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The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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Results (32 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
10368.a1 10368.a \( 2^{7} \cdot 3^{4} \) $2$ $\mathsf{trivial}$ $1.016754877$ $[0, 0, 0, 6, 4]$ \(y^2=x^3+6x+4\) 4.2.0.a.1, 8.4.0-4.a.1.1 $[(0, 2), (3, 7)]$
10368.b1 10368.b \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $1.747393186$ $[0, 0, 0, 216, -864]$ \(y^2=x^3+216x-864\) 4.2.0.a.1, 12.4.0-4.a.1.1 $[(4, 8)]$
10368.c1 10368.c \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $0.966289721$ $[0, 0, 0, 6, -4]$ \(y^2=x^3+6x-4\) 4.2.0.a.1, 8.4.0-4.a.1.1 $[(2, 4)]$
10368.d1 10368.d \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $0.674651306$ $[0, 0, 0, 216, 864]$ \(y^2=x^3+216x+864\) 4.2.0.a.1, 12.4.0-4.a.1.1 $[(12, 72)]$
10368.e1 10368.e \( 2^{7} \cdot 3^{4} \) $2$ $\mathsf{trivial}$ $0.201770965$ $[0, 0, 0, -36, 144]$ \(y^2=x^3-36x+144\) 8.2.0.a.1 $[(6, 12), (-6, 12)]$
10368.f1 10368.f \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -81, -486]$ \(y^2=x^3-81x-486\) 8.2.0.a.1 $[ ]$
10368.g1 10368.g \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -36, -144]$ \(y^2=x^3-36x-144\) 8.2.0.a.1 $[ ]$
10368.h1 10368.h \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $2.618154286$ $[0, 0, 0, -81, 486]$ \(y^2=x^3-81x+486\) 8.2.0.a.1 $[(10, 26)]$
10368.i1 10368.i \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -648, -7776]$ \(y^2=x^3-648x-7776\) 4.4.0-4.a.1.1 $[ ]$
10368.j1 10368.j \( 2^{7} \cdot 3^{4} \) $2$ $\mathsf{trivial}$ $0.297230264$ $[0, 0, 0, -18, 36]$ \(y^2=x^3-18x+36\) 4.2.0.a.1, 24.4.0-4.a.1.1 $[(0, 6), (3, 3)]$
10368.k1 10368.k \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -39528, -3024864]$ \(y^2=x^3-39528x-3024864\) 4.4.0-4.a.1.1, 5.5.0.a.1, 20.20.0-20.a.1.2 $[ ]$
10368.l1 10368.l \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $0.691628983$ $[0, 0, 0, -1098, 14004]$ \(y^2=x^3-1098x+14004\) 4.2.0.a.1, 5.5.0.a.1, 20.10.0.a.1, 24.4.0-4.a.1.1, 120.20.0.? $[(19, 1)]$
10368.m1 10368.m \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -39528, 3024864]$ \(y^2=x^3-39528x+3024864\) 4.4.0-4.a.1.1, 5.5.0.a.1, 20.20.0-20.a.1.2 $[ ]$
10368.n1 10368.n \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1098, -14004]$ \(y^2=x^3-1098x-14004\) 4.2.0.a.1, 5.5.0.a.1, 20.10.0.a.1, 24.4.0-4.a.1.1, 120.20.0.? $[ ]$
10368.o1 10368.o \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -648, 7776]$ \(y^2=x^3-648x+7776\) 4.4.0-4.a.1.1 $[ ]$
10368.p1 10368.p \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $2.183582960$ $[0, 0, 0, -18, -36]$ \(y^2=x^3-18x-36\) 4.2.0.a.1, 24.4.0-4.a.1.1 $[(10, 28)]$
10368.q1 10368.q \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $0.985838998$ $[0, 0, 0, -72, 288]$ \(y^2=x^3-72x+288\) 4.2.0.a.1, 12.4.0-4.a.1.1 $[(4, 8)]$
10368.r1 10368.r \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $3.284221516$ $[0, 0, 0, -162, -972]$ \(y^2=x^3-162x-972\) 4.2.0.a.1, 8.4.0-4.a.1.1 $[(19, 53)]$
10368.s1 10368.s \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $0.417403692$ $[0, 0, 0, -4392, 112032]$ \(y^2=x^3-4392x+112032\) 4.2.0.a.1, 5.5.0.a.1, 12.4.0-4.a.1.1, 20.10.0.a.1, 60.20.0-20.a.1.2 $[(36, 24)]$
10368.t1 10368.t \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -9882, -378108]$ \(y^2=x^3-9882x-378108\) 4.2.0.a.1, 5.5.0.a.1, 8.4.0-4.a.1.1, 20.10.0.a.1, 40.20.0-20.a.1.1 $[ ]$
10368.u1 10368.u \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $8.540288709$ $[0, 0, 0, -4392, -112032]$ \(y^2=x^3-4392x-112032\) 4.2.0.a.1, 5.5.0.a.1, 12.4.0-4.a.1.1, 20.10.0.a.1, 60.20.0-20.a.1.2 $[(13516/5, 1558936/5)]$
10368.v1 10368.v \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $1.571582152$ $[0, 0, 0, -9882, 378108]$ \(y^2=x^3-9882x+378108\) 4.2.0.a.1, 5.5.0.a.1, 8.4.0-4.a.1.1, 20.10.0.a.1, 40.20.0-20.a.1.1 $[(58, 8)]$
10368.w1 10368.w \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $1.068550712$ $[0, 0, 0, -72, -288]$ \(y^2=x^3-72x-288\) 4.2.0.a.1, 12.4.0-4.a.1.1 $[(12, 24)]$
10368.x1 10368.x \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -162, 972]$ \(y^2=x^3-162x+972\) 4.2.0.a.1, 8.4.0-4.a.1.1 $[ ]$
10368.y1 10368.y \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -324, -3888]$ \(y^2=x^3-324x-3888\) 8.2.0.a.1 $[ ]$
10368.z1 10368.z \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -9, 18]$ \(y^2=x^3-9x+18\) 8.2.0.a.1 $[ ]$
10368.ba1 10368.ba \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -324, 3888]$ \(y^2=x^3-324x+3888\) 8.2.0.a.1 $[ ]$
10368.bb1 10368.bb \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $1.342614398$ $[0, 0, 0, -9, -18]$ \(y^2=x^3-9x-18\) 8.2.0.a.1 $[(6, 12)]$
10368.bc1 10368.bc \( 2^{7} \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $0.711092309$ $[0, 0, 0, 54, -108]$ \(y^2=x^3+54x-108\) 4.2.0.a.1, 24.4.0-4.a.1.1 $[(3, 9)]$
10368.bd1 10368.bd \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 24, 32]$ \(y^2=x^3+24x+32\) 4.4.0-4.a.1.1 $[ ]$
10368.be1 10368.be \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 54, 108]$ \(y^2=x^3+54x+108\) 4.2.0.a.1, 24.4.0-4.a.1.1 $[ ]$
10368.bf1 10368.bf \( 2^{7} \cdot 3^{4} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 24, -32]$ \(y^2=x^3+24x-32\) 4.4.0-4.a.1.1 $[ ]$
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