Cremona's table of elliptic curves

48672 = 2⁵ · 3² · 13²

Class	r	Atkin-Lehner	Eigenvalues
48672a (2 curves)	1	2+ 3+ 13+	2+ 3+  2  0  2 13+  0 -4
Curve Equation t Generators 48672a1 [0,0,0,-13689,1660932] 2 [6916:76895:64] 48672a2 [0,0,0,-310284,66437280] 2 [520:6760:1]
48672b (1 curve)	1	2+ 3+ 13+	2+ 3+  2  3 -4 13+ -6  4
Curve Equation t Generators 48672b1 [0,0,0,-158184,24219728] 1 [169:1521:1]
48672c (1 curve)	1	2+ 3+ 13+	2+ 3+  2 -3 -4 13+  6 -4
Curve Equation t Generators 48672c1 [0,0,0,-8424,-297648] 1 [2658:46359:8]
48672d (2 curves)	1	2+ 3+ 13+	2+ 3+ -2  0  2 13+  0  4
Curve Equation t Generators 48672d1 [0,0,0,-1521,61516] 2 [104:1014:1] 48672d2 [0,0,0,-34476,2460640] 2 [-52:2028:1]
48672e (1 curve)	1	2+ 3+ 13+	2+ 3+ -2  3 -4 13+ -6  4
Curve Equation t Generators 48672e1 [0,0,0,-936,-11024] 1 [36:44:1]
48672f (1 curve)	1	2+ 3+ 13+	2+ 3+ -2 -3 -4 13+  6 -4
Curve Equation t Generators 48672f1 [0,0,0,-1423656,653932656] 1 [676:-676:1]
48672g (2 curves)	1	2+ 3+ 13+	2+ 3+ -4  0  0 13+  8  0
Curve Equation t Generators 48672g1 [0,0,0,4563,0] 2 [27:378:1] 48672g2 [0,0,0,-18252,0] 2 [-26:676:1]
48672h (2 curves)	0	2+ 3+ 13-	2+ 3+ -2  0  0 13-  8  0
Curve Equation t 48672h1 [0,0,0,59319,0] 2 48672h2 [0,0,0,-237276,0] 2
48672i (2 curves)	2	2+ 3+ 13-	2+ 3+ -2  0  0 13- -8  0
Curve Equation t Generators 48672i1 [0,0,0,39,0] 2 [3:12:1]&[27:144:1] 48672i2 [0,0,0,-156,0] 2 [-12:12:1]&[-3:21:1]
48672j (1 curve)	2	2+ 3- 13+	2+ 3-  0  1 -6 13+ -2 -4
Curve Equation t Generators 48672j1 [0,0,0,-20280,1132976] 1 [-143:1053:1]&[100:324:1]
48672k (1 curve)	0	2+ 3- 13+	2+ 3-  0 -1  6 13+ -2  4
Curve Equation t 48672k1 [0,0,0,-20280,-1132976] 1
48672l (2 curves)	0	2+ 3- 13+	2+ 3-  0  2 -4 13+  6  6
Curve Equation t 48672l1 [0,0,0,-149565,-9772256] 2 48672l2 [0,0,0,-1997580,-1086056192] 2
48672m (2 curves)	0	2+ 3- 13+	2+ 3-  0 -2  4 13+  6 -6
Curve Equation t 48672m1 [0,0,0,-149565,9772256] 2 48672m2 [0,0,0,-1997580,1086056192] 2
48672n (1 curve)	0	2+ 3- 13+	2+ 3-  1  0 -4 13+ -3 -2
Curve Equation t 48672n1 [0,0,0,-342732,-83169632] 1
48672o (1 curve)	0	2+ 3- 13+	2+ 3-  1 -3  2 13+  3 -2
Curve Equation t 48672o1 [0,0,0,-507,232882] 1
48672p (1 curve)	2	2+ 3- 13+	2+ 3- -1  0 -4 13+ -3 -2
Curve Equation t Generators 48672p1 [0,0,0,-2028,37856] 1 [130:1404:1]&[-22:268:1]
48672q (2 curves)	0	2+ 3- 13+	2+ 3-  2 -2 -2 13+ -6 -2
Curve Equation t 48672q1 [0,0,0,-4414449,3568903468] 2 48672q2 [0,0,0,-3798444,4600342240] 2
48672r (4 curves)	0	2+ 3- 13+	2+ 3-  2  4  4 13+  6  4
Curve Equation t 48672r1 [0,0,0,-3549,-43940] 4 48672r2 [0,0,0,11661,-320762] 2 48672r3 [0,0,0,-26364,1616992] 2 48672r4 [0,0,0,-49179,-4196270] 2
48672s (4 curves)	0	2+ 3- 13+	2+ 3- -2  0 -4 13+  6 -8
Curve Equation t 48672s1 [0,0,0,-356421,-81508700] 4 48672s2 [0,0,0,-158691,-171475850] 2 48672s3 [0,0,0,-561756,23130016] 2 48672s4 [0,0,0,-5695131,-5231228366] 2
