Cremona's table of elliptic curves

121520 = 2⁴ · 5 · 7² · 31

Class	r	Atkin-Lehner	Eigenvalues
121520a (1 curve)	0	2+ 5+ 7+ 31-	2+  1 5+ 7+  4  3  0  4
Curve Equation t 121520a1 [0,1,0,1944,-141100] 1
121520b (1 curve)	0	2+ 5+ 7+ 31-	2+  1 5+ 7+ -6  4  8  2
Curve Equation t 121520b1 [0,1,0,-3181096,-7940931356] 1
121520c (4 curves)	0	2+ 5+ 7- 31+	2+  0 5+ 7- -4  2  2 -4
Curve Equation t 121520c1 [0,0,0,9457,66542] 2 121520c2 [0,0,0,-38563,537138] 4 121520c3 [0,0,0,-381563,-90220662] 2 121520c4 [0,0,0,-463883,121413082] 2
121520d (1 curve)	0	2+ 5+ 7- 31+	2+ -1 5+ 7-  2  2  5  1
Curve Equation t 121520d1 [0,-1,0,-1241,23941] 1
121520e (1 curve)	0	2+ 5+ 7- 31+	2+  3 5+ 7-  2  2  1  1
Curve Equation t 121520e1 [0,0,0,-1884148,-995455972] 1
121520f (4 curves)	1	2+ 5+ 7- 31-	2+  0 5+ 7-  0 -6 -2  4
Curve Equation t Generators 121520f1 [0,0,0,-17738,-909293] 2 [10231221:-63951272:59319] 121520f2 [0,0,0,-17983,-882882] 4 [7707:112112:27] 121520f3 [0,0,0,12397,-3562398] 2 [189:2352:1] 121520f4 [0,0,0,-52283,3486938] 2 [58:806:1]
121520g (4 curves)	1	2+ 5+ 7- 31-	2+  0 5+ 7-  4 -2 -6  4
Curve Equation t Generators 121520g1 [0,0,0,-17738,-569037] 2 [-36379:118420:343] 121520g2 [0,0,0,-253183,-49023618] 4 [-801628660:-250760271:2744000] 121520g3 [0,0,0,-222803,-61230302] 2 [23079:521360:27] 121520g4 [0,0,0,-4050683,-3137910118] 2 [-1307833875392384620:-387370896042297:1125513084808000]
121520h (1 curve)	1	2+ 5+ 7- 31-	2+  1 5+ 7- -5 -1  6 -1
Curve Equation t Generators 121520h1 [0,1,0,-5896,-125420] 1 [-54:196:1]
121520i (1 curve)	1	2+ 5+ 7- 31-	2+ -1 5+ 7-  3 -1 -4 -3
Curve Equation t Generators 121520i1 [0,-1,0,-1416,13840] 1 [96:868:1]
121520j (2 curves)	1	2+ 5- 7- 31+	2+  0 5- 7-  0 -4 -6  0
Curve Equation t Generators 121520j1 [0,0,0,-4067,-143374] 2 [91:490:1] 121520j2 [0,0,0,-72667,-7538454] 2 [1071:33810:1]
121520k (1 curve)	1	2+ 5- 7- 31+	2+  1 5- 7- -1  3 -2  5
Curve Equation t Generators 121520k1 [0,1,0,-19185280,-30654860972] 1 [-4604028:41177150:2197]
121520l (1 curve)	1	2+ 5- 7- 31+	2+  1 5- 7-  3  1  4  3
Curve Equation t Generators 121520l1 [0,1,0,-69400,-4608332] 1 [-78:580:1]
121520m (1 curve)	1	2+ 5- 7- 31+	2+ -1 5- 7- -3 -1 -3 -6
Curve Equation t Generators 121520m1 [0,-1,0,-403313185,-4659965564323] 1 [297697575436877998303724:2368076511979508437437920023:4704726500922547]
121520n (1 curve)	1	2+ 5- 7- 31+	2+ -1 5- 7- -3 -1  4  1
Curve Equation t Generators 121520n1 [0,-1,0,-790680,259728400] 1 [2560:122500:1]
121520o (1 curve)	1	2+ 5- 7- 31+	2+ -1 5- 7-  4 -3  0 -4
Curve Equation t Generators 121520o1 [0,-1,0,40,400] 1 [0:20:1]
121520p (1 curve)	1	2+ 5- 7- 31+	2+ -1 5- 7- -6 -4 -8 -2
Curve Equation t Generators 121520p1 [0,-1,0,-64920,23169952] 1 [-38094:1847042:343]
