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

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Results (1-50 of 120 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
9792.a1 9792.a \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $1.880172825$ $[0, 0, 0, -1452, -13520]$ \(y^2=x^3-1452x-13520\) 2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? $[(-28, 72)]$
9792.a2 9792.a \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $0.940086412$ $[0, 0, 0, 4308, -94160]$ \(y^2=x^3+4308x-94160\) 2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? $[(54, 544)]$
9792.b1 9792.b \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1452, 13520]$ \(y^2=x^3-1452x+13520\) 2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? $[ ]$
9792.b2 9792.b \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 4308, 94160]$ \(y^2=x^3+4308x+94160\) 2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? $[ ]$
9792.c1 9792.c \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -624, -12256]$ \(y^2=x^3-624x-12256\) 102.2.0.? $[ ]$
9792.d1 9792.d \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $0.820929337$ $[0, 0, 0, 6, 74]$ \(y^2=x^3+6x+74\) 102.2.0.? $[(1, 9)]$
9792.e1 9792.e \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1824, -29984]$ \(y^2=x^3-1824x-29984\) 3.4.0.a.1, 24.8.0-3.a.1.4, 102.8.0.?, 408.16.0.? $[ ]$
9792.e2 9792.e \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -864, -61344]$ \(y^2=x^3-864x-61344\) 3.4.0.a.1, 24.8.0-3.a.1.3, 102.8.0.?, 408.16.0.? $[ ]$
9792.f1 9792.f \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $0.714967140$ $[0, 0, 0, 6, -74]$ \(y^2=x^3+6x-74\) 102.2.0.? $[(5, 9)]$
9792.g1 9792.g \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $0.880222441$ $[0, 0, 0, -1824, 29984]$ \(y^2=x^3-1824x+29984\) 3.4.0.a.1, 24.8.0-3.a.1.2, 102.8.0.?, 408.16.0.? $[(25, 3)]$
9792.g2 9792.g \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $2.640667323$ $[0, 0, 0, -864, 61344]$ \(y^2=x^3-864x+61344\) 3.4.0.a.1, 24.8.0-3.a.1.1, 102.8.0.?, 408.16.0.? $[(-39, 189)]$
9792.h1 9792.h \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $1.045033804$ $[0, 0, 0, -624, 12256]$ \(y^2=x^3-624x+12256\) 102.2.0.? $[(17, 81)]$
9792.i1 9792.i \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $4.990329480$ $[0, 0, 0, -52236, -4595184]$ \(y^2=x^3-52236x-4595184\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 24.24.0-8.o.1.5, $\ldots$ $[(309, 2961)]$
9792.i2 9792.i \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.495164740$ $[0, 0, 0, -3276, -71280]$ \(y^2=x^3-3276x-71280\) 2.6.0.a.1, 4.12.0.a.1, 8.24.0.f.1, 16.48.0.c.2, 24.48.0-8.f.1.2, $\ldots$ $[(-32, 28)]$
9792.i3 9792.i \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $4.990329480$ $[0, 0, 0, -396, -192240]$ \(y^2=x^3-396x-192240\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 12.24.0-4.d.1.2, 16.48.0.m.2, $\ldots$ $[(256, 4060)]$
9792.i4 9792.i \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $1.247582370$ $[0, 0, 0, -396, 1296]$ \(y^2=x^3-396x+1296\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 24.24.0-8.o.1.7, $\ldots$ $[(0, 36)]$
9792.j1 9792.j \( 2^{6} \cdot 3^{2} \cdot 17 \) $2$ $\Z/2\Z$ $1.824285163$ $[0, 0, 0, -156, -304]$ \(y^2=x^3-156x-304\) 2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 34.6.0.a.1, 68.24.0.f.1, $\ldots$ $[(16, 36), (-11, 9)]$
9792.j2 9792.j \( 2^{6} \cdot 3^{2} \cdot 17 \) $2$ $\Z/2\Z$ $1.824285163$ $[0, 0, 0, 564, -2320]$ \(y^2=x^3+564x-2320\) 2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$ $[(22, 144), (166, 2160)]$
9792.k1 9792.k \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -15980556, 24588721136]$ \(y^2=x^3-15980556x+24588721136\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 12.12.0-4.c.1.1, 16.48.0.l.2, $\ldots$ $[ ]$
9792.k2 9792.k \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -998796, 384189680]$ \(y^2=x^3-998796x+384189680\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.1, 12.24.0-4.b.1.2, 24.96.0-8.e.1.7, $\ldots$ $[ ]$
9792.k3 9792.k \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -946956, 425848304]$ \(y^2=x^3-946956x+425848304\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.2, 12.12.0-4.c.1.2, 24.96.0-8.m.2.2, $\ldots$ $[ ]$
9792.k4 9792.k \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -65676, 5342960]$ \(y^2=x^3-65676x+5342960\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.2, 24.96.0-8.h.2.2, 68.24.0.c.1, $\ldots$ $[ ]$
9792.k5 9792.k \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -19596, -979216]$ \(y^2=x^3-19596x-979216\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.bb.1, 24.48.0-8.bb.1.5, $\ldots$ $[ ]$
9792.k6 9792.k \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 130164, 31115504]$ \(y^2=x^3+130164x+31115504\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.y.2, 24.48.0-8.ba.2.1, $\ldots$ $[ ]$
9792.l1 9792.l \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $27.30006195$ $[0, 0, 0, -15980556, -24588721136]$ \(y^2=x^3-15980556x-24588721136\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 12.12.0-4.c.1.2, 16.48.0.l.2, $\ldots$ $[(1728757452581/13585, 2017687814314379271/13585)]$
