Cremona's table of elliptic curves

81144 = 2³ · 3² · 7² · 23

Class	r	Atkin-Lehner	Eigenvalues
81144a (1 curve)	1	2+ 3+ 7+ 23+	2+ 3+  2 7+ -3  2 -7  4
Curve Equation t Generators 81144a1 [0,0,0,9261,-3500658] 1 [181882754586:1367744265243:1211355496]
81144b (1 curve)	0	2+ 3+ 7+ 23-	2+ 3+  3 7+  0 -3 -3  0
Curve Equation t 81144b1 [0,0,0,-104010291,-409404157218] 1
81144c (1 curve)	0	2+ 3+ 7+ 23-	2+ 3+ -3 7+  4 -3  3  0
Curve Equation t 81144c1 [0,0,0,9261,-2463426] 1
81144d (1 curve)	0	2+ 3+ 7- 23+	2+ 3+ -2 7- -3 -2  7 -4
Curve Equation t 81144d1 [0,0,0,189,10206] 1
81144e (1 curve)	0	2+ 3+ 7- 23+	2+ 3+  3 7- -4  3  2  4
Curve Equation t 81144e1 [0,0,0,189,-98] 1
81144f (1 curve)	2	2+ 3+ 7- 23+	2+ 3+ -3 7- -4 -3 -2 -4
Curve Equation t Generators 81144f1 [0,0,0,9261,33614] 1 [22:498:1]&[98:1372:1]
81144g (1 curve)	1	2+ 3+ 7- 23-	2+ 3+  2 7- -5  4  0  7
Curve Equation t Generators 81144g1 [0,0,0,9996,-111132] 1 [154:2254:1]
81144h (1 curve)	1	2+ 3+ 7- 23-	2+ 3+  3 7-  4  3 -3  0
Curve Equation t Generators 81144h1 [0,0,0,189,7182] 1 [183:2484:1]
81144i (1 curve)	1	2+ 3+ 7- 23-	2+ 3+ -3 7-  0  3  3  0
Curve Equation t Generators 81144i1 [0,0,0,-2122659,1193598126] 1 [807:-2484:1]
81144j (1 curve)	1	2+ 3+ 7- 23-	2+ 3+ -3 7- -2  3  6 -6
Curve Equation t Generators 81144j1 [0,0,0,432621,694704654] 1 [246:28566:1]
81144k (1 curve)	0	2+ 3- 7+ 23+	2+ 3-  3 7+  3  6 -2  2
Curve Equation t 81144k1 [0,0,0,-204771,36106238] 1
81144l (2 curves)	1	2+ 3- 7- 23+	2+ 3-  0 7- -4  6 -2  2
Curve Equation t Generators 81144l1 [0,0,0,11445,-80458] 2 [574:13986:1] 81144l2 [0,0,0,-46515,-648466] 2 [16050:364006:27]
81144m (2 curves)	1	2+ 3- 7- 23+	2+ 3-  0 7- -4 -6  2 -2
Curve Equation t Generators 81144m1 [0,0,0,560805,27597094] 2 [325995:17333168:125] 81144m2 [0,0,0,-2279235,222423838] 2 [2419290330:-109322358062:857375]
81144n (1 curve)	1	2+ 3- 7- 23+	2+ 3-  0 7- -5  4  6  1
Curve Equation t Generators 81144n1 [0,0,0,40740,-45560396] 1 [350:3402:1]
81144o (1 curve)	1	2+ 3- 7- 23+	2+ 3-  0 7- -5 -4 -6 -1
Curve Equation t Generators 81144o1 [0,0,0,1996260,15627215828] 1 [-1274:104958:1]
81144p (2 curves)	1	2+ 3- 7- 23+	2+ 3-  2 7- -2 -4 -2  0
Curve Equation t Generators 81144p1 [0,0,0,-1160859,481410790] 2 [33572:262395:64] 81144p2 [0,0,0,-1178499,466025182] 2 [3909780:-20857487:8000]
81144q (4 curves)	1	2+ 3- 7- 23+	2+ 3-  2 7-  4  2 -2  0
Curve Equation t Generators 81144q1 [0,0,0,-91434,-10641575] 2 [-29269216425:-624937900:167284151] 81144q2 [0,0,0,-93639,-10101350] 4 [52850:12149550:1] 81144q3 [0,0,0,109221,-47873882] 2 [233303660950:-1211180342049:857375000] 81144q4 [0,0,0,-331779,62245582] 2 [-649:2052:1]
81144r (1 curve)	1	2+ 3- 7- 23+	2+ 3- -3 7-  3 -6  2 -2
Curve Equation t Generators 81144r1 [0,0,0,-4179,-105266] 1 [86:414:1]
81144s (1 curve)	1	2+ 3- 7- 23+	2+ 3- -4 7- -2 -5  0  4
