Cremona's table of elliptic curves

108225 = 3² · 5² · 13 · 37

Class	r	Atkin-Lehner	Eigenvalues
108225a (1 curve)	0	3+ 5+ 13- 37+	0 3+ 5+  0  1 13- -5  7
Curve Equation t 108225a1 [0,0,1,-125550,151324031] 1
108225b (1 curve)	0	3+ 5+ 13- 37+	0 3+ 5+  0 -1 13-  5  7
Curve Equation t 108225b1 [0,0,1,-13950,-5604594] 1
108225c (1 curve)	0	3+ 5+ 13- 37+	2 3+ 5+ -4  0 13- -3  0
Curve Equation t 108225c1 [0,0,1,-5625,163281] 1
108225d (1 curve)	0	3+ 5+ 13- 37+	-2 3+ 5+ -4  0 13-  3  0
Curve Equation t 108225d1 [0,0,1,-50625,-4408594] 1
108225e (1 curve)	1	3+ 5- 13+ 37-	2 3+ 5-  4  0 13+ -3  0
Curve Equation t Generators 108225e1 [0,0,1,-2025,-35269] 1 [1824217067849412:8361870633040721:29183974263872]
108225f (1 curve)	1	3+ 5- 13+ 37-	-2 3+ 5-  4  0 13+  3  0
Curve Equation t Generators 108225f1 [0,0,1,-225,1306] 1 [10:-8:1]
108225g (1 curve)	0	3- 5+ 13+ 37+	1 3- 5+  2  6 13+  0 -1
Curve Equation t 108225g1 [1,-1,0,-432,5881] 1
108225h (6 curves)	0	3- 5+ 13+ 37+	-1 3- 5+  0  4 13+ -6 -4
Curve Equation t 108225h1 [1,-1,1,-1415255,-647643378] 2 108225h2 [1,-1,1,-1506380,-559434378] 4 108225h3 [1,-1,1,3363745,-3432808128] 2 108225h4 [1,-1,1,-7834505,7958221872] 4 108225h5 [1,-1,1,6424870,33682134372] 2 108225h6 [1,-1,1,-123343880,527288371872] 2
108225i (1 curve)	0	3- 5+ 13+ 37+	-1 3- 5+  2  2 13+ -4  5
Curve Equation t 108225i1 [1,-1,1,-1733555,878959072] 1
108225j (4 curves)	0	3- 5+ 13+ 37+	-1 3- 5+ -4  0 13+ -6  4
Curve Equation t 108225j1 [1,-1,1,-229505,-37220128] 2 108225j2 [1,-1,1,-932630,308717372] 4 108225j3 [1,-1,1,1345495,1579911122] 2 108225j4 [1,-1,1,-14460755,21169086122] 2
108225k (4 curves)	0	3- 5+ 13+ 37+	-1 3- 5+ -4 -4 13+  2  8
Curve Equation t 108225k1 [1,-1,1,-146630,-21574628] 2 108225k2 [1,-1,1,-147755,-21225878] 4 108225k3 [1,-1,1,42370,-72179378] 2 108225k4 [1,-1,1,-355880,52034122] 2
108225l (1 curve)	0	3- 5+ 13+ 37+	2 3- 5+  2  3 13+ -3 -5
Curve Equation t 108225l1 [0,0,1,-75,351] 1
108225m (2 curves)	1	3- 5+ 13+ 37-	1 3- 5+ -2 -4 13+ -4  0
Curve Equation t Generators 108225m1 [1,-1,0,-3104892,-2104784109] 2 [3774:197913:1] 108225m2 [1,-1,0,-3378267,-1711944234] 2 [-5778:152739:8]
108225n (2 curves)	1	3- 5+ 13+ 37-	-1 3- 5+  2  0 13+  4  4
Curve Equation t Generators 108225n1 [1,-1,1,-4280,49722] 2 [-22:375:1] 108225n2 [1,-1,1,-34655,-2441028] 2 [-97:75:1]
108225o (1 curve)	1	3- 5+ 13- 37+	0 3- 5+  4  3 13-  3  1
Curve Equation t Generators 108225o1 [0,0,1,24450,285156] 1 [25700:553693:64]
108225p (1 curve)	1	3- 5+ 13- 37+	0 3- 5+ -4 -3 13-  1 -3
Curve Equation t Generators 108225p1 [0,0,1,-75000,-12268719] 1 [755:-19013:1]
108225q (2 curves)	1	3- 5+ 13- 37+	-1 3- 5+  0 -2 13-  8  4
Curve Equation t Generators 108225q1 [1,-1,1,-419131130,2329439268872] 2 [-29038686:-10522964152:4913] 108225q2 [1,-1,1,1118603245,15458615362622] 2 [1177469635563:-402184062259259:59776471]
108225r (2 curves)	1	3- 5+ 13- 37+	-1 3- 5+  2  0 13-  0  0
Curve Equation t Generators 108225r1 [1,-1,1,-52880,4029122] 2 [63:940:1] 108225r2 [1,-1,1,-812255,281960372] 2 [279:8635:1]
108225s (2 curves)	1	3- 5+ 13- 37+	-1 3- 5+  2  0 13-  6 -6
