Cremona's table of elliptic curves

69825 = 3 · 5² · 7² · 19

Class	r	Atkin-Lehner	Eigenvalues
69825a (1 curve)	1	3+ 5+ 7+ 19+	0 3+ 5+ 7+ -3 -2  7 19+
Curve Equation t Generators 69825a1 [0,-1,1,-11433,-732607] 1 [327:-5513:1]
69825b (1 curve)	1	3+ 5+ 7+ 19+	2 3+ 5+ 7+  3  0 -5 19+
Curve Equation t Generators 69825b1 [0,-1,1,-20008,17978043] 1 [-2294:1871:8]
69825c (1 curve)	1	3+ 5+ 7+ 19+	-2 3+ 5+ 7+ -1 -4  7 19+
Curve Equation t Generators 69825c1 [0,-1,1,-448758,601463918] 1 [1127:39062:1]
69825d (1 curve)	1	3+ 5+ 7+ 19+	-2 3+ 5+ 7+  4 -4 -3 19+
Curve Equation t Generators 69825d1 [0,-1,1,212742,37645418] 1 [1881:84199:1]
69825e (2 curves)	0	3+ 5+ 7+ 19-	0 3+ 5+ 7+  0 -2  0 19-
Curve Equation t 69825e1 [0,-1,1,-25153,1544913] 1 69825e2 [0,-1,1,26297,6653898] 1
69825f (2 curves)	0	3+ 5+ 7+ 19-	0 3+ 5+ 7+  3  4  3 19-
Curve Equation t 69825f1 [0,-1,1,-4281783,-7069653907] 1 69825f2 [0,-1,1,-441864033,-3574896529282] 1
69825g (1 curve)	2	3+ 5+ 7+ 19-	0 3+ 5+ 7+ -5 -4 -1 19-
Curve Equation t Generators 69825g1 [0,-1,1,-141283,21638343] 1 [-8601:-157951:27]&[-23:-4988:1]
69825h (1 curve)	0	3+ 5+ 7- 19+	0 3+ 5+ 7-  6  0 -2 19+
Curve Equation t 69825h1 [0,-1,1,22867,-2944957] 1
69825i (2 curves)	0	3+ 5+ 7- 19+	1 3+ 5+ 7- -2  0 -4 19+
Curve Equation t 69825i1 [1,1,0,-15950,696375] 2 69825i2 [1,1,0,-58825,-4748750] 2
69825j (6 curves)	0	3+ 5+ 7- 19+	1 3+ 5+ 7-  4  6  2 19+
Curve Equation t 69825j1 [1,1,0,153590475,-220964283000] 2 69825j2 [1,1,0,-644625650,-1808616155625] 4 69825j3 [1,1,0,-5953536775,175450617397000] 4 69825j4 [1,1,0,-8107172525,-280661605233750] 2 69825j5 [1,1,0,-1796505400,415930725409375] 2 69825j6 [1,1,0,-95053146150,11279667634975125] 2
69825k (1 curve)	1	3+ 5+ 7- 19-	0 3+ 5+ 7-  2 -2  2 19-
Curve Equation t Generators 69825k1 [0,-1,1,1000417,-1532707807] 1 [5883674:5045776549:8]
69825l (1 curve)	1	3+ 5+ 7- 19-	0 3+ 5+ 7-  2 -4  6 19-
Curve Equation t Generators 69825l1 [0,-1,1,-403783,-282129282] 1 [107575386:2104286776:103823]
69825m (1 curve)	1	3+ 5+ 7- 19-	0 3+ 5+ 7- -4  4 -4 19-
Curve Equation t Generators 69825m1 [0,-1,1,66967,30868718] 1 [9028:420143:64]
69825n (4 curves)	1	3+ 5+ 7- 19-	1 3+ 5+ 7-  0  2  6 19-
Curve Equation t Generators 69825n1 [1,1,0,-8202625,-9045506000] 2 [-1111128287763211204933116:725714793130568655940934:673780890886158334609] 69825n2 [1,1,0,-8502750,-8348315625] 4 [-7241797592959950:-151084313831832525:4875813219493] 69825n3 [1,1,0,13492125,-44353926000] 2 [18885615582467700589292:1484552585050310056236075:3569315339822339008] 69825n4 [1,1,0,-35299625,72283481250] 2 [2836130:-110743590:1331]
69825o (1 curve)	1	3+ 5+ 7- 19-	1 3+ 5+ 7- -2  1  2 19-
Curve Equation t Generators 69825o1 [1,1,0,-5170,141205] 1 [76:403:1]
