Cremona's table of elliptic curves

50960 = 2⁴ · 5 · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
50960a (2 curves)	0	2+ 5+ 7- 13+	2+  2 5+ 7- -2 13+ -2  2
Curve Equation t 50960a1 [0,-1,0,-996,-11584] 2 50960a2 [0,-1,0,-16,-34320] 2
50960b (2 curves)	0	2+ 5+ 7- 13+	2+ -2 5+ 7-  2 13+  6  6
Curve Equation t 50960b1 [0,1,0,-506676,-54415460] 2 50960b2 [0,1,0,1846304,-414891996] 2
50960c (1 curve)	0	2+ 5+ 7- 13+	2+  3 5+ 7- -5 13+  8  4
Curve Equation t 50960c1 [0,0,0,20237,-571438] 1
50960d (2 curves)	1	2+ 5+ 7- 13-	2+  0 5+ 7-  2 13-  4  4
Curve Equation t Generators 50960d1 [0,0,0,-134603,-941878] 2 [-133:3822:1] 50960d2 [0,0,0,537677,-7530222] 2 [4109:-267540:1]
50960e (1 curve)	1	2+ 5+ 7- 13-	2+ -1 5+ 7-  3 13-  6 -6
Curve Equation t Generators 50960e1 [0,-1,0,-41176,-3645424] 1 [488:-9604:1]
50960f (2 curves)	1	2+ 5+ 7- 13-	2+  2 5+ 7-  0 13-  8 -2
Curve Equation t Generators 50960f1 [0,-1,0,-1976,16640] 2 [166:2058:1] 50960f2 [0,-1,0,-15696,-740704] 2 [236:2940:1]
50960g (2 curves)	1	2+ 5+ 7- 13-	2+  2 5+ 7-  4 13- -4  6
Curve Equation t Generators 50960g1 [0,-1,0,-27456,-1735600] 2 [27820:221088:125] 50960g2 [0,-1,0,-41176,196176] 2 [-51:1470:1]
50960h (2 curves)	1	2+ 5- 7- 13+	2+  0 5- 7- -2 13+  0  8
Curve Equation t Generators 50960h1 [0,0,0,-662627,207610354] 2 [273:6860:1] 50960h2 [0,0,0,-648907,216618906] 2 [287:7350:1]
50960i (4 curves)	0	2+ 5- 7- 13-	2+  0 5- 7-  0 13- -6  4
Curve Equation t 50960i1 [0,0,0,1078,-7889] 2 50960i2 [0,0,0,-5047,-67914] 4 50960i3 [0,0,0,-39347,2957346] 4 50960i4 [0,0,0,-68747,-6934774] 2
50960j (4 curves)	0	2+ 5- 7- 13-	2+  0 5- 7-  4 13-  6  4
Curve Equation t 50960j1 [0,0,0,-1127,14406] 2 50960j2 [0,0,0,-2107,-14406] 4 50960j3 [0,0,0,7693,-110446] 2 50960j4 [0,0,0,-27587,-1762334] 2
50960k (1 curve)	2	2+ 5- 7- 13-	2+ -1 5- 7- -5 13-  2 -6
Curve Equation t Generators 50960k1 [0,-1,0,-1147400,496810000] 1 [3050:159250:1]&[600:-4900:1]
50960l (2 curves)	0	2+ 5- 7- 13-	2+  2 5- 7-  2 13- -6 -6
Curve Equation t 50960l1 [0,-1,0,-176220,28499360] 2 50960l2 [0,-1,0,-128200,44326752] 2
50960m (2 curves)	0	2+ 5- 7- 13-	2+  2 5- 7- -6 13-  2  2
Curve Equation t 50960m1 [0,-1,0,-23340,1277312] 2 50960m2 [0,-1,0,24680,5810400] 2
50960n (1 curve)	2	2+ 5- 7- 13-	2+ -3 5- 7- -5 13- -8 -4
Curve Equation t Generators 50960n1 [0,0,0,413,1666] 1 [-3:20:1]&[7:-70:1]
50960o (1 curve)	0	2- 5+ 7+ 13+	2-  0 5+ 7+  5 13+ -7  1
Curve Equation t 50960o1 [0,0,0,-14063,-1051638] 1
50960p (1 curve)	1	2- 5+ 7+ 13-	2-  1 5+ 7+  2 13- -6  8
Curve Equation t Generators 50960p1 [0,1,0,-18636,1196600] 1 [31:806:1]