121520q (2 curves)	1	2+ 5- 7- 31+	2+  2 5- 7-  0  2  0  0
Curve Equation t Generators 121520q1 [0,-1,0,-32160,-5498800] 2 [1311284:30089136:2197] 121520q2 [0,-1,0,-704440,-227082288] 2 [66054:3041038:27]
121520r (2 curves)	1	2+ 5- 7- 31+	2+  2 5- 7-  0 -4  4  4
Curve Equation t Generators 121520r1 [0,-1,0,-3495,73970] 2 [143478354:1815485084:804357] 121520r2 [0,-1,0,4100,344352] 2 [18804:498232:27]
121520s (2 curves)	1	2+ 5- 7- 31+	2+  2 5- 7-  4  0  0 -4
Curve Equation t Generators 121520s1 [0,-1,0,-195575,-33224470] 2 [366421020790138374904720069943243454:-11730035636020618273007518096976946724:302801192497272293094131997157287] 121520s2 [0,-1,0,-187980,-35931328] 2 [408975239950905863244:6766246876995332693288:629782006874229747]
121520t (2 curves)	1	2+ 5- 7- 31+	2+  2 5- 7- -4 -4 -4  4
Curve Equation t Generators 121520t1 [0,-1,0,-1535,-3058] 2 [2298:18620:27] 121520t2 [0,-1,0,6060,-30400] 2 [320:5880:1]
121520u (2 curves)	1	2+ 5- 7- 31+	2+ -2 5- 7-  2  6 -2 -4
Curve Equation t Generators 121520u1 [0,1,0,-1780,58428] 2 [58:392:1] 121520u2 [0,1,0,-36080,2624068] 2 [-17:1798:1]
121520v (2 curves)	1	2+ 5- 7- 31+	2+ -2 5- 7- -2  0  2  4
Curve Equation t Generators 121520v1 [0,1,0,326520,-85387772] 2 [576:17150:1] 121520v2 [0,1,0,-2074480,-846984972] 2 [1948:50078:1]
121520w (2 curves)	1	2+ 5- 7- 31+	2+ -2 5- 7- -2 -6  2  4
Curve Equation t Generators 121520w1 [0,1,0,-35242580,-84308864900] 2 [9690:695800:1] 121520w2 [0,1,0,-571180080,-5254390739900] 2 [383770:70536725:8]
121520x (1 curve)	1	2+ 5- 7- 31+	2+  3 5- 7-  3 -1 -3 -6
Curve Equation t Generators 121520x1 [0,0,0,-1100932,444929996] 1 [11427864:138069505:13824]
121520y (2 curves)	2	2+ 5- 7- 31-	2+  0 5- 7- -2 -2  0 -8
Curve Equation t Generators 121520y1 [0,0,0,-15827,849954] 2 [-115:1072:1]&[-7:980:1] 121520y2 [0,0,0,-260827,51270954] 2 [15:6882:1]&[263:930:1]
121520z (1 curve)	0	2+ 5- 7- 31-	2+ -1 5- 7-  0  2 -3  1
Curve Equation t 121520z1 [0,-1,0,-352865,-81212963] 1
121520ba (2 curves)	0	2+ 5- 7- 31-	2+  2 5- 7-  0 -4  0  4
Curve Equation t 121520ba1 [0,-1,0,180,7232] 2 121520ba2 [0,-1,0,-4720,120912] 2
121520bb (2 curves)	0	2+ 5- 7- 31-	2+ -2 5- 7-  4 -4  0 -4
Curve Equation t 121520bb1 [0,1,0,-399660,-97798100] 2 121520bb2 [0,1,0,-6402160,-6237155100] 2
121520bc (1 curve)	0	2- 5+ 7+ 31+	2-  3 5+ 7+  4  4 -6  4
Curve Equation t 121520bc1 [0,0,0,-20923,-2357782] 1
121520bd (1 curve)	1	2- 5+ 7+ 31-	2-  0 5+ 7+  5  1 -4  3
Curve Equation t Generators 121520bd1 [0,0,0,-158123,25263322] 1 [-441:3038:1]
121520be (1 curve)	1	2- 5+ 7+ 31-	2- -1 5+ 7+ -4  1  0  8
Curve Equation t Generators 121520be1 [0,-1,0,-38194536,-90952670864] 1 [97026:30159590:1]
121520bf (1 curve)	1	2- 5+ 7+ 31-	2- -1 5+ 7+ -4  4 -6 -4
