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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 58 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
480249.a1 480249.a \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $0.631667707$ $[0, 0, 1, -53361, 5135996]$ \(y^2+y=x^3-53361x+5135996\) 22.2.0.a.1 $[(462, 8893), (-77, 2964)]$
480249.b1 480249.b \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $9.246299452$ $[0, 0, 1, -160083, -126345508]$ \(y^2+y=x^3-160083x-126345508\) 22.2.0.a.1 $[(616, 2964), (763, 13989)]$
480249.c1 480249.c \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $3.306161148$ $[1, -1, 1, -528363947, 4673253740950]$ \(y^2+xy+y=x^3-x^2-528363947x+4673253740950\) 154.2.0.? $[(16382, 635105)]$
480249.d1 480249.d \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $37.41404084$ $[1, -1, 1, -1027822907, -12682796241860]$ \(y^2+xy+y=x^3-x^2-1027822907x-12682796241860\) 28.2.0.a.1 $[(356093528991437444/3101255, 3126940334218604883831437/3101255)]$
480249.e1 480249.e \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, 1670866, -248101136]$ \(y^2+xy+y=x^3-x^2+1670866x-248101136\) 22.2.0.a.1 $[ ]$
480249.f1 480249.f \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.669192372$ $[1, -1, 1, -36686, 7071166]$ \(y^2+xy+y=x^3-x^2-36686x+7071166\) 4.2.0.a.1, 168.4.0.? $[(212, 2858)]$
480249.g1 480249.g \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $3.462338033$ $[1, -1, 1, -2011043, 1099477558]$ \(y^2+xy+y=x^3-x^2-2011043x+1099477558\) 7.8.0.a.1, 14.16.0-7.a.1.1, 22.2.0.a.1, 63.24.0.b.2, 77.16.0.?, $\ldots$ $[(-1636, 3782)]$
480249.g2 480249.g \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $24.23636623$ $[1, -1, 1, 5192692, -70540226270]$ \(y^2+xy+y=x^3-x^2+5192692x-70540226270\) 7.8.0.a.1, 14.16.0-7.a.1.2, 22.2.0.a.1, 63.24.0.b.1, 77.16.0.?, $\ldots$ $[(1408256242562/19441, 154879377460128974/19441)]$
480249.h1 480249.h \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -54473, 1711350]$ \(y^2+xy+y=x^3-x^2-54473x+1711350\) 44.2.0.a.1 $[ ]$
480249.i1 480249.i \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -20598458, 35988381608]$ \(y^2+xy+y=x^3-x^2-20598458x+35988381608\) 2.2.0.a.1, 7.8.0.a.1, 14.48.0.a.1, 28.96.2.e.1, 44.4.0-2.a.1.1, $\ldots$ $[ ]$
480249.i2 480249.i \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -54473, -4680112]$ \(y^2+xy+y=x^3-x^2-54473x-4680112\) 2.2.0.a.1, 7.8.0.a.1, 14.48.0.a.1, 28.96.2.e.2, 44.4.0-2.a.1.1, $\ldots$ $[ ]$
480249.j1 480249.j \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $13.25250501$ $[1, -1, 1, 390202, -149169842]$ \(y^2+xy+y=x^3-x^2+390202x-149169842\) 4.2.0.a.1, 56.4.0-4.a.1.1 $[(1944944/65, 3041868517/65)]$
480249.k1 480249.k \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $4.090870307$ $[1, -1, 1, -213960935, -1203912498302]$ \(y^2+xy+y=x^3-x^2-213960935x-1203912498302\) 5.10.0.a.1, 35.20.0.a.1, 110.20.0.?, 154.2.0.?, 770.40.1.? $[(-8324, 21041)]$
480249.l1 480249.l \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $3.209976524$ $[1, -1, 1, -31835, 2035828]$ \(y^2+xy+y=x^3-x^2-31835x+2035828\) 28.2.0.a.1 $[(184, 1451), (4, 1379)]$
480249.m1 480249.m \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $4.494682228$ $[1, -1, 1, -8735, -289264]$ \(y^2+xy+y=x^3-x^2-8735x-289264\) 28.2.0.a.1 $[(184, 1983)]$
480249.n1 480249.n \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.659931182$ $[1, -1, 1, -250130, 11233324]$ \(y^2+xy+y=x^3-x^2-250130x+11233324\) 154.2.0.? $[(982, 26189)]$
