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Results (26 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
2730.k4 2730.k \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 35106336, 2069162907886]$ \(y^2+xy+y=x^3+35106336x+2069162907886\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ $[ ]$
8190.bp4 8190.bp \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 315957028, -55867398512929]$ \(y^2+xy+y=x^3-x^2+315957028x-55867398512929\) 2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 70.6.0.a.1, 84.12.0.?, $\ldots$ $[ ]$
13650.ca4 13650.ca \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, 877658412, 258645363485781]$ \(y^2+xy+y=x^3+x^2+877658412x+258645363485781\) 2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 140.24.0.?, 520.24.0.?, $\ldots$ $[ ]$
19110.e4 19110.e \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 1720210488, -709721157194496]$ \(y^2+xy=x^3+x^2+1720210488x-709721157194496\) 2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 140.24.0.?, 520.24.0.?, $\ldots$ $[ ]$
21840.r4 21840.r \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $96.14040937$ $[0, -1, 0, 561701384, -132426426104720]$ \(y^2=x^3-x^2+561701384x-132426426104720\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 28.12.0-4.c.1.2, 70.6.0.a.1, $\ldots$ $[(13437994865218253807481033838088601281561426/6325307251282222519, 49297295738157080522798712128786793444387193127633709186038410578/6325307251282222519)]$
35490.dw4 35490.dw \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $0.901601816$ $[1, 0, 0, 5932970865, 4545944975655225]$ \(y^2+xy=x^3+5932970865x+4545944975655225\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 70.6.0.a.1, 140.12.0.?, $\ldots$ $[(-20880, 66440565)]$
40950.cr4 40950.cr \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 7898925708, -6983416915190384]$ \(y^2+xy=x^3-x^2+7898925708x-6983416915190384\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 70.6.0.a.1, 140.12.0.?, $\ldots$ $[ ]$
57330.ed4 57330.ed \( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $24.79919777$ $[1, -1, 1, 15481894387, 19162486726145781]$ \(y^2+xy+y=x^3-x^2+15481894387x+19162486726145781\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 70.6.0.a.1, 140.12.0.?, $\ldots$ $[(707891603241/395, 595738913808715654/395)]$
65520.dn4 65520.dn \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $10.36809229$ $[0, 0, 0, 5055312453, 3575508449514986]$ \(y^2=x^3+5055312453x+3575508449514986\) 2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 70.6.0.a.1, 84.12.0.?, $\ldots$ $[(-124753, 31674490)]$
87360.ck4 87360.ck \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $16.21605226$ $[0, -1, 0, 2246805535, 1059409162032225]$ \(y^2=x^3-x^2+2246805535x+1059409162032225\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0-4.c.1.2, 70.6.0.a.1, $\ldots$ $[(460731315/79, 19890923261820/79)]$
87360.gs4 87360.gs \( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 2246805535, -1059409162032225]$ \(y^2=x^3+x^2+2246805535x-1059409162032225\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ $[ ]$
95550.iz4 95550.iz \( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, 43005262187, -88715230659836383]$ \(y^2+xy=x^3+43005262187x-88715230659836383\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ $[ ]$
106470.bf4 106470.bf \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $134.5656485$ $[1, -1, 0, 53396737785, -122740514342691075]$ \(y^2+xy=x^3-x^2+53396737785x-122740514342691075\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 70.6.0.a.1, 140.12.0.?, $\ldots$ $[(2940124075683977129334271001946702981458558848071412330194121/2191731089575610246383864815, 3925217755319620875615996152239825114656060394884874370240622987811949179845600291982185899/2191731089575610246383864815)]$
109200.fh4 109200.fh \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, 1, 0, 14042534592, -16553275178020812]$ \(y^2=x^3+x^2+14042534592x-16553275178020812\) 2.3.0.a.1, 4.12.0-4.c.1.1, 70.6.0.a.1, 140.24.0.?, 520.24.0.?, $\ldots$ $[ ]$
