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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 292 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
254016.a1 254016.a \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.344937803$ $[0, 0, 0, -5292, -740880]$ \(y^2=x^3-5292x-740880\) 8.2.0.a.1 $[(168, 1764)]$
254016.b1 254016.b \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $0.390503600$ $[0, 0, 0, -5292, 105840]$ \(y^2=x^3-5292x+105840\) 8.2.0.b.1 $[(-42, 504), (21, 63)]$
254016.c1 254016.c \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $3.419268102$ $[0, 0, 0, -28812, -1344560]$ \(y^2=x^3-28812x-1344560\) 8.2.0.b.1 $[(-54, 232)]$
254016.d1 254016.d \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $3.200376944$ $[0, 0, 0, -5292, 370440]$ \(y^2=x^3-5292x+370440\) 14.2.0.a.1 $[(133, 1421)]$
254016.e1 254016.e \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.604351520$ $[0, 0, 0, -3815532, 2556776880]$ \(y^2=x^3-3815532x+2556776880\) 8.2.0.b.1 $[(1542, 18432)]$
254016.f1 254016.f \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $5.701383365$ $[0, 0, 0, -8652, -276080]$ \(y^2=x^3-8652x-276080\) 8.2.0.b.1 $[(-416/3, 4276/3)]$
254016.g1 254016.g \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -3815532, -2556776880]$ \(y^2=x^3-3815532x-2556776880\) 8.2.0.b.1 $[ ]$
254016.h1 254016.h \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -8652, 276080]$ \(y^2=x^3-8652x+276080\) 8.2.0.b.1 $[ ]$
254016.i1 254016.i \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -5292, -370440]$ \(y^2=x^3-5292x-370440\) 14.2.0.a.1 $[ ]$
254016.j1 254016.j \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -5292, -105840]$ \(y^2=x^3-5292x-105840\) 8.2.0.b.1 $[ ]$
254016.k1 254016.k \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $5.243834275$ $[0, 0, 0, -28812, 1344560]$ \(y^2=x^3-28812x+1344560\) 8.2.0.b.1 $[(-19, 1373)]$
254016.l1 254016.l \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $2.303667798$ $[0, 0, 0, -5292, 740880]$ \(y^2=x^3-5292x+740880\) 8.2.0.a.1 $[(28, 784)]$
254016.m1 254016.m \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $4.229999199$ $[0, 0, 0, -231084, 110786256]$ \(y^2=x^3-231084x+110786256\) 3.4.0.a.1, 4.2.0.a.1, 12.16.0-12.a.1.1, 168.32.0.? $[(-560, 8036)]$
254016.m2 254016.m \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $12.68999759$ $[0, 0, 0, 2026836, -2588782896]$ \(y^2=x^3+2026836x-2588782896\) 3.4.0.a.1, 4.2.0.a.1, 12.16.0-12.a.1.1, 168.32.0.? $[(2415952/43, 3804973676/43)]$
254016.n1 254016.n \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $4.494616921$ $[0, 0, 0, -301644, -78681456]$ \(y^2=x^3-301644x-78681456\) 3.4.0.a.1, 12.8.0-3.a.1.4, 56.2.0.b.1, 168.16.0.? $[(1708, 66248)]$
254016.n2 254016.n \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.498205640$ $[0, 0, 0, 27636, 916496]$ \(y^2=x^3+27636x+916496\) 3.4.0.a.1, 12.8.0-3.a.1.3, 56.2.0.b.1, 168.16.0.? $[(140, 2744)]$
254016.o1 254016.o \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -7644, -257936]$ \(y^2=x^3-7644x-257936\) 3.4.0.a.1, 4.2.0.a.1, 5.5.0.a.1, 12.8.0.a.1, 15.20.1.a.1, $\ldots$ $[ ]$
254016.o2 254016.o \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 15876, -1333584]$ \(y^2=x^3+15876x-1333584\) 3.4.0.a.1, 4.2.0.a.1, 5.5.0.a.1, 12.8.0.a.1, 15.20.1.a.1, $\ldots$ $[ ]$
254016.p1 254016.p \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $3$ $\mathsf{trivial}$ $0.344929768$ $[0, 0, 0, -1764, 28224]$ \(y^2=x^3-1764x+28224\) 2.2.0.a.1, 12.4.0-2.a.1.1, 126.6.0.?, 252.12.0.? $[(42, 168), (21, 21), (0, 168)]$
