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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 128 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
113568.a1 113568.a \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $5.645942175$ $[0, -1, 0, -9520, 331096]$ \(y^2=x^3-x^2-9520x+331096\) 168.2.0.? $[(141/2, 1561/2)]$
113568.b1 113568.b \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.501782737$ $[0, -1, 0, -4957, 237301]$ \(y^2=x^3-x^2-4957x+237301\) 182.2.0.? $[(87, 676)]$
113568.c1 113568.c \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $4.409611251$ $[0, -1, 0, 49968, 1685124]$ \(y^2=x^3-x^2+49968x+1685124\) 2184.2.0.? $[(2024, 91598)]$
113568.d1 113568.d \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.870112249$ $[0, -1, 0, -3137, -66639]$ \(y^2=x^3-x^2-3137x-66639\) 4.2.0.a.1, 728.4.0.? $[(71, 252)]$
113568.e1 113568.e \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $6.104103135$ $[0, -1, 0, -144824, -21165132]$ \(y^2=x^3-x^2-144824x-21165132\) 168.2.0.? $[(676, 13762)]$
113568.f1 113568.f \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.725550631$ $[0, -1, 0, -24679464, 47198412468]$ \(y^2=x^3-x^2-24679464x+47198412468\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 52.12.0-4.c.1.2, 56.24.0.bc.1, $\ldots$ $[(2868, 18)]$
113568.f2 113568.f \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $10.90220252$ $[0, -1, 0, -2544689, -331746975]$ \(y^2=x^3-x^2-2544689x-331746975\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0.h.1, 52.12.0-4.c.1.1, $\ldots$ $[(1392291/5, 1642148664/5)]$
113568.f3 113568.f \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.451101262$ $[0, -1, 0, -1545054, 735263424]$ \(y^2=x^3-x^2-1545054x+735263424\) 2.6.0.a.1, 8.12.0.a.1, 28.12.0.a.1, 52.12.0-2.a.1.1, 56.24.0.b.1, $\ldots$ $[(-1353, 18630)]$
113568.f4 113568.f \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $10.90220252$ $[0, -1, 0, -586824, 1635999624]$ \(y^2=x^3-x^2-586824x+1635999624\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bt.1, 104.24.0.?, $\ldots$ $[(-31459/5, 2437586/5)]$
113568.g1 113568.g \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $7.361754170$ $[0, -1, 0, 8056, 8969700]$ \(y^2=x^3-x^2+8056x+8969700\) 168.2.0.? $[(3016, 165706)]$
113568.h1 113568.h \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -25744, -1323752]$ \(y^2=x^3-x^2-25744x-1323752\) 168.2.0.? $[ ]$
113568.i1 113568.i \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -84049, -9332831]$ \(y^2=x^3-x^2-84049x-9332831\) 2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 312.24.0.?, 364.24.0.?, $\ldots$ $[ ]$
113568.i2 113568.i \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -73064, 7590660]$ \(y^2=x^3-x^2-73064x+7590660\) 2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 312.24.0.?, 728.24.0.?, $\ldots$ $[ ]$
113568.i3 113568.i \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -7154, -28536]$ \(y^2=x^3-x^2-7154x-28536\) 2.6.0.a.1, 4.12.0-2.a.1.1, 168.24.0.?, 312.24.0.?, 364.24.0.?, $\ldots$ $[ ]$
113568.i4 113568.i \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 28336, -255672]$ \(y^2=x^3-x^2+28336x-255672\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 168.24.0.?, 312.24.0.?, $\ldots$ $[ ]$
113568.j1 113568.j \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -178689, -10941711]$ \(y^2=x^3-x^2-178689x-10941711\) 2.3.0.a.1, 12.6.0.g.1, 52.6.0.c.1, 156.12.0.? $[ ]$
113568.j2 113568.j \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -145734, -21348900]$ \(y^2=x^3-x^2-145734x-21348900\) 2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.? $[ ]$
113568.k1 113568.k \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -13860929, -19858004271]$ \(y^2=x^3-x^2-13860929x-19858004271\) 2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.? $[ ]$
113568.k2 113568.k \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -865674, -310541700]$ \(y^2=x^3-x^2-865674x-310541700\) 2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? $[ ]$
113568.l1 113568.l \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -13914, -600432]$ \(y^2=x^3-x^2-13914x-600432\) 2.3.0.a.1, 104.6.0.?, 168.6.0.?, 546.6.0.?, 2184.12.0.? $[ ]$
113568.l2 113568.l \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 8056, -2340456]$ \(y^2=x^3-x^2+8056x-2340456\) 2.3.0.a.1, 104.6.0.?, 168.6.0.?, 1092.6.0.?, 2184.12.0.? $[ ]$
