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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
36784.a1 36784.a \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -11011, -524414]$ \(y^2=x^3-11011x-524414\) 152.2.0.?
36784.b1 36784.b \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -86515, -10043726]$ \(y^2=x^3-86515x-10043726\) 152.2.0.?
36784.c1 36784.c \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $0.480632290$ $[0, 0, 0, -715, 7546]$ \(y^2=x^3-715x+7546\) 152.2.0.?
36784.d1 36784.d \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\Z/2\Z$ $1.973366511$ $[0, 1, 0, -3824, -92204]$ \(y^2=x^3+x^2-3824x-92204\) 2.3.0.a.1, 44.6.0.a.1, 76.6.0.?, 836.12.0.?
36784.d2 36784.d \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\Z/2\Z$ $0.986683255$ $[0, 1, 0, -304, -684]$ \(y^2=x^3+x^2-304x-684\) 2.3.0.a.1, 44.6.0.b.1, 76.6.0.?, 418.6.0.?, 836.12.0.?
36784.e1 36784.e \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -462744, 120872596]$ \(y^2=x^3+x^2-462744x+120872596\) 2.3.0.a.1, 44.6.0.a.1, 76.6.0.?, 836.12.0.?
36784.e2 36784.e \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -36824, 763156]$ \(y^2=x^3+x^2-36824x+763156\) 2.3.0.a.1, 44.6.0.b.1, 76.6.0.?, 418.6.0.?, 836.12.0.?
36784.f1 36784.f \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $3.918912346$ $[0, 1, 0, -2581, -51537]$ \(y^2=x^3+x^2-2581x-51537\) 38.2.0.a.1
36784.g1 36784.g \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -6332, -185000]$ \(y^2=x^3+x^2-6332x-185000\) 2.3.0.a.1, 44.6.0.a.1, 76.6.0.?, 836.12.0.?
36784.g2 36784.g \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 323, -11970]$ \(y^2=x^3+x^2+323x-11970\) 2.3.0.a.1, 38.6.0.b.1, 44.6.0.b.1, 836.12.0.?
36784.h1 36784.h \( 2^{4} \cdot 11^{2} \cdot 19 \) $2$ $\mathsf{trivial}$ $1.544649471$ $[0, -1, 0, -52917, 5497021]$ \(y^2=x^3-x^2-52917x+5497021\) 3.4.0.a.1, 12.8.0-3.a.1.3, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.?
36784.h2 36784.h \( 2^{4} \cdot 11^{2} \cdot 19 \) $2$ $\mathsf{trivial}$ $1.544649471$ $[0, -1, 0, 373003, -31813571]$ \(y^2=x^3-x^2+373003x-31813571\) 3.4.0.a.1, 12.8.0-3.a.1.4, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.?
36784.i1 36784.i \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -74697, -7928171]$ \(y^2=x^3-x^2-74697x-7928171\) 22.2.0.a.1
36784.j1 36784.j \( 2^{4} \cdot 11^{2} \cdot 19 \) $2$ $\mathsf{trivial}$ $9.282465821$ $[0, -1, 0, -165568, -208528384]$ \(y^2=x^3-x^2-165568x-208528384\) 3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 132.8.0.?, 152.2.0.?, $\ldots$
36784.j2 36784.j \( 2^{4} \cdot 11^{2} \cdot 19 \) $2$ $\mathsf{trivial}$ $1.031385091$ $[0, -1, 0, -30048, 2015488]$ \(y^2=x^3-x^2-30048x+2015488\) 3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 132.8.0.?, 152.2.0.?, $\ldots$
36784.j3 36784.j \( 2^{4} \cdot 11^{2} \cdot 19 \) $2$ $\mathsf{trivial}$ $1.031385091$ $[0, -1, 0, 18352, 7614400]$ \(y^2=x^3-x^2+18352x+7614400\) 3.12.0.a.1, 9.36.0.b.1, 132.24.0.?, 152.2.0.?, 171.108.4.?, $\ldots$
36784.k1 36784.k \( 2^{4} \cdot 11^{2} \cdot 19 \) $2$ $\mathsf{trivial}$ $0.847853455$ $[0, -1, 0, -128, 640]$ \(y^2=x^3-x^2-128x+640\) 3.4.0.a.1, 132.8.0.?, 152.2.0.?, 456.8.0.?, 5016.16.0.?
36784.k2 36784.k \( 2^{4} \cdot 11^{2} \cdot 19 \) $2$ $\mathsf{trivial}$ $0.847853455$ $[0, -1, 0, 752, -64]$ \(y^2=x^3-x^2+752x-64\) 3.4.0.a.1, 132.8.0.?, 152.2.0.?, 456.8.0.?, 5016.16.0.?
36784.l1 36784.l \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $11.70162615$ $[0, -1, 0, -15528, -789776]$ \(y^2=x^3-x^2-15528x-789776\) 3.4.0.a.1, 12.8.0-3.a.1.1, 152.2.0.?, 456.16.0.?
36784.l2 36784.l \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $3.900542050$ $[0, -1, 0, 90952, -278672]$ \(y^2=x^3-x^2+90952x-278672\) 3.4.0.a.1, 12.8.0-3.a.1.2, 152.2.0.?, 456.16.0.?
36784.m1 36784.m \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $3.160381959$ $[0, -1, 0, -1008, -17312]$ \(y^2=x^3-x^2-1008x-17312\) 152.2.0.?
36784.n1 36784.n \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -628272, 192622432]$ \(y^2=x^3-x^2-628272x+192622432\) 152.2.0.?
36784.o1 36784.o \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 121, -1694]$ \(y^2=x^3+121x-1694\) 4.2.0.a.1, 152.4.0.?