152880.ih4 152880.ih \( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, 1, 0, 27523367800, 45422209107183348]$ \(y^2=x^3+x^2+27523367800x+45422209107183348\) 2.3.0.a.1, 4.12.0-4.c.1.1, 70.6.0.a.1, 140.24.0.?, 520.24.0.?, $\ldots$ $[ ]$
177450.bk4 177450.bk \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $117.4950493$ $[1, 1, 0, 148324271625, 568243121956903125]$ \(y^2+xy=x^3+x^2+148324271625x+568243121956903125\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 52.12.0-4.c.1.1, 56.12.0-4.c.1.3, $\ldots$ $[(-382660506688245327242209354142523916442295164183105045/815368605052483608446399, 293172143910876331225660561044504217476110191056500360803543349154972624691981415/815368605052483608446399)]$
248430.gs4 248430.gs \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $104.6441673$ $[1, 1, 1, 290715572384, -1559258835934169791]$ \(y^2+xy+y=x^3+x^2+290715572384x-1559258835934169791\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.3, 52.12.0-4.c.1.1, 56.12.0-4.c.1.5, $\ldots$ $[(491090195062467353624122300680332103412990843671/640497632672194898821, 186419330233695209678927884712066710554489490256975609536170097232159245/640497632672194898821)]$
262080.q4 262080.q \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $141.1318023$ $[0, 0, 0, 20221249812, -28604067596119888]$ \(y^2=x^3+20221249812x-28604067596119888\) 2.3.0.a.1, 4.6.0.c.1, 70.6.0.a.1, 120.12.0.?, 140.12.0.?, $\ldots$ $[(500283613573345423689619323612927982401287489759745804734127928/7288464387174967328692051803, 11190937873392499961520912360989127614147003130311264654803415484472111063898013396491077313996/7288464387174967328692051803)]$
262080.gr4 262080.gr \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $152.4167048$ $[0, 0, 0, 20221249812, 28604067596119888]$ \(y^2=x^3+20221249812x+28604067596119888\) 2.3.0.a.1, 4.6.0.c.1, 70.6.0.a.1, 120.12.0.?, 140.12.0.?, $\ldots$ $[(-1298626685678046790975446567816607668514538212964807155261917300548/2501846515695955827080377839117, 1948221227329748287719273710113913630947291837216850513075049774752286935865867639518923684244413672/2501846515695955827080377839117)]$
283920.ce4 283920.ce \( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $40.27865193$ $[0, -1, 0, 94927533840, -290940478441934400]$ \(y^2=x^3-x^2+94927533840x-290940478441934400\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 70.6.0.a.1, 140.12.0.?, $\ldots$ $[(5523849452798288530/2953633, 3909585782953611910963250250/2953633)]$
286650.he4 286650.he \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $23.58678706$ $[1, -1, 0, 387047359683, 2395311227815582341]$ \(y^2+xy=x^3-x^2+387047359683x+2395311227815582341\) 2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 70.6.0.a.1, 84.12.0.?, $\ldots$ $[(-22719478481454/7187, 543140710838953011849/7187)]$
327600.bi4 327600.bi \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 126382811325, 446938556189373250]$ \(y^2=x^3+126382811325x+446938556189373250\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 70.6.0.a.1, 140.12.0.?, $\ldots$ $[ ]$
330330.gd4 330330.gd \( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, 4247866714, -2754051582529884]$ \(y^2+xy=x^3+4247866714x-2754051582529884\) 2.3.0.a.1, 4.6.0.c.1, 70.6.0.a.1, 140.12.0.?, 220.12.0.?, $\ldots$ $[ ]$
436800.u4 436800.u \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 56170138367, -132426257594304863]$ \(y^2=x^3-x^2+56170138367x-132426257594304863\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 70.6.0.a.1, 140.12.0.?, $\ldots$ $[ ]$
436800.to4 436800.to \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $34.19619348$ $[0, 1, 0, 56170138367, 132426257594304863]$ \(y^2=x^3+x^2+56170138367x+132426257594304863\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 70.6.0.a.1, 140.12.0.?, $\ldots$ $[(1156883907511814882/1450463, 1751890430176046189072927325/1450463)]$
458640.bc4 458640.bc \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $47.04632170$ $[0, 0, 0, 247710310197, -1226399398183640198]$ \(y^2=x^3+247710310197x-1226399398183640198\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 70.6.0.a.1, 140.12.0.?, $\ldots$ $[(55670489895842163084317/101987989, 13139482957061834616977312151401088/101987989)]$
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