Curve Equation t Generators 121520bf1 [0,-1,0,-43394416,110044423616] 1 [3458:36394:1]
121520bg (1 curve)	1	2- 5+ 7+ 31-	2-  3 5+ 7+  2  4 -4 -6
Curve Equation t Generators 121520bg1 [0,0,0,-2614003,-2296551502] 1 [4303677:1718126578:27]
121520bh (4 curves)	1	2- 5+ 7- 31+	2-  0 5+ 7-  4 -2  2  4
Curve Equation t Generators 121520bh1 [0,0,0,18277,-393078] 2 [119:1862:1] 121520bh2 [0,0,0,-79723,-3274278] 4 [319:1938:1] 121520bh3 [0,0,0,-687323,217041482] 2 [2600167:6058074:4913] 121520bh4 [0,0,0,-1040123,-407986838] 2 [296733:30968594:27]
121520bi (2 curves)	1	2- 5+ 7- 31+	2-  0 5+ 7-  4  4  0  0
Curve Equation t Generators 121520bi1 [0,0,0,-51548,4503247] 2 [1788633:25779488:24389] 121520bi2 [0,0,0,-59143,3089058] 2 [38262866336:-484261648233:799178752]
121520bj (1 curve)	1	2- 5+ 7- 31+	2- -1 5+ 7- -1 -1  8  7
Curve Equation t Generators 121520bj1 [0,-1,0,-68616,6507376] 1 [-86:3430:1]
121520bk (1 curve)	1	2- 5+ 7- 31+	2-  2 5+ 7-  5 -7  2 -5
Curve Equation t Generators 121520bk1 [0,-1,0,3064,-6544] 1 [1580:23064:125]
121520bl (2 curves)	1	2- 5+ 7- 31+	2-  2 5+ 7- -6  0  6  0
Curve Equation t Generators 121520bl1 [0,-1,0,11744,-2002944] 2 [384:7680:1] 121520bl2 [0,-1,0,-184256,-28188544] 2 [-254:1470:1]
121520bm (1 curve)	1	2- 5+ 7- 31+	2-  3 5+ 7-  1  1 -1 -2
Curve Equation t Generators 121520bm1 [0,0,0,-26630128,-92319020752] 1 [703159668659572358236067382757986:85636365358103346420558302517671273:41977008760650684831932437512]
121520bn (1 curve)	1	2- 5+ 7- 31+	2-  3 5+ 7-  1  1 -6  3
Curve Equation t Generators 121520bn1 [0,0,0,-97363,11611922] 1 [3549:28126:27]
121520bo (1 curve)	1	2- 5+ 7- 31+	2-  3 5+ 7- -1 -7  7  6
Curve Equation t Generators 121520bo1 [0,0,0,-652288,-204982288] 1 [1557719983911:7982467820860967:59319]
121520bp (1 curve)	1	2- 5+ 7- 31+	2- -3 5+ 7- -1  5  4  3
Curve Equation t Generators 121520bp1 [0,0,0,-220843,39751642] 1 [469:6272:1]
121520bq (1 curve)	1	2- 5+ 7- 31+	2- -3 5+ 7- -2 -2  3 -3
Curve Equation t Generators 121520bq1 [0,0,0,392,1372] 1 [14:-98:1]
121520br (1 curve)	1	2- 5+ 7- 31+	2- -3 5+ 7- -4 -1 -8  0
Curve Equation t Generators 121520br1 [0,0,0,-22864723,-67018820078] 1 [28306051839:115461142250:4826809]
121520bs (1 curve)	0	2- 5+ 7- 31-	2-  1 5+ 7- -1  5  0  1
Curve Equation t 121520bs1 [0,1,0,-203856,-8373100] 1
121520bt (2 curves)	0	2- 5+ 7- 31-	2-  1 5+ 7-  3  1  3  2
Curve Equation t 121520bt1 [0,1,0,-13981,1805719] 1 121520bt2 [0,1,0,123219,-43415401] 1
121520bu (2 curves)	0	2- 5+ 7- 31-	2-  1 5+ 7- -3  1  0 -1
Curve Equation t 121520bu1 [0,1,0,-1130936,462337364] 1 121520bu2 [0,1,0,-3463336,-1928619596] 1
121520bv (1 curve)	0	2- 5+ 7- 31-	2- -1 5+ 7-  1 -3 -5 -2
Curve Equation t 121520bv1 [0,-1,0,-26099621,51330489421] 1