Curve Equation t Generators 81144s1 [0,0,0,23373,-46305] 1 [7:343:1]
81144t (1 curve)	1	2+ 3- 7- 23+	2+ 3- -4 7-  4  5 -2 -6
Curve Equation t Generators 81144t1 [0,0,0,-147,8575] 1 [-21:49:1]
81144u (4 curves)	0	2+ 3- 7- 23-	2+ 3-  2 7-  0 -6 -6  0
Curve Equation t 81144u1 [0,0,0,118041,-11495302] 2 81144u2 [0,0,0,-596379,-102512410] 4 81144u3 [0,0,0,-4247859,3297015470] 2 81144u4 [0,0,0,-8375619,-9327135202] 2
81144v (1 curve)	0	2+ 3- 7- 23-	2+ 3-  2 7- -2  1  0 -2
Curve Equation t 81144v1 [0,0,0,-3712779,2793738087] 1
81144w (4 curves)	0	2+ 3- 7- 23-	2+ 3- -2 7-  0  2 -2  4
Curve Equation t 81144w1 [0,0,0,-1911,309386] 2 81144w2 [0,0,0,-81291,8866550] 4 81144w3 [0,0,0,-134211,-4098850] 2 81144w4 [0,0,0,-1298451,569490446] 2
81144x (1 curve)	0	2+ 3- 7- 23-	2+ 3-  4 7- -3  2  4  7
Curve Equation t 81144x1 [0,0,0,-88788,-10241980] 1
81144y (1 curve)	0	2- 3+ 7+ 23+	2- 3+  3 7+ -4 -3 -3  0
Curve Equation t 81144y1 [0,0,0,1029,91238] 1
81144z (1 curve)	0	2- 3+ 7+ 23+	2- 3+ -3 7+  0 -3  3  0
Curve Equation t 81144z1 [0,0,0,-11556699,15163116934] 1
81144ba (1 curve)	1	2- 3+ 7+ 23-	2- 3+ -2 7+  3  2  7  4
Curve Equation t Generators 81144ba1 [0,0,0,1029,129654] 1 [690:7419:8]
81144bb (1 curve)	1	2- 3+ 7- 23+	2- 3+ -2 7-  5  4  0  7
Curve Equation t Generators 81144bb1 [0,0,0,89964,3000564] 1 [1890:48951:8]
81144bc (1 curve)	1	2- 3+ 7- 23+	2- 3+  3 7-  0  3 -3  0
Curve Equation t Generators 81144bc1 [0,0,0,-235851,-44207338] 1 [3843712226905:55651504580148:5783534875]
81144bd (1 curve)	1	2- 3+ 7- 23+	2- 3+  3 7-  2  3 -6 -6
Curve Equation t Generators 81144bd1 [0,0,0,48069,-25729802] 1 [124638866:6201866376:50653]
81144be (1 curve)	1	2- 3+ 7- 23+	2- 3+ -3 7- -4  3  3  0
Curve Equation t Generators 81144be1 [0,0,0,21,-266] 1 [11:36:1]
81144bf (1 curve)	0	2- 3+ 7- 23-	2- 3+  2 7-  3 -2 -7 -4
Curve Equation t 81144bf1 [0,0,0,21,-378] 1
81144bg (1 curve)	0	2- 3+ 7- 23-	2- 3+  3 7-  4 -3  2 -4
Curve Equation t 81144bg1 [0,0,0,83349,-907578] 1
81144bh (1 curve)	0	2- 3+ 7- 23-	2- 3+ -3 7-  4  3 -2  4
Curve Equation t 81144bh1 [0,0,0,1701,2646] 1
81144bi (2 curves)	0	2- 3- 7- 23+	2- 3-  0 7-  0  0 -6 -6
Curve Equation t 81144bi1 [0,0,0,1848525,142792958] 2 81144bi2 [0,0,0,-7483035,1148735126] 2
81144bj (2 curves)	0	2- 3- 7- 23+	2- 3-  0 7-  0 -2  8 -6
Curve Equation t 81144bj1 [0,0,0,-1282575,564055954] 2 81144bj2 [0,0,0,-20571915,35913700438] 2
81144bk (1 curve)	0	2- 3- 7- 23+	2- 3-  0 7-  0  5 -6 -6
Curve Equation t 81144bk1 [0,0,0,-24255,-1453977] 1
81144bl (1 curve)	0	2- 3- 7- 23+	2- 3-  0 7- -1  6  0 -7
Curve Equation t 81144bl1 [0,0,0,2940,4229876] 1
81144bm (2 curves)	0	2- 3- 7- 23+	2- 3-  0 7-  2  6 -6  6
Curve Equation t 81144bm1 [0,0,0,-691635,-413251202] 2 81144bm2 [0,0,0,-13551195,-19190780714] 2
81144bn (2 curves)	2	2- 3- 7- 23+	2- 3-  0 7- -4 -6  0  0
