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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 54 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
19602.a1 19602.a \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -204, -72946]$ \(y^2+xy=x^3-x^2-204x-72946\) 88.2.0.? $[ ]$
19602.b1 19602.b \( 2 \cdot 3^{4} \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $0.391411723$ $[1, -1, 0, -1986, 34568]$ \(y^2+xy=x^3-x^2-1986x+34568\) 3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.1, 33.8.0-3.a.1.1, 132.32.0.? $[(28, 4), (26, -12)]$
19602.b2 19602.b \( 2 \cdot 3^{4} \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $0.391411723$ $[1, -1, 0, -6, 116]$ \(y^2+xy=x^3-x^2-6x+116\) 3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.2, 33.8.0-3.a.1.2, 132.32.0.? $[(4, 10), (-4, 10)]$
19602.c1 19602.c \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.705065444$ $[1, -1, 0, -19806, 1567088]$ \(y^2+xy=x^3-x^2-19806x+1567088\) 3.4.0.a.1, 6.8.0-3.a.1.2, 22.2.0.a.1, 33.8.0-3.a.1.1, 66.16.0-66.a.1.2 $[(146, 1258)]$
19602.c2 19602.c \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.235021814$ $[1, -1, 0, 1974, -31564]$ \(y^2+xy=x^3-x^2+1974x-31564\) 3.4.0.a.1, 6.8.0-3.a.1.1, 22.2.0.a.1, 33.8.0-3.a.1.2, 66.16.0-66.a.1.3 $[(124, 1390)]$
19602.d1 19602.d \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -805338, 278365236]$ \(y^2+xy=x^3-x^2-805338x+278365236\) 8.2.0.b.1 $[ ]$
19602.e1 19602.e \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -10368, -403760]$ \(y^2+xy=x^3-x^2-10368x-403760\) 4.2.0.a.1, 8.4.0-4.a.1.1 $[ ]$
19602.f1 19602.f \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -108015, -13908691]$ \(y^2+xy=x^3-x^2-108015x-13908691\) 4.2.0.a.1, 24.4.0-4.a.1.1 $[ ]$
19602.g1 19602.g \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $1.634376920$ $[1, -1, 0, -304035, -65788651]$ \(y^2+xy=x^3-x^2-304035x-65788651\) 22.2.0.a.1 $[(6790, 554173)]$
19602.h1 19602.h \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -6012, -388272]$ \(y^2+xy=x^3-x^2-6012x-388272\) 3.4.0.a.1, 24.8.0-3.a.1.6, 33.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? $[ ]$
19602.h2 19602.h \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 52068, 8466992]$ \(y^2+xy=x^3-x^2+52068x+8466992\) 3.4.0.a.1, 24.8.0-3.a.1.5, 33.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? $[ ]$
19602.i1 19602.i \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -1173057, 489313853]$ \(y^2+xy=x^3-x^2-1173057x+489313853\) 3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.4, 24.8.0.a.1, $\ldots$ $[ ]$
19602.i2 19602.i \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -11457, 961725]$ \(y^2+xy=x^3-x^2-11457x+961725\) 3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ $[ ]$
19602.i3 19602.i \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -567, -5307]$ \(y^2+xy=x^3-x^2-567x-5307\) 3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.3, 24.8.0.a.1, $\ldots$ $[ ]$
19602.i4 19602.i \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 3063, -10873]$ \(y^2+xy=x^3-x^2+3063x-10873\) 3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.2, 24.8.0.a.1, $\ldots$ $[ ]$
19602.j1 19602.j \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -78612, -7528240]$ \(y^2+xy=x^3-x^2-78612x-7528240\) 3.8.0-3.a.1.1, 8.2.0.b.1, 24.16.0-24.b.1.4 $[ ]$
19602.j2 19602.j \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\Z/3\Z$ $1$ $[1, -1, 0, -18717, 988829]$ \(y^2+xy=x^3-x^2-18717x+988829\) 3.8.0-3.a.1.2, 8.2.0.b.1, 24.16.0-24.b.1.8 $[ ]$