254016.q1 254016.q \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $4.853184343$ $[0, 0, 0, -777924, -261382464]$ \(y^2=x^3-777924x-261382464\) 2.2.0.a.1, 28.4.0-2.a.1.1, 126.6.0.?, 252.12.0.? $[(-542, 1016)]$
254016.r1 254016.r \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $1.890853959$ $[0, 0, 0, -1148364, -459493776]$ \(y^2=x^3-1148364x-459493776\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0-6.a.1.2, 24.32.0-24.a.1.4, $\ldots$ $[(3822, 225792), (-588, 3528)]$
254016.r2 254016.r \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $1.890853959$ $[0, 0, 0, -160524, 24547824]$ \(y^2=x^3-160524x+24547824\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0-6.a.1.2, 24.32.0-24.a.2.3, $\ldots$ $[(-98, 6272), (196, 784)]$
254016.s1 254016.s \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $7.106475341$ $[0, 0, 0, -112280364, 457934816304]$ \(y^2=x^3-112280364x+457934816304\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.2, 126.24.0.?, $\ldots$ $[(150214/5, 1842688/5)]$
254016.s2 254016.s \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $2.368825113$ $[0, 0, 0, -1642284, 379972656]$ \(y^2=x^3-1642284x+379972656\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.1, 126.24.0.?, $\ldots$ $[(-138, 24576)]$
254016.t1 254016.t \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -37044, -2741256]$ \(y^2=x^3-37044x-2741256\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.2, 18.24.0.a.1, $\ldots$ $[ ]$
254016.t2 254016.t \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1764, 24696]$ \(y^2=x^3-1764x+24696\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.1, 18.24.0.a.1, $\ldots$ $[ ]$
254016.u1 254016.u \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -301644, -29910384]$ \(y^2=x^3-301644x-29910384\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 8.4.0-2.a.1.1, 12.16.0.a.1, $\ldots$ $[ ]$
254016.u2 254016.u \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -254604, -49447664]$ \(y^2=x^3-254604x-49447664\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 8.4.0-2.a.1.1, 12.16.0.a.2, $\ldots$ $[ ]$
254016.v1 254016.v \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $3.557829111$ $[0, 0, 0, -29484, -1932336]$ \(y^2=x^3-29484x-1932336\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 24.16.0.a.2, 28.4.0-2.a.1.1, $\ldots$ $[(298, 3968)]$
254016.v2 254016.v \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.185943037$ $[0, 0, 0, -2604, 49616]$ \(y^2=x^3-2604x+49616\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 24.16.0.a.1, 28.4.0-2.a.1.1, $\ldots$ $[(74, 512)]$
254016.w1 254016.w \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $4.003348370$ $[0, 0, 0, 441, 24696]$ \(y^2=x^3+441x+24696\) 4.2.0.a.1, 12.4.0-4.a.1.1 $[(364, 6958)]$
254016.x1 254016.x \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -37044, 2074464]$ \(y^2=x^3-37044x+2074464\) 2.2.0.a.1, 12.4.0-2.a.1.1, 126.6.0.?, 252.12.0.? $[ ]$
254016.y1 254016.y \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $1.941824752$ $[0, 0, 0, -84, -224]$ \(y^2=x^3-84x-224\) 2.2.0.a.1, 28.4.0-2.a.1.1, 126.6.0.?, 252.12.0.? $[(-6, 8), (-3, 1)]$
254016.z1 254016.z \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $2.465629329$ $[0, 0, 0, -19404, -1136016]$ \(y^2=x^3-19404x-1136016\) 3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 168.128.1.? $[(462, 9408), (168, 588)]$
254016.z2 254016.z \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $2.465629329$ $[0, 0, 0, 121716, 1629936]$ \(y^2=x^3+121716x+1629936\) 3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 168.128.1.? $[(30, 2304), (84, 3528)]$
