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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 (35 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
60552.a1 60552.a \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.245404892$ $[0, 0, 0, -275007, 65240575]$ \(y^2=x^3-275007x+65240575\) 174.2.0.? $[(29, 7569)]$
60552.b1 60552.b \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\Z/2\Z$ $12.66092103$ $[0, 0, 0, -749331, -125115570]$ \(y^2=x^3-749331x-125115570\) 2.3.0.a.1, 24.6.0.a.1, 232.6.0.?, 348.6.0.?, 696.12.0.? $[(33883078/187, 50025790018/187)]$
60552.b2 60552.b \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\Z/2\Z$ $6.330460518$ $[0, 0, 0, 158949, -14487066]$ \(y^2=x^3+158949x-14487066\) 2.3.0.a.1, 24.6.0.d.1, 174.6.0.?, 232.6.0.?, 696.12.0.? $[(77575/11, 24933968/11)]$
60552.c1 60552.c \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $19.09887264$ $[0, 0, 0, -44811003, -115511035466]$ \(y^2=x^3-44811003x-115511035466\) 696.2.0.? $[(206737819454/1391, 93811319663218074/1391)]$
60552.d1 60552.d \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $2.038860942$ $[0, 0, 0, -608043, 182576054]$ \(y^2=x^3-608043x+182576054\) 116.2.0.? $[(1595, 57188)]$
60552.e1 60552.e \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $2$ $\mathsf{trivial}$ $2.607866424$ $[0, 0, 0, 88305, -3341293]$ \(y^2=x^3+88305x-3341293\) 174.2.0.? $[(319, 7569), (1102, 37845)]$
60552.f1 60552.f \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -17925915, -30377011669]$ \(y^2=x^3-17925915x-30377011669\) 174.2.0.? $[ ]$
60552.g1 60552.g \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.276457260$ $[0, 0, 0, -21315, -1245521]$ \(y^2=x^3-21315x-1245521\) 174.2.0.? $[(1595, 63423)]$
60552.h1 60552.h \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -365835, 94775654]$ \(y^2=x^3-365835x+94775654\) 8.2.0.a.1 $[ ]$
60552.i1 60552.i \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -435, 3886]$ \(y^2=x^3-435x+3886\) 8.2.0.a.1 $[ ]$
60552.j1 60552.j \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -668595, -210452681]$ \(y^2=x^3-668595x-210452681\) 174.2.0.? $[ ]$
60552.k1 60552.k \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -113535, -15145569]$ \(y^2=x^3-113535x-15145569\) 174.2.0.? $[ ]$
60552.l1 60552.l \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.058538267$ $[0, 0, 0, -12615, 560947]$ \(y^2=x^3-12615x+560947\) 174.2.0.? $[(203, 2523)]$
60552.m1 60552.m \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\Z/2\Z$ $15.82330027$ $[0, 0, 0, -9145875, 10624775182]$ \(y^2=x^3-9145875x+10624775182\) 2.3.0.a.1, 24.6.0.j.1, 232.6.0.?, 348.6.0.?, 696.12.0.? $[(78204614/205, 60567733638/205)]$
60552.m2 60552.m \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\Z/2\Z$ $7.911650136$ $[0, 0, 0, -365835, 287156086]$ \(y^2=x^3-365835x+287156086\) 2.3.0.a.1, 24.6.0.j.1, 174.6.0.?, 232.6.0.?, 696.12.0.? $[(19319/5, 2698128/5)]$
60552.n1 60552.n \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -10875, 435638]$ \(y^2=x^3-10875x+435638\) 2.3.0.a.1, 24.6.0.j.1, 232.6.0.?, 348.6.0.?, 696.12.0.? $[ ]$
60552.n2 60552.n \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -435, 11774]$ \(y^2=x^3-435x+11774\) 2.3.0.a.1, 24.6.0.j.1, 174.6.0.?, 232.6.0.?, 696.12.0.? $[ ]$
60552.o1 60552.o \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $2$ $\mathsf{trivial}$ $0.389578206$ $[0, 0, 0, -1740, 27956]$ \(y^2=x^3-1740x+27956\) 6.2.0.a.1 $[(22, 18), (34, 90)]$
