Cremona's table of elliptic curves

36225 = 3² · 5² · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
36225a (1 curve)	1	3+ 5+ 7+ 23+	2 3+ 5+ 7+ -1  0  4  7
Curve Equation t Generators 36225a1 [0,0,1,-9525,382781] 1 [-30:5171:8]
36225b (1 curve)	0	3+ 5+ 7+ 23-	-2 3+ 5+ 7+  1  0 -4  7
Curve Equation t 36225b1 [0,0,1,-85725,-10335094] 1
36225c (2 curves)	0	3+ 5+ 7- 23+	1 3+ 5+ 7-  2  2 -6  4
Curve Equation t 36225c1 [1,-1,0,-18942,605591] 2 36225c2 [1,-1,0,58683,4253966] 2
36225d (2 curves)	0	3+ 5+ 7- 23+	1 3+ 5+ 7- -4 -4  6  4
Curve Equation t 36225d1 [1,-1,0,-933567,338642216] 2 36225d2 [1,-1,0,224058,1122354341] 2
36225e (1 curve)	0	3+ 5+ 7- 23+	1 3+ 5+ 7-  5 -4  6  1
Curve Equation t 36225e1 [1,-1,0,-42,-2989] 1
36225f (1 curve)	0	3+ 5+ 7- 23+	2 3+ 5+ 7- -1  0  4 -3
Curve Equation t 36225f1 [0,0,1,-2175,40281] 1
36225g (1 curve)	0	3+ 5+ 7- 23+	2 3+ 5+ 7- -4  0  4 -3
Curve Equation t 36225g1 [0,0,1,294375,-103767969] 1
36225h (1 curve)	0	3+ 5+ 7- 23+	-2 3+ 5+ 7- -1 -4  0  1
Curve Equation t 36225h1 [0,0,1,-310830075,2184902841656] 1
36225i (1 curve)	2	3+ 5+ 7- 23+	-2 3+ 5+ 7- -4 -4  0  1
Curve Equation t Generators 36225i1 [0,0,1,-11205,456536] 1 [-702:6989:8]&[54:94:1]
36225j (2 curves)	1	3+ 5+ 7- 23-	-1 3+ 5+ 7- -2  2  6  4
Curve Equation t Generators 36225j1 [1,-1,1,-2105,-21728] 2 [-16:95:1] 36225j2 [1,-1,1,6520,-159728] 2 [49:500:1]
36225k (2 curves)	1	3+ 5+ 7- 23-	-1 3+ 5+ 7-  4 -4 -6  4
Curve Equation t Generators 36225k1 [1,-1,1,-103730,-12507728] 2 [784:-20080:1] 36225k2 [1,-1,1,24895,-41576978] 2 [1099:35675:1]
36225l (1 curve)	1	3+ 5+ 7- 23-	-1 3+ 5+ 7- -5 -4 -6  1
Curve Equation t Generators 36225l1 [1,-1,1,-5,112] 1 [-2:11:1]
36225m (1 curve)	1	3+ 5+ 7- 23-	2 3+ 5+ 7-  1 -4  0  1
Curve Equation t Generators 36225m1 [0,0,1,-34536675,-80922327469] 1 [55410:881471:8]
36225n (1 curve)	1	3+ 5+ 7- 23-	2 3+ 5+ 7-  4 -4  0  1
Curve Equation t Generators 36225n1 [0,0,1,-1245,-16909] 1 [962:10027:8]
36225o (1 curve)	1	3+ 5+ 7- 23-	-2 3+ 5+ 7-  1  0 -4 -3
Curve Equation t Generators 36225o1 [0,0,1,-19575,-1087594] 1 [660:16537:1]
36225p (1 curve)	1	3+ 5+ 7- 23-	-2 3+ 5+ 7-  4  0 -4 -3
Curve Equation t Generators 36225p1 [0,0,1,2649375,2801735156] 1 [-356:42584:1]
36225q (2 curves)	0	3+ 5- 7+ 23+	1 3+ 5- 7+  0 -2 -4  6
Curve Equation t 36225q1 [1,-1,0,-3837,-90504] 2 36225q2 [1,-1,0,-4362,-63729] 2
36225r (1 curve)	0	3+ 5- 7+ 23+	1 3+ 5- 7+ -5  4  6  1
Curve Equation t 36225r1 [1,-1,0,-117,13916] 1
