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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 148 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
30576.a1 30576.a \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.334332514$ $[0, -1, 0, -10355, -402114]$ \(y^2=x^3-x^2-10355x-402114\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[(138, 882)]$
30576.a2 30576.a \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.667166257$ $[0, -1, 0, -9620, -462384]$ \(y^2=x^3-x^2-9620x-462384\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[(208, 2548)]$
30576.b1 30576.b \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -59600, -5719104]$ \(y^2=x^3-x^2-59600x-5719104\) 52.2.0.a.1 $[ ]$
30576.c1 30576.c \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.009838104$ $[0, -1, 0, -31915, 2072386]$ \(y^2=x^3-x^2-31915x+2072386\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[(278, 3822)]$
30576.c2 30576.c \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.004919052$ $[0, -1, 0, 27620, 8859376]$ \(y^2=x^3-x^2+27620x+8859376\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[(-72, 2548)]$
30576.d1 30576.d \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.366398965$ $[0, -1, 0, -1934837, 1036711929]$ \(y^2=x^3-x^2-1934837x+1036711929\) 182.2.0.? $[(713, 4374)]$
30576.e1 30576.e \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -78779472, -270646784064]$ \(y^2=x^3-x^2-78779472x-270646784064\) 2184.2.0.? $[ ]$
30576.f1 30576.f \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -3712, -167936]$ \(y^2=x^3-x^2-3712x-167936\) 2184.2.0.? $[ ]$
30576.g1 30576.g \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.274426768$ $[0, -1, 0, -1200264, 508379040]$ \(y^2=x^3-x^2-1200264x+508379040\) 52.2.0.a.1 $[(3198, 171366)]$
30576.h1 30576.h \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $6.535129492$ $[0, -1, 0, -29240864, 60869902080]$ \(y^2=x^3-x^2-29240864x+60869902080\) 2.3.0.a.1, 56.6.0.c.1, 312.6.0.?, 546.6.0.?, 2184.12.0.? $[(10930/3, 4448710/3)]$
30576.h2 30576.h \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.267564746$ $[0, -1, 0, -29021344, 61828589824]$ \(y^2=x^3-x^2-29021344x+61828589824\) 2.3.0.a.1, 56.6.0.b.1, 312.6.0.?, 1092.6.0.?, 2184.12.0.? $[(2336, 82320)]$
30576.i1 30576.i \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.350138856$ $[0, -1, 0, -54504, -4879440]$ \(y^2=x^3-x^2-54504x-4879440\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ $[(-134, 6)]$
30576.i2 30576.i \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.350138856$ $[0, -1, 0, -15304, 665008]$ \(y^2=x^3-x^2-15304x+665008\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ $[(138, 1078)]$
30576.i3 30576.i \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.175069428$ $[0, -1, 0, -3544, -68816]$ \(y^2=x^3-x^2-3544x-68816\) 2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 84.24.0.?, $\ldots$ $[(-30, 98)]$
30576.i4 30576.i \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.350138856$ $[0, -1, 0, 376, -6096]$ \(y^2=x^3-x^2+376x-6096\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.5, 78.6.0.?, $\ldots$ $[(28, 160)]$
30576.j1 30576.j \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1595064, -887302800]$ \(y^2=x^3-x^2-1595064x-887302800\) 52.2.0.a.1 $[ ]$
30576.k1 30576.k \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -666024, -208988352]$ \(y^2=x^3-x^2-666024x-208988352\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ $[ ]$
30576.k2 30576.k \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -79984, 3647344]$ \(y^2=x^3-x^2-79984x+3647344\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 56.12.0-4.c.1.5, 84.12.0.?, $\ldots$ $[ ]$
30576.k3 30576.k \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -41764, -3232256]$ \(y^2=x^3-x^2-41764x-3232256\) 2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 84.24.0.?, $\ldots$ $[ ]$
30576.k4 30576.k \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -359, -135162]$ \(y^2=x^3-x^2-359x-135162\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$ $[ ]$
30576.l1 30576.l \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $6.721486898$ $[0, -1, 0, -16259784, 25241403888]$ \(y^2=x^3-x^2-16259784x+25241403888\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ $[(22778, 3387098)]$
30576.l2 30576.l \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $6.721486898$ $[0, -1, 0, -1834184, -323669520]$ \(y^2=x^3-x^2-1834184x-323669520\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ $[(-1134, 17226)]$
30576.l3 30576.l \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.360743449$ $[0, -1, 0, -1018824, 392542704]$ \(y^2=x^3-x^2-1018824x+392542704\) 2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 84.24.0.?, $\ldots$ $[(530, 1078)]$
30576.l4 30576.l \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $6.721486898$ $[0, -1, 0, -15304, 15219184]$ \(y^2=x^3-x^2-15304x+15219184\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.5, 78.6.0.?, $\ldots$ $[(5661, 425810)]$
