0 3+ 5+ 7+  0  4  3 -1
Curve Equation t Generators 15225a1 [0,-1,1,37,23] 1 [11:40:1] 15225a2 [0,-1,1,-413,-3712] 1 [26:49:1]
15225b (2 curves)	0	3+ 5+ 7+ 29-	1 3+ 5+ 7+  0  0  4 -4
Curve Equation t 15225b1 [1,1,0,-1232875,525574000] 2 15225b2 [1,1,0,-842250,865027125] 2
15225c (1 curve)	0	3+ 5+ 7+ 29-	-2 3+ 5+ 7+  6  6  1 -7
Curve Equation t 15225c1 [0,-1,1,1042,-43432] 1
15225d (4 curves)	1	3+ 5+ 7- 29-	1 3+ 5+ 7- -4 -2 -6 -4
Curve Equation t Generators 15225d1 [1,1,0,-525,-3000] 2 [44:226:1] 15225d2 [1,1,0,-3650,81375] 4 [46:93:1] 15225d3 [1,1,0,-58025,5355750] 4 [1118:-381:8] 15225d4 [1,1,0,725,269500] 2 [4:520:1]
15225e (4 curves)	1	3+ 5+ 7- 29-	-1 3+ 5+ 7-  0  2  2  8
Curve Equation t Generators 15225e1 [1,1,1,-33313,2326406] 4 [-75:2137:1] 15225e2 [1,1,1,-33438,2307906] 4 [-30:1827:1] 15225e3 [1,1,1,-66063,-2977344] 2 [-170:1922:1] 15225e4 [1,1,1,-2813,6411656] 2 [-10:2542:1]
15225f (1 curve)	1	3+ 5+ 7- 29-	-2 3+ 5+ 7- -1  4  6 -4
Curve Equation t Generators 15225f1 [0,-1,1,-4953408,8285931218] 1 [1922:76562:1]
15225g (1 curve)	0	3+ 5- 7+ 29+	0 3+ 5- 7+  0  2  7 -5
Curve Equation t 15225g1 [0,-1,1,-183,-907] 1
15225h (1 curve)	2	3+ 5- 7+ 29+	0 3+ 5- 7+  1 -6 -2 -6
Curve Equation t Generators 15225h1 [0,-1,1,7,-37] 1 [7:17:1]&[21:94:1]
15225i (1 curve)	0	3+ 5- 7+ 29+	0 3+ 5- 7+  4  2 -3 -7
Curve Equation t 15225i1 [0,-1,1,-71083,-7389807] 1
15225j (2 curves)	2	3+ 5- 7+ 29+	-1 3+ 5- 7+ -2 -4 -6  6
Curve Equation t Generators 15225j1 [1,1,1,-133,506] 2 [-11:33:1]&[-4:33:1] 15225j2 [1,1,1,92,2306] 2 [-10:27:1]&[-4:45:1]
15225k (2 curves)	0	3+ 5- 7+ 29+	2 3+ 5- 7+  2 -4 -3 -5
Curve Equation t 15225k1 [0,-1,1,-1258,-46107] 1 15225k2 [0,-1,1,-46208,6390443] 1
15225l (1 curve)	0	3+ 5- 7- 29-	2 3+ 5- 7-  2 -2  5  7
Curve Equation t 15225l1 [0,-1,1,-7208,259943] 1
15225m (1 curve)	2	3- 5+ 7+ 29+	-2 3- 5+ 7+ -3 -4 -6  0
Curve Equation t Generators 15225m1 [0,1,1,-908,71594] 1 [-47:112:1]&[-32:262:1]
15225n (2 curves)	1	3- 5+ 7+ 29-	1 3- 5+ 7+  0 -4  8 -4
Curve Equation t Generators 15225n1 [1,0,1,-276,1573] 2 [43:242:1] 15225n2 [1,0,1,349,7823] 2 [-9:67:1]
15225o (6 curves)	1	3- 5+ 7+ 29-	1 3- 5+ 7+  4  2 -2 -4
Curve Equation t Generators 15225o1 [1,0,1,-19601,1129223] 2 [93:289:1] 15225o2 [1,0,1,-319726,69557723] 4 [307:446:1] 15225o3 [1,0,1,-325851,66752473] 4 [-67:9429:1] 15225o4 [1,0,1,-5115601,4452987473] 2 [10478:-3239:8] 15225o5 [1,0,1,-1061726,-342394027] 2 [9846:112523:8] 15225o6 [1,0,1,312024,296387473] 2 [2614:165207:8]
