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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
69828.a1 69828.a \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -14645012, 21577119576]$ \(y^2=x^3-x^2-14645012x+21577119576\) 4.2.0.a.1, 6072.4.0.?
69828.b1 69828.b \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 2998, 12069]$ \(y^2=x^3-x^2+2998x+12069\) 1518.2.0.?
69828.c1 69828.c \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -683644, -217333400]$ \(y^2=x^3-x^2-683644x-217333400\) 2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.?
69828.c2 69828.c \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -40909, -3688286]$ \(y^2=x^3-x^2-40909x-3688286\) 2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.?
69828.d1 69828.d \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $104.6779066$ $[0, -1, 0, -121544274, 47836559493]$ \(y^2=x^3-x^2-121544274x+47836559493\) 66.2.0.a.1
69828.e1 69828.e \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $3.130456019$ $[0, -1, 0, -84556594, 299302412113]$ \(y^2=x^3-x^2-84556594x+299302412113\) 66.2.0.a.1
69828.f1 69828.f \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 52724, -5386376]$ \(y^2=x^3-x^2+52724x-5386376\) 4.2.0.a.1, 264.4.0.?
69828.g1 69828.g \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.564418344$ $[0, -1, 0, 54, -351]$ \(y^2=x^3-x^2+54x-351\) 1518.2.0.?
69828.h1 69828.h \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -349293, 2947015593]$ \(y^2=x^3-x^2-349293x+2947015593\) 6.2.0.a.1
69828.i1 69828.i \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $5.051525911$ $[0, -1, 0, -20278, 1074301]$ \(y^2=x^3-x^2-20278x+1074301\) 66.2.0.a.1
69828.j1 69828.j \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -38, -75]$ \(y^2=x^3-x^2-38x-75\) 66.2.0.a.1
69828.k1 69828.k \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $81.03950894$ $[0, -1, 0, -184776173, -35854860511095]$ \(y^2=x^3-x^2-184776173x-35854860511095\) 6.2.0.a.1
69828.l1 69828.l \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\Z/2\Z$ $4.427647729$ $[0, -1, 0, -120788, -10422456]$ \(y^2=x^3-x^2-120788x-10422456\) 2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?
69828.l2 69828.l \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.213823864$ $[0, -1, 0, -49373, 4117638]$ \(y^2=x^3-x^2-49373x+4117638\) 2.3.0.a.1, 12.6.0.b.1, 506.6.0.?, 3036.12.0.?
69828.m1 69828.m \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 28390, 4043049]$ \(y^2=x^3-x^2+28390x+4043049\) 1518.2.0.?
69828.n1 69828.n \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.395585852$ $[0, -1, 0, 100, 408]$ \(y^2=x^3-x^2+100x+408\) 4.2.0.a.1, 6072.4.0.?
69828.o1 69828.o \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -87990, 11933613]$ \(y^2=x^3-x^2-87990x+11933613\) 1518.2.0.?
69828.p1 69828.p \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -159842, -24543927]$ \(y^2=x^3-x^2-159842x-24543927\) 66.2.0.a.1
69828.q1 69828.q \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -229762, -3851747]$ \(y^2=x^3-x^2-229762x-3851747\) 66.2.0.a.1
69828.r1 69828.r \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -375634612, -384692485112]$ \(y^2=x^3-x^2-375634612x-384692485112\) 2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.?
69828.r2 69828.r \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 92919203, -47896002890]$ \(y^2=x^3-x^2+92919203x-47896002890\) 2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.?
69828.s1 69828.s \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $10.58953804$ $[0, -1, 0, -27684, -1763784]$ \(y^2=x^3-x^2-27684x-1763784\) 4.2.0.a.1, 264.4.0.?
69828.t1 69828.t \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\Z/2\Z$ $18.15378201$ $[0, -1, 0, -5406556, 4814954728]$ \(y^2=x^3-x^2-5406556x+4814954728\) 2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?
69828.t2 69828.t \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\Z/2\Z$ $9.076891008$ $[0, -1, 0, -5398621, 4829856658]$ \(y^2=x^3-x^2-5398621x+4829856658\) 2.3.0.a.1, 12.6.0.b.1, 506.6.0.?, 3036.12.0.?
69828.u1 69828.u \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -40295164, -98466103660]$ \(y^2=x^3+x^2-40295164x-98466103660\) 2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.?
69828.u2 69828.u \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -2516629, -1541494264]$ \(y^2=x^3+x^2-2516629x-1541494264\) 2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.?
69828.v1 69828.v \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -6524, 94260]$ \(y^2=x^3+x^2-6524x+94260\) 2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.?
69828.v2 69828.v \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 1411, 11736]$ \(y^2=x^3+x^2+1411x+11736\) 2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.?
69828.w1 69828.w \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.671272509$ $[0, 1, 0, -16007716, 52750061396]$ \(y^2=x^3+x^2-16007716x+52750061396\) 4.2.0.a.1, 264.4.0.?
69828.x1 69828.x \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.434152488$ $[0, 1, 0, -5466, -250119]$ \(y^2=x^3+x^2-5466x-250119\) 1518.2.0.?
69828.y1 69828.y \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -750298, -250376131]$ \(y^2=x^3+x^2-750298x-250376131\) 3.8.0-3.a.1.1, 66.16.0-66.b.1.2
69828.y2 69828.y \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\Z/3\Z$ $1$ $[0, 1, 0, -20278, 604745]$ \(y^2=x^3+x^2-20278x+604745\) 3.8.0-3.a.1.2, 66.16.0-66.b.1.4
69828.z1 69828.z \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.693613085$ $[0, 1, 0, -1418, 20085]$ \(y^2=x^3+x^2-1418x+20085\) 3.4.0.a.1, 66.8.0.b.1, 69.8.0-3.a.1.1, 1518.16.0.?
69828.z2 69828.z \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.564537695$ $[0, 1, 0, -38, -63]$ \(y^2=x^3+x^2-38x-63\) 3.4.0.a.1, 66.8.0.b.1, 69.8.0-3.a.1.2, 1518.16.0.?
69828.ba1 69828.ba \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -849750, -470275083]$ \(y^2=x^3+x^2-849750x-470275083\) 1518.2.0.?
69828.bb1 69828.bb \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -204370, 92866577]$ \(y^2=x^3+x^2-204370x+92866577\) 1518.2.0.?
69828.bc1 69828.bc \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -30260, -4346028]$ \(y^2=x^3+x^2-30260x-4346028\) 4.2.0.a.1, 6072.4.0.?
69828.bd1 69828.bd \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -730196, -237549468]$ \(y^2=x^3+x^2-730196x-237549468\) 2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?
69828.bd2 69828.bd \( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -87461, 4118892]$ \(y^2=x^3+x^2-87461x+4118892\) 2.3.0.a.1, 12.6.0.b.1, 506.6.0.?, 3036.12.0.?
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