9792.l2 9792.l \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $13.65003097$ $[0, 0, 0, -998796, -384189680]$ \(y^2=x^3-998796x-384189680\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.1, 12.24.0-4.b.1.2, 24.96.0-8.e.1.3, $\ldots$ $[(-9569984/129, 206111620/129)]$
9792.l3 9792.l \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $6.825015489$ $[0, 0, 0, -946956, -425848304]$ \(y^2=x^3-946956x-425848304\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.2, 12.12.0-4.c.1.1, 24.96.0-8.m.2.4, $\ldots$ $[(30866/5, 2117664/5)]$
9792.l4 9792.l \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.825015489$ $[0, 0, 0, -65676, -5342960]$ \(y^2=x^3-65676x-5342960\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.2, 24.96.0-8.h.2.4, 68.24.0.c.1, $\ldots$ $[(-1088/3, 24596/3)]$
9792.l5 9792.l \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $3.412507744$ $[0, 0, 0, -19596, 979216]$ \(y^2=x^3-19596x+979216\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.bb.1, 24.48.0-8.bb.1.6, $\ldots$ $[(-64, 1404)]$
9792.l6 9792.l \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $13.65003097$ $[0, 0, 0, 130164, -31115504]$ \(y^2=x^3+130164x-31115504\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.y.2, 24.48.0-8.ba.2.2, $\ldots$ $[(1454656/33, 1806225148/33)]$
9792.m1 9792.m \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $1.393735213$ $[0, 0, 0, -156, 304]$ \(y^2=x^3-156x+304\) 2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 34.6.0.a.1, 68.24.0.f.1, $\ldots$ $[(-6, 32)]$
9792.m2 9792.m \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $2.787470426$ $[0, 0, 0, 564, 2320]$ \(y^2=x^3+564x+2320\) 2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$ $[(12, 104)]$
9792.n1 9792.n \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -52236, 4595184]$ \(y^2=x^3-52236x+4595184\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 24.24.0-8.o.1.7, $\ldots$ $[ ]$
9792.n2 9792.n \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -3276, 71280]$ \(y^2=x^3-3276x+71280\) 2.6.0.a.1, 4.12.0.a.1, 8.24.0.f.1, 16.48.0.c.2, 24.48.0-8.f.1.2, $\ldots$ $[ ]$
9792.n3 9792.n \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -396, -1296]$ \(y^2=x^3-396x-1296\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 24.24.0-8.o.1.5, $\ldots$ $[ ]$
9792.n4 9792.n \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -396, 192240]$ \(y^2=x^3-396x+192240\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 12.24.0-4.d.1.2, 16.48.0.m.2, $\ldots$ $[ ]$
9792.o1 9792.o \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -58368, -5435296]$ \(y^2=x^3-58368x-5435296\) 102.2.0.? $[ ]$
9792.p1 9792.p \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -108, -486]$ \(y^2=x^3-108x-486\) 102.2.0.? $[ ]$
9792.q1 9792.q \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $3.323903803$ $[0, 0, 0, -318, -2194]$ \(y^2=x^3-318x-2194\) 102.2.0.? $[(73, 603)]$
9792.r1 9792.r \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 432, -864]$ \(y^2=x^3+432x-864\) 102.2.0.? $[ ]$
9792.s1 9792.s \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -498, -12134]$ \(y^2=x^3-498x-12134\) 102.2.0.? $[ ]$
9792.t1 9792.t \( 2^{6} \cdot 3^{2} \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -498, 12134]$ \(y^2=x^3-498x+12134\) 102.2.0.? $[ ]$
9792.u1 9792.u \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $2.583884906$ $[0, 0, 0, 432, 864]$ \(y^2=x^3+432x+864\) 102.2.0.? $[(57, 459)]$
9792.v1 9792.v \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $0.524682291$ $[0, 0, 0, -318, 2194]$ \(y^2=x^3-318x+2194\) 102.2.0.? $[(5, 27)]$
9792.w1 9792.w \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $1.159378227$ $[0, 0, 0, -108, 486]$ \(y^2=x^3-108x+486\) 102.2.0.? $[(-9, 27)]$
9792.x1 9792.x \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\mathsf{trivial}$ $1.861616808$ $[0, 0, 0, -58368, 5435296]$ \(y^2=x^3-58368x+5435296\) 102.2.0.? $[(-247, 2187)]$
9792.y1 9792.y \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $1.801795849$ $[0, 0, 0, -65100, 4417904]$ \(y^2=x^3-65100x+4417904\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 8.6.0.b.1, 24.48.0-24.y.1.1, $\ldots$ $[(5, 2023)]$
9792.y2 9792.y \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $0.900897924$ $[0, 0, 0, -59340, 5562992]$ \(y^2=x^3-59340x+5562992\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.11, $\ldots$ $[(14, 2176)]$
9792.y3 9792.y \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $5.405387547$ $[0, 0, 0, -24780, -1501072]$ \(y^2=x^3-24780x-1501072\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 8.6.0.b.1, 24.48.0-24.y.1.3, $\ldots$ $[(5416, 398412)]$
9792.y4 9792.y \( 2^{6} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z$ $2.702693773$ $[0, 0, 0, -1740, -17296]$ \(y^2=x^3-1740x-17296\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.5, $\ldots$ $[(-35, 27)]$
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