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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 (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
36800.a1 36800.a \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $0.859158197$ $[0, 0, 0, -5500, 157000]$ \(y^2=x^3-5500x+157000\) 46.2.0.a.1 $[(45, 25)]$
36800.b1 36800.b \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -7300, -2453000]$ \(y^2=x^3-7300x-2453000\) 46.2.0.a.1 $[ ]$
36800.c1 36800.c \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $2.397326106$ $[0, 0, 0, -18700, 991000]$ \(y^2=x^3-18700x+991000\) 46.2.0.a.1 $[(85, 125)]$
36800.d1 36800.d \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 500, -31760]$ \(y^2=x^3+500x-31760\) 8.2.0.a.1 $[ ]$
36800.e1 36800.e \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.086279938$ $[0, 0, 0, -100, 1000]$ \(y^2=x^3-100x+1000\) 46.2.0.a.1 $[(5, 25)]$
36800.f1 36800.f \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 12500, 3970000]$ \(y^2=x^3+12500x+3970000\) 8.2.0.a.1 $[ ]$
36800.g1 36800.g \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $7.192107298$ $[0, 1, 0, -182383, -30041637]$ \(y^2=x^3+x^2-182383x-30041637\) 230.2.0.? $[(1082, 32257)]$
36800.h1 36800.h \( 2^{6} \cdot 5^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $0.303606170$ $[0, 1, 0, -833, 8863]$ \(y^2=x^3+x^2-833x+8863\) 92.2.0.? $[(3, 80), (13, 20)]$
36800.i1 36800.i \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -20833, -1149537]$ \(y^2=x^3+x^2-20833x-1149537\) 92.2.0.? $[ ]$
36800.j1 36800.j \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.231232553$ $[0, 1, 0, -353, -2657]$ \(y^2=x^3+x^2-353x-2657\) 92.2.0.? $[(-11, 4)]$
36800.k1 36800.k \( 2^{6} \cdot 5^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $1.079814258$ $[0, 1, 0, -783, 8563]$ \(y^2=x^3+x^2-783x+8563\) 230.2.0.? $[(-22, 125), (18, 25)]$
36800.l1 36800.l \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 617, -1483137]$ \(y^2=x^3+x^2+617x-1483137\) 230.2.0.? $[ ]$
36800.m1 36800.m \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $0.356215316$ $[0, 1, 0, -8833, 314463]$ \(y^2=x^3+x^2-8833x+314463\) 92.2.0.? $[(83, 400)]$
36800.n1 36800.n \( 2^{6} \cdot 5^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $1.447027601$ $[0, 1, 0, -36833, -1361537]$ \(y^2=x^3+x^2-36833x-1361537\) 92.2.0.? $[(883, 25600), (-141, 1024)]$
36800.o1 36800.o \( 2^{6} \cdot 5^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $0.170524909$ $[0, 1, 0, -4433, 110863]$ \(y^2=x^3+x^2-4433x+110863\) 3.4.0.a.1, 24.8.0-3.a.1.3, 92.2.0.?, 276.8.0.?, 552.16.0.? $[(19, 184), (-27, 460)]$
36800.o2 36800.o \( 2^{6} \cdot 5^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $1.534724184$ $[0, 1, 0, -433, -3537]$ \(y^2=x^3+x^2-433x-3537\) 3.4.0.a.1, 24.8.0-3.a.1.4, 92.2.0.?, 276.8.0.?, 552.16.0.? $[(-13, 8), (-11, 4)]$
36800.p1 36800.p \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $3.756466427$ $[0, 1, 0, -186433, -31045857]$ \(y^2=x^3+x^2-186433x-31045857\) 3.4.0.a.1, 92.2.0.?, 120.8.0.?, 276.8.0.?, 2760.16.0.? $[(-42189/13, 768/13)]$
36800.p2 36800.p \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.252155475$ $[0, 1, 0, -2433, -38177]$ \(y^2=x^3+x^2-2433x-38177\) 3.4.0.a.1, 92.2.0.?, 120.8.0.?, 276.8.0.?, 2760.16.0.? $[(-21, 64)]$
36800.q1 36800.q \( 2^{6} \cdot 5^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $2.278167087$ $[0, 1, 0, -1833, 29713]$ \(y^2=x^3+x^2-1833x+29713\) 230.2.0.? $[(8, 125), (157/2, 1125/2)]$
36800.r1 36800.r \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $2.849626117$ $[0, 1, 0, -73, -267]$ \(y^2=x^3+x^2-73x-267\) 230.2.0.? $[(12, 27)]$
36800.s1 36800.s \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.712940412$ $[0, 1, 0, -4660833, 3871410463]$ \(y^2=x^3+x^2-4660833x+3871410463\) 3.4.0.a.1, 24.8.0-3.a.1.3, 92.2.0.?, 276.8.0.?, 552.16.0.? $[(1233, 800)]$
36800.s2 36800.s \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $5.138821236$ $[0, 1, 0, -60833, 4650463]$ \(y^2=x^3+x^2-60833x+4650463\) 3.4.0.a.1, 24.8.0-3.a.1.4, 92.2.0.?, 276.8.0.?, 552.16.0.? $[(-143, 3232)]$
36800.t1 36800.t \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -110833, -14079537]$ \(y^2=x^3+x^2-110833x-14079537\) 3.4.0.a.1, 92.2.0.?, 120.8.0.?, 276.8.0.?, 2760.16.0.? $[ ]$
36800.t2 36800.t \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -10833, 420463]$ \(y^2=x^3+x^2-10833x+420463\) 3.4.0.a.1, 92.2.0.?, 120.8.0.?, 276.8.0.?, 2760.16.0.? $[ ]$
