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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
409101.a1 409101.a \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $4.807944569$ $[0, -1, 1, -571160, -193688188]$ \(y^2+y=x^3-x^2-571160x-193688188\) 966.2.0.?
409101.b1 409101.b \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, 9882, 296834]$ \(y^2+y=x^3-x^2+9882x+296834\) 966.2.0.?
409101.c1 409101.c \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $5.303568403$ $[0, -1, 1, 2156180, -102986346]$ \(y^2+y=x^3-x^2+2156180x-102986346\) 3542.2.0.?
409101.d1 409101.d \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.956836807$ $[0, 1, 1, -962474, -10275428740]$ \(y^2+y=x^3+x^2-962474x-10275428740\) 3542.2.0.?
409101.e1 409101.e \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, 180711, -51384684]$ \(y^2+xy+y=x^3+x^2+180711x-51384684\) 276.2.0.?
409101.f1 409101.f \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -10776081, -13691025468]$ \(y^2+xy+y=x^3+x^2-10776081x-13691025468\) 276.2.0.?
409101.g1 409101.g \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $6.912384283$ $[1, 1, 1, -2801576, -1806095950]$ \(y^2+xy+y=x^3+x^2-2801576x-1806095950\) 4.2.0.a.1, 3864.4.0.?
409101.h1 409101.h \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.392946840$ $[1, 1, 1, -92023, -10747318]$ \(y^2+xy+y=x^3+x^2-92023x-10747318\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?
409101.h2 409101.h \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $4.785893680$ $[1, 1, 1, -3088, -324136]$ \(y^2+xy+y=x^3+x^2-3088x-324136\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?
409101.i1 409101.i \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -318172, -69261466]$ \(y^2+xy+y=x^3+x^2-318172x-69261466\) 21252.2.0.?
409101.j1 409101.j \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $4.572645712$ $[1, 1, 1, -275822, -5457909346]$ \(y^2+xy+y=x^3+x^2-275822x-5457909346\) 6.2.0.a.1
409101.k1 409101.k \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $0.292801297$ $[1, 0, 0, -5629, 15911468]$ \(y^2+xy=x^3-5629x+15911468\) 6.2.0.a.1
409101.l1 409101.l \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -107654, 13421673]$ \(y^2+xy=x^3-107654x+13421673\) 1932.2.0.?
409101.m1 409101.m \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $0.511891099$ $[1, 0, 0, -15590429, 23709911490]$ \(y^2+xy=x^3-15590429x+23709911490\) 21252.2.0.?
409101.n1 409101.n \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.504978503$ $[1, 0, 0, -123278856, 681391013337]$ \(y^2+xy=x^3-123278856x+681391013337\) 4.2.0.a.1, 3864.4.0.?
409101.o1 409101.o \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $4.407682955$ $[1, 0, 0, -210603, -1511322]$ \(y^2+xy=x^3-210603x-1511322\) 1932.2.0.?
409101.p1 409101.p \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -219920, 39884109]$ \(y^2+xy=x^3-219920x+39884109\) 276.2.0.?
409101.q1 409101.q \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, 8854838, 17651511065]$ \(y^2+xy=x^3+8854838x+17651511065\) 276.2.0.?
409101.r1 409101.r \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, 128988236, -191566866919]$ \(y^2+xy=x^3+128988236x-191566866919\) 4.2.0.a.1, 3864.4.0.?
409101.s1 409101.s \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -7930161, -8593877412]$ \(y^2+xy=x^3-7930161x-8593877412\) 2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.?
409101.s2 409101.s \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -429976, -171169657]$ \(y^2+xy=x^3-429976x-171169657\) 2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?
409101.t1 409101.t \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $2.125274853$ $[1, 0, 0, -103881, -12895002]$ \(y^2+xy=x^3-103881x-12895002\) 1932.2.0.?
409101.u1 409101.u \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $4.820708926$ $[0, -1, 1, -504968977, 4367604502722]$ \(y^2+y=x^3-x^2-504968977x+4367604502722\) 3.4.0.a.1, 6.8.0-3.a.1.1, 21.8.0-3.a.1.2, 42.16.0-42.b.1.2
409101.u2 409101.u \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.606902975$ $[0, -1, 1, -11913337, -6476975583]$ \(y^2+y=x^3-x^2-11913337x-6476975583\) 3.4.0.a.1, 6.8.0-3.a.1.2, 21.8.0-3.a.1.1, 42.16.0-42.b.1.1
409101.v1 409101.v \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $3.346079472$ $[0, -1, 1, -4173297, -3279928345]$ \(y^2+y=x^3-x^2-4173297x-3279928345\) 3.4.0.a.1, 42.8.0.b.1, 66.8.0-3.a.1.1, 231.8.0.?, 462.16.0.?
409101.v2 409101.v \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.115359824$ $[0, -1, 1, -98457, 4902050]$ \(y^2+y=x^3-x^2-98457x+4902050\) 3.4.0.a.1, 42.8.0.b.1, 66.8.0-3.a.1.2, 231.8.0.?, 462.16.0.?
