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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 68 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
152352.a1 152352.a \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-4$ $1.803289976$ $[0, 0, 0, -57132, 0]$ \(y^2=x^3-57132x\) $[(-92, 2116)]$
152352.a2 152352.a \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-4$ $3.606579953$ $[0, 0, 0, 14283, 0]$ \(y^2=x^3+14283x\) $[(108, 1674)]$
152352.b1 152352.b \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $-4$ $1$ $[0, 0, 0, -438012, 0]$ \(y^2=x^3-438012x\) $[ ]$
152352.b2 152352.b \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $-4$ $1$ $[0, 0, 0, 109503, 0]$ \(y^2=x^3+109503x\) $[ ]$
152352.c1 152352.c \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.632901384$ $[0, 0, 0, 276, 736]$ \(y^2=x^3+276x+736\) 4.2.0.a.1, 552.4.0.? $[(2, 36)]$
152352.d1 152352.d \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 276, -736]$ \(y^2=x^3+276x-736\) 4.2.0.a.1, 552.4.0.? $[ ]$
152352.e1 152352.e \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -115851, -5231810]$ \(y^2=x^3-115851x-5231810\) 2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? $[ ]$
152352.e2 152352.e \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 26979, -632684]$ \(y^2=x^3+26979x-632684\) 2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? $[ ]$
152352.f1 152352.f \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $1.079097101$ $[0, 0, 0, 69, 1150]$ \(y^2=x^3+69x+1150\) 24.2.0.b.1 $[(-7, 18), (2, 36)]$
152352.g1 152352.g \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-4$ $5.053421369$ $[0, 0, 0, -36501, 0]$ \(y^2=x^3-36501x\) $[(192, 264)]$
152352.g2 152352.g \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-4$ $10.10684273$ $[0, 0, 0, 146004, 0]$ \(y^2=x^3+146004x\) $[(121/8, 269005/8)]$
152352.h1 152352.h \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $2$ $\Z/2\Z$ $-4$ $5.194996585$ $[0, 0, 0, -621, 0]$ \(y^2=x^3-621x\) $[(27, 54), (25, 10)]$
152352.h2 152352.h \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $2$ $\Z/2\Z$ $-4$ $5.194996585$ $[0, 0, 0, 2484, 0]$ \(y^2=x^3+2484x\) $[(54, 540), (4, 100)]$
152352.i1 152352.i \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-16$ $11.14152694$ $[0, 0, 0, -52371, -4599126]$ \(y^2=x^3-52371x-4599126\) $[(184614/13, 77419224/13)]$
152352.i2 152352.i \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-16$ $2.785381735$ $[0, 0, 0, -52371, 4599126]$ \(y^2=x^3-52371x+4599126\) $[(-230, 2116)]$
152352.i3 152352.i \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $-4$ $5.570763470$ $[0, 0, 0, -4761, 0]$ \(y^2=x^3-4761x\) $[(1083, 35568)]$
152352.i4 152352.i \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-4$ $11.14152694$ $[0, 0, 0, 19044, 0]$ \(y^2=x^3+19044x\) $[(389376/19, 244951200/19)]$
152352.j1 152352.j \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 69, -1150]$ \(y^2=x^3+69x-1150\) 24.2.0.b.1 $[ ]$
152352.k1 152352.k \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.186986636$ $[0, 0, 0, -115851, 5231810]$ \(y^2=x^3-115851x+5231810\) 2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? $[(-1886/3, 121670/3)]$
152352.k2 152352.k \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.593493318$ $[0, 0, 0, 26979, 632684]$ \(y^2=x^3+26979x+632684\) 2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? $[(1633/2, 71415/2)]$
152352.l1 152352.l \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $2.332774748$ $[0, 0, 0, -6862188, -6922146976]$ \(y^2=x^3-6862188x-6922146976\) 4.2.0.a.1, 24.4.0-4.a.1.1 $[(5290, 323748)]$
152352.m1 152352.m \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -6862188, 6922146976]$ \(y^2=x^3-6862188x+6922146976\) 4.2.0.a.1, 24.4.0-4.a.1.1 $[ ]$
152352.n1 152352.n \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -3467595, 2484428398]$ \(y^2=x^3-3467595x+2484428398\) 2.3.0.a.1, 24.6.0.j.1, 92.6.0.?, 552.12.0.? $[ ]$
152352.n2 152352.n \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -182505, 51490744]$ \(y^2=x^3-182505x+51490744\) 2.3.0.a.1, 24.6.0.j.1, 46.6.0.a.1, 552.12.0.? $[ ]$
152352.o1 152352.o \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $2$ $\Z/2\Z$ $9.940012516$ $[0, 0, 0, -6555, 204194]$ \(y^2=x^3-6555x+204194\) 2.3.0.a.1, 24.6.0.j.1, 92.6.0.?, 552.12.0.? $[(50, 38), (265/2, 1971/2)]$
152352.o2 152352.o \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $2$ $\Z/2\Z$ $2.485003129$ $[0, 0, 0, -345, 4232]$ \(y^2=x^3-345x+4232\) 2.3.0.a.1, 24.6.0.j.1, 46.6.0.a.1, 552.12.0.? $[(4, 54), (49, 324)]$
152352.p1 152352.p \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -539580, 93053216]$ \(y^2=x^3-539580x+93053216\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? $[ ]$
