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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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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
446490.a1 446490.a \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -855465, -304718419]$ \(y^2+xy=x^3-x^2-855465x-304718419\) 440.2.0.? $[ ]$
446490.b1 446490.b \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -131610, -9011700]$ \(y^2+xy=x^3-x^2-131610x-9011700\) 2.3.0.a.1, 264.6.0.?, 2460.6.0.?, 18040.6.0.?, 54120.12.0.? $[ ]$
446490.b2 446490.b \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 28110, -1057644]$ \(y^2+xy=x^3-x^2+28110x-1057644\) 2.3.0.a.1, 264.6.0.?, 1230.6.0.?, 18040.6.0.?, 54120.12.0.? $[ ]$
446490.c1 446490.c \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\Z/2\Z$ $3.197221653$ $[1, -1, 0, -743076450, 7796618752500]$ \(y^2+xy=x^3-x^2-743076450x+7796618752500\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 264.24.0.?, $\ldots$ $[(76275/2, 5913225/2)]$
446490.c2 446490.c \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\Z/2\Z$ $12.78888661$ $[1, -1, 0, -154493730, -601336577484]$ \(y^2+xy=x^3-x^2-154493730x-601336577484\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 264.24.0.?, $\ldots$ $[(-860181/10, 306088833/10)]$
446490.c3 446490.c \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.394443306$ $[1, -1, 0, -47336130, 116897952276]$ \(y^2+xy=x^3-x^2-47336130x+116897952276\) 2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 264.24.0.?, 1640.12.0.?, $\ldots$ $[(-26973/2, 2905173/2)]$
446490.c4 446490.c \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\Z/2\Z$ $12.78888661$ $[1, -1, 0, 2844990, 8115320340]$ \(y^2+xy=x^3-x^2+2844990x+8115320340\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 264.24.0.?, $\ldots$ $[(-1242927/32, 1776169737/32)]$
446490.d1 446490.d \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $2$ $\mathsf{trivial}$ $1.513904555$ $[1, -1, 0, -1777815, 1418097181]$ \(y^2+xy=x^3-x^2-1777815x+1418097181\) 984.2.0.? $[(-7, 37826), (-1237, 42131)]$
446490.e1 446490.e \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 280395, 10164501]$ \(y^2+xy=x^3-x^2+280395x+10164501\) 18040.2.0.? $[ ]$
446490.f1 446490.f \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -302220, -67968950]$ \(y^2+xy=x^3-x^2-302220x-67968950\) 328.2.0.? $[ ]$
446490.g1 446490.g \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -5424175620, -153760165236144]$ \(y^2+xy=x^3-x^2-5424175620x-153760165236144\) 2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 132.12.0.?, $\ldots$ $[ ]$
446490.g2 446490.g \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -971995140, 8667440542800]$ \(y^2+xy=x^3-x^2-971995140x+8667440542800\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 132.12.0.?, 492.12.0.?, $\ldots$ $[ ]$
446490.g3 446490.g \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -343337220, -2337970736304]$ \(y^2+xy=x^3-x^2-343337220x-2337970736304\) 2.6.0.a.1, 20.12.0.b.1, 132.12.0.?, 492.12.0.?, 660.24.0.?, $\ldots$ $[ ]$
446490.g4 446490.g \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 13506300, -144025406640]$ \(y^2+xy=x^3-x^2+13506300x-144025406640\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 264.12.0.?, 492.12.0.?, $\ldots$ $[ ]$
446490.h1 446490.h \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 2700, 680400]$ \(y^2+xy=x^3-x^2+2700x+680400\) 328.2.0.? $[ ]$
446490.i1 446490.i \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -32775, -2311875]$ \(y^2+xy=x^3-x^2-32775x-2311875\) 3.4.0.a.1, 33.8.0-3.a.1.2, 984.8.0.?, 10824.16.0.? $[ ]$