19602.k1 19602.k \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -1392, 20312]$ \(y^2+xy=x^3-x^2-1392x+20312\) 3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 33.8.0-3.a.1.1, 264.16.0.? $[ ]$
19602.k2 19602.k \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -72, -192]$ \(y^2+xy=x^3-x^2-72x-192\) 3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 33.8.0-3.a.1.2, 264.16.0.? $[ ]$
19602.l1 19602.l \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -11290956, -14600250208]$ \(y^2+xy=x^3-x^2-11290956x-14600250208\) 4.2.0.a.1, 264.4.0.? $[ ]$
19602.m1 19602.m \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -59901, 5657669]$ \(y^2+xy=x^3-x^2-59901x+5657669\) 8.2.0.b.1 $[ ]$
19602.n1 19602.n \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -518806338, 4548502376468]$ \(y^2+xy=x^3-x^2-518806338x+4548502376468\) 3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0-12.a.1.1, 33.8.0-3.a.1.1, $\ldots$ $[ ]$
19602.n2 19602.n \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -5843778, 7378649108]$ \(y^2+xy=x^3-x^2-5843778x+7378649108\) 3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0-12.a.1.1, 33.8.0-3.a.1.2, $\ldots$ $[ ]$
19602.o1 19602.o \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\Z/3\Z$ $1$ $[1, -1, 0, -26703, 1686273]$ \(y^2+xy=x^3-x^2-26703x+1686273\) 3.8.0-3.a.1.2, 4.4.0-4.a.1.1, 12.32.0-12.b.1.4 $[ ]$
19602.o2 19602.o \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -6738, 4115348]$ \(y^2+xy=x^3-x^2-6738x+4115348\) 3.8.0-3.a.1.1, 4.4.0-4.a.1.1, 12.32.0-12.b.2.4 $[ ]$
19602.p1 19602.p \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -6738, 234152]$ \(y^2+xy=x^3-x^2-6738x+234152\) 3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 33.8.0-3.a.1.1, 44.16.0-4.b.1.1, $\ldots$ $[ ]$
19602.p2 19602.p \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 522, -588]$ \(y^2+xy=x^3-x^2+522x-588\) 3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 33.8.0-3.a.1.2, 44.16.0-4.b.1.1, $\ldots$ $[ ]$
19602.q1 19602.q \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $8.716693524$ $[1, -1, 1, -57645149, -168443835931]$ \(y^2+xy+y=x^3-x^2-57645149x-168443835931\) 3.4.0.a.1, 4.2.0.a.1, 8.4.0-4.a.1.1, 12.8.0.a.1, 24.16.0-12.a.1.3, $\ldots$ $[(87301/3, 11482978/3)]$
19602.q2 19602.q \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $2.905564508$ $[1, -1, 1, -52594004, -199170931913]$ \(y^2+xy+y=x^3-x^2-52594004x-199170931913\) 3.4.0.a.1, 4.2.0.a.1, 8.4.0-4.a.1.1, 12.8.0.a.1, 24.16.0-12.a.1.3, $\ldots$ $[(35621, 6549101)]$
19602.r1 19602.r \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $10.52839886$ $[1, -1, 1, -240329, -45289043]$ \(y^2+xy+y=x^3-x^2-240329x-45289043\) 3.8.0-3.a.1.1, 4.2.0.a.1, 12.32.0-12.b.1.3 $[(32837/4, 5695231/4)]$
19602.r2 19602.r \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\Z/3\Z$ $3.509466287$ $[1, -1, 1, -749, -152171]$ \(y^2+xy+y=x^3-x^2-749x-152171\) 3.8.0-3.a.1.2, 4.2.0.a.1, 12.32.0-12.b.2.3 $[(139, 1484)]$
19602.s1 19602.s \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $1.396223025$ $[1, -1, 1, -749, -8423]$ \(y^2+xy+y=x^3-x^2-749x-8423\) 3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 33.8.0-3.a.1.2, 132.128.1.? $[(47, 218)]$
19602.s2 19602.s \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.465407675$ $[1, -1, 1, 4696, 11179]$ \(y^2+xy+y=x^3-x^2+4696x+11179\) 3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 33.8.0-3.a.1.1, 132.128.1.? $[(91, 1043)]$
19602.t1 19602.t \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $3.185146254$ $[1, -1, 1, -1254551, 541168191]$ \(y^2+xy+y=x^3-x^2-1254551x+541168191\) 4.2.0.a.1, 88.4.0.? $[(645, -238)]$