121520bw (2 curves)	0	2- 5+ 7- 31-	2- -1 5+ 7- -2  6  7 -5
Curve Equation t 121520bw1 [0,-1,0,7579,206221] 1 121520bw2 [0,-1,0,-658821,-205993619] 1
121520bx (2 curves)	0	2- 5+ 7- 31-	2- -1 5+ 7-  3  1  2 -5
Curve Equation t 121520bx1 [0,-1,0,-7836096,-3428271104] 1 121520bx2 [0,-1,0,-4037125696,-98730332875264] 1
121520by (1 curve)	0	2- 5+ 7- 31-	2- -1 5+ 7-  5  5  3 -2
Curve Equation t 121520by1 [0,-1,0,-261,-193619] 1
121520bz (2 curves)	0	2- 5+ 7- 31-	2-  2 5+ 7-  0 -2 -4  4
Curve Equation t 121520bz1 [0,-1,0,-1976,-1646224] 2 121520bz2 [0,-1,0,-221496,-39579280] 2
121520ca (1 curve)	0	2- 5+ 7- 31-	2-  2 5+ 7- -3  1  2 -5
Curve Equation t 121520ca1 [0,-1,0,33513464,402512810736] 1
121520cb (4 curves)	0	2- 5+ 7- 31-	2- -2 5+ 7-  0 -2  0 -4
Curve Equation t 121520cb1 [0,1,0,5043064,6790780660] 2 121520cb2 [0,1,0,-37982856,72413913844] 2 121520cb3 [0,1,0,-47778936,-244697642540] 2 121520cb4 [0,1,0,-946932856,-11209699866156] 2
121520cc (1 curve)	0	2- 5+ 7- 31-	2-  3 5+ 7-  3 -1 -4  1
Curve Equation t 121520cc1 [0,0,0,-36200563,83536941362] 1
121520cd (1 curve)	1	2- 5- 7+ 31+	2- -2 5- 7+ -3 -1 -2  5
Curve Equation t Generators 121520cd1 [0,1,0,1642159720,-138065178401900] 1 [4519990:9610000000:1]
121520ce (1 curve)	0	2- 5- 7+ 31-	2- -2 5- 7+  5  7 -2  5
Curve Equation t 121520ce1 [0,1,0,150120,1944340] 1
121520cf (1 curve)	0	2- 5- 7+ 31-	2-  3 5- 7+ -4  1  8  0
Curve Equation t 121520cf1 [0,0,0,-466627,195390146] 1
121520cg (2 curves)	0	2- 5- 7- 31+	2-  0 5- 7- -4 -4 -2  0
Curve Equation t 121520cg1 [0,0,0,350532133,169419698826] 2 121520cg2 [0,0,0,-1405627867,1356935090826] 2
121520ch (1 curve)	0	2- 5- 7- 31+	2-  0 5- 7-  5 -1  4 -3
Curve Equation t 121520ch1 [0,0,0,-3227,-73654] 1
121520ci (1 curve)	0	2- 5- 7- 31+	2-  1 5- 7- -4 -1  0 -8
Curve Equation t 121520ci1 [0,1,0,-779480,264945428] 1
121520cj (1 curve)	0	2- 5- 7- 31+	2-  1 5- 7- -4  2 -3 -5
Curve Equation t 121520cj1 [0,1,0,10081195,14722285955] 1
121520ck (1 curve)	0	2- 5- 7- 31+	2-  1 5- 7- -4 -4  6  4
Curve Equation t 121520ck1 [0,1,0,-885600,-321082252] 1
121520cl (1 curve)	0	2- 5- 7- 31+	2-  1 5- 7-  5  5  0  1
Curve Equation t 121520cl1 [0,1,0,-4720,-78380] 1
121520cm (1 curve)	2	2- 5- 7- 31+	2- -1 5- 7- -1 -5  0 -1
Curve Equation t Generators 121520cm1 [0,-1,0,-4160,25600] 1 [-64:160:1]&[-30:350:1]
121520cn (1 curve)	0	2- 5- 7- 31+	2- -1 5- 7-  4  6 -5 -1
Curve Equation t 121520cn1 [0,-1,0,-1045,18845] 1
121520co (2 curves)	0	2- 5- 7- 31+	2-  2 5- 7- -2  0 -2 -4
Curve Equation t 121520co1 [0,-1,0,-51760,-4665408] 2 121520co2 [0,-1,0,-835760,-293804608] 2
121520cp (2 curves)	2	2- 5- 7- 31+	2- -2 5- 7-  0 -6  4 -8