446490.i2 446490.i \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 129585, -10945819]$ \(y^2+xy=x^3-x^2+129585x-10945819\) 3.4.0.a.1, 33.8.0-3.a.1.1, 984.8.0.?, 10824.16.0.? $[ ]$
446490.j1 446490.j \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 112260, -13319344]$ \(y^2+xy=x^3-x^2+112260x-13319344\) 18040.2.0.? $[ ]$
446490.k1 446490.k \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\Z/2\Z$ $5.169178502$ $[1, -1, 0, -13328475, 18701828261]$ \(y^2+xy=x^3-x^2-13328475x+18701828261\) 2.3.0.a.1, 8.6.0.d.1, 82.6.0.?, 328.12.0.? $[(2006, 4837)]$
446490.k2 446490.k \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\Z/2\Z$ $2.584589251$ $[1, -1, 0, -8972475, 31127753861]$ \(y^2+xy=x^3-x^2-8972475x+31127753861\) 2.3.0.a.1, 8.6.0.a.1, 164.6.0.?, 328.12.0.? $[(-3737, 113491)]$
446490.l1 446490.l \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -256185, -49844525]$ \(y^2+xy=x^3-x^2-256185x-49844525\) 2.3.0.a.1, 264.6.0.?, 4920.6.0.?, 9020.6.0.?, 54120.12.0.? $[ ]$
446490.l2 446490.l \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -15615, -816359]$ \(y^2+xy=x^3-x^2-15615x-816359\) 2.3.0.a.1, 264.6.0.?, 4510.6.0.?, 4920.6.0.?, 54120.12.0.? $[ ]$
446490.m1 446490.m \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1601575080, 24638872890176]$ \(y^2+xy=x^3-x^2-1601575080x+24638872890176\) 2.3.0.a.1, 8.6.0.f.1, 132.6.0.?, 264.12.0.? $[ ]$
446490.m2 446490.m \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -129595560, 139540155200]$ \(y^2+xy=x^3-x^2-129595560x+139540155200\) 2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.? $[ ]$
446490.n1 446490.n \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\Z/2\Z$ $4.371317094$ $[1, -1, 0, -3422205, 1181318661]$ \(y^2+xy=x^3-x^2-3422205x+1181318661\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ $[(-998, 60515)]$
446490.n2 446490.n \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\Z/2\Z$ $1.457105698$ $[1, -1, 0, -2904930, 1906412976]$ \(y^2+xy=x^3-x^2-2904930x+1906412976\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ $[(982, -612)]$
446490.n3 446490.n \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\Z/2\Z$ $8.742634189$ $[1, -1, 0, -1679805, -824880699]$ \(y^2+xy=x^3-x^2-1679805x-824880699\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 33.8.0-3.a.1.2, $\ldots$ $[(30093/4, 3244569/4)]$
446490.n4 446490.n \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\Z/2\Z$ $2.914211396$ $[1, -1, 0, -182430, 29521476]$ \(y^2+xy=x^3-x^2-182430x+29521476\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 33.8.0-3.a.1.1, $\ldots$ $[(-8, 5570)]$
446490.o1 446490.o \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $1.348977236$ $[1, -1, 0, 885, 115451]$ \(y^2+xy=x^3-x^2+885x+115451\) 18040.2.0.? $[(-19, 312)]$
446490.p1 446490.p \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $2.720920198$ $[1, -1, 0, -891435, -323608059]$ \(y^2+xy=x^3-x^2-891435x-323608059\) 120.2.0.? $[(-549, 582)]$
446490.q1 446490.q \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $2$ $\mathsf{trivial}$ $1.435951509$ $[1, -1, 0, 8145, 27121]$ \(y^2+xy=x^3-x^2+8145x+27121\) 27060.2.0.? $[(80, 1049), (36, 587)]$
446490.r1 446490.r \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/3\Z$ $1$ $[1, -1, 0, -324813330, 2253093699060]$ \(y^2+xy=x^3-x^2-324813330x+2253093699060\) 3.8.0-3.a.1.2, 120.16.0.? $[ ]$
446490.r2 446490.r \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -8567730, -5089632300]$ \(y^2+xy=x^3-x^2-8567730x-5089632300\) 3.8.0-3.a.1.1, 120.16.0.? $[ ]$