480249.o1 480249.o \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $10.15016964$ $[1, -1, 1, -428000, 100073460]$ \(y^2+xy+y=x^3-x^2-428000x+100073460\) 28.2.0.a.1 $[(8334/7, 1916319/7)]$
480249.p1 480249.p \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -650, -5750]$ \(y^2+xy+y=x^3-x^2-650x-5750\) 28.2.0.a.1 $[ ]$
480249.q1 480249.q \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $2.250366611$ $[1, -1, 1, -4366550, 3511196560]$ \(y^2+xy+y=x^3-x^2-4366550x+3511196560\) 5.10.0.a.1, 35.20.0.a.1, 110.20.0.?, 154.2.0.?, 770.40.1.? $[(11995/3, 186968/3)]$
480249.r1 480249.r \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $3.529101351$ $[1, -1, 1, -1112, -1383588]$ \(y^2+xy+y=x^3-x^2-1112x-1383588\) 4.2.0.a.1, 88.4.0.? $[(300, 4871)]$
480249.s1 480249.s \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $23.29578054$ $[1, -1, 1, -420377, -104802288]$ \(y^2+xy+y=x^3-x^2-420377x-104802288\) 2.2.0.a.1, 7.8.0.a.1, 14.48.0.a.1, 28.96.2.e.1, 63.24.0.b.2, $\ldots$ $[(-1134136259040/55061, 31117903097059843/55061)]$
480249.s2 480249.s \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $3.327968649$ $[1, -1, 1, -1112, 13962]$ \(y^2+xy+y=x^3-x^2-1112x+13962\) 2.2.0.a.1, 7.8.0.a.1, 14.48.0.a.1, 28.96.2.e.2, 63.24.0.b.1, $\ldots$ $[(6, 83)]$
480249.t1 480249.t \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $1.122522930$ $[1, -1, 1, -1112, -4672]$ \(y^2+xy+y=x^3-x^2-1112x-4672\) 44.2.0.a.1 $[(-8, 64)]$
480249.u1 480249.u \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $5.735427165$ $[1, -1, 1, 870451, 932350906]$ \(y^2+xy+y=x^3-x^2+870451x+932350906\) 308.2.0.? $[(-373/2, 233657/2)]$
480249.v1 480249.v \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $4.820976439$ $[1, -1, 1, -2729, 143938]$ \(y^2+xy+y=x^3-x^2-2729x+143938\) 4.2.0.a.1, 616.4.0.? $[(842, 23956)]$
480249.w1 480249.w \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -943823, -352688696]$ \(y^2+xy+y=x^3-x^2-943823x-352688696\) 28.2.0.a.1 $[ ]$
480249.x1 480249.x \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $8.710756169$ $[1, -1, 1, -32871488, 72548101574]$ \(y^2+xy+y=x^3-x^2-32871488x+72548101574\) 154.2.0.? $[(-2006, 362130)]$
480249.y1 480249.y \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $3.073928266$ $[0, 0, 1, -213444, 38006372]$ \(y^2+y=x^3-213444x+38006372\) 3.4.0.a.1, 22.2.0.a.1, 42.8.0-3.a.1.2, 66.8.0.a.1, 231.8.0.?, $\ldots$ $[(154, 2964), (2233/2, 77073/2)]$
480249.y2 480249.y \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $3.073928266$ $[0, 0, 1, 320166, 181814267]$ \(y^2+y=x^3+320166x+181814267\) 3.4.0.a.1, 22.2.0.a.1, 42.8.0-3.a.1.1, 66.8.0.a.1, 231.8.0.?, $\ldots$ $[(4389, 293485), (2233, 109686)]$
480249.z1 480249.z \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $33.29753409$ $[0, 0, 1, -1920996, -1026172051]$ \(y^2+y=x^3-1920996x-1026172051\) 3.4.0.a.1, 22.2.0.a.1, 42.8.0-3.a.1.1, 66.8.0.a.1, 231.8.0.?, $\ldots$ $[(1561476614059033/759483, 51110061498313313743243/759483)]$
480249.z2 480249.z \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $11.09917803$ $[0, 0, 1, 35574, -6733862]$ \(y^2+y=x^3+35574x-6733862\) 3.4.0.a.1, 22.2.0.a.1, 42.8.0-3.a.1.2, 66.8.0.a.1, 231.8.0.?, $\ldots$ $[(365302/27, 230305814/27)]$
480249.ba1 480249.ba \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $8.167399949$ $[1, -1, 0, -8494404, 9531089189]$ \(y^2+xy=x^3-x^2-8494404x+9531089189\) 28.2.0.a.1 $[(-1492, 138157)]$
480249.bb1 480249.bb \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $5.440107507$ $[1, -1, 0, -295843389, -1958502899116]$ \(y^2+xy=x^3-x^2-295843389x-1958502899116\) 154.2.0.? $[(22388, 1613352)]$