36784.p1 36784.p \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $4.941421695$ $[0, 0, 0, 14641, 2254714]$ \(y^2=x^3+14641x+2254714\) 4.2.0.a.1, 1672.4.0.?
36784.q1 36784.q \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\Z/2\Z$ $1.319904635$ $[0, 0, 0, -102971, 12625866]$ \(y^2=x^3-102971x+12625866\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 88.24.0.?, 152.24.0.?, $\ldots$
36784.q2 36784.q \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.639809270$ $[0, 0, 0, -11011, -119790]$ \(y^2=x^3-11011x-119790\) 2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 152.24.0.?, 836.24.0.?, $\ldots$
36784.q3 36784.q \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\Z/2\Z$ $5.279618541$ $[0, 0, 0, -8591, -306130]$ \(y^2=x^3-8591x-306130\) 2.3.0.a.1, 4.12.0-4.c.1.2, 88.24.0.?, 152.24.0.?, 418.6.0.?, $\ldots$
36784.q4 36784.q \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\Z/4\Z$ $5.279618541$ $[0, 0, 0, 42229, -939686]$ \(y^2=x^3+42229x-939686\) 2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 152.24.0.?, 1672.48.0.?
36784.r1 36784.r \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -43381283, -109977540574]$ \(y^2=x^3-43381283x-109977540574\) 4.8.0.b.1, 44.16.0-4.b.1.1
36784.s1 36784.s \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $0.766756052$ $[0, 0, 0, -358523, 82627754]$ \(y^2=x^3-358523x+82627754\) 4.16.0-4.b.1.1
36784.t1 36784.t \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $4.022796962$ $[0, 0, 0, -5995, -178662]$ \(y^2=x^3-5995x-178662\) 152.2.0.?
36784.u1 36784.u \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $0.882722212$ $[0, 0, 0, 605, -21054]$ \(y^2=x^3+605x-21054\) 152.2.0.?
36784.v1 36784.v \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 73205, 28022874]$ \(y^2=x^3+73205x+28022874\) 152.2.0.?
36784.w1 36784.w \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -725395, 237799122]$ \(y^2=x^3-725395x+237799122\) 152.2.0.?
36784.x1 36784.x \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -7139, 199650]$ \(y^2=x^3-7139x+199650\) 2.3.0.a.1, 8.6.0.d.1, 418.6.0.?, 1672.12.0.?
36784.x2 36784.x \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 12221, 1094082]$ \(y^2=x^3+12221x+1094082\) 2.3.0.a.1, 8.6.0.a.1, 836.6.0.?, 1672.12.0.?
36784.y1 36784.y \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $2.815045054$ $[0, 0, 0, 9317, -2196150]$ \(y^2=x^3+9317x-2196150\) 152.2.0.?
36784.z1 36784.z \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 77, 1650]$ \(y^2=x^3+77x+1650\) 152.2.0.?
36784.ba1 36784.ba \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $10.65585905$ $[0, 1, 0, -135560, -21311116]$ \(y^2=x^3+x^2-135560x-21311116\) 5.12.0.a.2, 152.2.0.?, 220.24.0.?, 760.24.1.?, 8360.48.1.?
36784.ba2 36784.ba \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $2.131171810$ $[0, 1, 0, -40, 101044]$ \(y^2=x^3+x^2-40x+101044\) 5.12.0.a.1, 152.2.0.?, 220.24.0.?, 760.24.1.?, 8360.48.1.?
36784.bb1 36784.bb \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 127736, -2710028]$ \(y^2=x^3+x^2+127736x-2710028\) 152.2.0.?
36784.bc1 36784.bc \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -2845, -59369]$ \(y^2=x^3+x^2-2845x-59369\) 22.2.0.a.1
36784.bd1 36784.bd \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -645, -65089]$ \(y^2=x^3+x^2-645x-65089\) 22.2.0.a.1
36784.be1 36784.be \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $1.727908496$ $[0, 1, 0, -344285, 77643047]$ \(y^2=x^3+x^2-344285x+77643047\) 22.2.0.a.1
36784.bf1 36784.bf \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $4.980525822$ $[0, 1, 0, -526632, 204480692]$ \(y^2=x^3+x^2-526632x+204480692\) 152.2.0.?
36784.bg1 36784.bg \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -4352, -155212]$ \(y^2=x^3+x^2-4352x-155212\) 152.2.0.?
36784.bh1 36784.bh \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\Z/2\Z$ $24.09751600$ $[0, -1, 0, -3071504, -2006447056]$ \(y^2=x^3-x^2-3071504x-2006447056\) 2.3.0.a.1, 44.6.0.a.1, 76.6.0.?, 836.12.0.?
36784.bh2 36784.bh \( 2^{4} \cdot 11^{2} \cdot 19 \) $1$ $\Z/2\Z$ $48.19503201$ $[0, -1, 0, -3044884, -2044034496]$ \(y^2=x^3-x^2-3044884x-2044034496\) 2.3.0.a.1, 44.6.0.b.1, 76.6.0.?, 418.6.0.?, 836.12.0.?
36784.bi1 36784.bi \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -25384, 1516704]$ \(y^2=x^3-x^2-25384x+1516704\) 2.3.0.a.1, 44.6.0.a.1, 76.6.0.?, 836.12.0.?
36784.bi2 36784.bi \( 2^{4} \cdot 11^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -25164, 1544864]$ \(y^2=x^3-x^2-25164x+1544864\) 2.3.0.a.1, 44.6.0.b.1, 76.6.0.?, 418.6.0.?, 836.12.0.?
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