36225s (2 curves)	0	3+ 5- 7+ 23+	-1 3+ 5- 7+  0  2  4  2
Curve Equation t 36225s1 [1,-1,1,-2000,-11798] 2 36225s2 [1,-1,1,-17525,888652] 2
36225t (1 curve)	0	3+ 5- 7+ 23+	2 3+ 5- 7+  4  0  4 -3
Curve Equation t 36225t1 [0,0,1,105975,22413881] 1
36225u (1 curve)	0	3+ 5- 7+ 23+	-2 3+ 5- 7+  4  4  0  1
Curve Equation t 36225u1 [0,0,1,-31125,-2113594] 1
36225v (2 curves)	1	3+ 5- 7+ 23-	1 3+ 5- 7+  0  2 -4  2
Curve Equation t Generators 36225v1 [1,-1,0,-222,511] 2 [-6:43:1] 36225v2 [1,-1,0,-1947,-32264] 2 [-186:137:8]
36225w (2 curves)	1	3+ 5- 7+ 23-	-1 3+ 5- 7+  0 -2  4  6
Curve Equation t Generators 36225w1 [1,-1,1,-34535,2478142] 2 [-80:2213:1] 36225w2 [1,-1,1,-39260,1759942] 2 [-85:2158:1]
36225x (1 curve)	1	3+ 5- 7+ 23-	-1 3+ 5- 7+  5  4 -6  1
Curve Equation t Generators 36225x1 [1,-1,1,-1055,-374678] 1 [394:7565:1]
36225y (1 curve)	1	3+ 5- 7+ 23-	2 3+ 5- 7+ -4  4  0  1
Curve Equation t Generators 36225y1 [0,0,1,-280125,57067031] 1 [2450:321:8]
36225z (1 curve)	1	3+ 5- 7+ 23-	-2 3+ 5- 7+ -4  0 -4 -3
Curve Equation t Generators 36225z1 [0,0,1,11775,-830144] 1 [59:264:1]
36225ba (2 curves)	1	3+ 5- 7- 23+	1 3+ 5- 7-  0  2 -4  6
Curve Equation t Generators 36225ba1 [1,-1,0,-863367,308904416] 2 [-1045490:8766169:1000] 36225ba2 [1,-1,0,-981492,219011291] 2 [2567403825787328:-789778633539736789:27216576512]
36225bb (2 curves)	1	3+ 5- 7- 23+	-1 3+ 5- 7-  0 -2  4  2
Curve Equation t Generators 36225bb1 [1,-1,1,-5555,58322] 2 [-56:465:1] 36225bb2 [1,-1,1,-48680,-4081678] 2 [-125:258:1]
36225bc (2 curves)	0	3+ 5- 7- 23-	1 3+ 5- 7-  0 -2 -4  2
Curve Equation t 36225bc1 [1,-1,0,-49992,-1524709] 2 36225bc2 [1,-1,0,-438117,110643416] 2
36225bd (2 curves)	0	3+ 5- 7- 23-	-1 3+ 5- 7-  0  2  4  6
Curve Equation t 36225bd1 [1,-1,1,-95930,-11408928] 2 36225bd2 [1,-1,1,-109055,-8075178] 2
36225be (2 curves)	0	3- 5+ 7+ 23+	0 3- 5+ 7+ -3  4 -6 -1
Curve Equation t 36225be1 [0,0,1,-4800,-395969] 1 36225be2 [0,0,1,42450,9691906] 1
36225bf (4 curves)	2	3- 5+ 7+ 23+	-1 3- 5+ 7+ -4 -6 -2  4
Curve Equation t Generators 36225bf1 [1,-1,1,-830,9172] 2 [-26:125:1]&[-1:100:1] 36225bf2 [1,-1,1,-1955,-20078] 4 [-32:110:1]&[-31:115:1] 36225bf3 [1,-1,1,5920,-146078] 2 [43:410:1]&[382:3755:8] 36225bf4 [1,-1,1,-27830,-1779578] 2 [-95:56:1]&[2750:41839:8]
36225bg (1 curve)	1	3- 5+ 7+ 23-	0 3- 5+ 7+  3  0 -2  7
Curve Equation t Generators 36225bg1 [0,0,1,-22196550,-49690994094] 1 [18830:2491762:1]
36225bh (2 curves)	1	3- 5+ 7+ 23-	0 3- 5+ 7+  3 -2  0 -4