15225p (4 curves)	1	3- 5+ 7+ 29-	1 3- 5+ 7+ -4  2 -2  4
Curve Equation t Generators 15225p1 [1,0,1,724,11573] 2 [31829:305682:343] 15225p2 [1,0,1,-5401,121823] 4 [381:7117:1] 15225p3 [1,0,1,-27276,-1628177] 2 [-107:314:1] 15225p4 [1,0,1,-81526,8952323] 2 [26484:421363:64]
15225q (2 curves)	1	3- 5+ 7+ 29-	-1 3- 5+ 7+  0  6  2  0
Curve Equation t Generators 15225q1 [1,0,0,-13,392] 2 [1:19:1] 15225q2 [1,0,0,-888,10017] 2 [-3:114:1]
15225r (4 curves)	1	3- 5+ 7+ 29-	-1 3- 5+ 7+  0 -6  2  0
Curve Equation t Generators 15225r1 [1,0,0,-147188,13982367] 4 [-407:2755:1] 15225r2 [1,0,0,-967313,-355894008] 4 [-632:2080:1] 15225r3 [1,0,0,-15354938,-23160279633] 2 [-18106:10115:8] 15225r4 [1,0,0,298312,-1220315883] 2 [1012:10369:1]
15225s (1 curve)	1	3- 5+ 7+ 29-	-2 3- 5+ 7+  2  2 -5  7
Curve Equation t Generators 15225s1 [0,1,1,-288,1964] 1 [9:13:1]
15225t (1 curve)	1	3- 5+ 7- 29+	0 3- 5+ 7-  0 -2 -7 -5
Curve Equation t Generators 15225t1 [0,1,1,-4583,-122506] 1 [82:244:1]
15225u (1 curve)	1	3- 5+ 7- 29+	0 3- 5+ 7-  4 -2  3 -7
Curve Equation t Generators 15225u1 [0,1,1,-2843,-60256] 1 [82:514:1]
15225v (2 curves)	1	3- 5+ 7- 29+	-2 3- 5+ 7-  2  4  3 -5
Curve Equation t Generators 15225v1 [0,1,1,-1848,50384] 5 [-48:175:1] 15225v2 [0,1,1,-31458,-5826256] 1 [380610:6121759:1000]
15225w (1 curve)	1	3- 5+ 7- 29+	-2 3- 5+ 7-  5  4 -6 -8
Curve Equation t Generators 15225w1 [0,1,1,-4158,-106906] 1 [113:937:1]
15225x (8 curves)	0	3- 5+ 7- 29-	1 3- 5+ 7-  4  2 -2 -4
Curve Equation t 15225x1 [1,0,1,-198251,33959273] 2 15225x2 [1,0,1,-198376,33914273] 4 15225x3 [1,0,1,-276501,4695523] 4 15225x4 [1,0,1,-122251,60253523] 2 15225x5 [1,0,1,-2904626,-1898066977] 4 15225x6 [1,0,1,1101624,37770523] 2 15225x7 [1,0,1,-46422751,-121746983227] 2 15225x8 [1,0,1,-1436501,-3815438227] 2
15225y (2 curves)	0	3- 5- 7- 29+	0 3- 5- 7-  0 -4 -3 -1
Curve Equation t 15225y1 [0,1,1,917,4744] 3 15225y2 [0,1,1,-10333,-484631] 1
15225z (1 curve)	0	3- 5- 7- 29+	0 3- 5- 7-  1  6  2 -6
Curve Equation t 15225z1 [0,1,1,167,-4256] 1
15225ba (2 curves)	0	3- 5- 7- 29+	1 3- 5- 7- -2  4  6  6
Curve Equation t 15225ba1 [1,0,1,-3326,69923] 2 15225ba2 [1,0,1,2299,283673] 2
15225bb (1 curve)	1	3- 5- 7- 29-	2 3- 5- 7-  6 -6 -1 -7
Curve Equation t Generators 15225bb1 [0,1,1,42,-331] 1 [42:59:8]

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