50960q (2 curves)	1	2- 5+ 7+ 13-	2-  2 5+ 7+  3 13- -3  7
Curve Equation t Generators 50960q1 [0,-1,0,-5896,-222480] 1 [153:1560:1] 50960q2 [0,-1,0,45064,2305136] 1 [162877:5403000:2197]
50960r (2 curves)	1	2- 5+ 7+ 13-	2-  2 5+ 7+ -3 13- -3  1
Curve Equation t Generators 50960r1 [0,-1,0,-117647056,-491168347200] 1 [510912102395093994:-82987770159521468865:16624328536648] 50960r2 [0,-1,0,15821104,-1522481034304] 1 [84483014:14558314875:2744]
50960s (4 curves)	1	2- 5+ 7- 13+	2-  0 5+ 7-  0 13+ -2 -8
Curve Equation t Generators 50960s1 [0,0,0,-5243,-52822] 2 [-49:294:1] 50960s2 [0,0,0,-67963,-6814038] 4 [431:6630:1] 50960s3 [0,0,0,-52283,-10040982] 2 [50421:2160802:27] 50960s4 [0,0,0,-1087163,-436304918] 2 [1999:73338:1]
50960t (4 curves)	1	2- 5+ 7- 13+	2-  0 5+ 7-  0 13+  6  0
Curve Equation t Generators 50960t1 [0,0,0,-52283,4601002] 2 [7:2058:1] 50960t2 [0,0,0,-56203,3871098] 4 [319:4290:1] 50960t3 [0,0,0,135877,24577322] 2 [13629:402094:27] 50960t4 [0,0,0,-311003,-63548982] 2 [711:8646:1]
50960u (2 curves)	1	2- 5+ 7- 13+	2-  1 5+ 7-  0 13+  0  2
Curve Equation t Generators 50960u1 [0,1,0,-145616,-24990316] 1 [78540612:1304485442:132651] 50960u2 [0,1,0,-12331216,-16671093356] 1 [12866566176555781156194732:3640860073365978232636788662:160375690593765270441]
50960v (3 curves)	1	2- 5+ 7- 13+	2-  1 5+ 7-  3 13+ -6  2
Curve Equation t Generators 50960v1 [0,1,0,-453502856,4030531993844] 1 [427526113305268:23422774621093750:27625773167] 50960v2 [0,1,0,2792747144,-3696204506156] 1 [14354242202657403525058037075508:-7200304842447436767884393835202750:1430312957403816107269021977] 50960v3 [0,1,0,-39594506856,-3216060481591756] 1 [140863463139177923527130833236453710842067596876122952861570806817127674935162746620923642588:-153311475300463462183024892844429345471065836724367385786059882205587719103657319423571619513670:115538884081158550977745515401755800843038029536348582403987333883225635419213888031857]
50960w (1 curve)	1	2- 5+ 7- 13+	2- -1 5+ 7-  1 13+  4  0
Curve Equation t Generators 50960w1 [0,-1,0,-3194816,2431482880] 1 [2336:87808:1]
50960x (1 curve)	1	2- 5+ 7- 13+	2-  2 5+ 7-  5 13+ -5 -1
Curve Equation t Generators 50960x1 [0,-1,0,-16,-384] 1 [21:90:1]
50960y (4 curves)	1	2- 5+ 7- 13+	2- -2 5+ 7-  6 13+  6  2
Curve Equation t Generators 50960y1 [0,1,0,-25496,1549204] 2 [-138:1568:1] 50960y2 [0,1,0,-9816,3449620] 2 [-124:1666:1] 50960y3 [0,1,0,-162696,-24299276] 2 [940:25578:1] 50960y4 [0,1,0,88184,-92237580] 2 [653004:19373914:729]
50960z (1 curve)	1	2- 5+ 7- 13+	2- -3 5+ 7-  0 13+  0 -6
Curve Equation t Generators 50960z1 [0,0,0,-193143643,1033173450442] 1 [8079:9178:1]
