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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 108 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
52272.a1 52272.a \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $1.321386973$ $[0, 0, 0, -1452, 26620]$ \(y^2=x^3-1452x+26620\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 $[(33, 121)]$
52272.b1 52272.b \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $1.129397610$ $[0, 0, 0, 3993, -146410]$ \(y^2=x^3+3993x-146410\) 6.2.0.a.1 $[(121, 1452), (242, 3872)]$
52272.c1 52272.c \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.460819177$ $[0, 0, 0, -627, 6050]$ \(y^2=x^3-627x+6050\) 4.4.0.a.1, 132.8.0.? $[(11, 22)]$
52272.d1 52272.d \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $7.530327597$ $[0, 0, 0, -75867, -8052550]$ \(y^2=x^3-75867x-8052550\) 4.4.0.a.1, 132.8.0.? $[(132011/5, 47897366/5)]$
52272.e1 52272.e \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $0.851747534$ $[0, 0, 0, 33, 110]$ \(y^2=x^3+33x+110\) 6.2.0.a.1 $[(1, 12), (-2, 6)]$
52272.f1 52272.f \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $1.128490455$ $[0, 0, 0, -8027019, 8753462586]$ \(y^2=x^3-8027019x+8753462586\) 3.4.0.a.1, 24.8.0-3.a.1.5, 132.8.0.?, 264.16.0.? $[(1639, 242)]$
52272.f2 52272.f \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $3.385471365$ $[0, 0, 0, -6197499, 12846830634]$ \(y^2=x^3-6197499x+12846830634\) 3.4.0.a.1, 24.8.0-3.a.1.6, 132.8.0.?, 264.16.0.? $[(-737, 130438)]$
52272.g1 52272.g \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.221250330$ $[0, 0, 0, -2739, 55154]$ \(y^2=x^3-2739x+55154\) 3.4.0.a.1, 24.8.0.c.1, 132.8.0.?, 264.16.0.? $[(25, 48)]$
52272.g2 52272.g \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.663750991$ $[0, 0, 0, -99, -286]$ \(y^2=x^3-99x-286\) 3.4.0.a.1, 24.8.0.c.1, 132.8.0.?, 264.16.0.? $[(-7, 8)]$
52272.h1 52272.h \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $2.797694005$ $[0, 0, 0, -6720219, -6705197334]$ \(y^2=x^3-6720219x-6705197334\) 24.2.0.a.1 $[(-1503, 36)]$
52272.i1 52272.i \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -55539, -5103054]$ \(y^2=x^3-55539x-5103054\) 3.4.0.a.1, 9.36.0.d.2, 24.8.0.d.1, 72.72.3.?, 132.8.0.?, $\ldots$ $[ ]$
52272.i2 52272.i \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -26499, 2201474]$ \(y^2=x^3-26499x+2201474\) 3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 132.8.0.?, $\ldots$ $[ ]$
52272.i3 52272.i \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 2541, -34606]$ \(y^2=x^3+2541x-34606\) 3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 132.24.0.?, $\ldots$ $[ ]$
52272.j1 52272.j \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.617897011$ $[0, 0, 0, -99, -1694]$ \(y^2=x^3-99x-1694\) 3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? $[(33, 176)]$
52272.k1 52272.k \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $3.253464326$ $[0, 0, 0, -11979, 2254714]$ \(y^2=x^3-11979x+2254714\) 3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? $[(1815, 77198)]$
52272.l1 52272.l \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $1.004061511$ $[0, 0, 0, -55539, 5037714]$ \(y^2=x^3-55539x+5037714\) 24.2.0.a.1 $[(135, 18)]$
52272.m1 52272.m \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $3.931980067$ $[0, 0, 0, -331419, -73409974]$ \(y^2=x^3-331419x-73409974\) 3.4.0.a.1, 12.8.0-3.a.1.1, 24.16.0-24.c.1.3 $[(-337, 74)]$
52272.m2 52272.m \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $1.310660022$ $[0, 0, 0, -11979, 380666]$ \(y^2=x^3-11979x+380666\) 3.4.0.a.1, 12.8.0-3.a.1.2, 24.16.0-24.c.1.7 $[(-121, 242)]$
52272.n1 52272.n \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 2541, 7986]$ \(y^2=x^3+2541x+7986\) 264.2.0.? $[ ]$
52272.o1 52272.o \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $1.493325211$ $[0, 0, 0, 22869, -1365606]$ \(y^2=x^3+22869x-1365606\) 132.2.0.? $[(55, 242)]$
52272.p1 52272.p \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $5.037291417$ $[0, 0, 0, -7986, 278179]$ \(y^2=x^3-7986x+278179\) 6.2.0.a.1 $[(201/2, 491/2)]$
52272.q1 52272.q \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.986387226$ $[0, 0, 0, -296571, 414907306]$ \(y^2=x^3-296571x+414907306\) 132.2.0.? $[(1991, 87846)]$
52272.r1 52272.r \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 2904, -165044]$ \(y^2=x^3+2904x-165044\) 6.2.0.a.1 $[ ]$
