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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
8800.a1 8800.a \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $2.697919255$ $[0, 0, 0, 200, -14000]$ \(y^2=x^3+200x-14000\) 3.3.0.a.1, 12.6.0.d.1, 22.2.0.a.1, 66.6.1.a.1, 132.12.1.? $[(24, 68)]$
8800.b1 8800.b \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $1.763467913$ $[0, 0, 0, -2875, 81250]$ \(y^2=x^3-2875x+81250\) 3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.? $[(50, 250)]$
8800.c1 8800.c \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.357421589$ $[0, 0, 0, -115, -650]$ \(y^2=x^3-115x-650\) 3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.? $[(25, 110)]$
8800.d1 8800.d \( 2^{5} \cdot 5^{2} \cdot 11 \) $2$ $\Z/2\Z$ $2.666826362$ $[0, 1, 0, -1633, -25137]$ \(y^2=x^3+x^2-1633x-25137\) 2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? $[(-22, 25), (53, 200)]$
8800.d2 8800.d \( 2^{5} \cdot 5^{2} \cdot 11 \) $2$ $\Z/2\Z$ $0.666706590$ $[0, 1, 0, -258, 988]$ \(y^2=x^3+x^2-258x+988\) 2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? $[(18, 50), (-7, 50)]$
8800.e1 8800.e \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -208, -11412]$ \(y^2=x^3+x^2-208x-11412\) 88.2.0.? $[ ]$
8800.f1 8800.f \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -105633, -12633137]$ \(y^2=x^3+x^2-105633x-12633137\) 2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? $[ ]$
8800.f2 8800.f \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -104258, -12992012]$ \(y^2=x^3+x^2-104258x-12992012\) 2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? $[ ]$
8800.g1 8800.g \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.238962916$ $[0, 1, 0, -8, 88]$ \(y^2=x^3+x^2-8x+88\) 88.2.0.? $[(-2, 10)]$
8800.h1 8800.h \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -3158, -21812]$ \(y^2=x^3+x^2-3158x-21812\) 2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0.br.1, $\ldots$ $[ ]$
8800.h2 8800.h \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 11967, -157937]$ \(y^2=x^3+x^2+11967x-157937\) 2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.t.1, 88.12.0.?, $\ldots$ $[ ]$
8800.i1 8800.i \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $3.461399321$ $[0, -1, 0, -1133, -14363]$ \(y^2=x^3-x^2-1133x-14363\) 22.2.0.a.1 $[(71, 508)]$
8800.j1 8800.j \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.526864387$ $[0, -1, 0, -75008, 34525012]$ \(y^2=x^3-x^2-75008x+34525012\) 440.2.0.? $[(-28, 6050)]$
8800.k1 8800.k \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.707493883$ $[0, -1, 0, -8, 1012]$ \(y^2=x^3-x^2-8x+1012\) 440.2.0.? $[(12, 50)]$
8800.l1 8800.l \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $1.364526502$ $[0, -1, 0, -81408, 8968312]$ \(y^2=x^3-x^2-81408x+8968312\) 440.2.0.? $[(397, 6250)]$
8800.m1 8800.m \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 67, 1237]$ \(y^2=x^3-x^2+67x+1237\) 22.2.0.a.1 $[ ]$
8800.n1 8800.n \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $9.623849053$ $[0, 0, 0, -14675, -684250]$ \(y^2=x^3-14675x-684250\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.y.1.6, 88.24.0.?, $\ldots$ $[(52945/18, 6601375/18)]$
8800.n2 8800.n \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $2.405962263$ $[0, 0, 0, -2300, 28000]$ \(y^2=x^3-2300x+28000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.y.1.9, $\ldots$ $[(45, 125)]$
8800.n3 8800.n \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.811924526$ $[0, 0, 0, -925, -10500]$ \(y^2=x^3-925x-10500\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.3, 44.12.0.a.1, $\ldots$ $[(545/2, 12375/2)]$
8800.n4 8800.n \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $9.623849053$ $[0, 0, 0, 325, -36750]$ \(y^2=x^3+325x-36750\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.1, 40.24.0-40.s.1.4, $\ldots$ $[(65145/22, 16651125/22)]$
