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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 56 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
324288.a1 324288.a \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $7.300111193$ $[0, 0, 0, -8652, -310160]$ \(y^2=x^3-8652x-310160\) 1126.2.0.? $[(997/3, 8137/3)]$
324288.b1 324288.b \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 168, 520]$ \(y^2=x^3+168x+520\) 1126.2.0.? $[ ]$
324288.c1 324288.c \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 168, -520]$ \(y^2=x^3+168x-520\) 1126.2.0.? $[ ]$
324288.d1 324288.d \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $4.005063140$ $[0, 0, 0, -8652, 310160]$ \(y^2=x^3-8652x+310160\) 1126.2.0.? $[(77, 317)]$
324288.e1 324288.e \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $4.777464819$ $[0, 0, 0, -459, -3996]$ \(y^2=x^3-459x-3996\) 6756.2.0.? $[(417/4, 2673/4)]$
324288.f1 324288.f \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $4.333404617$ $[0, 0, 0, 34836, -11540144]$ \(y^2=x^3+34836x-11540144\) 6756.2.0.? $[(857/2, 19197/2)]$
324288.g1 324288.g \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $2.667771785$ $[0, 0, 0, 34836, 11540144]$ \(y^2=x^3+34836x+11540144\) 6756.2.0.? $[(230, 5632)]$
324288.h1 324288.h \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -459, 3996]$ \(y^2=x^3-459x+3996\) 6756.2.0.? $[ ]$
324288.i1 324288.i \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\Z/2\Z$ $1.662434066$ $[0, 0, 0, -18636, 935824]$ \(y^2=x^3-18636x+935824\) 2.3.0.a.1, 12.6.0.a.1, 2252.6.0.?, 6756.12.0.? $[(146, 1152)]$
324288.i2 324288.i \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\Z/2\Z$ $3.324868132$ $[0, 0, 0, -3276, -53360]$ \(y^2=x^3-3276x-53360\) 2.3.0.a.1, 12.6.0.b.1, 2252.6.0.?, 3378.6.0.?, 6756.12.0.? $[(-19, 45)]$
324288.j1 324288.j \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $8.796711517$ $[0, 0, 0, 1044, -61776]$ \(y^2=x^3+1044x-61776\) 1126.2.0.? $[(6589, 534853)]$
324288.k1 324288.k \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -4388556, -3628245904]$ \(y^2=x^3-4388556x-3628245904\) 13512.2.0.? $[ ]$
324288.l1 324288.l \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $4.027093671$ $[0, 0, 0, -156, -4016]$ \(y^2=x^3-156x-4016\) 1126.2.0.? $[(45, 283)]$
324288.m1 324288.m \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -11436, -470736]$ \(y^2=x^3-11436x-470736\) 13512.2.0.? $[ ]$
324288.n1 324288.n \( 2^{6} \cdot 3^{2} \cdot 563 \) $2$ $\mathsf{trivial}$ $3.032524560$ $[0, 0, 0, -11436, 470736]$ \(y^2=x^3-11436x+470736\) 13512.2.0.? $[(60, 24), (48, 180)]$
324288.o1 324288.o \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $3.422505955$ $[0, 0, 0, -156, 4016]$ \(y^2=x^3-156x+4016\) 1126.2.0.? $[(-19, 11)]$
324288.p1 324288.p \( 2^{6} \cdot 3^{2} \cdot 563 \) $2$ $\mathsf{trivial}$ $10.54069171$ $[0, 0, 0, -4388556, 3628245904]$ \(y^2=x^3-4388556x+3628245904\) 13512.2.0.? $[(-430, 73728), (1884, 45248)]$
324288.q1 324288.q \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $6.385294915$ $[0, 0, 0, 1044, 61776]$ \(y^2=x^3+1044x+61776\) 1126.2.0.? $[(109/3, 7453/3)]$
324288.r1 324288.r \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\Z/2\Z$ $11.72410983$ $[0, 0, 0, -18636, -935824]$ \(y^2=x^3-18636x-935824\) 2.3.0.a.1, 12.6.0.a.1, 2252.6.0.?, 6756.12.0.? $[(-268696/55, 22751092/55)]$
324288.r2 324288.r \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\Z/2\Z$ $5.862054917$ $[0, 0, 0, -3276, 53360]$ \(y^2=x^3-3276x+53360\) 2.3.0.a.1, 12.6.0.b.1, 2252.6.0.?, 3378.6.0.?, 6756.12.0.? $[(424/5, 6468/5)]$
324288.s1 324288.s \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -543, -34936]$ \(y^2=x^3-543x-34936\) 6756.2.0.? $[ ]$
324288.t1 324288.t \( 2^{6} \cdot 3^{2} \cdot 563 \) $2$ $\mathsf{trivial}$ $1.953040455$ $[0, 0, 0, 372, 1264]$ \(y^2=x^3+372x+1264\) 6756.2.0.? $[(14, 96), (5, 57)]$
324288.u1 324288.u \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 372, -1264]$ \(y^2=x^3+372x-1264\) 6756.2.0.? $[ ]$
324288.v1 324288.v \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $3.165945982$ $[0, 0, 0, -543, 34936]$ \(y^2=x^3-543x+34936\) 6756.2.0.? $[(-79/4, 12393/4)]$
324288.w1 324288.w \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $4.626499093$ $[0, 0, 0, -3180, -74864]$ \(y^2=x^3-3180x-74864\) 13512.2.0.? $[(69, 185)]$