50960ba (2 curves)	2	2- 5+ 7- 13-	2-  0 5+ 7-  0 13- -6 -4
Curve Equation t Generators 50960ba1 [0,0,0,77,882] 2 [7:42:1]&[18:90:1] 50960ba2 [0,0,0,-1043,11858] 2 [-31:120:1]&[-14:154:1]
50960bb (2 curves)	0	2- 5+ 7- 13-	2-  0 5+ 7-  2 13-  4 -4
Curve Equation t 50960bb1 [0,0,0,-22883,-1191582] 2 50960bb2 [0,0,0,31997,-6031998] 2
50960bc (1 curve)	0	2- 5+ 7- 13-	2-  1 5+ 7- -3 13-  0  8
Curve Equation t 50960bc1 [0,1,0,-3441776,-2459599276] 1
50960bd (1 curve)	0	2- 5+ 7- 13-	2-  1 5+ 7-  4 13-  0 -6
Curve Equation t 50960bd1 [0,1,0,-231296,43159220] 1
50960be (2 curves)	0	2- 5+ 7- 13-	2- -2 5+ 7-  4 13-  0 -6
Curve Equation t 50960be1 [0,1,0,-897696,265768180] 2 50960be2 [0,1,0,-4410016,-3326632716] 2
50960bf (2 curves)	0	2- 5+ 7- 13-	2- -2 5+ 7-  6 13- -6 -4
Curve Equation t 50960bf1 [0,1,0,19,-50] 2 50960bf2 [0,1,0,-156,-680] 2
50960bg (1 curve)	0	2- 5+ 7- 13-	2-  3 5+ 7-  0 13- -4  2
Curve Equation t 50960bg1 [0,0,0,77,3122] 1
50960bh (1 curve)	1	2- 5- 7+ 13+	2- -1 5- 7+  4 13+  0  6
Curve Equation t Generators 50960bh1 [0,-1,0,-4720,-124480] 1 [82:182:1]
50960bi (1 curve)	1	2- 5- 7+ 13+	2- -3 5- 7+  0 13+  4 -2
Curve Equation t Generators 50960bi1 [0,0,0,3773,-1070846] 1 [343:6370:1]
50960bj (2 curves)	0	2- 5- 7+ 13-	2- -1 5- 7+  0 13-  0 -2
Curve Equation t 50960bj1 [0,-1,0,-7135200,8557408000] 1 50960bj2 [0,-1,0,-604229600,5716976561920] 1
50960bk (1 curve)	0	2- 5- 7+ 13-	2- -2 5- 7+  5 13-  5  1
Curve Equation t 50960bk1 [0,1,0,-800,133300] 1
50960bl (1 curve)	0	2- 5- 7+ 13-	2-  3 5- 7+  0 13-  0  6
Curve Equation t 50960bl1 [0,0,0,-3941707,-3012167494] 1
50960bm (2 curves)	0	2- 5- 7- 13+	2-  0 5- 7-  0 13+  6  4
Curve Equation t 50960bm1 [0,0,0,3773,-302526] 2 50960bm2 [0,0,0,-51107,-4067294] 2
50960bn (2 curves)	0	2- 5- 7- 13+	2-  0 5- 7-  6 13+  8  0
Curve Equation t 50960bn1 [0,0,0,-26575787,48529348826] 2 50960bn2 [0,0,0,29621333,226415712474] 2
50960bo (2 curves)	0	2- 5- 7- 13+	2-  1 5- 7-  3 13+  6  2
Curve Equation t 50960bo1 [0,1,0,5080,917300] 1 50960bo2 [0,1,0,-45880,-25235372] 1
50960bp (1 curve)	0	2- 5- 7- 13+	2- -1 5- 7-  2 13+  6 -8
Curve Equation t 50960bp1 [0,-1,0,-380,-3380] 1
50960bq (1 curve)	2	2- 5- 7- 13+	2- -1 5- 7- -3 13+  0 -8
Curve Equation t Generators 50960bq1 [0,-1,0,-70240,7190912] 1 [-296:1400:1]&[104:-1000:1]
50960br (2 curves)	0	2- 5- 7- 13+	2-  2 5- 7- -4 13+  0 -2
Curve Equation t 50960br1 [0,-1,0,-4720,38592] 2 50960br2 [0,-1,0,-59600,5614400] 2
50960bs (2 curves)	0	2- 5- 7- 13+	2-  2 5- 7-  6 13+  6  4
Curve Equation t 50960bs1 [0,-1,0,915,18992] 2 50960bs2 [0,-1,0,-7660,217932] 2