52272.s1 52272.s \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $1.509614989$ $[0, 0, 0, 8349, -1457566]$ \(y^2=x^3+8349x-1457566\) 6.2.0.a.1 $[(529, 12288)]$
52272.t1 52272.t \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.993810523$ $[0, 0, 0, -107811, 15021666]$ \(y^2=x^3-107811x+15021666\) 6.6.0.b.1 $[(121, 1936)]$
52272.u1 52272.u \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $2.614017849$ $[0, 0, 0, -891, -11286]$ \(y^2=x^3-891x-11286\) 6.6.0.b.1 $[(37, 80)]$
52272.v1 52272.v \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $4.013146906$ $[0, 0, 0, 1010229, 1940020346]$ \(y^2=x^3+1010229x+1940020346\) 6.2.0.a.1 $[(6469, 528384)]$
52272.w1 52272.w \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -35211, 2680634]$ \(y^2=x^3-35211x+2680634\) 132.2.0.? $[ ]$
52272.x1 52272.x \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $8.143464904$ $[0, 0, 0, -156816, 24724656]$ \(y^2=x^3-156816x+24724656\) 6.2.0.a.1 $[(41305/13, 2194093/13)]$
52272.y1 52272.y \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $6.442225601$ $[0, 0, 0, -66, -209]$ \(y^2=x^3-66x-209\) 6.2.0.a.1 $[(609/2, 15007/2)]$
52272.z1 52272.z \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2120283, 821447946]$ \(y^2=x^3-2120283x+821447946\) 24.2.0.a.1 $[ ]$
52272.ba1 52272.ba \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -17523, -617166]$ \(y^2=x^3-17523x-617166\) 24.2.0.a.1 $[ ]$
52272.bb1 52272.bb \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -363, -45254]$ \(y^2=x^3-363x-45254\) 24.2.0.b.1 $[ ]$
52272.bc1 52272.bc \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $2.255861300$ $[0, 0, 0, -160083, 25946514]$ \(y^2=x^3-160083x+25946514\) 264.2.0.? $[(-143, 6776)]$
52272.bd1 52272.bd \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $-3$ $8.935143130$ $[0, 0, 0, 0, -14641]$ \(y^2=x^3-14641\) $[(7033/6, 589229/6)]$
52272.bd2 52272.bd \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $-3$ $2.978381043$ $[0, 0, 0, 0, 395307]$ \(y^2=x^3+395307\) $[(121/2, 5203/2)]$
52272.be1 52272.be \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $-3$ $12.68842164$ $[0, 0, 0, 0, -17393508]$ \(y^2=x^3-17393508\) $[(643954/5, 516751858/5)]$
52272.be2 52272.be \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $-3$ $4.229473880$ $[0, 0, 0, 0, 644204]$ \(y^2=x^3+644204\) $[(-10, 802)]$
52272.bf1 52272.bf \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -41580, 3263436]$ \(y^2=x^3-41580x+3263436\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 $[ ]$
52272.bg1 52272.bg \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -4620, -120868]$ \(y^2=x^3-4620x-120868\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 $[ ]$
52272.bh1 52272.bh \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $[0, 0, 0, 0, -4752]$ \(y^2=x^3-4752\) $[ ]$
52272.bh2 52272.bh \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $[0, 0, 0, 0, 176]$ \(y^2=x^3+176\) $[ ]$
52272.bi1 52272.bi \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 19965, 6119938]$ \(y^2=x^3+19965x+6119938\) 3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? $[ ]$
52272.bj1 52272.bj \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $3.774862493$ $[0, 0, 0, 179685, -165238326]$ \(y^2=x^3+179685x-165238326\) 3.6.0.b.1, 4.4.0.a.1, 12.48.1.q.1, 33.12.0.a.1, 132.96.5.? $[(13431, 1557270)]$
52272.bk1 52272.bk \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $-27$ $27.23659680$ $[0, 0, 0, -522720, -145472976]$ \(y^2=x^3-522720x-145472976\) $[(6403117707481/49229, 15517679956898097275/49229)]$
52272.bk2 52272.bk \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $-27$ $1.008762844$ $[0, 0, 0, -58080, 5387888]$ \(y^2=x^3-58080x+5387888\) $[(121, 363)]$
52272.bk3 52272.bk \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $-3$ $9.078865602$ $[0, 0, 0, 0, -574992]$ \(y^2=x^3-574992\) $[(76153/19, 20361275/19)]$
52272.bk4 52272.bk \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $-3$ $3.026288534$ $[0, 0, 0, 0, 21296]$ \(y^2=x^3+21296\) $[(209, 3025)]$
52272.bl1 52272.bl \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $0.861689233$ $[0, 0, 0, -1815, 29766]$ \(y^2=x^3-1815x+29766\) 6.2.0.a.1 $[(22, 22), (25, 4)]$
52272.bm1 52272.bm \( 2^{4} \cdot 3^{3} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -16335, -803682]$ \(y^2=x^3-16335x-803682\) 6.2.0.a.1 $[ ]$
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