324288.x1 324288.x \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -360, -2808]$ \(y^2=x^3-360x-2808\) 1126.2.0.? $[ ]$
324288.y1 324288.y \( 2^{6} \cdot 3^{2} \cdot 563 \) $2$ $\mathsf{trivial}$ $1.697625910$ $[0, 0, 0, 180, 1936]$ \(y^2=x^3+180x+1936\) 13512.2.0.? $[(2, 48), (-3, 37)]$
324288.z1 324288.z \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $4.502165791$ $[0, 0, 0, 1620, -52272]$ \(y^2=x^3+1620x-52272\) 13512.2.0.? $[(61, 523)]$
324288.ba1 324288.ba \( 2^{6} \cdot 3^{2} \cdot 563 \) $2$ $\mathsf{trivial}$ $5.392462037$ $[0, 0, 0, 180, -1936]$ \(y^2=x^3+180x-1936\) 13512.2.0.? $[(8, 4), (13, 51)]$
324288.bb1 324288.bb \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $1.910090395$ $[0, 0, 0, 1620, 52272]$ \(y^2=x^3+1620x+52272\) 13512.2.0.? $[(24, 324)]$
324288.bc1 324288.bc \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -360, 2808]$ \(y^2=x^3-360x+2808\) 1126.2.0.? $[ ]$
324288.bd1 324288.bd \( 2^{6} \cdot 3^{2} \cdot 563 \) $2$ $\mathsf{trivial}$ $2.218265373$ $[0, 0, 0, -3180, 74864]$ \(y^2=x^3-3180x+74864\) 13512.2.0.? $[(40, 108), (13, 189)]$
324288.be1 324288.be \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $2.142837610$ $[0, 0, 0, 3348, -34128]$ \(y^2=x^3+3348x-34128\) 6756.2.0.? $[(22, 224)]$
324288.bf1 324288.bf \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -732, 21872]$ \(y^2=x^3-732x+21872\) 6756.2.0.? $[ ]$
324288.bg1 324288.bg \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $3.839320993$ $[0, 0, 0, 3348, 34128]$ \(y^2=x^3+3348x+34128\) 6756.2.0.? $[(-39/2, 189/2)]$
324288.bh1 324288.bh \( 2^{6} \cdot 3^{2} \cdot 563 \) $2$ $\mathsf{trivial}$ $2.518010239$ $[0, 0, 0, -732, -21872]$ \(y^2=x^3-732x-21872\) 6756.2.0.? $[(38, 72), (134, 1512)]$
324288.bi1 324288.bi \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\Z/2\Z$ $1.474835562$ $[0, 0, 0, -20244, 1108640]$ \(y^2=x^3-20244x+1108640\) 2.3.0.a.1, 8.6.0.d.1, 3378.6.0.?, 13512.12.0.? $[(85, 45)]$
324288.bi2 324288.bi \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\Z/2\Z$ $2.949671125$ $[0, 0, 0, -19884, 1149968]$ \(y^2=x^3-19884x+1149968\) 2.3.0.a.1, 8.6.0.a.1, 6756.6.0.?, 13512.12.0.? $[(61, 405)]$
324288.bj1 324288.bj \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -167724, -25267248]$ \(y^2=x^3-167724x-25267248\) 2.3.0.a.1, 12.6.0.a.1, 2252.6.0.?, 6756.12.0.? $[ ]$
324288.bj2 324288.bj \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -29484, 1440720]$ \(y^2=x^3-29484x+1440720\) 2.3.0.a.1, 12.6.0.b.1, 2252.6.0.?, 3378.6.0.?, 6756.12.0.? $[ ]$
324288.bk1 324288.bk \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -487884, -131279312]$ \(y^2=x^3-487884x-131279312\) 13512.2.0.? $[ ]$
324288.bl1 324288.bl \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $7.445845891$ $[0, 0, 0, 11796, 919888]$ \(y^2=x^3+11796x+919888\) 13512.2.0.? $[(661/3, 39887/3)]$
324288.bm1 324288.bm \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $6.453015097$ $[0, 0, 0, -102924, -12709872]$ \(y^2=x^3-102924x-12709872\) 13512.2.0.? $[(1084, 33904)]$
324288.bn1 324288.bn \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $4.044317649$ $[0, 0, 0, -102924, 12709872]$ \(y^2=x^3-102924x+12709872\) 13512.2.0.? $[(136, 1108)]$
324288.bo1 324288.bo \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $2.526559531$ $[0, 0, 0, 11796, -919888]$ \(y^2=x^3+11796x-919888\) 13512.2.0.? $[(181, 2673)]$
324288.bp1 324288.bp \( 2^{6} \cdot 3^{2} \cdot 563 \) $1$ $\mathsf{trivial}$ $0.549892104$ $[0, 0, 0, -487884, 131279312]$ \(y^2=x^3-487884x+131279312\) 13512.2.0.? $[(541, 5067)]$
324288.bq1 324288.bq \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -167724, 25267248]$ \(y^2=x^3-167724x+25267248\) 2.3.0.a.1, 12.6.0.a.1, 2252.6.0.?, 6756.12.0.? $[ ]$
324288.bq2 324288.bq \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -29484, -1440720]$ \(y^2=x^3-29484x-1440720\) 2.3.0.a.1, 12.6.0.b.1, 2252.6.0.?, 3378.6.0.?, 6756.12.0.? $[ ]$
324288.br1 324288.br \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -20244, -1108640]$ \(y^2=x^3-20244x-1108640\) 2.3.0.a.1, 8.6.0.d.1, 3378.6.0.?, 13512.12.0.? $[ ]$
324288.br2 324288.br \( 2^{6} \cdot 3^{2} \cdot 563 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -19884, -1149968]$ \(y^2=x^3-19884x-1149968\) 2.3.0.a.1, 8.6.0.a.1, 6756.6.0.?, 13512.12.0.? $[ ]$
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