Cremona's table of elliptic curves

81225 = 3² · 5² · 19²

Class	r	Atkin-Lehner	Eigenvalues
81225a (2 curves)	1	3+ 5+ 19+	0 3+ 5+  1  0  7  0 19+
Curve Equation t Generators 81225a1 [0,0,1,0,451] 1 [19:85:1] 81225a2 [0,0,1,0,-12184] 1 [24:40:1]
81225b (2 curves)	1	3+ 5+ 19+	0 3+ 5+  4  0 -2  0 19+
Curve Equation t Generators 81225b1 [0,0,1,0,162901] 1 [722:7577:8] 81225b2 [0,0,1,0,-4398334] 1 [1362:5855:8]
81225c (2 curves)	0	3+ 5+ 19-	0 3+ 5+  1  0 -7  0 19-
Curve Equation t 81225c1 [0,0,1,0,-3095124] 1 81225c2 [0,0,1,0,83568341] 1
81225d (2 curves)	0	3+ 5+ 19-	0 3+ 5+  4  0  2  0 19-
Curve Equation t 81225d1 [0,0,1,0,-24] 1 81225d2 [0,0,1,0,641] 1
81225e (2 curves)	0	3+ 5+ 19-	0 3+ 5+ -5  0  5  0 19-
Curve Equation t 81225e1 [0,0,1,0,-8574] 1 81225e2 [0,0,1,0,231491] 1
81225f (2 curves)	0	3+ 5- 19+	0 3+ 5- -1  0 -7  0 19+
Curve Equation t 81225f1 [0,0,1,0,56406] 3 81225f2 [0,0,1,0,-1522969] 1
81225g (2 curves)	0	3+ 5- 19+	0 3+ 5- -4  0  2  0 19+
Curve Equation t 81225g1 [0,0,1,0,20362656] 3 81225g2 [0,0,1,0,-549791719] 1
81225h (2 curves)	1	3+ 5- 19-	0 3+ 5- -1  0  7  0 19-
Curve Equation t Generators 81225h1 [0,0,1,0,-386890469] 1 [1917175:36604489:2197] 81225h2 [0,0,1,0,10446042656] 1 [-522989407939554192:42513765292789355488:450988269174703]
81225i (2 curves)	1	3+ 5- 19-	0 3+ 5- -4  0 -2  0 19-
Curve Equation t Generators 81225i1 [0,0,1,0,-2969] 1 [25:112:1] 81225i2 [0,0,1,0,80156] 1 [6:283:1]
81225j (2 curves)	1	3+ 5- 19-	0 3+ 5-  5  0 -5  0 19-
Curve Equation t Generators 81225j1 [0,0,1,0,-1071719] 1 [1225:42862:1] 81225j2 [0,0,1,0,28936406] 1 [143783934:5066190949:117649]
81225k (2 curves)	1	3+ 5- 19-	1 3+ 5-  2  2  2 -2 19-
Curve Equation t Generators 81225k1 [1,-1,0,-7690992,8303054291] 2 [-329737150:37508344627:300763] 81225k2 [1,-1,0,-123436617,527885164916] 2 [1045307702667469850:-55731343423406769743:105837241307608]
81225l (2 curves)	1	3+ 5- 19-	1 3+ 5- -2 -2 -2 -2 19-
Curve Equation t Generators 81225l1 [1,-1,0,-34182,-2451049] 2 [136570:4374903:125] 81225l2 [1,-1,0,-548607,-156264124] 2 [5943091030:-154328875417:4913000]
81225m (2 curves)	1	3+ 5- 19-	-1 3+ 5-  2 -2  2  2 19-
Curve Equation t Generators 81225m1 [1,-1,1,-854555,-307235678] 2 [783082760:23459439322:493039] 81225m2 [1,-1,1,-13715180,-19546730678] 2 [227202101314991845:-14460480601709290966:34732130875883]
81225n (2 curves)	1	3+ 5- 19-	-1 3+ 5- -2  2 -2  2 19-
Curve Equation t Generators 81225n1 [1,-1,1,-307640,66485962] 2 [290:1118:1] 81225n2 [1,-1,1,-4937465,4224068812] 2 [-371:77675:1]
81225o (2 curves)	0	3- 5+ 19+	0 3- 5+ -2  3  4  0 19+
Curve Equation t 81225o1 [0,0,1,-17490450,27420352906] 1 81225o2 [0,0,1,-1406437950,20301539773531] 1
81225p (2 curves)	0	3- 5+ 19+	0 3- 5+ -3  5  0 -7 19+
Curve Equation t 81225p1 [0,0,1,-8550,-304594] 1 81225p2 [0,0,1,-3086550,2089208531] 1
81225q (2 curves)	0	3- 5+ 19+	0 3- 5+  4 -3 -2  6 19+
Curve Equation t 81225q1 [0,0,1,-8230800,-9085817219] 1 81225q2 [0,0,1,-23663550,32991575656] 1
81225r (2 curves)	0	3- 5+ 19+	1 3- 5+ -1  2 -5 -4 19+
Curve Equation t 81225r1 [1,-1,0,160758,-27020709] 1 81225r2 [1,-1,0,-53853867,152132177916] 1