254016.ba1 254016.ba \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $2.199297455$ $[0, 0, 0, -19404, 1136016]$ \(y^2=x^3-19404x+1136016\) 3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 168.128.1.? $[(28, 784)]$
254016.ba2 254016.ba \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $6.597892367$ $[0, 0, 0, 121716, -1629936]$ \(y^2=x^3+121716x-1629936\) 3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 168.128.1.? $[(10108, 1016848)]$
254016.bb1 254016.bb \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $0.943538344$ $[0, 0, 0, -37044, -2074464]$ \(y^2=x^3-37044x-2074464\) 2.2.0.a.1, 12.4.0-2.a.1.1, 126.6.0.?, 252.12.0.? $[(294, 3528), (-147, 441)]$
254016.bc1 254016.bc \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $1.442880670$ $[0, 0, 0, -84, 224]$ \(y^2=x^3-84x+224\) 2.2.0.a.1, 28.4.0-2.a.1.1, 126.6.0.?, 252.12.0.? $[(2, 8), (8, 8)]$
254016.bd1 254016.bd \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.970731763$ $[0, 0, 0, 441, -24696]$ \(y^2=x^3+441x-24696\) 4.2.0.a.1, 12.4.0-4.a.1.1 $[(28, 98)]$
254016.be1 254016.be \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $5.630520818$ $[0, 0, 0, -1148364, 459493776]$ \(y^2=x^3-1148364x+459493776\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0-6.a.1.2, 24.32.0-24.a.1.5, $\ldots$ $[(3490/3, 229888/3)]$
254016.be2 254016.be \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.876840272$ $[0, 0, 0, -160524, -24547824]$ \(y^2=x^3-160524x-24547824\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0-6.a.1.2, 24.32.0-24.a.2.6, $\ldots$ $[(-222, 384)]$
254016.bf1 254016.bf \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -112280364, -457934816304]$ \(y^2=x^3-112280364x-457934816304\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.2, 126.24.0.?, $\ldots$ $[ ]$
254016.bf2 254016.bf \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1642284, -379972656]$ \(y^2=x^3-1642284x-379972656\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.1, 126.24.0.?, $\ldots$ $[ ]$
254016.bg1 254016.bg \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $8.292824874$ $[0, 0, 0, -37044, 2741256]$ \(y^2=x^3-37044x+2741256\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.2, 18.24.0.a.1, $\ldots$ $[(109/5, 200773/5)]$
254016.bg2 254016.bg \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $2.764274958$ $[0, 0, 0, -1764, -24696]$ \(y^2=x^3-1764x-24696\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.1, 18.24.0.a.1, $\ldots$ $[(-27, 57)]$
254016.bh1 254016.bh \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $2.372027076$ $[0, 0, 0, -301644, 29910384]$ \(y^2=x^3-301644x+29910384\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 8.4.0-2.a.1.1, 12.16.0.a.1, $\ldots$ $[(526, 4096)]$
254016.bh2 254016.bh \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.790675692$ $[0, 0, 0, -254604, 49447664]$ \(y^2=x^3-254604x+49447664\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 8.4.0-2.a.1.1, 12.16.0.a.2, $\ldots$ $[(350, 1792)]$
254016.bi1 254016.bi \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -29484, 1932336]$ \(y^2=x^3-29484x+1932336\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 24.16.0.a.2, 28.4.0-2.a.1.1, $\ldots$ $[ ]$
254016.bi2 254016.bi \( 2^{6} \cdot 3^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2604, -49616]$ \(y^2=x^3-2604x-49616\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 24.16.0.a.1, 28.4.0-2.a.1.1, $\ldots$ $[ ]$
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