69825p (6 curves)	1	3+ 5+ 7- 19-	1 3+ 5+ 7-  4 -2  2 19-
Curve Equation t Generators 69825p1 [1,1,0,-245025,-53418000] 2 [768846493166181266320:-164212210551700445086285:16931829209698304] 69825p2 [1,1,0,-4073150,-3165683625] 4 [57885477530:681177364235:24137569] 69825p3 [1,1,0,-4226275,-2915018000] 4 [-102880:374972:125] 69825p4 [1,1,0,-65170025,-202524786750] 2 [2988846408500211160:-1274263827644517948955:16449077421568] 69825p5 [1,1,0,6829350,-15595819875] 2 [726520710:-619626317361:1000] 69825p6 [1,1,0,-17731900,25811446375] 2 [70:156715:1]
69825q (1 curve)	1	3+ 5+ 7- 19-	1 3+ 5+ 7-  5  4 -4 19-
Curve Equation t Generators 69825q1 [1,1,0,565925,-113969750] 1 [24611222:746108402:79507]
69825r (2 curves)	1	3+ 5+ 7- 19-	1 3+ 5+ 7- -6 -6 -2 19-
Curve Equation t Generators 69825r1 [1,1,0,7325,-155000] 2 [24:176:1] 69825r2 [1,1,0,-35550,-1398375] 2 [-160:555:1]
69825s (2 curves)	1	3+ 5+ 7- 19-	-1 3+ 5+ 7- -2 -4  2 19-
Curve Equation t Generators 69825s1 [1,1,1,1812,759156] 2 [-60:692:1] 69825s2 [1,1,1,-114563,14491406] 2 [-300:4837:1]
69825t (2 curves)	1	3+ 5+ 7- 19-	-1 3+ 5+ 7- -2 -4 -4 19-
Curve Equation t Generators 69825t1 [1,1,1,-257888,15042656] 2 [2050:89012:1] 69825t2 [1,1,1,-2358763,-1384140094] 2 [2876:123585:1]
69825u (1 curve)	1	3+ 5+ 7- 19-	-1 3+ 5+ 7-  3 -4  0 19-
Curve Equation t Generators 69825u1 [1,1,1,-184388,64765406] 1 [-2022:239701:27]
69825v (4 curves)	1	3+ 5+ 7- 19-	-1 3+ 5+ 7-  4  2  2 19-
Curve Equation t Generators 69825v1 [1,1,1,27537,7962156] 2 [9646:942755:1] 69825v2 [1,1,1,-468588,115125156] 4 [-750:7112:1] 69825v3 [1,1,1,-1515963,-582426594] 2 [-921:6257:1] 69825v4 [1,1,1,-7359213,7681031406] 2 [1336:14693:1]
69825w (1 curve)	1	3+ 5+ 7- 19-	2 3+ 5+ 7-  1  2 -1 19-
Curve Equation t Generators 69825w1 [0,-1,1,-2858,-63757] 1 [31754503346:100317729241:470910952]
69825x (1 curve)	1	3+ 5+ 7- 19-	2 3+ 5+ 7- -6  2  0 19-
Curve Equation t Generators 69825x1 [0,-1,1,-1388,20873] 1 [314:1269:8]
69825y (1 curve)	1	3+ 5+ 7- 19-	-2 3+ 5+ 7-  0  2 -6 19-
Curve Equation t Generators 69825y1 [0,-1,1,-58,258] 1 [6:9:1]
69825z (1 curve)	1	3+ 5+ 7- 19-	-2 3+ 5+ 7- -5  4 -7 19-
Curve Equation t Generators 69825z1 [0,-1,1,820342,-452798032] 1 [587:15187:1]
69825ba (1 curve)	0	3+ 5- 7+ 19+	0 3+ 5- 7+  2 -2  2 19+
Curve Equation t 69825ba1 [0,-1,1,817,35468] 1
69825bb (1 curve)	0	3+ 5- 7+ 19+	2 3+ 5- 7+  0  2 -6 19+
Curve Equation t 69825bb1 [0,-1,1,-71458,-10216557] 1
69825bc (1 curve)	0	3+ 5- 7+ 19+	-2 3+ 5- 7+ -6  2  0 19+
Curve Equation t 69825bc1 [0,-1,1,-1700708,-874533682] 1
69825bd (2 curves)	1	3+ 5- 7- 19+	0 3+ 5- 7-  0 -2  0 19+
Curve Equation t Generators 69825bd1 [0,-1,1,-12833,-555682] 1 [87234:1215724:343] 69825bd2 [0,-1,1,13417,-2432557] 1 [39081:257041:343]