Curve Equation t Generators 121520cp1 [0,1,0,9000,250900] 2 [-10:400:1]&[23:686:1] 121520cp2 [0,1,0,-45880,2204628] 2 [366:-5880:1]&[-194:1960:1]
121520cq (2 curves)	0	2- 5- 7- 31+	2- -2 5- 7-  2 -4  6  4
Curve Equation t 121520cq1 [0,1,0,-2129360,3876591508] 2 121520cq2 [0,1,0,-52305360,145312700308] 2
121520cr (1 curve)	0	2- 5- 7- 31+	2-  3 5- 7-  5 -1  4 -3
Curve Equation t 121520cr1 [0,0,0,-13951578067,-588306128527726] 1
121520cs (1 curve)	0	2- 5- 7- 31+	2- -3 5- 7-  2 -4  4  6
Curve Equation t 121520cs1 [0,0,0,-128086147,787717165186] 1
121520ct (1 curve)	0	2- 5- 7- 31+	2- -3 5- 7-  3  1  4 -1
Curve Equation t 121520ct1 [0,0,0,-738787,-243547934] 1
121520cu (1 curve)	0	2- 5- 7- 31+	2- -3 5- 7- -4  2  1  3
Curve Equation t 121520cu1 [0,0,0,1568,-3221456] 1
121520cv (2 curves)	1	2- 5- 7- 31-	2-  0 5- 7-  2 -6  4  0
Curve Equation t Generators 121520cv1 [0,0,0,-1562267,1614769226] 2 [445:31744:1] 121520cv2 [0,0,0,-32295067,70585318986] 2 [-2870:373674:1]
121520cw (2 curves)	1	2- 5- 7- 31-	2-  0 5- 7- -2  2  0  8
Curve Equation t Generators 121520cw1 [0,0,0,-127547,-17768086] 2 [4285:279488:1] 121520cw2 [0,0,0,-2048347,-1128374646] 2 [5835390:362466558:1331]
121520cx (2 curves)	1	2- 5- 7- 31-	2-  1 5- 7-  0 -2  3 -7
Curve Equation t Generators 121520cx1 [0,1,0,-4965,133055] 1 [79:490:1] 121520cx2 [0,1,0,2875,507023] 1 [611:15190:1]
121520cy (3 curves)	1	2- 5- 7- 31-	2-  1 5- 7- -3 -5  6 -7
Curve Equation t Generators 121520cy1 [0,1,0,-461400,120478868] 1 [268:4018:1] 121520cy2 [0,1,0,-512360,92174900] 1 [-460:15190:1] 121520cy3 [0,1,0,-16674520,-26208593132] 1 [-62988:12250:27]
121520cz (2 curves)	1	2- 5- 7- 31-	2-  2 5- 7- -4  0  8  4
Curve Equation t Generators 121520cz1 [0,-1,0,-800,-30400] 2 [112:1128:1] 121520cz2 [0,-1,0,-20400,-1112320] 2 [4494:7426:27]
121520da (4 curves)	1	2- 5- 7- 31-	2- -2 5- 7-  0  4  0 -4
Curve Equation t Generators 121520da1 [0,1,0,-83120,9386068] 2 [156:-490:1] 121520da2 [0,1,0,-1337520,594939988] 2 [-852:33418:1] 121520da3 [0,1,0,355920,40470100] 2 [380:-15190:1] 121520da4 [0,1,0,-1604080,340742100] 2 [-1300:15190:1]
121520db (2 curves)	1	2- 5- 7- 31-	2- -2 5- 7-  2  2 -2  4
Curve Equation t Generators 121520db1 [0,1,0,-8640,368500] 2 [-12:686:1] 121520db2 [0,1,0,-145840,21387540] 2 [188:806:1]
121520dc (4 curves)	1	2- 5- 7- 31-	2- -2 5- 7- -6 -2  6 -4
Curve Equation t Generators 121520dc1 [0,1,0,-98800,-408548652] 2 [1668:63798:1] 121520dc2 [0,1,0,-8879600,-10077965612] 2 [-1852:4278:1] 121520dc3 [0,1,0,-44818160,-115505293100] 2 [50948:11395146:1] 121520dc4 [0,1,0,-717098160,-7391457277100] 2 [1459596:285520942:27]
121520dd (1 curve)	1	2- 5- 7- 31-	2- -3 5- 7-  4 -4  6 -4
Curve Equation t Generators 121520dd1 [0,0,0,-427,6874] 1 [15:62:1]

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