Cremona's table of elliptic curves

53361 = 3² · 7² · 11²

Class	r	Atkin-Lehner	Eigenvalues
53361a (2 curves)	0	3+ 7+ 11-	0 3+  0 7+ 11-  5  0 -7
Curve Equation t 53361a1 [0,0,1,0,8788260] 3 53361a2 [0,0,1,0,-237283027] 1
53361b (2 curves)	0	3+ 7+ 11-	0 3+  0 7+ 11- -5  0  7
Curve Equation t 53361b1 [0,0,1,0,-6603] 1 53361b2 [0,0,1,0,178274] 1
53361c (2 curves)	0	3+ 7+ 11-	0 3+  0 7+ 11-  7  0  7
Curve Equation t 53361c1 [0,0,1,0,-16305] 1 53361c2 [0,0,1,0,440228] 1
53361d (1 curve)	0	3+ 7+ 11-	0 3+  4 7+ 11- -5 -4  3
Curve Equation t 53361d1 [0,0,1,-249018,107855921] 1
53361e (1 curve)	0	3+ 7+ 11-	0 3+ -4 7+ 11- -5  4  3
Curve Equation t 53361e1 [0,0,1,-2241162,-2912109874] 1
53361f (2 curves)	1	3+ 7- 11-	0 3+  0 7- 11-  2  0 -7
Curve Equation t Generators 53361f1 [0,0,1,0,13810123] 1 [4453:297175:1] 53361f2 [0,0,1,0,-372873328] 1 [393443515481010:26207562064657432:88299467677]
53361g (2 curves)	1	3+ 7- 11-	0 3+  0 7- 11- -2  0  7
Curve Equation t Generators 53361g1 [0,0,1,0,-10376] 1 [22:16:1] 53361g2 [0,0,1,0,280145] 1 [-510:1157:8]
53361h (2 curves)	1	3+ 7- 11-	0 3+  0 7- 11-  5  0 -7
Curve Equation t Generators 53361h1 [0,0,1,0,19] 1 [1:4:1] 53361h2 [0,0,1,0,-520] 1 [78:688:1]
53361i (2 curves)	1	3+ 7- 11-	0 3+  0 7- 11- -5  0  7
Curve Equation t Generators 53361i1 [0,0,1,0,-25622] 1 [242:359:8] 53361i2 [0,0,1,0,691787] 1 [-654:3047:8]
53361j (2 curves)	1	3+ 7- 11-	0 3+  0 7- 11- -7  0 -7
Curve Equation t Generators 53361j1 [0,0,1,0,5592529] 1 [-143:1633:1] 53361j2 [0,0,1,0,-150998290] 1 [2089230:58496170:2197]
53361k (1 curve)	1	3+ 7- 11-	0 3+  4 7- 11-  5 -4 -3
Curve Equation t Generators 53361k1 [0,0,1,-45738,8490116] 1 [-26730:364208:125]
53361l (1 curve)	1	3+ 7- 11-	0 3+ -4 7- 11-  5  4 -3
Curve Equation t Generators 53361l1 [0,0,1,-5082,-314449] 1 [1122:10523:8]
53361m (2 curves)	1	3+ 7- 11-	1 3+  4 7- 11- -2  2 -6
Curve Equation t Generators 53361m1 [1,-1,0,-10005,-68832] 2 [-1253140:19703914:42875] 53361m2 [1,-1,0,-98940,11937393] 2 [-8920:543999:125]
53361n (2 curves)	1	3+ 7- 11-	-1 3+ -4 7- 11- -2 -2 -6
Curve Equation t Generators 53361n1 [1,-1,1,-90047,1948510] 2 [-250:3089:1] 53361n2 [1,-1,1,-890462,-321419150] 2 [-547:1604:1]
53361o (1 curve)	1	3+ 7- 11-	2 3+  1 7- 11- -4  1  0
Curve Equation t Generators 53361o1 [0,0,1,-195657,23853849] 1 [-3388:373495:64]
53361p (1 curve)	1	3+ 7- 11-	2 3+ -1 7- 11-  4  1  0
Curve Equation t Generators 53361p1 [0,0,1,-14553,483887] 1 [18312:48695:512]
53361q (1 curve)	1	3+ 7- 11-	-2 3+  1 7- 11-  4 -1  0
Curve Equation t Generators 53361q1 [0,0,1,-1617,-17922] 1 [-28:73:1]
53361r (1 curve)	1	3+ 7- 11-	-2 3+ -1 7- 11- -4 -1  0
Curve Equation t Generators 53361r1 [0,0,1,-1760913,-644053930] 1 [-420:4630:1]
53361s (1 curve)	1	3- 7+ 11-	1 3-  0 7+ 11- -4  3 -1
Curve Equation t Generators 53361s1 [1,-1,0,-27792,-1841603] 1 [10916:1134869:1]
53361t (1 curve)	1	3- 7+ 11-	-1 3- -4 7+ 11-  0 -7  5
Curve Equation t Generators 53361t1 [1,-1,1,1066108,-485118840] 1 [524:14475:1]