Curve Equation t Generators 36225bh1 [0,0,1,-28020,-13155359] 1 [2341:112918:1] 36225bh2 [0,0,1,251430,349319236] 1 [90702514:4518988537:39304]
36225bi (4 curves)	1	3- 5+ 7+ 23-	1 3- 5+ 7+  4 -2  6 -4
Curve Equation t Generators 36225bi1 [1,-1,0,-5292,-9509] 2 [-218:2809:8] 36225bi2 [1,-1,0,-60417,-5687384] 4 [-29406:20203:216] 36225bi3 [1,-1,0,-36792,-10199759] 2 [4942:111379:8] 36225bi4 [1,-1,0,-966042,-365220509] 2 [17351368:3184155991:512]
36225bj (2 curves)	1	3- 5+ 7+ 23-	-1 3- 5+ 7+  2  4 -2  0
Curve Equation t Generators 36225bj1 [1,-1,1,-51755,3907122] 2 [170:-72:1] 36225bj2 [1,-1,1,88870,21344622] 2 [248:7530:1]
36225bk (4 curves)	1	3- 5+ 7+ 23-	-1 3- 5+ 7+ -4 -2 -2  0
Curve Equation t Generators 36225bk1 [1,-1,1,-51980,-1185978] 4 [-1538:11115:8] 36225bk2 [1,-1,1,-647105,-199957728] 4 [-3746:5595:8] 36225bk3 [1,-1,1,-465980,-314428728] 2 [13054:450795:8] 36225bk4 [1,-1,1,-10350230,-12814020228] 2 [278036:9816525:64]
36225bl (1 curve)	1	3- 5+ 7+ 23-	2 3- 5+ 7+ -1 -2  4 -3
Curve Equation t Generators 36225bl1 [0,0,1,375,-2219] 1 [1010:11471:8]
36225bm (1 curve)	1	3- 5+ 7+ 23-	-2 3- 5+ 7+ -5  4  0 -4
Curve Equation t Generators 36225bm1 [0,0,1,31875,-1002344] 1 [76:1363:1]
36225bn (2 curves)	1	3- 5+ 7- 23+	1 3- 5+ 7-  2  0 -2 -4
Curve Equation t Generators 36225bn1 [1,-1,0,-323442,70675591] 2 [-3738:89369:8] 36225bn2 [1,-1,0,-182817,132409966] 2 [218:-10252:1]
36225bo (4 curves)	1	3- 5+ 7- 23+	-1 3- 5+ 7-  0 -2 -6 -4
Curve Equation t Generators 36225bo1 [1,-1,1,-63005,-6053628] 2 [290:-114:1] 36225bo2 [1,-1,1,-91130,-91128] 4 [-126:3125:1] 36225bo3 [1,-1,1,364495,-1002378] 2 [134:7020:1] 36225bo4 [1,-1,1,-996755,382082622] 2 [909:14595:1]
36225bp (4 curves)	1	3- 5+ 7- 23+	-1 3- 5+ 7- -4  6 -2  0
Curve Equation t Generators 36225bp1 [1,-1,1,-18230,841772] 4 [-146:685:1] 36225bp2 [1,-1,1,-73355,-6765478] 4 [-191:595:1] 36225bp3 [1,-1,1,107770,-35020978] 2 [16756:204715:64] 36225bp4 [1,-1,1,-1136480,-466035478] 2 [-4930:3059:8]
36225bq (1 curve)	1	3- 5+ 7- 23+	2 3- 5+ 7-  0  4  6 -1
Curve Equation t Generators 36225bq1 [0,0,1,-1875,94531] 1 [-54790:180569:1000]
36225br (1 curve)	1	3- 5+ 7- 23+	2 3- 5+ 7-  1 -4  0 -4
Curve Equation t Generators 36225br1 [0,0,1,-255,-1859] 1 [482:3587:8]
36225bs (1 curve)	1	3- 5+ 7- 23+	2 3- 5+ 7-  5  2  0 -5
Curve Equation t Generators 36225bs1 [0,0,1,-21675,1433281] 1 [12050:465521:8]
36225bt (1 curve)	1	3- 5+ 7- 23+	2 3- 5+ 7-  5 -3 -5  0