480249.bc1 480249.bc \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $2.794277404$ $[1, -1, 0, -303, -5230]$ \(y^2+xy=x^3-x^2-303x-5230\) 4.2.0.a.1, 1848.4.0.? $[(226, 3268)]$
480249.bd1 480249.bd \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 96717, -34563754]$ \(y^2+xy=x^3-x^2+96717x-34563754\) 308.2.0.? $[ ]$
480249.be1 480249.be \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -3783390, 2833445159]$ \(y^2+xy=x^3-x^2-3783390x+2833445159\) 2.2.0.a.1, 7.8.0.a.1, 14.48.0.a.1, 28.96.2.e.1, 63.24.0.b.2, $\ldots$ $[ ]$
480249.be2 480249.be \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -10005, -366976]$ \(y^2+xy=x^3-x^2-10005x-366976\) 2.2.0.a.1, 7.8.0.a.1, 14.48.0.a.1, 28.96.2.e.2, 63.24.0.b.1, $\ldots$ $[ ]$
480249.bf1 480249.bf \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $7.776532448$ $[1, -1, 0, -10005, 37366874]$ \(y^2+xy=x^3-x^2-10005x+37366874\) 4.2.0.a.1, 264.4.0.? $[(-3274/7, 2118432/7)]$
480249.bg1 480249.bg \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $2.797411964$ $[1, -1, 0, -10005, 136142]$ \(y^2+xy=x^3-x^2-10005x+136142\) 44.2.0.a.1 $[(146, 1258)]$
480249.bh1 480249.bh \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $8.273460246$ $[1, -1, 0, -23773437, 44597276268]$ \(y^2+xy=x^3-x^2-23773437x+44597276268\) 5.10.0.a.1, 35.20.0.a.1, 110.20.0.?, 154.2.0.?, 770.40.1.? $[(1668472/23, 362391154/23)]$
480249.bi1 480249.bi \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $6.997723565$ $[1, -1, 0, -78612, 7888733]$ \(y^2+xy=x^3-x^2-78612x+7888733\) 28.2.0.a.1 $[(212, 741), (-148, 4107)]$
480249.bj1 480249.bj \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $7.371493641$ $[1, -1, 0, -3537, -74222]$ \(y^2+xy=x^3-x^2-3537x-74222\) 28.2.0.a.1 $[(19758/17, -155252/17)]$
480249.bk1 480249.bk \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $5.386283699$ $[1, -1, 0, -27792, -406785]$ \(y^2+xy=x^3-x^2-27792x-406785\) 154.2.0.? $[(-158, 225)]$
480249.bl1 480249.bl \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $1.693646551$ $[1, -1, 0, -72, 237]$ \(y^2+xy=x^3-x^2-72x+237\) 28.2.0.a.1 $[(4, -1)]$
480249.bm1 480249.bm \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -3851997, -2698131430]$ \(y^2+xy=x^3-x^2-3851997x-2698131430\) 28.2.0.a.1 $[ ]$
480249.bn1 480249.bn \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $14.68989121$ $[1, -1, 0, -485172, -129882593]$ \(y^2+xy=x^3-x^2-485172x-129882593\) 5.10.0.a.1, 35.20.0.a.1, 110.20.0.?, 154.2.0.?, 770.40.1.? $[(-7013046/133, 25807825/133)]$
480249.bo1 480249.bo \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -223449, -40646908]$ \(y^2+xy=x^3-x^2-223449x-40646908\) 7.8.0.a.1, 22.2.0.a.1, 42.16.0-7.a.1.1, 63.24.0.b.2, 126.48.0.?, $\ldots$ $[ ]$
480249.bo2 480249.bo \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 576966, 2612408651]$ \(y^2+xy=x^3-x^2+576966x+2612408651\) 7.8.0.a.1, 22.2.0.a.1, 42.16.0-7.a.1.2, 63.24.0.b.1, 126.48.0.?, $\ldots$ $[ ]$
480249.bp1 480249.bp \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -490254, -45716203]$ \(y^2+xy=x^3-x^2-490254x-45716203\) 44.2.0.a.1 $[ ]$
480249.bq1 480249.bq \( 3^{4} \cdot 7^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $95.67397042$ $[1, -1, 0, -185386119, -971500917304]$ \(y^2+xy=x^3-x^2-185386119x-971500917304\) 2.2.0.a.1, 7.8.0.a.1, 14.48.0.a.1, 28.96.2.e.1, 63.24.0.b.2, $\ldots$ $[(-412276183129096202607882678096632127083827484/229011502074204734799, 47150694203757740588677899046700934358965968087491428196991556194/229011502074204734799)]$
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