8800.o1 8800.o \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $5.948532758$ $[0, 0, 0, -14675, 684250]$ \(y^2=x^3-14675x+684250\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.y.1.14, 88.24.0.?, $\ldots$ $[(826/3, 8974/3)]$
8800.o2 8800.o \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $1.487133189$ $[0, 0, 0, -2300, -28000]$ \(y^2=x^3-2300x-28000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.y.1.1, $\ldots$ $[(85, 625)]$
8800.o3 8800.o \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.974266379$ $[0, 0, 0, -925, 10500]$ \(y^2=x^3-925x+10500\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.2, 44.12.0.a.1, $\ldots$ $[(64, 462)]$
8800.o4 8800.o \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $1.487133189$ $[0, 0, 0, 325, 36750]$ \(y^2=x^3+325x+36750\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.2, 40.24.0-40.s.1.2, $\ldots$ $[(-19, 154)]$
8800.p1 8800.p \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 67, -1237]$ \(y^2=x^3+x^2+67x-1237\) 22.2.0.a.1 $[ ]$
8800.q1 8800.q \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -81408, -8968312]$ \(y^2=x^3+x^2-81408x-8968312\) 440.2.0.? $[ ]$
8800.r1 8800.r \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -8, -1012]$ \(y^2=x^3+x^2-8x-1012\) 440.2.0.? $[ ]$
8800.s1 8800.s \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -75008, -34525012]$ \(y^2=x^3+x^2-75008x-34525012\) 440.2.0.? $[ ]$
8800.t1 8800.t \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -1133, 14363]$ \(y^2=x^3+x^2-1133x+14363\) 22.2.0.a.1 $[ ]$
8800.u1 8800.u \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -3158, 21812]$ \(y^2=x^3-x^2-3158x+21812\) 2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0.br.1, $\ldots$ $[ ]$
8800.u2 8800.u \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 11967, 157937]$ \(y^2=x^3-x^2+11967x+157937\) 2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.t.1, 88.12.0.?, $\ldots$ $[ ]$
8800.v1 8800.v \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $3.550220624$ $[0, -1, 0, -105633, 12633137]$ \(y^2=x^3-x^2-105633x+12633137\) 2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? $[(347, 4200)]$
8800.v2 8800.v \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $1.775110312$ $[0, -1, 0, -104258, 12992012]$ \(y^2=x^3-x^2-104258x+12992012\) 2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? $[(253/2, 20625/2)]$
8800.w1 8800.w \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -8, -88]$ \(y^2=x^3-x^2-8x-88\) 88.2.0.? $[ ]$
8800.x1 8800.x \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $3.253980616$ $[0, -1, 0, -208, 11412]$ \(y^2=x^3-x^2-208x+11412\) 88.2.0.? $[(36, 222)]$
8800.y1 8800.y \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $2.675322291$ $[0, -1, 0, -1633, 25137]$ \(y^2=x^3-x^2-1633x+25137\) 2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? $[(72, 525)]$
8800.y2 8800.y \( 2^{5} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $1.337661145$ $[0, -1, 0, -258, -988]$ \(y^2=x^3-x^2-258x-988\) 2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? $[(32, 150)]$
8800.z1 8800.z \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -115, 650]$ \(y^2=x^3-115x+650\) 3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.? $[ ]$
8800.ba1 8800.ba \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2875, -81250]$ \(y^2=x^3-2875x-81250\) 3.3.0.a.1, 12.6.0.d.1, 440.2.0.?, 1320.12.1.? $[ ]$
8800.bb1 8800.bb \( 2^{5} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 200, 14000]$ \(y^2=x^3+200x+14000\) 3.3.0.a.1, 12.6.0.d.1, 22.2.0.a.1, 66.6.1.a.1, 132.12.1.? $[ ]$
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