81225s (2 curves)	0	3- 5+ 19+	1 3- 5+ -2  4  2  6 19+
Curve Equation t 81225s1 [1,-1,0,2583,-75384] 2 81225s2 [1,-1,0,-18792,-780759] 2
81225t (2 curves)	0	3- 5+ 19+	-1 3- 5+ -2  4 -2  6 19+
Curve Equation t 81225t1 [1,-1,1,932395,512396772] 2 81225t2 [1,-1,1,-6783980,5389145772] 2
81225u (1 curve)	0	3- 5+ 19+	2 3- 5+  2  3 -6  6 19+
Curve Equation t 81225u1 [0,0,1,-514425,4072531] 1
81225v (1 curve)	0	3- 5+ 19+	-2 3- 5+  2 -1 -2  2 19+
Curve Equation t 81225v1 [0,0,1,-2951175,-1324181844] 1
81225w (3 curves)	1	3- 5+ 19-	0 3- 5+  1 -3 -4 -3 19-
Curve Equation t Generators 81225w1 [0,0,1,54150,-214344] 1 [3914:245299:1] 81225w2 [0,0,1,-758100,-270287469] 1 [1190457407:72893784937:300763] 81225w3 [0,0,1,-62489100,-190131694344] 1 [22202769870505978358586854:-1150835684727557029534808936:2129199263584182248311]
81225x (2 curves)	1	3- 5+ 19-	0 3- 5+ -2  3 -4  0 19-
Curve Equation t Generators 81225x1 [0,0,1,-48450,-3997719] 1 [-135:287:1] 81225x2 [0,0,1,-3895950,-2959839594] 1 [-1245248370:-535726:1092727]
81225y (2 curves)	1	3- 5+ 19-	0 3- 5+  4 -3  2  6 19-
Curve Equation t Generators 81225y1 [0,0,1,-22800,1324656] 1 [80:112:1] 81225y2 [0,0,1,-65550,-4809969] 1 [-205:112:1]
81225z (8 curves)	1	3- 5+ 19-	1 3- 5+  0  4 -2  2 19-
Curve Equation t Generators 81225z1 [1,-1,0,-1692,4314091] 2 [-986:13489:8] 81225z2 [1,-1,0,-407817,98941216] 4 [14214:557497:8] 81225z3 [1,-1,0,-813942,-130519409] 4 [-2336732104:-67613644573:6229504] 81225z4 [1,-1,0,-6499692,6379664341] 2 [11662:1819:8] 81225z5 [1,-1,0,2841183,-982163534] 2 [233469139985936984:-14752154772514796617:74810045011456] 81225z6 [1,-1,0,-10967067,-13969228784] 4 [-5233866583070014096:-861326849855493952:2693800076180221] 81225z7 [1,-1,0,-8936442,-19303680659] 2 [992862817871689501714168247195656:302527380839459145111379748014918597:10647650710699347576606032384] 81225z8 [1,-1,0,-175447692,-894434014409] 2 [-5455035132355512600164877211965256:2717509581757656383113461593409203:713337590961864277128143842816]
81225ba (1 curve)	1	3- 5+ 19-	1 3- 5+  0 -5  4 -4 19-
Curve Equation t Generators 81225ba1 [1,-1,0,37524258,61652627041] 1 [102545009920:14349107358409:30080231]
81225bb (2 curves)	1	3- 5+ 19-	1 3- 5+  2  6  0 -6 19-
Curve Equation t Generators 81225bb1 [1,-1,0,1541583,-37011384] 2 [488232624:54750488313:5451776] 81225bb2 [1,-1,0,-6174792,-291651759] 2 [1355208:21659271:512]
81225bc (1 curve)	1	3- 5+ 19-	1 3- 5+ -4 -3  0  0 19-
Curve Equation t Generators 81225bc1 [1,-1,0,-50427,-4358934] 1 [3330:190026:1]
81225bd (4 curves)	1	3- 5+ 19-	-1 3- 5+  0  0  6 -6 19-
Curve Equation t Generators 81225bd1 [1,-1,1,-123530,-14410528] 2 [-185:1536:1] 81225bd2 [1,-1,1,-529655,134231222] 4 [69:9865:1] 81225bd3 [1,-1,1,688720,660569222] 2 [69396:3279295:64] 81225bd4 [1,-1,1,-8246030,9116091722] 2 [309:81070:1]
81225be (2 curves)	1	3- 5+ 19-	-1 3- 5+ -1  2  5 -4 19-
Curve Equation t Generators 81225be1 [1,-1,1,445,3822] 1 [14:-120:1] 81225be2 [1,-1,1,-149180,-22140678] 1 [4004:250110:1]
81225bf (2 curves)	1	3- 5+ 19-	-1 3- 5+  2  2 -4  2 19-