409101.w1 409101.w \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, 1936807, 10366453712]$ \(y^2+y=x^3-x^2+1936807x+10366453712\) 6.2.0.a.1
409101.x1 409101.x \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -138343, -20045565]$ \(y^2+y=x^3-x^2-138343x-20045565\) 966.2.0.?
409101.y1 409101.y \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.142339782$ $[0, -1, 1, -36703, 2719254]$ \(y^2+y=x^3-x^2-36703x+2719254\) 3.4.0.a.1, 6.8.0.b.1, 231.8.0.?, 462.16.0.?
409101.y2 409101.y \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $3.427019348$ $[0, -1, 1, 14117, 9419871]$ \(y^2+y=x^3-x^2+14117x+9419871\) 3.4.0.a.1, 6.8.0.b.1, 231.8.0.?, 462.16.0.?
409101.z1 409101.z \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $2.917671914$ $[0, -1, 1, -4869685, 4187113545]$ \(y^2+y=x^3-x^2-4869685x+4187113545\) 3542.2.0.?
409101.ba1 409101.ba \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $4.751146168$ $[0, -1, 1, -40245, -3131206]$ \(y^2+y=x^3-x^2-40245x-3131206\) 3542.2.0.?
409101.bb1 409101.bb \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $0.560357089$ $[0, 1, 1, -821, 8894]$ \(y^2+y=x^3+x^2-821x+8894\) 3542.2.0.?
409101.bc1 409101.bc \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -99381, -12235723]$ \(y^2+y=x^3+x^2-99381x-12235723\) 3542.2.0.?
409101.bd1 409101.bd \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $9.096682096$ $[0, 1, 1, -1798463, -929107294]$ \(y^2+y=x^3+x^2-1798463x-929107294\) 3.4.0.a.1, 6.8.0.b.1, 33.8.0-3.a.1.2, 66.16.0-6.b.1.2
409101.bd2 409101.bd \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $27.29004628$ $[0, 1, 1, 691717, -3232399285]$ \(y^2+y=x^3+x^2+691717x-3232399285\) 3.4.0.a.1, 6.8.0.b.1, 33.8.0-3.a.1.1, 66.16.0-6.b.1.1
409101.be1 409101.be \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $2.400219666$ $[0, 1, 1, -2823, 57635]$ \(y^2+y=x^3+x^2-2823x+57635\) 966.2.0.?
409101.bf1 409101.bf \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $0.874636430$ $[0, 1, 1, 39527, -30211604]$ \(y^2+y=x^3+x^2+39527x-30211604\) 6.2.0.a.1
409101.bg1 409101.bg \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 1494, 39285]$ \(y^2+xy=x^3+x^2+1494x+39285\) 276.2.0.?
409101.bh1 409101.bh \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $5.008664253$ $[1, 1, 0, -1130021, 461682390]$ \(y^2+xy=x^3+x^2-1130021x+461682390\) 2.3.0.a.1, 28.6.0.c.1, 1012.6.0.?, 7084.12.0.?
409101.bh2 409101.bh \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.504332126$ $[1, 1, 0, -58566, 9742671]$ \(y^2+xy=x^3+x^2-58566x+9742671\) 2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.?
409101.bi1 409101.bi \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $4.615830393$ $[1, 1, 0, -338990698, 2402218755721]$ \(y^2+xy=x^3+x^2-338990698x+2402218755721\) 4.2.0.a.1, 42504.4.0.?
409101.bj1 409101.bj \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -89058, 10245789]$ \(y^2+xy=x^3+x^2-89058x+10245789\) 276.2.0.?
409101.bk1 409101.bk \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -4358, -141819]$ \(y^2+xy=x^3+x^2-4358x-141819\) 276.2.0.?
409101.bl1 409101.bl \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $11.42161147$ $[1, 1, 0, -2279, 4099572]$ \(y^2+xy=x^3+x^2-2279x+4099572\) 6.2.0.a.1
409101.bm1 409101.bm \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $64.11156888$ $[1, 1, 0, -552013739, -4992211246392]$ \(y^2+xy=x^3+x^2-552013739x-4992211246392\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.f.1, 66.6.0.a.1, $\ldots$
409101.bm2 409101.bm \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $32.05578444$ $[1, 1, 0, -34500974, -78013532505]$ \(y^2+xy=x^3+x^2-34500974x-78013532505\) 2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 56.24.0-4.b.1.2, 84.24.0.?, $\ldots$
409101.bm3 409101.bm \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $64.11156888$ $[1, 1, 0, -33522689, -82644538038]$ \(y^2+xy=x^3+x^2-33522689x-82644538038\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.by.1, 56.24.0-8.n.1.4, $\ldots$
409101.bm4 409101.bm \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $8.013946110$ $[1, 1, 0, -8354084, 8056799997]$ \(y^2+xy=x^3+x^2-8354084x+8056799997\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.by.2, 92.12.0.?, $\ldots$
409101.bm5 409101.bm \( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $16.02789222$ $[1, 1, 0, -2217569, -1146745200]$ \(y^2+xy=x^3+x^2-2217569x-1146745200\) 2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 56.24.0-4.b.1.3, 88.24.0.?, $\ldots$
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