48672t (2 curves)	0	2+ 3- 13+	2+ 3- -2  2  6 13+  2 -6
Curve Equation t 48672t1 [0,0,0,-21801,993044] 2 48672t2 [0,0,0,46644,5975840] 2
48672u (1 curve)	0	2+ 3- 13+	2+ 3-  3  2  2 13+  3  6
Curve Equation t 48672u1 [0,0,0,-156,3328] 1
48672v (1 curve)	0	2+ 3- 13+	2+ 3-  3 -2 -2 13+  3 -6
Curve Equation t 48672v1 [0,0,0,-156,-3328] 1
48672w (1 curve)	0	2+ 3- 13+	2+ 3-  4 -3  2 13+ -6  4
Curve Equation t 48672w1 [0,0,0,312,5200] 1
48672x (1 curve)	2	2+ 3- 13+	2+ 3- -4 -3  2 13+ -6  4
Curve Equation t Generators 48672x1 [0,0,0,52728,-11424400] 1 [676:18252:1]&[932:29108:1]
48672y (1 curve)	1	2+ 3- 13-	2+ 3-  3  1  4 13- -5 -6
Curve Equation t Generators 48672y1 [0,0,0,-138411,-20049822] 1 [104087350273594877980622:4765040348837498252768492:48099912165860579081]
48672z (1 curve)	1	2+ 3- 13-	2+ 3- -3  1  4 13- -5 -6
Curve Equation t Generators 48672z1 [0,0,0,-819,9126] 1 [13:-26:1]
48672ba (2 curves)	1	2+ 3- 13-	2+ 3-  4  0  0 13- -2  0
Curve Equation t Generators 48672ba1 [0,0,0,-19773,0] 2 [300:4590:1] 48672ba2 [0,0,0,79092,0] 2 [234090:5598423:1000]
48672bb (2 curves)	0	2- 3+ 13+	2- 3+  2  0 -2 13+  0  4
Curve Equation t 48672bb1 [0,0,0,-13689,-1660932] 2 48672bb2 [0,0,0,-310284,-66437280] 2
48672bc (1 curve)	0	2- 3+ 13+	2- 3+  2  3  4 13+  6  4
Curve Equation t 48672bc1 [0,0,0,-8424,297648] 1
48672bd (1 curve)	0	2- 3+ 13+	2- 3+  2 -3  4 13+ -6 -4
Curve Equation t 48672bd1 [0,0,0,-158184,-24219728] 1
48672be (2 curves)	2	2- 3+ 13+	2- 3+ -2  0 -2 13+  0 -4
Curve Equation t Generators 48672be1 [0,0,0,-1521,-61516] 2 [65:338:1]&[79:558:1] 48672be2 [0,0,0,-34476,-2460640] 2 [-107:57:1]&[221:845:1]
48672bf (1 curve)	0	2- 3+ 13+	2- 3+ -2  3  4 13+  6  4
Curve Equation t 48672bf1 [0,0,0,-1423656,-653932656] 1
48672bg (1 curve)	2	2- 3+ 13+	2- 3+ -2 -3  4 13+ -6 -4
Curve Equation t Generators 48672bg1 [0,0,0,-936,11024] 1 [-16:148:1]&[16:12:1]
48672bh (2 curves)	0	2- 3+ 13+	2- 3+  4  0  0 13+ -8  0
Curve Equation t 48672bh1 [0,0,0,507,0] 2 48672bh2 [0,0,0,-2028,0] 2
48672bi (2 curves)	1	2- 3+ 13-	2- 3+  2  0  0 13-  8  0
Curve Equation t Generators 48672bi1 [0,0,0,351,0] 2 [50:395:8] 48672bi2 [0,0,0,-1404,0] 2 [-27:135:1]
48672bj (2 curves)	1	2- 3+ 13-	2- 3+  2  0  0 13- -8  0
Curve Equation t Generators 48672bj1 [0,0,0,6591,0] 2 [7350:110915:216] 48672bj2 [0,0,0,-26364,0] 2 [-108:1260:1]
48672bk (1 curve)	1	2- 3- 13+	2- 3-  0  1 -6 13+ -2 -4
Curve Equation t Generators 48672bk1 [0,0,0,-3427320,-2489148272] 1 [70688631412656:5777020686018668:9814089221]
48672bl (1 curve)	1	2- 3- 13+	2- 3-  0 -1  6 13+ -2  4
Curve Equation t Generators 48672bl1 [0,0,0,-3427320,2489148272] 1 [1057:6885:1]
48672bm (2 curves)	1	2- 3- 13+	2- 3-  0  2  0 13+ -2 -2
Curve Equation t Generators 48672bm1 [0,0,0,-27885,-1775176] 2 [221:1690:1] 48672bm2 [0,0,0,-50700,1546688] 2 [3133:174915:1]