53361u (2 curves)	1	3- 7+ 11-	2 3-  2 7+ 11- -1  0 -1
Curve Equation t Generators 53361u1 [0,0,1,-124509,18375453] 1 [40964:907105:64] 53361u2 [0,0,1,-48683019,-130846808997] 1 [69211427082578549241908801212:2758446457007837769572602886735:7860375619229852220681152]
53361v (1 curve)	1	3- 7+ 11-	2 3-  2 7+ 11-  3  2 -1
Curve Equation t Generators 53361v1 [0,0,1,-15065589,-22524311021] 1 [3638055422058995140666708219493489948936612210484867914360326:581694869896058982250519780686726040921816282613566029811542349:138995870062396974443509021055177712736035717258788038744]
53361w (1 curve)	1	3- 7+ 11-	-2 3-  0 7+ 11-  5  6 -7
Curve Equation t Generators 53361w1 [0,0,1,622545,686283232] 1 [2200:112711:1]
53361x (1 curve)	1	3- 7+ 11-	-2 3-  2 7+ 11- -3 -2  1
Curve Equation t Generators 53361x1 [0,0,1,-124509,16922848] 1 [196:-221:1]
53361y (2 curves)	1	3- 7- 11+	0 3- -3 7- 11+  0  0  0
Curve Equation t Generators 53361y1 [0,0,1,-3234,72630] 1 [0:269:1] 53361y2 [0,0,1,-391314,-96670863] 1 [107842581:3436316747:79507]
53361z (1 curve)	0	3- 7- 11-	0 3- -1 7- 11- -4 -2 -6
Curve Equation t 53361z1 [0,0,1,106722,-3081598] 1
53361ba (3 curves)	0	3- 7- 11-	0 3-  3 7- 11- -4  6  2
Curve Equation t 53361ba1 [0,0,1,-4766916,-4005962942] 1 53361ba2 [0,0,1,-2632476,-7601160317] 1 53361ba3 [0,0,1,23514414,196749858478] 1
53361bb (2 curves)	0	3- 7- 11-	0 3- -3 7- 11-  4 -3 -2
Curve Equation t 53361bb1 [0,0,1,-391314,28875712] 1 53361bb2 [0,0,1,-18000444,-29394219605] 1
53361bc (2 curves)	2	3- 7- 11-	0 3- -3 7- 11- -4  3  2
Curve Equation t Generators 53361bc1 [0,0,1,-3234,-21695] 1 [91:661:1]&[-334:1607:8] 53361bc2 [0,0,1,-148764,22084312] 1 [-406:3944:1]&[1106:16313:8]
53361bd (4 curves)	0	3- 7- 11-	1 3-  0 7- 11-  0  0  0
Curve Equation t 53361bd1 [1,-1,0,-2382,-54433] 2 53361bd2 [1,-1,0,-40497,-3126502] 2 53361bd3 [1,-1,0,-116727,18903968] 2 53361bd4 [1,-1,0,-1984362,1076358905] 2
53361be (1 curve)	0	3- 7- 11-	1 3-  0 7- 11-  4 -3  1
Curve Equation t 53361be1 [1,-1,0,-1361817,634393458] 1
53361bf (2 curves)	0	3- 7- 11-	1 3-  0 7- 11-  4  4  8
Curve Equation t 53361bf1 [1,-1,0,35990883,-68431495896] 2 53361bf2 [1,-1,0,-189992952,-622589056083] 2
53361bg (2 curves)	0	3- 7- 11-	1 3-  0 7- 11- -4 -4 -8
Curve Equation t 53361bg1 [1,-1,0,734508,199298875] 2 53361bg2 [1,-1,0,-3877407,1816236274] 2
53361bh (2 curves)	0	3- 7- 11-	1 3-  1 7- 11-  1  5  6
Curve Equation t 53361bh1 [1,-1,0,-13239,-583038] 1 53361bh2 [1,-1,0,-134514,74263041] 1
53361bi (1 curve)	0	3- 7- 11-	1 3-  1 7- 11- -5 -7  6
Curve Equation t 53361bi1 [1,-1,0,-1420029,653254146] 1
53361bj (4 curves)	0	3- 7- 11-	1 3- -2 7- 11- -2  2  0
Curve Equation t 53361bj1 [1,-1,0,-347958,78425199] 2 53361bj2 [1,-1,0,-614763,-58125600] 4 53361bj3 [1,-1,0,2320092,-454331025] 2 53361bj4 [1,-1,0,-7818498,-8404372971] 2
53361bk (2 curves)	0	3- 7- 11-	1 3- -2 7- 11-  4 -4  0
Curve Equation t 53361bk1 [1,-1,0,185652,-116876061] 2 53361bk2 [1,-1,0,-2749203,-1618934850] 2
53361bl (1 curve)	0	3- 7- 11-	1 3- -3 7- 11-  7 -3 -2