152352.p2 152352.p \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 103155, 10268948]$ \(y^2=x^3+103155x+10268948\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? $[ ]$
152352.q1 152352.q \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $2$ $\Z/2\Z$ $33.19192287$ $[0, 0, 0, -420555, -102032462]$ \(y^2=x^3-420555x-102032462\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[(-414, 1058), (995954/5, 993804642/5)]$
152352.q2 152352.q \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $2$ $\Z/2\Z$ $8.297980719$ $[0, 0, 0, 7935, -5450816]$ \(y^2=x^3+7935x-5450816\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[(713, 19044), (39836, 7950870)]$
152352.r1 152352.r \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -420555, 102032462]$ \(y^2=x^3-420555x+102032462\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[ ]$
152352.r2 152352.r \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 7935, 5450816]$ \(y^2=x^3+7935x+5450816\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[ ]$
152352.s1 152352.s \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.248146884$ $[0, 0, 0, -539580, -93053216]$ \(y^2=x^3-539580x-93053216\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? $[(20309/5, 271377/5)]$
152352.s2 152352.s \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $10.49629376$ $[0, 0, 0, 103155, -10268948]$ \(y^2=x^3+103155x-10268948\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? $[(108392, 35685990)]$
152352.t1 152352.t \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $2$ $\Z/2\Z$ $125.0799407$ $[0, 0, 0, -3467595, -2484428398]$ \(y^2=x^3-3467595x-2484428398\) 2.3.0.a.1, 24.6.0.j.1, 92.6.0.?, 552.12.0.? $[(31282/3, 4473694/3), (261358/11, 13513968/11)]$
152352.t2 152352.t \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $2$ $\Z/2\Z$ $31.26998519$ $[0, 0, 0, -182505, -51490744]$ \(y^2=x^3-182505x-51490744\) 2.3.0.a.1, 24.6.0.j.1, 46.6.0.a.1, 552.12.0.? $[(772, 16362), (1255, 41184)]$
152352.u1 152352.u \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -6555, -204194]$ \(y^2=x^3-6555x-204194\) 2.3.0.a.1, 24.6.0.j.1, 92.6.0.?, 552.12.0.? $[ ]$
152352.u2 152352.u \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -345, -4232]$ \(y^2=x^3-345x-4232\) 2.3.0.a.1, 24.6.0.j.1, 46.6.0.a.1, 552.12.0.? $[ ]$
152352.v1 152352.v \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -12972, -568928]$ \(y^2=x^3-12972x-568928\) 4.2.0.a.1, 552.4.0.? $[ ]$
152352.w1 152352.w \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.204984300$ $[0, 0, 0, -12972, 568928]$ \(y^2=x^3-12972x+568928\) 4.2.0.a.1, 552.4.0.? $[(58, 108)]$
152352.x1 152352.x \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.165491417$ $[0, 0, 0, -153939, -23238970]$ \(y^2=x^3-153939x-23238970\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 92.12.0.?, $\ldots$ $[(-227, 90)]$
152352.x2 152352.x \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.165491417$ $[0, 0, 0, -82524, 8954912]$ \(y^2=x^3-82524x+8954912\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ $[(-184, 4232)]$
152352.x3 152352.x \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.330982834$ $[0, 0, 0, -11109, -243340]$ \(y^2=x^3-11109x-243340\) 2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 92.12.0.?, $\ldots$ $[(340, 5940)]$
152352.x4 152352.x \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $8.661965668$ $[0, 0, 0, 36501, -1776382]$ \(y^2=x^3+36501x-1776382\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 184.24.0.?, $\ldots$ $[(37966/11, 8477460/11)]$
152352.y1 152352.y \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -91755579, -270249875570]$ \(y^2=x^3-91755579x-270249875570\) 2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? $[ ]$
152352.y2 152352.y \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 12367491, -25498187228]$ \(y^2=x^3+12367491x-25498187228\) 2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? $[ ]$
152352.z1 152352.z \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 36501, 13992050]$ \(y^2=x^3+36501x+13992050\) 24.2.0.b.1 $[ ]$
152352.ba1 152352.ba \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-4$ $2.193155780$ $[0, 0, 0, -69, 0]$ \(y^2=x^3-69x\) $[(12, 30)]$
152352.ba2 152352.ba \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $-4$ $4.386311560$ $[0, 0, 0, 276, 0]$ \(y^2=x^3+276x\) $[(25/2, 355/2)]$
152352.bb1 152352.bb \( 2^{5} \cdot 3^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $-4$ $1$ $[0, 0, 0, -328509, 0]$ \(y^2=x^3-328509x\) $[ ]$
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