69825be (1 curve)	1	3+ 5- 7- 19+	-1 3+ 5- 7-  3  0  0 19+
Curve Equation t Generators 69825be1 [1,1,1,-19013,1004156] 1 [76:35:1]
69825bf (1 curve)	0	3+ 5- 7- 19-	0 3+ 5- 7- -2 -2  0 19-
Curve Equation t 69825bf1 [0,-1,1,-138833,-19912432] 1
69825bg (1 curve)	0	3- 5+ 7+ 19+	0 3- 5+ 7+  2  2 -2 19+
Curve Equation t 69825bg1 [0,1,1,20417,4474369] 1
69825bh (1 curve)	0	3- 5+ 7+ 19+	2 3- 5+ 7+ -6 -2  0 19+
Curve Equation t 69825bh1 [0,1,1,-68028,-7023481] 1
69825bi (1 curve)	0	3- 5+ 7+ 19+	-2 3- 5+ 7+  0 -2  6 19+
Curve Equation t 69825bi1 [0,1,1,-2858,-82876] 1
69825bj (1 curve)	2	3- 5+ 7+ 19+	-2 3- 5+ 7+ -5 -4  7 19+
Curve Equation t Generators 69825bj1 [0,1,1,16742,1324894] 1 [128:2362:1]&[-52:562:1]
69825bk (2 curves)	1	3- 5+ 7- 19+	0 3- 5+ 7-  0  2  0 19+
Curve Equation t Generators 69825bk1 [0,1,1,-513,-4651] 1 [69:541:1] 69825bk2 [0,1,1,537,-19246] 1 [1306152:11002283:19683]
69825bl (3 curves)	1	3- 5+ 7- 19+	0 3- 5+ 7-  0 -4  0 19+
Curve Equation t Generators 69825bl1 [0,1,1,59617,-4910356] 1 [268:-5513:1] 69825bl2 [0,1,1,-601883,256878269] 1 [373:-9188:1] 69825bl3 [0,1,1,-54367133,154277212394] 1 [20904084:1145981:4913]
69825bm (1 curve)	1	3- 5+ 7- 19+	0 3- 5+ 7-  2  4 -6 19+
Curve Equation t Generators 69825bm1 [0,1,1,-19785383,96809914394] 1 [501996:66992174:27]
69825bn (2 curves)	1	3- 5+ 7- 19+	0 3- 5+ 7-  3 -4 -3 19+
Curve Equation t Generators 69825bn1 [0,1,1,-87383,20586269] 1 [643:-15188:1] 69825bn2 [0,1,1,-9017633,10419862394] 1 [1798:4687:1]
69825bo (1 curve)	1	3- 5+ 7- 19+	0 3- 5+ 7- -5  4  1 19+
Curve Equation t Generators 69825bo1 [0,1,1,-6922883,-7408105981] 1 [4337419397:625185714998:205379]
69825bp (4 curves)	1	3- 5+ 7- 19+	1 3- 5+ 7-  0 -6  6 19+
Curve Equation t Generators 69825bp1 [1,0,1,243749,-174198727] 2 [57617852857798438420017:2560702071227586115500023:29695645787007730769] 69825bp2 [1,0,1,-3584376,-2409823727] 4 [56758957428653:-4924871417450214:7155584983] 69825bp3 [1,0,1,-12312501,13876857523] 2 [476984875834517599656626:22183965785766566880896833:110488490550296082008] 69825bp4 [1,0,1,-56106251,-161761192477] 2 [-298245357:221294177:68921]
69825bq (1 curve)	1	3- 5+ 7- 19+	1 3- 5+ 7-  3  0  0 19+
Curve Equation t Generators 69825bq1 [1,0,1,-761,8033] 1 [381:139:27]
69825br (2 curves)	1	3- 5+ 7- 19+	1 3- 5+ 7- -6  0 -6 19+
Curve Equation t Generators 69825br1 [1,0,1,23249,69773] 2 [97:1751:1] 69825br2 [1,0,1,-93126,535273] 2 [-163:3456:1]
69825bs (2 curves)	1	3- 5+ 7- 19+	1 3- 5+ 7- -6  6  2 19+
Curve Equation t Generators 69825bs1 [1,0,1,149,473] 2 [33:187:1] 69825bs2 [1,0,1,-726,3973] 2 [1:56:1]
69825bt (1 curve)	2	3- 5+ 7- 19-	0 3- 5+ 7- -3  2 -7 19-