50960bt (4 curves)	0	2- 5- 7- 13+	2- -2 5- 7-  0 13+  0  2
Curve Equation t 50960bt1 [0,1,0,-183080,30050740] 2 50960bt2 [0,1,0,-237960,10491508] 2 50960bt3 [0,1,0,-743640,-217676012] 2 50960bt4 [0,1,0,-11500120,-15014289900] 2
50960bu (6 curves)	0	2- 5- 7- 13+	2- -2 5- 7-  0 13+  0  2
Curve Equation t 50960bu1 [0,1,0,-937680,347838868] 2 50960bu2 [0,1,0,-14986960,22326532500] 2 50960bu3 [0,1,0,-5202640,-4309397100] 2 50960bu4 [0,1,0,-15959120,19264504468] 2 50960bu5 [0,1,0,-414717200,-3250832956652] 2 50960bu6 [0,1,0,-414772080,-3249929609900] 2
50960bv (2 curves)	0	2- 5- 7- 13+	2- -2 5- 7-  3 13+  3 -7
Curve Equation t 50960bv1 [0,1,0,-288920,76888468] 1 50960bv2 [0,1,0,2208120,-795077900] 1
50960bw (2 curves)	0	2- 5- 7- 13+	2- -2 5- 7- -3 13+  3 -1
Curve Equation t 50960bw1 [0,1,0,-2400960,1431291700] 1 50960bw2 [0,1,0,322880,4438812468] 1
50960bx (1 curve)	2	2- 5- 7- 13+	2- -3 5- 7- -3 13+  2 -6
Curve Equation t Generators 50960bx1 [0,0,0,-25627,1604554] 1 [-35:1568:1]&[-182:490:1]
50960by (4 curves)	1	2- 5- 7- 13-	2-  0 5- 7-  0 13-  2 -4
Curve Equation t Generators 50960by1 [0,0,0,-39347,2161586] 2 [217:1960:1] 50960by2 [0,0,0,-231427,-41133246] 4 [-257:1170:1] 50960by3 [0,0,0,125293,-156496494] 4 [2487:124650:1] 50960by4 [0,0,0,-3661427,-2696639246] 2 [2863:101430:1]
50960bz (4 curves)	1	2- 5- 7- 13-	2-  0 5- 7- -4 13- -2 -4
Curve Equation t Generators 50960bz1 [0,0,0,-1568147,691487314] 2 [903:3430:1] 50960bz2 [0,0,0,-5582227,-4304436654] 4 [-1713:15210:1] 50960bz3 [0,0,0,10097773,-24127092654] 2 [9177:917280:1] 50960bz4 [0,0,0,-85487507,-304220914606] 2 [-11753989:5756850:2197]
50960ca (1 curve)	1	2- 5- 7- 13-	2-  0 5- 7-  5 13-  7 -1
Curve Equation t Generators 50960ca1 [0,0,0,-287,3066] 1 [2:50:1]
50960cb (1 curve)	1	2- 5- 7- 13-	2-  1 5- 7-  1 13- -4  0
Curve Equation t Generators 50960cb1 [0,1,0,-65200,-7107500] 1 [690:-16640:1]
50960cc (1 curve)	1	2- 5- 7- 13-	2- -1 5- 7-  5 13- -2 -6
Curve Equation t Generators 50960cc1 [0,-1,0,-153680,129806272] 1 [-456:10240:1]
50960cd (2 curves)	1	2- 5- 7- 13-	2-  2 5- 7-  2 13- -2  6
Curve Equation t Generators 50960cd1 [0,-1,0,-659360,-205830400] 2 [7600:658560:1] 50960cd2 [0,-1,0,-596640,-246623488] 2 [205158:17784550:27]
50960ce (2 curves)	1	2- 5- 7- 13-	2-  2 5- 7- -4 13- -2  0
Curve Equation t Generators 50960ce1 [0,-1,0,-13785,627572] 2 [127596:142883:1728] 50960ce2 [0,-1,0,-13540,650700] 2 [90:5655:8]
50960cf (2 curves)	1	2- 5- 7- 13-	2- -2 5- 7- -2 13- -2 -6
Curve Equation t Generators 50960cf1 [0,1,0,-800,1588] 2 [-12:98:1] 50960cf2 [0,1,0,3120,15700] 2 [44:490:1]

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