60552.p1 60552.p \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -198402929715, -34014981169580434]$ \(y^2=x^3-198402929715x-34014981169580434\) 8.2.0.b.1 $[ ]$
60552.q1 60552.q \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -235913115, -1394685356906]$ \(y^2=x^3-235913115x-1394685356906\) 8.2.0.b.1 $[ ]$
60552.r1 60552.r \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1463340, 681818884]$ \(y^2=x^3-1463340x+681818884\) 6.2.0.a.1 $[ ]$
60552.s1 60552.s \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -83259, 4633910]$ \(y^2=x^3-83259x+4633910\) 2.3.0.a.1, 24.6.0.a.1, 232.6.0.?, 348.6.0.?, 696.12.0.? $[ ]$
60552.s2 60552.s \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 17661, 536558]$ \(y^2=x^3+17661x+536558\) 2.3.0.a.1, 24.6.0.d.1, 174.6.0.?, 232.6.0.?, 696.12.0.? $[ ]$
60552.t1 60552.t \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $4.571195658$ $[0, 0, 0, -32799, -4219297]$ \(y^2=x^3-32799x-4219297\) 174.2.0.? $[(289, 3231)]$
60552.u1 60552.u \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\Z/2\Z$ $22.88160888$ $[0, 0, 0, -2909019, 1909707478]$ \(y^2=x^3-2909019x+1909707478\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$ $[(252608700969/2002, 126915607925061565/2002)]$
60552.u2 60552.u \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\Z/2\Z$ $11.44080444$ $[0, 0, 0, -486939, -130773818]$ \(y^2=x^3-486939x-130773818\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$ $[(-1227789/55, 4952084/55)]$
60552.u3 60552.u \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $11.44080444$ $[0, 0, 0, -184179, 29022910]$ \(y^2=x^3-184179x+29022910\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 232.96.0.?, $\ldots$ $[(7625115/11, 21055208720/11)]$
60552.u4 60552.u \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.720402221$ $[0, 0, 0, -32799, -1707230]$ \(y^2=x^3-32799x-1707230\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$ $[(63017, 15819210)]$
60552.u5 60552.u \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\Z/2\Z$ $11.44080444$ $[0, 0, 0, 5046, -170723]$ \(y^2=x^3+5046x-170723\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ $[(393854/5, 247176567/5)]$
60552.u6 60552.u \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\Z/2\Z$ $22.88160888$ $[0, 0, 0, 118581, 115067302]$ \(y^2=x^3+118581x+115067302\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 348.12.0.?, $\ldots$ $[(249802571214/1991, 124853850449075930/1991)]$
60552.v1 60552.v \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.802168313$ $[0, 0, 0, 421341, 919538467]$ \(y^2=x^3+421341x+919538467\) 174.2.0.? $[(2349, 121945)]$
60552.w1 60552.w \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $27.30623515$ $[0, 0, 0, -5633859, 5023109662]$ \(y^2=x^3-5633859x+5023109662\) 8.2.0.b.1 $[(-475634394879/13346, 76126233438936823/13346)]$
60552.x1 60552.x \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $5.107800014$ $[0, 0, 0, -6699, 205958]$ \(y^2=x^3-6699x+205958\) 8.2.0.b.1 $[(161/2, 313/2)]$
60552.y1 60552.y \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 58029, 12243278]$ \(y^2=x^3+58029x+12243278\) 696.2.0.? $[ ]$
60552.z1 60552.z \( 2^{3} \cdot 3^{2} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 58029, 926782]$ \(y^2=x^3+58029x+926782\) 116.2.0.? $[ ]$
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