30576.m1 30576.m \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -3544, -52352]$ \(y^2=x^3-x^2-3544x-52352\) 2.3.0.a.1, 56.6.0.c.1, 312.6.0.?, 546.6.0.?, 2184.12.0.? $[ ]$
30576.m2 30576.m \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 10176, -370656]$ \(y^2=x^3-x^2+10176x-370656\) 2.3.0.a.1, 56.6.0.b.1, 312.6.0.?, 1092.6.0.?, 2184.12.0.? $[ ]$
30576.n1 30576.n \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $0.856231587$ $[0, -1, 0, -46664, -3821040]$ \(y^2=x^3-x^2-46664x-3821040\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.1, 104.12.0.?, $\ldots$ $[(-128, 196)]$
30576.n2 30576.n \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.712463175$ $[0, -1, 0, -5504, 64464]$ \(y^2=x^3-x^2-5504x+64464\) 2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 104.12.0.?, 168.24.0.?, $\ldots$ $[(-40, 468)]$
30576.n3 30576.n \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.424926351$ $[0, -1, 0, -4524, 118560]$ \(y^2=x^3-x^2-4524x+118560\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.4, 104.12.0.?, $\ldots$ $[(76, 456)]$
30576.n4 30576.n \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.424926351$ $[0, -1, 0, 19976, 472144]$ \(y^2=x^3-x^2+19976x+472144\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.2, 104.12.0.?, $\ldots$ $[(58, 1350)]$
30576.o1 30576.o \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $2$ $\mathsf{trivial}$ $0.575725657$ $[0, -1, 0, -16, 37024]$ \(y^2=x^3-x^2-16x+37024\) 2184.2.0.? $[(12, 196), (68, 588)]$
30576.p1 30576.p \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $2$ $\mathsf{trivial}$ $0.343592912$ $[0, -1, 0, -49576, 4265584]$ \(y^2=x^3-x^2-49576x+4265584\) 2184.2.0.? $[(138, 182), (1060/3, 5824/3)]$
30576.q1 30576.q \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $2$ $\mathsf{trivial}$ $0.319064917$ $[0, -1, 0, 299, 169]$ \(y^2=x^3-x^2+299x+169\) 182.2.0.? $[(13, 78), (13/2, 273/2)]$
30576.r1 30576.r \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1109376, -6194423808]$ \(y^2=x^3-x^2-1109376x-6194423808\) 24.2.0.b.1 $[ ]$
30576.s1 30576.s \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 8664, 161904]$ \(y^2=x^3-x^2+8664x+161904\) 24.2.0.b.1 $[ ]$
30576.t1 30576.t \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -17901, -938223]$ \(y^2=x^3-x^2-17901x-938223\) 182.2.0.? $[ ]$
30576.u1 30576.u \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $4.889659045$ $[0, -1, 0, -9963, 383454]$ \(y^2=x^3-x^2-9963x+383454\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[(-459/2, 405/2)]$
30576.u2 30576.u \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.444829522$ $[0, -1, 0, -3348, 878256]$ \(y^2=x^3-x^2-3348x+878256\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[(68, 980)]$
30576.v1 30576.v \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -305188, 64957516]$ \(y^2=x^3-x^2-305188x+64957516\) 2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? $[ ]$
30576.v2 30576.v \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -15353, 1425684]$ \(y^2=x^3-x^2-15353x+1425684\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? $[ ]$
30576.w1 30576.w \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.504942080$ $[0, -1, 0, -163, -314]$ \(y^2=x^3-x^2-163x-314\) 2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? $[(-35/2, 153/2)]$
30576.w2 30576.w \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.752471040$ $[0, -1, 0, 572, -2960]$ \(y^2=x^3-x^2+572x-2960\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[(68, 588)]$
30576.x1 30576.x \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1248, -29952]$ \(y^2=x^3-x^2-1248x-29952\) 52.2.0.a.1 $[ ]$
30576.y1 30576.y \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.155450525$ $[0, -1, 0, -97085, 29268513]$ \(y^2=x^3-x^2-97085x+29268513\) 182.2.0.? $[(-247, 6174)]$
30576.z1 30576.z \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $5.065740246$ $[0, -1, 0, 259880, -167672336]$ \(y^2=x^3-x^2+259880x-167672336\) 2184.2.0.? $[(636, 15952)]$
30576.ba1 30576.ba \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $4.702975400$ $[0, -1, 0, -85080, -9649296]$ \(y^2=x^3-x^2-85080x-9649296\) 2184.2.0.? $[(356, 2248)]$
30576.bb1 30576.bb \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $2.169540109$ $[0, -1, 0, 75, -5571]$ \(y^2=x^3-x^2+75x-5571\) 182.2.0.? $[(69/2, 189/2)]$
30576.bc1 30576.bc \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $2.504825202$ $[0, -1, 0, -20645, 1313229]$ \(y^2=x^3-x^2-20645x+1313229\) 182.2.0.? $[(236, 3087)]$
30576.bd1 30576.bd \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 18408, 567792]$ \(y^2=x^3-x^2+18408x+567792\) 52.2.0.a.1 $[ ]$
30576.be1 30576.be \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -14912, -678768]$ \(y^2=x^3-x^2-14912x-678768\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ $[ ]$
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