446490.s1 446490.s \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -3899885985, 93870563276925]$ \(y^2+xy=x^3-x^2-3899885985x+93870563276925\) 27060.2.0.? $[ ]$
446490.t1 446490.t \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -23369055, -43476194899]$ \(y^2+xy=x^3-x^2-23369055x-43476194899\) 4920.2.0.? $[ ]$
446490.u1 446490.u \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -43291157685, -3361838896778059]$ \(y^2+xy=x^3-x^2-43291157685x-3361838896778059\) 120.2.0.? $[ ]$
446490.v1 446490.v \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $1.154057540$ $[1, -1, 0, 895680, 409394200]$ \(y^2+xy=x^3-x^2+895680x+409394200\) 3.6.0.b.1, 33.12.0.a.1, 4920.12.0.?, 18040.2.0.?, 54120.24.1.? $[(333, 27119)]$
446490.w1 446490.w \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -3258855, 1143813501]$ \(y^2+xy=x^3-x^2-3258855x+1143813501\) 2.3.0.a.1, 66.6.0.a.1, 164.6.0.?, 5412.12.0.? $[ ]$
446490.w2 446490.w \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 11028825, 8456248125]$ \(y^2+xy=x^3-x^2+11028825x+8456248125\) 2.3.0.a.1, 132.6.0.?, 164.6.0.?, 5412.12.0.? $[ ]$
446490.x1 446490.x \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -29970, -4503724]$ \(y^2+xy=x^3-x^2-29970x-4503724\) 27060.2.0.? $[ ]$
446490.y1 446490.y \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -157050143190, -23950697891678244]$ \(y^2+xy=x^3-x^2-157050143190x-23950697891678244\) 120.2.0.? $[ ]$
446490.z1 446490.z \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $107.4133414$ $[1, -1, 0, -26766408510, -1685510810183700]$ \(y^2+xy=x^3-x^2-26766408510x-1685510810183700\) 3.4.0.a.1, 33.8.0-3.a.1.2, 4920.8.0.?, 54120.16.0.? $[(1292312230744336940941988728182572695932043277781/2609673494123040881276, 144840233850337438943725143339833092875896574532684298016638149457579145/2609673494123040881276)]$
446490.z2 446490.z \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $35.80444714$ $[1, -1, 0, -330252885, -2314901348325]$ \(y^2+xy=x^3-x^2-330252885x-2314901348325\) 3.4.0.a.1, 33.8.0-3.a.1.1, 4920.8.0.?, 54120.16.0.? $[(245859120477486201/1409239, 120337822114207916456182755/1409239)]$
446490.ba1 446490.ba \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\Z/2\Z$ $4.976320796$ $[1, -1, 0, -582248475, -5407530316875]$ \(y^2+xy=x^3-x^2-582248475x-5407530316875\) 2.3.0.a.1, 132.6.0.?, 492.6.0.?, 1804.6.0.?, 5412.12.0.? $[(-222899/4, 447315/4)]$
446490.ba2 446490.ba \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\Z/2\Z$ $2.488160398$ $[1, -1, 0, -36394155, -84468159099]$ \(y^2+xy=x^3-x^2-36394155x-84468159099\) 2.3.0.a.1, 66.6.0.a.1, 492.6.0.?, 1804.6.0.?, 5412.12.0.? $[(-3530, 4389)]$
446490.bb1 446490.bb \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $1.132146081$ $[1, -1, 0, -2745, -2982875]$ \(y^2+xy=x^3-x^2-2745x-2982875\) 984.2.0.? $[(575, 13325)]$
446490.bc1 446490.bc \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $68.82188345$ $[1, -1, 0, -222030, -46391724]$ \(y^2+xy=x^3-x^2-222030x-46391724\) 1640.2.0.? $[(756236852558401309507597661467/8071907600689, 654012443615741423980583897873160622639092665/8071907600689)]$
446490.bd1 446490.bd \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 1394805, -954360379]$ \(y^2+xy=x^3-x^2+1394805x-954360379\) 984.2.0.? $[ ]$
446490.be1 446490.be \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1527345, 721217371]$ \(y^2+xy=x^3-x^2-1527345x+721217371\) 2.3.0.a.1, 40.6.0.b.1, 164.6.0.?, 1640.12.0.? $[ ]$
446490.be2 446490.be \( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -166095, -7595879]$ \(y^2+xy=x^3-x^2-166095x-7595879\) 2.3.0.a.1, 40.6.0.c.1, 82.6.0.?, 1640.12.0.? $[ ]$
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