Curve Equation t Generators 81225bf1 [1,-1,1,120145,-409506978] 2 [16945502:-3775001385:343] 81225bf2 [1,-1,1,-7596230,-7848092478] 2 [-475678:-1210770:343]
81225bg (4 curves)	1	3- 5+ 19-	-1 3- 5+ -4 -4  2  2 19-
Curve Equation t Generators 81225bg1 [1,-1,1,1825870,-4293199128] 2 [13134:1505120:1] 81225bg2 [1,-1,1,-31070255,-62256171378] 4 [-1576952:-32452155:512] 81225bg3 [1,-1,1,-100517630,314148601122] 2 [18622:2427435:8] 81225bg4 [1,-1,1,-487960880,-4148685921378] 2 [-1960338094376:1171481145735:153990656]
81225bh (1 curve)	1	3- 5+ 19-	2 3- 5+  2 -1  2  2 19-
Curve Equation t Generators 81225bh1 [0,0,1,-1065374175,9082563266281] 1 [-3807304055014756415640208021726120:10243800462566068604217924890149324589:3183356049002573078609872451072]
81225bi (2 curves)	1	3- 5+ 19-	2 3- 5+ -3  3 -6  3 19-
Curve Equation t Generators 81225bi1 [0,0,1,1597425,-887597469] 1 [59054040106:22544629818341:405224] 81225bi2 [0,0,1,-356604825,-2591969158719] 1 [411588247907415188232446879846312193885518605482875554:156014073087339879142910534404386416608792957793728151969:2814443757000374128446915014949863343124711190216]
81225bj (1 curve)	1	3- 5+ 19-	2 3- 5+  5 -1  2 -1 19-
Curve Equation t Generators 81225bj1 [0,0,1,-189525,34938031] 1 [675374:4907867:2744]
81225bk (1 curve)	1	3- 5+ 19-	-2 3- 5+  2  3  6  6 19-
Curve Equation t Generators 81225bk1 [0,0,1,-1425,-594] 1 [-10:112:1]
81225bl (2 curves)	1	3- 5+ 19-	-2 3- 5+  3 -2  1  2 19-
Curve Equation t Generators 81225bl1 [0,0,1,5415,677326] 1 [-56:445:1] 81225bl2 [0,0,1,-676875,-219702344] 1 [10444574:627832967:2744]
81225bm (2 curves)	1	3- 5- 19+	2 3- 5-  4  1  2 -2 19+
Curve Equation t Generators 81225bm1 [0,0,1,-7716375,8246875781] 1 [153190350:92141707:97336] 81225bm2 [0,0,1,-7646927625,-257382244174219] 1 [-20324727855323535039863921919992368615499395322408269030690050:1256288384308092911846287589418751267850829710284365188227:402570234407358450436390795645214225409914239032263714296]
81225bn (2 curves)	1	3- 5- 19+	-2 3- 5- -4  1 -2  2 19+
Curve Equation t Generators 81225bn1 [0,0,1,-308655,65975006] 1 [0:8122:1] 81225bn2 [0,0,1,-305877105,-2059057953394] 1 [-300814080:-6773:29791]
81225bo (2 curves)	0	3- 5- 19-	1 3- 5- -2  4 -2  4 19-
Curve Equation t 81225bo1 [1,-1,0,25383,54249416] 2 81225bo2 [1,-1,0,-2005242,1067531291] 2
81225bp (1 curve)	0	3- 5- 19-	-1 3- 5-  0 -5 -4  4 19-
Curve Equation t 81225bp1 [1,-1,1,1500970,492920822] 1
81225bq (2 curves)	0	3- 5- 19-	-1 3- 5-  2  4  2 -4 19-
Curve Equation t 81225bq1 [1,-1,1,1015,433792] 2 81225bq2 [1,-1,1,-80210,8556292] 2
81225br (1 curve)	0	3- 5- 19-	-1 3- 5-  4 -3  0  0 19-
Curve Equation t 81225br1 [1,-1,1,-1260680,-546127428] 1
81225bs (2 curves)	0	3- 5- 19-	2 3- 5- -3 -2 -1 -2 19-
Curve Equation t 81225bs1 [0,0,1,-27075,-1757619] 1 81225bs2 [0,0,1,135375,84665781] 1
81225bt (2 curves)	0	3- 5- 19-	2 3- 5- -4  1  2  2 19-
Curve Equation t 81225bt1 [0,0,1,-855,-9619] 1 81225bt2 [0,0,1,-847305,300197981] 1
81225bu (2 curves)	0	3- 5- 19-	-2 3- 5-  4  1 -2 -2 19-
Curve Equation t 81225bu1 [0,0,1,-21375,-1202344] 1 81225bu2 [0,0,1,-21182625,37524747656] 1

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