Curve Equation t Generators 69825bt1 [0,1,1,-233,2069] 1 [-17:37:1]&[13:37:1]
69825bu (1 curve)	0	3- 5+ 7- 19-	0 3- 5+ 7-  6  0  2 19-
Curve Equation t 69825bu1 [0,1,1,467,8719] 1
69825bv (2 curves)	0	3- 5+ 7- 19-	1 3- 5+ 7- -2  4  0 19-
Curve Equation t 69825bv1 [1,0,1,-528001,-147701977] 2 69825bv2 [1,0,1,-570876,-122319977] 2
69825bw (6 curves)	0	3- 5+ 7- 19-	1 3- 5+ 7- -4 -2  2 19-
Curve Equation t 69825bw1 [1,0,1,85724,-6045427] 2 69825bw2 [1,0,1,-410401,-52681177] 4 69825bw3 [1,0,1,-3111526,2075805323] 4 69825bw4 [1,0,1,-5647276,-5163871177] 2 69825bw5 [1,0,1,104099,6159649073] 2 69825bw6 [1,0,1,-49545151,134225902073] 2
69825bx (4 curves)	0	3- 5+ 7- 19-	-1 3- 5+ 7-  0  6  2 19-
Curve Equation t 69825bx1 [1,0,0,-1064393338,13365869317667] 2 69825bx2 [1,0,0,-1079099463,12977524674792] 4 69825bx3 [1,0,0,744159912,52369043471667] 2 69825bx4 [1,0,0,-3137656838,-51267992441583] 2
69825by (4 curves)	0	3- 5+ 7- 19-	-1 3- 5+ 7-  0  6 -6 19-
Curve Equation t 69825by1 [1,0,0,-1863,26592] 2 69825by2 [1,0,0,-7988,-249033] 4 69825by3 [1,0,0,10387,-1222908] 2 69825by4 [1,0,0,-124363,-16890658] 2
69825bz (1 curve)	0	3- 5+ 7- 19-	2 3- 5+ 7-  3  0  5 19-
Curve Equation t 69825bz1 [0,1,1,-408,-52531] 1
69825ca (2 curves)	0	3- 5+ 7- 19-	2 3- 5+ 7- -3 -6  3 19-
Curve Equation t 69825ca1 [0,1,1,24092,1651969] 1 69825ca2 [0,1,1,-5378158,4798849969] 1
69825cb (1 curve)	0	3- 5+ 7- 19-	-2 3- 5+ 7- -1  4 -7 19-
Curve Equation t 69825cb1 [0,1,1,-9158,-1756156] 1
69825cc (1 curve)	0	3- 5+ 7- 19-	-2 3- 5+ 7-  4  4  3 19-
Curve Equation t 69825cc1 [0,1,1,10424342,-12933227156] 1
69825cd (2 curves)	0	3- 5- 7+ 19-	0 3- 5- 7+  0  2  0 19-
Curve Equation t 69825cd1 [0,1,1,-628833,191856494] 3 69825cd2 [0,1,1,657417,833052119] 1
69825ce (1 curve)	1	3- 5- 7- 19-	0 3- 5- 7-  2  2 -2 19-
Curve Equation t Generators 69825ce1 [0,1,1,40017,-12245656] 1 [458:10117:1]
69825cf (1 curve)	1	3- 5- 7- 19-	0 3- 5- 7- -2  2  0 19-
Curve Equation t Generators 69825cf1 [0,1,1,-5553,-161521] 1 [93:367:1]
69825cg (1 curve)	1	3- 5- 7- 19-	1 3- 5- 7-  3  4  0 19-
Curve Equation t Generators 69825cg1 [1,0,1,-7376,518123] 1 [-3:736:1]
69825ch (1 curve)	1	3- 5- 7- 19-	-1 3- 5- 7- -2 -1 -2 19-
Curve Equation t Generators 69825ch1 [1,0,0,-129263,17909142] 1 [277:-1976:1]
69825ci (1 curve)	1	3- 5- 7- 19-	-1 3- 5- 7-  5 -4  4 19-
Curve Equation t Generators 69825ci1 [1,0,0,22637,-911758] 1 [347:-7156:1]
69825cj (1 curve)	1	3- 5- 7- 19-	2 3- 5- 7-  0 -2  6 19-
Curve Equation t Generators 69825cj1 [0,1,1,-1458,29369] 1 [186:737:8]
69825ck (1 curve)	1	3- 5- 7- 19-	-2 3- 5- 7- -6 -2  0 19-
Curve Equation t Generators 69825ck1 [0,1,1,-34708,2539744] 1 [-67:-2138:1]

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