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Results (30 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
80223.a1 80223.a \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $2$ $\mathsf{trivial}$ $0.783525677$ $[0, -1, 1, -2218, 273360]$ \(y^2+y=x^3-x^2-2218x+273360\) 6.2.0.a.1
80223.b1 80223.b \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.234913848$ $[0, 1, 1, -1734, 90668]$ \(y^2+y=x^3+x^2-1734x+90668\) 6.2.0.a.1
80223.c1 80223.c \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $2.108114037$ $[1, 1, 1, -39630, 999846]$ \(y^2+xy+y=x^3+x^2-39630x+999846\) 2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?
80223.c2 80223.c \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $1.054057018$ $[1, 1, 1, -31765, 2163866]$ \(y^2+xy+y=x^3+x^2-31765x+2163866\) 2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?
80223.d1 80223.d \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -13373, 584090]$ \(y^2+xy+y=x^3+x^2-13373x+584090\) 2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?
80223.d2 80223.d \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -3088, 1472714]$ \(y^2+xy+y=x^3+x^2-3088x+1472714\) 2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?
80223.e1 80223.e \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, 1026, 29184]$ \(y^2+xy+y=x^3+x^2+1026x+29184\) 884.2.0.?
80223.f1 80223.f \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -910, -11527]$ \(y^2+xy=x^3-910x-11527\) 884.2.0.?
80223.g1 80223.g \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.469454217$ $[1, 0, 0, 8671, -456114]$ \(y^2+xy=x^3+8671x-456114\) 884.2.0.?
80223.h1 80223.h \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $2.548474056$ $[0, -1, 1, 12423, -3342967]$ \(y^2+y=x^3-x^2+12423x-3342967\) 374.2.0.?
80223.i1 80223.i \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.765871251$ $[0, -1, 1, 103, 2474]$ \(y^2+y=x^3-x^2+103x+2474\) 374.2.0.?
80223.j1 80223.j \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -2441056, 1466719159]$ \(y^2+xy=x^3+x^2-2441056x+1466719159\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.2, 26.6.0.b.1, $\ldots$
80223.j2 80223.j \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -168071, 17918520]$ \(y^2+xy=x^3+x^2-168071x+17918520\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 44.24.0-4.b.1.1, 52.24.0.c.1, $\ldots$
80223.j3 80223.j \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -65826, -6313545]$ \(y^2+xy=x^3+x^2-65826x-6313545\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 44.24.0-4.b.1.3, 68.24.0.c.1, $\ldots$
80223.j4 80223.j \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -65221, -6438296]$ \(y^2+xy=x^3+x^2-65221x-6438296\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 34.6.0.a.1, $\ldots$
80223.j5 80223.j \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 26739, -22549446]$ \(y^2+xy=x^3+x^2+26739x-22549446\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 44.12.0-4.c.1.2, 68.12.0.h.1, $\ldots$
80223.j6 80223.j \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 468994, 122014941]$ \(y^2+xy=x^3+x^2+468994x+122014941\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 44.12.0-4.c.1.1, 52.12.0.h.1, $\ldots$
80223.k1 80223.k \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $17.82918387$ $[1, 1, 0, -50691940015, -937825931943248]$ \(y^2+xy=x^3+x^2-50691940015x-937825931943248\) 2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?
80223.k2 80223.k \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $35.65836775$ $[1, 1, 0, 197562957150, -7411866791191551]$ \(y^2+xy=x^3+x^2+197562957150x-7411866791191551\) 2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?
80223.l1 80223.l \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 9, -18]$ \(y^2+xy=x^3+x^2+9x-18\) 884.2.0.?
80223.m1 80223.m \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -11861, -383209]$ \(y^2+xy+y=x^3-11861x-383209\) 2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?
80223.m2 80223.m \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -3996, 91837]$ \(y^2+xy+y=x^3-3996x+91837\) 2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?
80223.n1 80223.n \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -110113, 15232325]$ \(y^2+xy+y=x^3-110113x+15232325\) 884.2.0.?
80223.o1 80223.o \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -5087085, 4414289449]$ \(y^2+xy+y=x^3-5087085x+4414289449\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$
80223.o2 80223.o \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -2702175, -1677306479]$ \(y^2+xy+y=x^3-2702175x-1677306479\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 52.12.0-4.c.1.1, 88.12.0.?, $\ldots$
80223.o3 80223.o \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -366270, 46591411]$ \(y^2+xy+y=x^3-366270x+46591411\) 2.6.0.a.1, 12.12.0.a.1, 44.12.0-2.a.1.1, 52.12.0-2.a.1.1, 132.24.0.?, $\ldots$
80223.o4 80223.o \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 74775, 5309599]$ \(y^2+xy+y=x^3+74775x+5309599\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 44.12.0-4.c.1.2, 52.12.0-4.c.1.2, $\ldots$
80223.p1 80223.p \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $3.038230980$ $[1, 0, 1, 1049188, 608136923]$ \(y^2+xy+y=x^3+1049188x+608136923\) 884.2.0.?
80223.q1 80223.q \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -18, -199]$ \(y^2+y=x^3-x^2-18x-199\) 6.2.0.a.1
80223.r1 80223.r \( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $9.346790361$ $[0, 1, 1, -209854, -121518809]$ \(y^2+y=x^3+x^2-209854x-121518809\) 6.2.0.a.1
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