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Results (28 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
13167.a1 13167.a \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\mathsf{trivial}$ $0.131779377$ $[0, 0, 1, 39, 150]$ \(y^2+y=x^3+39x+150\) 1254.2.0.?
13167.b1 13167.b \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -10407, -408636]$ \(y^2+y=x^3-10407x-408636\) 8778.2.0.?
13167.c1 13167.c \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\Z/2\Z$ $9.042862546$ $[1, -1, 1, -1669271, -260019430]$ \(y^2+xy+y=x^3-x^2-1669271x-260019430\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$
13167.c2 13167.c \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.521431273$ $[1, -1, 1, -945086, 350903036]$ \(y^2+xy+y=x^3-x^2-945086x+350903036\) 2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 228.24.0.?, 532.24.0.?, $\ldots$
13167.c3 13167.c \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\Z/4\Z$ $2.260715636$ $[1, -1, 1, -942881, 352633520]$ \(y^2+xy+y=x^3-x^2-942881x+352633520\) 2.3.0.a.1, 4.12.0-4.c.1.1, 114.6.0.?, 168.24.0.?, 228.24.0.?, $\ldots$
13167.c4 13167.c \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\Z/2\Z$ $9.042862546$ $[1, -1, 1, -256181, 851048066]$ \(y^2+xy+y=x^3-x^2-256181x+851048066\) 2.3.0.a.1, 4.12.0-4.c.1.2, 84.24.0.?, 456.24.0.?, 1064.24.0.?, $\ldots$
13167.d1 13167.d \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\Z/2\Z$ $0.827846920$ $[1, -1, 1, -57479, 5318426]$ \(y^2+xy+y=x^3-x^2-57479x+5318426\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 264.24.0.?, $\ldots$
13167.d2 13167.d \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\Z/2\Z$ $0.827846920$ $[1, -1, 1, -8069, -157822]$ \(y^2+xy+y=x^3-x^2-8069x-157822\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 44.12.0.h.1, 132.24.0.?, $\ldots$
13167.d3 13167.d \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.655693841$ $[1, -1, 1, -3614, 82748]$ \(y^2+xy+y=x^3-x^2-3614x+82748\) 2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0.a.1, 132.24.0.?, 532.12.0.?, $\ldots$
13167.d4 13167.d \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\Z/2\Z$ $3.311387683$ $[1, -1, 1, 31, 4016]$ \(y^2+xy+y=x^3-x^2+31x+4016\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 132.12.0.?, $\ldots$
13167.e1 13167.e \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\mathsf{trivial}$ $0.574158943$ $[0, 0, 1, -2754, 13520]$ \(y^2+y=x^3-2754x+13520\) 3.8.0-3.a.1.1, 8778.16.0.?
13167.e2 13167.e \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\Z/3\Z$ $1.722476830$ $[0, 0, 1, -2124, 37677]$ \(y^2+y=x^3-2124x+37677\) 3.8.0-3.a.1.2, 8778.16.0.?
13167.f1 13167.f \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -7698, 214830]$ \(y^2+y=x^3-7698x+214830\) 8778.2.0.?
13167.g1 13167.g \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\mathsf{trivial}$ $0.506897753$ $[0, 0, 1, -48, -95]$ \(y^2+y=x^3-48x-95\) 8778.2.0.?
13167.h1 13167.h \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\Z/3\Z$ $0.708552455$ $[0, 0, 1, -24960, 1522755]$ \(y^2+y=x^3-24960x+1522755\) 3.8.0-3.a.1.2, 1254.16.0.?
13167.h2 13167.h \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\mathsf{trivial}$ $0.236184151$ $[0, 0, 1, 690, 10944]$ \(y^2+y=x^3+690x+10944\) 3.8.0-3.a.1.1, 1254.16.0.?
13167.i1 13167.i \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\mathsf{trivial}$ $5.775187319$ $[0, 0, 1, -8944662, 5676575688]$ \(y^2+y=x^3-8944662x+5676575688\) 8778.2.0.?
13167.j1 13167.j \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -19116, -1017286]$ \(y^2+y=x^3-19116x-1017286\) 3.8.0-3.a.1.1, 8778.16.0.?
13167.j2 13167.j \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $0$ $\Z/3\Z$ $1$ $[0, 0, 1, -306, -501]$ \(y^2+y=x^3-306x-501\) 3.8.0-3.a.1.2, 8778.16.0.?
13167.k1 13167.k \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, 33882, -2313234]$ \(y^2+y=x^3+33882x-2313234\) 1254.2.0.?
13167.l1 13167.l \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -270873, 54329886]$ \(y^2+xy=x^3-x^2-270873x+54329886\) 2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 168.12.0.?, 228.12.0.?, $\ldots$
13167.l2 13167.l \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -22923, 201204]$ \(y^2+xy=x^3-x^2-22923x+201204\) 2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 88.12.0.?, 228.12.0.?, $\ldots$
13167.l3 13167.l \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -16938, 851175]$ \(y^2+xy=x^3-x^2-16938x+851175\) 2.6.0.a.1, 44.12.0-2.a.1.1, 84.12.0.?, 228.12.0.?, 532.12.0.?, $\ldots$
13167.l4 13167.l \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -693, 22680]$ \(y^2+xy=x^3-x^2-693x+22680\) 2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 84.12.0.?, 456.12.0.?, $\ldots$
13167.m1 13167.m \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -3909, 83065]$ \(y^2+y=x^3-3909x+83065\) 8778.2.0.?
13167.n1 13167.n \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\mathsf{trivial}$ $10.58532277$ $[0, 0, 1, -472323, 124884945]$ \(y^2+y=x^3-472323x+124884945\) 5.12.0.a.2, 15.24.0-5.a.2.1, 8778.2.0.?, 14630.24.0.?, 43890.48.1.?
13167.n2 13167.n \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $1$ $\mathsf{trivial}$ $2.117064555$ $[0, 0, 1, -16833, -839745]$ \(y^2+y=x^3-16833x-839745\) 5.12.0.a.1, 15.24.0-5.a.1.1, 8778.2.0.?, 14630.24.0.?, 43890.48.1.?
13167.o1 13167.o \( 3^{2} \cdot 7 \cdot 11 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, 351, -4057]$ \(y^2+y=x^3+351x-4057\) 1254.2.0.?
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