48672bn (2 curves)	1	2- 3- 13+	2- 3-  0 -2  0 13+ -2  2
Curve Equation t Generators 48672bn1 [0,0,0,-27885,1775176] 2 [117:338:1] 48672bn2 [0,0,0,-50700,-1546688] 2 [-91:1521:1]
48672bo (1 curve)	1	2- 3- 13+	2- 3-  1  0  4 13+ -3  2
Curve Equation t Generators 48672bo1 [0,0,0,-342732,83169632] 1 [-659:4779:1]
48672bp (1 curve)	1	2- 3- 13+	2- 3-  1  3 -2 13+  3  2
Curve Equation t Generators 48672bp1 [0,0,0,-507,-232882] 1 [84357:817622:729]
48672bq (1 curve)	1	2- 3- 13+	2- 3- -1  0  4 13+ -3  2
Curve Equation t Generators 48672bq1 [0,0,0,-2028,-37856] 1 [104:936:1]
48672br (2 curves)	1	2- 3- 13+	2- 3-  2  2  2 13+ -6  2
Curve Equation t Generators 48672br1 [0,0,0,-4414449,-3568903468] 2 [-2970240075929:-2192478764958:2465846551] 48672br2 [0,0,0,-3798444,-4600342240] 2 [386343897219197124201988:43859225585340816120041580:29264553539426362591]
48672bs (4 curves)	1	2- 3- 13+	2- 3-  2 -4 -4 13+  6 -4
Curve Equation t Generators 48672bs1 [0,0,0,-3549,43940] 4 [160:1890:1] 48672bs2 [0,0,0,11661,320762] 2 [47782:739530:343] 48672bs3 [0,0,0,-26364,-1616992] 2 [-91:169:1] 48672bs4 [0,0,0,-49179,4196270] 2 [133:90:1]
48672bt (4 curves)	1	2- 3- 13+	2- 3- -2  0  0 13+ -2  0
Curve Equation t Generators 48672bt1 [0,0,0,-1521,0] 4 [-36:90:1] 48672bt2 [0,0,0,6084,0] 2 [52:676:1] 48672bt3 [0,0,0,-16731,-830466] 2 [7826:242515:8] 48672bt4 [0,0,0,-16731,830466] 2 [978:30330:1]
48672bu (4 curves)	1	2- 3- 13+	2- 3- -2  0  4 13+  6  8
Curve Equation t Generators 48672bu1 [0,0,0,-356421,81508700] 4 [580712:4005126:1331] 48672bu2 [0,0,0,-158691,171475850] 2 [12905199606:-389729450825:14886936] 48672bu3 [0,0,0,-561756,-23130016] 2 [3484:200772:1] 48672bu4 [0,0,0,-5695131,5231228366] 2 [1741:24354:1]
48672bv (2 curves)	1	2- 3- 13+	2- 3- -2 -2 -6 13+  2  6
Curve Equation t Generators 48672bv1 [0,0,0,-21801,-993044] 2 [-79:486:1] 48672bv2 [0,0,0,46644,-5975840] 2 [428:9612:1]
48672bw (1 curve)	1	2- 3- 13+	2- 3- -3  2  2 13+  3  6
Curve Equation t Generators 48672bw1 [0,0,0,-26364,-7311616] 1 [338:4732:1]
48672bx (1 curve)	1	2- 3- 13+	2- 3- -3 -2 -2 13+  3 -6
Curve Equation t Generators 48672bx1 [0,0,0,-26364,7311616] 1 [338:-6084:1]
48672by (1 curve)	1	2- 3- 13+	2- 3-  4  3 -2 13+ -6 -4
Curve Equation t Generators 48672by1 [0,0,0,312,-5200] 1 [25:135:1]
48672bz (1 curve)	1	2- 3- 13+	2- 3- -4  3 -2 13+ -6 -4
Curve Equation t Generators 48672bz1 [0,0,0,52728,11424400] 1 [0:3380:1]
48672ca (1 curve)	0	2- 3- 13-	2- 3-  3 -1 -4 13- -5  6
Curve Equation t 48672ca1 [0,0,0,-138411,20049822] 1
48672cb (1 curve)	0	2- 3- 13-	2- 3- -3 -1 -4 13- -5  6
Curve Equation t 48672cb1 [0,0,0,-819,-9126] 1
48672cc (2 curves)	2	2- 3- 13-	2- 3- -4  0  0 13- -2  0
Curve Equation t Generators 48672cc1 [0,0,0,-117,0] 2 [-9:18:1]&[-3:18:1] 48672cc2 [0,0,0,468,0] 2 [4:44:1]&[13:91:1]

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