Curve Equation t Generators 108225s1 [1,-1,1,-13537130,-19167260128] 2 [2034264:2900400055:1] 108225s2 [1,-1,1,-13347005,-19731931378] 2 [417795102221:595681268361825:205379]
108225t (1 curve)	1	3- 5+ 13- 37+	-1 3- 5+  2  6 13-  0 -3
Curve Equation t Generators 108225t1 [1,-1,1,788890,-436097878] 1 [175623114:7775606438:103823]
108225u (2 curves)	1	3- 5+ 13- 37+	-1 3- 5+  4  2 13- -8 -4
Curve Equation t Generators 108225u1 [1,-1,1,-2030,-33028] 2 [-30:28:1] 108225u2 [1,-1,1,1345,-134278] 2 [45:103:1]
108225v (1 curve)	1	3- 5+ 13- 37+	-2 3- 5+  1  3 13- -8 -6
Curve Equation t Generators 108225v1 [0,0,1,-3675,-56844] 1 [-30:162:1]
108225w (1 curve)	0	3- 5+ 13- 37-	0 3- 5+  2  5 13-  3  5
Curve Equation t 108225w1 [0,0,1,-300,30906] 1
108225x (4 curves)	0	3- 5+ 13- 37-	1 3- 5+  0  0 13- -2  4
Curve Equation t 108225x1 [1,-1,0,-22167,-1236384] 2 108225x2 [1,-1,0,-50292,2560491] 4 108225x3 [1,-1,0,157833,18169866] 2 108225x4 [1,-1,0,-708417,229613616] 2
108225y (2 curves)	0	3- 5+ 13- 37-	1 3- 5+  2 -2 13-  6 -4
Curve Equation t 108225y1 [1,-1,0,-55692,5070091] 2 108225y2 [1,-1,0,-45567,6963466] 2
108225z (2 curves)	0	3- 5+ 13- 37-	1 3- 5+ -2  2 13- -2 -4
Curve Equation t 108225z1 [1,-1,0,-30800817,-60308068784] 2 108225z2 [1,-1,0,35629308,-285041181659] 2
108225ba (2 curves)	0	3- 5+ 13- 37-	1 3- 5+ -2  2 13- -6  0
Curve Equation t 108225ba1 [1,-1,0,-380967,-90411184] 2 108225ba2 [1,-1,0,-379842,-90972559] 2
108225bb (4 curves)	0	3- 5+ 13- 37-	1 3- 5+  4 -4 13- -2 -4
Curve Equation t 108225bb1 [1,-1,0,-207792,-35973509] 2 108225bb2 [1,-1,0,-397917,40266616] 4 108225bb3 [1,-1,0,1430208,305344741] 2 108225bb4 [1,-1,0,-5268042,4652274991] 2
108225bc (4 curves)	0	3- 5+ 13- 37-	1 3- 5+ -4  0 13-  2 -4
Curve Equation t 108225bc1 [1,-1,0,-1747917,281916616] 2 108225bc2 [1,-1,0,-22251042,40365525991] 4 108225bc3 [1,-1,0,-16631667,61241504116] 2 108225bc4 [1,-1,0,-355920417,2584594510366] 4
108225bd (1 curve)	0	3- 5+ 13- 37-	1 3- 5+ -4  1 13- -6  5
Curve Equation t 108225bd1 [1,-1,0,-522,-4469] 1
108225be (1 curve)	0	3- 5+ 13- 37-	2 3- 5+  1  1 13- -4  0
Curve Equation t 108225be1 [0,0,1,-1243425,-510851219] 1
108225bf (1 curve)	1	3- 5- 13+ 37+	-1 3- 5-  4  1 13+  6  5
Curve Equation t Generators 108225bf1 [1,-1,1,-13055,-571678] 1 [138:421:1]
108225bg (2 curves)	0	3- 5- 13+ 37-	1 3- 5-  0  2 13+ -6  4
Curve Equation t 108225bg1 [1,-1,0,-17982,929551] 2 108225bg2 [1,-1,0,-9657,1787026] 2
108225bh (1 curve)	0	3- 5- 13+ 37-	1 3- 5- -2  6 13+  0 -3
Curve Equation t 108225bh1 [1,-1,0,19722258,-54492512459] 1
108225bi (2 curves)	0	3- 5- 13- 37+	-1 3- 5-  0  2 13-  6  4
Curve Equation t 108225bi1 [1,-1,1,-449555,115744322] 2 108225bi2 [1,-1,1,-241430,223136822] 2
108225bj (1 curve)	1	3- 5- 13- 37-	1 3- 5- -2  2 13-  4  5
Curve Equation t Generators 108225bj1 [1,-1,0,-69342,7045541] 1 [124:523:1]
108225bk (1 curve)	1	3- 5- 13- 37-	-1 3- 5- -2  6 13-  0 -1
Curve Equation t Generators 108225bk1 [1,-1,1,-10805,724322] 1 [144:1390:1]
108225bl (1 curve)	1	3- 5- 13- 37-	-2 3- 5- -2  3 13-  3 -5
Curve Equation t Generators 108225bl1 [0,0,1,-1875,43906] 1 [25:-113:1]

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

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