Curve Equation t Generators 36225bt1 [0,0,1,5175825,-8102258469] 1 [55698:4835953:8]
36225bu (1 curve)	0	3- 5+ 7- 23-	0 3- 5+ 7- -1  0  2 -3
Curve Equation t 36225bu1 [0,0,1,6562950,14561260906] 1
36225bv (1 curve)	2	3- 5+ 7- 23-	0 3- 5+ 7- -4 -6 -4 -3
Curve Equation t Generators 36225bv1 [0,0,1,60,8991] 1 [41:-284:1]&[-19:31:1]
36225bw (2 curves)	2	3- 5+ 7- 23-	-1 3- 5+ 7- -2 -4 -6 -8
Curve Equation t Generators 36225bw1 [1,-1,1,-36605,2703772] 2 [-211:1105:1]&[134:-505:1] 36225bw2 [1,-1,1,-30980,3558772] 2 [-191:1670:1]&[334:-5680:1]
36225bx (4 curves)	0	3- 5+ 7- 23-	-1 3- 5+ 7-  4  2  6  4
Curve Equation t 36225bx1 [1,-1,1,520,-7954478] 2 36225bx2 [1,-1,1,-594605,-173399228] 4 36225bx3 [1,-1,1,-1241480,271650772] 2 36225bx4 [1,-1,1,-9469730,-11214054728] 2
36225by (1 curve)	0	3- 5+ 7- 23-	2 3- 5+ 7-  1 -7  3 -8
Curve Equation t 36225by1 [0,0,1,-2925,-166219] 1
36225bz (1 curve)	1	3- 5- 7+ 23+	0 3- 5- 7+  1  1 -1  2
Curve Equation t Generators 36225bz1 [0,0,1,-77250,-8264844] 1 [24402:693701:27]
36225ca (1 curve)	1	3- 5- 7+ 23+	0 3- 5- 7+ -4  6  4 -3
Curve Equation t Generators 36225ca1 [0,0,1,1500,1123906] 1 [26:1086:1]
36225cb (2 curves)	1	3- 5- 7+ 23+	1 3- 5- 7+  2  2 -4  2
Curve Equation t Generators 36225cb1 [1,-1,0,-259992,51090291] 2 [618:10923:1] 36225cb2 [1,-1,0,-254367,53402166] 2 [-306:10278:1]
36225cc (2 curves)	0	3- 5- 7+ 23-	1 3- 5- 7+  0  4  8  6
Curve Equation t 36225cc1 [1,-1,0,-271962,50867271] 2 36225cc2 [1,-1,0,268263,227520846] 2
36225cd (1 curve)	2	3- 5- 7+ 23-	-2 3- 5- 7+  0 -4 -6 -1
Curve Equation t Generators 36225cd1 [0,0,1,-75,756] 1 [5:-23:1]&[-9:26:1]
36225ce (1 curve)	0	3- 5- 7+ 23-	-2 3- 5- 7+  1  4  0 -4
Curve Equation t 36225ce1 [0,0,1,-6375,-232344] 1
36225cf (2 curves)	0	3- 5- 7- 23+	0 3- 5- 7-  3  2  0 -4
Curve Equation t 36225cf1 [0,0,1,-700500,-1644419844] 1 36225cf2 [0,0,1,6285750,43664904531] 3
36225cg (2 curves)	0	3- 5- 7- 23+	-1 3- 5- 7-  0 -4 -8  6
Curve Equation t 36225cg1 [1,-1,1,-6799055,6351609822] 2 36225cg2 [1,-1,1,6706570,28446812322] 2
36225ch (1 curve)	0	3- 5- 7- 23+	2 3- 5- 7- -5 -4  0 -4
Curve Equation t 36225ch1 [0,0,1,1275,-8019] 1
36225ci (1 curve)	1	3- 5- 7- 23-	0 3- 5- 7-  1 -1  1  2
Curve Equation t Generators 36225ci1 [0,0,1,-3090,-66119] 1 [65:87:1]
36225cj (2 curves)	1	3- 5- 7- 23-	-1 3- 5- 7-  2 -2  4  2
Curve Equation t Generators 36225cj1 [1,-1,1,-10400,410802] 2 [14:510:1] 36225cj2 [1,-1,1,-10175,429252] 2 [38:-330:1]

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