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The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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Results (1-50 of 444 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
227136.a1 227136.a \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -7841825, -5917848639]$ \(y^2=x^3-x^2-7841825x-5917848639\) 168.2.0.? $[ ]$
227136.b1 227136.b \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $8.972599763$ $[0, -1, 0, -63600, 4882266]$ \(y^2=x^3-x^2-63600x+4882266\) 2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? $[(89197/18, 16661879/18)]$
227136.b2 227136.b \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $4.486299881$ $[0, -1, 0, 141735, 29727801]$ \(y^2=x^3-x^2+141735x+29727801\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? $[(880, 28899)]$
227136.c1 227136.c \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2037845, -1119027339]$ \(y^2=x^3-x^2-2037845x-1119027339\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$ $[ ]$
227136.c2 227136.c \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2016785, -1143309519]$ \(y^2=x^3-x^2-2016785x-1143309519\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 48.24.0.l.1, 52.12.0.l.1, $\ldots$ $[ ]$
227136.d1 227136.d \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.743788451$ $[0, -1, 0, -225, -1119]$ \(y^2=x^3-x^2-225x-1119\) 168.2.0.? $[(-7, 8)]$
227136.e1 227136.e \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -3175397, 3110898621]$ \(y^2=x^3-x^2-3175397x+3110898621\) 182.2.0.? $[ ]$
227136.f1 227136.f \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $3.020958735$ $[0, -1, 0, 15323, 898429]$ \(y^2=x^3-x^2+15323x+898429\) 182.2.0.? $[(724, 19773)]$
227136.g1 227136.g \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -158747, -125817771]$ \(y^2=x^3-x^2-158747x-125817771\) 182.2.0.? $[ ]$
227136.h1 227136.h \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -216504097, 1372148819521]$ \(y^2=x^3-x^2-216504097x+1372148819521\) 4.8.0.b.1, 8.16.0-4.b.1.1 $[ ]$
227136.i1 227136.i \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $140.6564682$ $[0, -1, 0, -74954540197, -7898640708024899]$ \(y^2=x^3-x^2-74954540197x-7898640708024899\) 182.2.0.? $[(2500525304051374959877716775868707775624670278171118774452821978252/1982054868635889160075000686199, 3501899752706923689815228130596824248807534531156236607122971606640526389599884900777221480935260081/1982054868635889160075000686199)]$
227136.j1 227136.j \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $1.266129087$ $[0, -1, 0, -132552, 18632106]$ \(y^2=x^3-x^2-132552x+18632106\) 4.2.0.a.1, 28.4.0-4.a.1.1 $[(621/2, 10647/2), (451, 7098)]$
227136.k1 227136.k \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $1.048639286$ $[0, -1, 0, -1057, -28991]$ \(y^2=x^3-x^2-1057x-28991\) 2184.2.0.? $[(45, 112), (269, 4368)]$
227136.l1 227136.l \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.602564403$ $[0, -1, 0, -16787, 2958201]$ \(y^2=x^3-x^2-16787x+2958201\) 182.2.0.? $[(360, 6591)]$
227136.m1 227136.m \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.881952193$ $[0, -1, 0, -43468377, 110322806931]$ \(y^2=x^3-x^2-43468377x+110322806931\) 5.6.0.a.1, 65.12.0.a.1, 70.12.0.a.1, 182.2.0.?, 520.24.0.?, $\ldots$ $[(3662, 15379)]$
227136.m2 227136.m \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $4.409760966$ $[0, -1, 0, 32223, 25374699]$ \(y^2=x^3-x^2+32223x+25374699\) 5.6.0.a.1, 65.12.0.a.2, 70.12.0.a.2, 182.2.0.?, 520.24.0.?, $\ldots$ $[(3662, 221897)]$
227136.n1 227136.n \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $0.442311435$ $[0, -1, 0, -75937, 17485441]$ \(y^2=x^3-x^2-75937x+17485441\) 2184.2.0.? $[(-69, 4732), (477, 9464)]$
227136.o1 227136.o \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.610676194$ $[0, -1, 0, -1022337, -736795359]$ \(y^2=x^3-x^2-1022337x-736795359\) 4.8.0.b.1, 8.16.0-4.b.1.1 $[(1296, 10647)]$
227136.p1 227136.p \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $15.60645617$ $[0, -1, 0, -754017, -251760159]$ \(y^2=x^3-x^2-754017x-251760159\) 5.6.0.a.1, 65.12.0.a.2, 520.24.0.?, 840.12.0.?, 2184.2.0.?, $\ldots$ $[(29258915/167, 49025717468/167)]$
227136.p2 227136.p \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $3.121291235$ $[0, -1, 0, 1554783, -1303866591]$ \(y^2=x^3-x^2+1554783x-1303866591\) 5.6.0.a.1, 65.12.0.a.1, 520.24.0.?, 840.12.0.?, 2184.2.0.?, $\ldots$ $[(659, 2548)]$
227136.q1 227136.q \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.469275555$ $[0, -1, 0, -6971137, 7126112161]$ \(y^2=x^3-x^2-6971137x+7126112161\) 2184.2.0.? $[(1920, 28561)]$
227136.r1 227136.r \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -18984, -976626]$ \(y^2=x^3-x^2-18984x-976626\) 2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.? $[ ]$
227136.r2 227136.r \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 3831, -3198807]$ \(y^2=x^3-x^2+3831x-3198807\) 2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? $[ ]$
227136.s1 227136.s \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $18.08120802$ $[0, -1, 0, -102362849, -398588245407]$ \(y^2=x^3-x^2-102362849x-398588245407\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 24.24.0-8.n.1.3, $\ldots$ $[(1242195211/323, 8942096400380/323)]$
227136.s2 227136.s \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $9.040604013$ $[0, -1, 0, -6397889, -6225909951]$ \(y^2=x^3-x^2-6397889x-6225909951\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 24.48.0-24.i.2.15, 56.48.0-56.h.1.7, $\ldots$ $[(-36536/5, 106913/5)]$