36800.u1 36800.u \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -1473, 10303]$ \(y^2=x^3+x^2-1473x+10303\) 92.2.0.? $[ ]$
36800.v1 36800.v \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.403572128$ $[0, 1, 0, -8, -2]$ \(y^2=x^3+x^2-8x-2\) 92.2.0.? $[(-3, 2)]$
36800.w1 36800.w \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $3.260741401$ $[0, 1, 0, 667, 40963]$ \(y^2=x^3+x^2+667x+40963\) 230.2.0.? $[(157/2, 2875/2)]$
36800.x1 36800.x \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 27, -317]$ \(y^2=x^3+x^2+27x-317\) 230.2.0.? $[ ]$
36800.y1 36800.y \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -208, -162]$ \(y^2=x^3+x^2-208x-162\) 92.2.0.? $[ ]$
36800.z1 36800.z \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 117, -137]$ \(y^2=x^3+x^2+117x-137\) 230.2.0.? $[ ]$
36800.ba1 36800.ba \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.441259433$ $[0, -1, 0, -4633, -542863]$ \(y^2=x^3-x^2-4633x-542863\) 3.4.0.a.1, 46.2.0.a.1, 120.8.0.?, 138.8.0.?, 2760.16.0.? $[(112, 575)]$
36800.ba2 36800.ba \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $4.323778299$ $[0, -1, 0, 41367, 14039137]$ \(y^2=x^3-x^2+41367x+14039137\) 3.4.0.a.1, 46.2.0.a.1, 120.8.0.?, 138.8.0.?, 2760.16.0.? $[(-128, 2575)]$
36800.bb1 36800.bb \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $2.807470780$ $[0, -1, 0, 367, -3863]$ \(y^2=x^3-x^2+367x-3863\) 46.2.0.a.1 $[(72, 625)]$
36800.bc1 36800.bc \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.237105565$ $[0, -1, 0, -33, 937]$ \(y^2=x^3-x^2-33x+937\) 46.2.0.a.1 $[(-8, 25)]$
36800.bd1 36800.bd \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -33, -23063]$ \(y^2=x^3-x^2-33x-23063\) 46.2.0.a.1 $[ ]$
36800.be1 36800.be \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1833, 37537]$ \(y^2=x^3-x^2-1833x+37537\) 3.4.0.a.1, 46.2.0.a.1, 120.8.0.?, 138.8.0.?, 2760.16.0.? $[ ]$
36800.be2 36800.be \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 167, -463]$ \(y^2=x^3-x^2+167x-463\) 3.4.0.a.1, 46.2.0.a.1, 120.8.0.?, 138.8.0.?, 2760.16.0.? $[ ]$
36800.bf1 36800.bf \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1033, 13937]$ \(y^2=x^3-x^2-1033x+13937\) 46.2.0.a.1 $[ ]$
36800.bg1 36800.bg \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.925484795$ $[0, -1, 0, -2433, -46463]$ \(y^2=x^3-x^2-2433x-46463\) 8.2.0.a.1 $[(193, 2576)]$
36800.bh1 36800.bh \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -433, 3737]$ \(y^2=x^3-x^2-433x+3737\) 46.2.0.a.1 $[ ]$
36800.bi1 36800.bi \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.338894991$ $[0, -1, 0, -60833, 5929537]$ \(y^2=x^3-x^2-60833x+5929537\) 8.2.0.a.1 $[(141, 368)]$
36800.bj1 36800.bj \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\Z/2\Z$ $0.871555039$ $[0, 0, 0, -3500, 62000]$ \(y^2=x^3-3500x+62000\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[(70, 400)]$
36800.bj2 36800.bj \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\Z/2\Z$ $1.743110079$ $[0, 0, 0, 500, 6000]$ \(y^2=x^3+500x+6000\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[(6, 96)]$
36800.bk1 36800.bk \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\Z/2\Z$ $1.736906800$ $[0, 0, 0, -272300, 54690000]$ \(y^2=x^3-272300x+54690000\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[(-150, 9600)]$
36800.bk2 36800.bk \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\Z/2\Z$ $3.473813600$ $[0, 0, 0, -16300, 930000]$ \(y^2=x^3-16300x+930000\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[(300, 4800)]$
36800.bl1 36800.bl \( 2^{6} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $3.425742756$ $[0, 0, 0, -335, -2360]$ \(y^2=x^3-335x-2360\) 92.2.0.? $[(-264/5, 16/5)]$
36800.bm1 36800.bm \( 2^{6} \cdot 5^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $0.749304076$ $[0, 0, 0, -110, 650]$ \(y^2=x^3-110x+650\) 3.3.0.a.1, 12.6.0.d.1, 230.2.0.?, 690.6.1.?, 1380.12.1.? $[(-11, 23), (25/2, 115/2)]$
36800.bn1 36800.bn \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2750, -81250]$ \(y^2=x^3-2750x-81250\) 3.3.0.a.1, 12.6.0.d.1, 230.2.0.?, 690.6.1.?, 1380.12.1.? $[ ]$
36800.bo1 36800.bo \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -8375, 295000]$ \(y^2=x^3-8375x+295000\) 92.2.0.? $[ ]$
36800.bp1 36800.bp \( 2^{6} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -8007500, -8713350000]$ \(y^2=x^3-8007500x-8713350000\) 92.2.0.? $[ ]$
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