Curve Equation t Generators 81144bn1 [0,0,0,-12495,690802] 2 [-87:1058:1]&[-7:882:1] 81144bn2 [0,0,0,-215355,38463334] 2 [203:1764:1]&[795:19228:1]
81144bo (1 curve)	0	2- 3- 7- 23+	2- 3-  0 7-  6 -1  0  0
Curve Equation t 81144bo1 [0,0,0,10771425,-344654606961] 1
81144bp (1 curve)	0	2- 3- 7- 23+	2- 3-  0 7-  6  3  0  0
Curve Equation t 81144bp1 [0,0,0,-12495,540911] 1
81144bq (2 curves)	0	2- 3- 7- 23+	2- 3-  0 7- -6  2  6  6
Curve Equation t 81144bq1 [0,0,0,2205,55566] 2 81144bq2 [0,0,0,-15435,574182] 2
81144br (2 curves)	0	2- 3- 7- 23+	2- 3-  2 7- -2 -2 -2  4
Curve Equation t 81144br1 [0,0,0,-4179,103390] 2 81144br2 [0,0,0,-1659,226870] 2
81144bs (2 curves)	0	2- 3- 7- 23+	2- 3-  2 7- -4 -4  4 -6
Curve Equation t 81144bs1 [0,0,0,56301,-5876962] 2 81144bs2 [0,0,0,-349419,-57565690] 2
81144bt (2 curves)	0	2- 3- 7- 23+	2- 3- -2 7- -2  2  2 -4
Curve Equation t 81144bt1 [0,0,0,-204771,-35462770] 2 81144bt2 [0,0,0,-81291,-77816410] 2
81144bu (1 curve)	0	2- 3- 7- 23+	2- 3- -3 7-  0  1 -4  0
Curve Equation t 81144bu1 [0,0,0,-173019,-39329066] 1
81144bv (2 curves)	0	2- 3- 7- 23+	2- 3-  4 7-  0 -2 -4  6
Curve Equation t 81144bv1 [0,0,0,1617,-99470] 2 81144bv2 [0,0,0,-24843,-1396010] 2
81144bw (1 curve)	1	2- 3- 7- 23-	2- 3-  1 7- -2  3  0  2
Curve Equation t Generators 81144bw1 [0,0,0,-48027,4051222] 1 [126:14:1]
81144bx (1 curve)	1	2- 3- 7- 23-	2- 3- -1 7- -2 -3  0 -2
Curve Equation t Generators 81144bx1 [0,0,0,-2353323,-1389569146] 1 [191962:84102516:1]
81144by (2 curves)	1	2- 3- 7- 23-	2- 3-  2 7-  0  4 -4  2
Curve Equation t Generators 81144by1 [0,0,0,-26019,1833678] 2 [-126:1764:1] 81144by2 [0,0,0,-431739,109187190] 2 [1162:34300:1]
81144bz (2 curves)	1	2- 3- 7- 23-	2- 3-  2 7-  4  0 -6 -8
Curve Equation t Generators 81144bz1 [0,0,0,-399,2450] 2 [-7:70:1] 81144bz2 [0,0,0,861,14798] 2 [11:160:1]
81144ca (2 curves)	1	2- 3- 7- 23-	2- 3- -2 7-  2  2 -4  0
Curve Equation t Generators 81144ca1 [0,0,0,-28371,-2606114] 2 [109715:36341136:1] 81144ca2 [0,0,0,-504651,-137964890] 2 [241045766:79840841634:2197]
81144cb (1 curve)	1	2- 3- 7- 23-	2- 3- -2 7-  2 -7 -4  6
Curve Equation t Generators 81144cb1 [0,0,0,-1911,33271] 1 [21:-49:1]
81144cc (2 curves)	1	2- 3- 7- 23-	2- 3- -2 7-  4  0  6  8
Curve Equation t Generators 81144cc1 [0,0,0,-19551,-840350] 2 [401:7470:1] 81144cc2 [0,0,0,42189,-5075714] 2 [46695:990688:125]
81144cd (1 curve)	1	2- 3- 7- 23-	2- 3-  4 7-  1  0  6 -1
Curve Equation t Generators 81144cd1 [0,0,0,-29812188,90108041380] 1 [-709684640:709085783070:2248091]
81144ce (2 curves)	1	2- 3- 7- 23-	2- 3-  4 7- -4  2 -4  0
Curve Equation t Generators 81144ce1 [0,0,0,36897,-1334270] 2 [485:11430:1] 81144ce2 [0,0,0,-165963,-11274410] 2 [71895:1142492:125]
81144cf (1 curve)	1	2- 3- 7- 23-	2- 3- -4 7-  1  0 -6  1
Curve Equation t Generators 81144cf1 [0,0,0,-608412,-262705660] 1 [3304:183834:1]

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