227136.s3 227136.s \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $18.08120802$ $[0, -1, 0, -5830049, -7376694495]$ \(y^2=x^3-x^2-5830049x-7376694495\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 24.24.0.bz.1, $\ldots$ $[(57790504/95, 400137776267/95)]$
227136.s4 227136.s \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.520302006$ $[0, -1, 0, -435569, -78758031]$ \(y^2=x^3-x^2-435569x-78758031\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 24.48.0-24.i.1.14, 52.24.0.c.1, $\ldots$ $[(-488, 4165)]$
227136.s5 227136.s \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.260151003$ $[0, -1, 0, -161789, 24128493]$ \(y^2=x^3-x^2-161789x+24128493\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 26.6.0.b.1, 48.48.0-48.e.2.30, $\ldots$ $[(188, 567)]$
227136.s6 227136.s \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $9.040604013$ $[0, -1, 0, 1146271, -520724127]$ \(y^2=x^3-x^2+1146271x-520724127\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 24.48.0-24.bz.2.16, 52.12.0.h.1, $\ldots$ $[(205339/5, 93786212/5)]$
227136.t1 227136.t \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -25858369, -12506158367]$ \(y^2=x^3-x^2-25858369x-12506158367\) 168.2.0.? $[ ]$
227136.u1 227136.u \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -17403169, 23422893025]$ \(y^2=x^3-x^2-17403169x+23422893025\) 168.2.0.? $[ ]$
227136.v1 227136.v \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -865089, 309876033]$ \(y^2=x^3-x^2-865089x+309876033\) 2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.c.1, 65.12.0.a.1, $\ldots$ $[ ]$
227136.v2 227136.v \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -731969, 408358209]$ \(y^2=x^3-x^2-731969x+408358209\) 2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ $[ ]$
227136.v3 227136.v \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -28929, -1881855]$ \(y^2=x^3-x^2-28929x-1881855\) 2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.c.2, 65.12.0.a.2, $\ldots$ $[ ]$
227136.v4 227136.v \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -20609, -2995071]$ \(y^2=x^3-x^2-20609x-2995071\) 2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.2, 65.12.0.a.2, $\ldots$ $[ ]$
227136.w1 227136.w \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $3.365004323$ $[0, -1, 0, 191, -32735]$ \(y^2=x^3-x^2+191x-32735\) 168.2.0.? $[(117, 1256)]$
227136.x1 227136.x \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -97901249, 372879470625]$ \(y^2=x^3-x^2-97901249x+372879470625\) 168.2.0.? $[ ]$
227136.y1 227136.y \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -14536929, -21328409727]$ \(y^2=x^3-x^2-14536929x-21328409727\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 28.12.0.h.1, $\ldots$ $[ ]$
227136.y2 227136.y \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -9886049, 11852590593]$ \(y^2=x^3-x^2-9886049x+11852590593\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 52.12.0-4.c.1.2, 104.96.0.?, $\ldots$ $[ ]$
227136.y3 227136.y \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -1125089, -162189951]$ \(y^2=x^3-x^2-1125089x-162189951\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 52.24.0-4.b.1.2, 56.96.1.bp.2, $\ldots$ $[ ]$
227136.y4 227136.y \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -908769, -332866431]$ \(y^2=x^3-x^2-908769x-332866431\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 28.24.0.c.1, 56.96.1.by.1, $\ldots$ $[ ]$
227136.y5 227136.y \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -43489, -7694207]$ \(y^2=x^3-x^2-43489x-7694207\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.z.1, $\ldots$ $[ ]$
227136.y6 227136.y \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 4174751, -1257136895]$ \(y^2=x^3-x^2+4174751x-1257136895\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 52.12.0-4.c.1.1, $\ldots$ $[ ]$
227136.z1 227136.z \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -21161729, 37468729089]$ \(y^2=x^3-x^2-21161729x+37468729089\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 56.12.0-4.c.1.2, 104.12.0.?, $\ldots$ $[ ]$
227136.z2 227136.z \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -1476609, 441018369]$ \(y^2=x^3-x^2-1476609x+441018369\) 2.6.0.a.1, 12.12.0.b.1, 56.12.0-2.a.1.1, 104.12.0.?, 168.24.0.?, $\ldots$ $[ ]$
227136.z3 227136.z \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -611329, -178695167]$ \(y^2=x^3-x^2-611329x-178695167\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 56.12.0-4.c.1.1, 104.12.0.?, $\ldots$ $[ ]$
227136.z4 227136.z \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 4364031, 3061129473]$ \(y^2=x^3-x^2+4364031x+3061129473\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0-4.c.1.4, $\ldots$ $[ ]$
227136.ba1 227136.ba \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $3.257355246$ $[0, -1, 0, -151649, -22679775]$ \(y^2=x^3-x^2-151649x-22679775\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0.ba.1, 104.12.0.?, $\ldots$ $[(-224, 1)]$
227136.ba2 227136.ba \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.628677623$ $[0, -1, 0, -9689, -335271]$ \(y^2=x^3-x^2-9689x-335271\) 2.6.0.a.1, 24.12.0.a.1, 28.12.0.a.1, 104.12.0.?, 156.12.0.?, $\ldots$ $[(-56, 169)]$
227136.ba3 227136.ba \( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $3.257355246$ $[0, -1, 0, -2084, 31290]$ \(y^2=x^3-x^2-2084x+31290\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0.h.1, 104.12.0.?, $\ldots$ $[(71, 486)]$
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