Curve Equation t 53361bl1 [1,-1,0,1314,100953] 1
53361bm (2 curves)	2	3- 7- 11-	-1 3-  1 7- 11- -1 -5 -6
Curve Equation t Generators 53361bm1 [1,-1,1,-1112,-55492] 1 [48:-20:1]&[58:240:1] 53361bm2 [1,-1,1,-1601942,780829382] 1 [-960:38338:1]&[3390:105023:8]
53361bn (1 curve)	0	3- 7- 11-	-1 3-  1 7- 11-  5  7 -6
Curve Equation t 53361bn1 [1,-1,1,-171823532,-868965797752] 1
53361bo (6 curves)	0	3- 7- 11-	-1 3- -2 7- 11- -2  6  4
Curve Equation t 53361bo1 [1,-1,1,52249,999870] 2 53361bo2 [1,-1,1,-214556,8256966] 4 53361bo3 [1,-1,1,-2082191,-1148929680] 2 53361bo4 [1,-1,1,-2615801,1626696096] 4 53361bo5 [1,-1,1,-1815386,2640341652] 2 53361bo6 [1,-1,1,-41836136,104164339920] 2
53361bp (6 curves)	0	3- 7- 11-	-1 3- -2 7- 11-  6 -2  4
Curve Equation t 53361bp1 [1,-1,1,-1815386,-940703200] 2 53361bp2 [1,-1,1,-2082191,-645830314] 4 53361bp3 [1,-1,1,6722374,-4681842910] 2 53361bp4 [1,-1,1,-15155636,22258845326] 4 53361bp5 [1,-1,1,1653079,68913114680] 2 53361bp6 [1,-1,1,-241139471,1441346935592] 2
53361bq (1 curve)	0	3- 7- 11-	-1 3- -3 7- 11- -7  3  2
Curve Equation t 53361bq1 [1,-1,1,158971,-134845378] 1
53361br (1 curve)	0	3- 7- 11-	-1 3-  4 7- 11-  0  7 -5
Curve Equation t 53361br1 [1,-1,1,21757,1408124] 1
53361bs (1 curve)	0	3- 7- 11-	2 3-  1 7- 11- -6  7 -8
Curve Equation t 53361bs1 [0,0,1,-308847,-65837907] 1
53361bt (2 curves)	0	3- 7- 11-	2 3- -2 7- 11-  1  0  1
Curve Equation t 53361bt1 [0,0,1,-2541,-53573] 1 53361bt2 [0,0,1,-993531,381477577] 1
53361bu (1 curve)	0	3- 7- 11-	2 3- -2 7- 11- -3 -2  1
Curve Equation t 53361bu1 [0,0,1,-307461,65668545] 1
53361bv (1 curve)	0	3- 7- 11-	2 3-  3 7- 11- -4 -1 -2
Curve Equation t 53361bv1 [0,0,1,-2541,19269] 1
53361bw (1 curve)	0	3- 7- 11-	2 3- -3 7- 11-  2 -3 -4
Curve Equation t 53361bw1 [0,0,1,-658119,187209657] 1
53361bx (1 curve)	0	3- 7- 11-	2 3- -3 7- 11-  4  1  2
Curve Equation t 53361bx1 [0,0,1,-124509,-6609353] 1
53361by (1 curve)	0	3- 7- 11-	2 3-  4 7- 11-  2  4  3
Curve Equation t 53361by1 [0,0,1,195657,-6277329] 1
53361bz (1 curve)	0	3- 7- 11-	-2 3-  0 7- 11- -5 -6  7
Curve Equation t 53361bz1 [0,0,1,12705,-2000826] 1
53361ca (3 curves)	0	3- 7- 11-	-2 3-  1 7- 11-  4  2  0
Curve Equation t 53361ca1 [0,0,1,-17787,-2168532] 1 53361ca2 [0,0,1,-551397,285447258] 1 53361ca3 [0,0,1,-417300807,3281118763788] 1
53361cb (1 curve)	0	3- 7- 11-	-2 3-  1 7- 11-  6 -7  8
Curve Equation t 53361cb1 [0,0,1,-37370487,87630253884] 1
53361cc (1 curve)	0	3- 7- 11-	-2 3- -2 7- 11-  3  2 -1
Curve Equation t 53361cc1 [0,0,1,-2541,-49338] 1
53361cd (1 curve)	0	3- 7- 11-	-2 3-  3 7- 11-  4  1  2
Curve Equation t 53361cd1 [0,0,1,-307461,-25647372] 1
53361ce (1 curve)	0	3- 7- 11-	-2 3- -3 7- 11- -2  3  4
Curve Equation t 53361ce1 [0,0,1,-79632399,-249176053800] 1
53361cf (1 curve)	0	3- 7- 11-	-2 3- -3 7- 11- -4 -1 -2
Curve Equation t 53361cf1 [0,0,1,-15065589,8797048510] 1
53361cg (1 curve)	0	3- 7- 11-	-2 3-  4 7- 11- -2 -4 -3
Curve Equation t 53361cg1 [0,0,1,1617,4716] 1

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