19602.u1 19602.u \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.852155983$ $[1, -1, 1, -6656, -207325]$ \(y^2+xy+y=x^3-x^2-6656x-207325\) 8.2.0.b.1 $[(-47, 25)]$
19602.v1 19602.v \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -130340, -18079289]$ \(y^2+xy+y=x^3-x^2-130340x-18079289\) 3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.4, 24.8.0.a.1, $\ldots$ $[ ]$
19602.v2 19602.v \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -103115, -25863461]$ \(y^2+xy+y=x^3-x^2-103115x-25863461\) 3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ $[ ]$
19602.v3 19602.v \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -5105, 148393]$ \(y^2+xy+y=x^3-x^2-5105x+148393\) 3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.3, 24.8.0.a.1, $\ldots$ $[ ]$
19602.v4 19602.v \( 2 \cdot 3^{4} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, 340, 289]$ \(y^2+xy+y=x^3-x^2+340x+289\) 3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.2, 24.8.0.a.1, $\ldots$ $[ ]$
19602.w1 19602.w \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.121762811$ $[1, -1, 1, -54110, 10537453]$ \(y^2+xy+y=x^3-x^2-54110x+10537453\) 3.4.0.a.1, 24.8.0-3.a.1.5, 33.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? $[(1081, 34307)]$
19602.w2 19602.w \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.365288435$ $[1, -1, 1, 5785, -315521]$ \(y^2+xy+y=x^3-x^2+5785x-315521\) 3.4.0.a.1, 24.8.0-3.a.1.6, 33.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? $[(113, 1274)]$
19602.x1 19602.x \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $10.26483729$ $[1, -1, 1, -168455, -26529929]$ \(y^2+xy+y=x^3-x^2-168455x-26529929\) 3.8.0-3.a.1.1, 8.2.0.b.1, 24.16.0-24.b.1.4 $[(-106055/21, 2699192/21)]$
19602.x2 19602.x \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\Z/3\Z$ $3.421612433$ $[1, -1, 1, -8735, 281735]$ \(y^2+xy+y=x^3-x^2-8735x+281735\) 3.8.0-3.a.1.2, 8.2.0.b.1, 24.16.0-24.b.1.8 $[(7, 466)]$
19602.y1 19602.y \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.226080602$ $[1, -1, 1, -650, 5833]$ \(y^2+xy+y=x^3-x^2-650x+5833\) 3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 33.8.0-3.a.1.1, 264.16.0.? $[(1, 71)]$
19602.y2 19602.y \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.678241807$ $[1, -1, 1, -155, -701]$ \(y^2+xy+y=x^3-x^2-155x-701\) 3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 33.8.0-3.a.1.2, 264.16.0.? $[(-7, 4)]$
19602.z1 19602.z \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.732366364$ $[1, -1, 1, -12002, 519137]$ \(y^2+xy+y=x^3-x^2-12002x+519137\) 4.2.0.a.1, 8.4.0-4.a.1.1 $[(25, 471)]$
19602.ba1 19602.ba \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.472806520$ $[1, -1, 1, -33782, 2447877]$ \(y^2+xy+y=x^3-x^2-33782x+2447877\) 22.2.0.a.1 $[(201, 1835)]$
19602.bb1 19602.bb \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $1.659359311$ $[1, -1, 1, -7248044, -7508613329]$ \(y^2+xy+y=x^3-x^2-7248044x-7508613329\) 8.2.0.b.1 $[(-1547, 917)]$
19602.bc1 19602.bc \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.791624856$ $[1, -1, 1, -93314, 10994833]$ \(y^2+xy+y=x^3-x^2-93314x+10994833\) 4.2.0.a.1, 24.4.0-4.a.1.1 $[(179, -35)]$
19602.bd1 19602.bd \( 2 \cdot 3^{4} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $7.144224627$ $[1, -1, 1, -221, -1207]$ \(y^2+xy+y=x^3-x^2-221x-1207\) 3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.1, 33.8.0-3.a.1.2, 44.4.0-4.a.1.1, $\ldots$ $[(967/6, 20365/6)]$
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