113568.m1 113568.m \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -57009, 5257953]$ \(y^2=x^3-x^2-57009x+5257953\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0.h.1, 52.12.0-4.c.1.2, $\ldots$ $[ ]$
113568.m2 113568.m \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -18984, -937080]$ \(y^2=x^3-x^2-18984x-937080\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 52.12.0-4.c.1.1, 56.24.0.bc.1, $\ldots$ $[ ]$
113568.m3 113568.m \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -3774, 72864]$ \(y^2=x^3-x^2-3774x+72864\) 2.6.0.a.1, 8.12.0.a.1, 28.12.0.a.1, 52.12.0-2.a.1.1, 56.24.0.b.1, $\ldots$ $[ ]$
113568.m4 113568.m \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 8056, 427764]$ \(y^2=x^3-x^2+8056x+427764\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bt.1, 104.24.0.?, $\ldots$ $[ ]$
113568.n1 113568.n \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $14.23044347$ $[0, -1, 0, -350224, -79464620]$ \(y^2=x^3-x^2-350224x-79464620\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 168.24.0.?, $\ldots$ $[(-3069919/95, 376021446/95)]$
113568.n2 113568.n \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/4\Z$ $3.557610867$ $[0, -1, 0, -327409, 71949409]$ \(y^2=x^3-x^2-327409x+71949409\) 2.3.0.a.1, 4.12.0-4.c.1.1, 156.24.0.?, 168.24.0.?, 728.24.0.?, $\ldots$ $[(-3, 8540)]$
113568.n3 113568.n \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $7.115221735$ $[0, -1, 0, -30814, -123176]$ \(y^2=x^3-x^2-30814x-123176\) 2.6.0.a.1, 4.12.0-2.a.1.1, 156.24.0.?, 168.24.0.?, 728.24.0.?, $\ldots$ $[(-604/5, 97356/5)]$
113568.n4 113568.n \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $14.23044347$ $[0, -1, 0, 122976, -1107432]$ \(y^2=x^3-x^2+122976x-1107432\) 2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 312.24.0.?, 728.24.0.?, $\ldots$ $[(1351381/30, 1612480771/30)]$
113568.o1 113568.o \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 848259, -270573291]$ \(y^2=x^3-x^2+848259x-270573291\) 182.2.0.? $[ ]$
113568.p1 113568.p \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 259359, -60181551]$ \(y^2=x^3-x^2+259359x-60181551\) 4.2.0.a.1, 56.4.0-4.a.1.1 $[ ]$
113568.q1 113568.q \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -114976, 20473192]$ \(y^2=x^3-x^2-114976x+20473192\) 2184.2.0.? $[ ]$
113568.r1 113568.r \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -3501, -78651]$ \(y^2=x^3-x^2-3501x-78651\) 182.2.0.? $[ ]$
113568.s1 113568.s \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $20.20100104$ $[0, -1, 0, -1060193, -419770287]$ \(y^2=x^3-x^2-1060193x-419770287\) 2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? $[(11347364287/2619, 871069679186356/2619)]$
113568.s2 113568.s \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $10.10050052$ $[0, -1, 0, -60558, -7720740]$ \(y^2=x^3-x^2-60558x-7720740\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? $[(337372/27, 156422006/27)]$
113568.t1 113568.t \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $3.671776635$ $[0, -1, 0, -5633, 155505]$ \(y^2=x^3-x^2-5633x+155505\) 2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? $[(8, 333)]$
113568.t2 113568.t \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $1.835888317$ $[0, -1, 0, 282, 9996]$ \(y^2=x^3-x^2+282x+9996\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? $[(100, 1014)]$
113568.u1 113568.u \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -591725, -175163067]$ \(y^2=x^3-x^2-591725x-175163067\) 182.2.0.? $[ ]$
113568.v1 113568.v \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.501686654$ $[0, -1, 0, 84275, 1121509]$ \(y^2=x^3-x^2+84275x+1121509\) 182.2.0.? $[(35, 2028)]$
113568.w1 113568.w \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -2145680, 1438959144]$ \(y^2=x^3-x^2-2145680x+1438959144\) 2184.2.0.? $[ ]$
113568.x1 113568.x \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -680, 9528]$ \(y^2=x^3-x^2-680x+9528\) 2184.2.0.? $[ ]$
113568.y1 113568.y \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 43831615, -132043541007]$ \(y^2=x^3-x^2+43831615x-132043541007\) 4.2.0.a.1, 728.4.0.? $[ ]$
113568.z1 113568.z \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -2606205, -1618652907]$ \(y^2=x^3-x^2-2606205x-1618652907\) 182.2.0.? $[ ]$
113568.ba1 113568.ba \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 143355715, -593876097387]$ \(y^2=x^3-x^2+143355715x-593876097387\) 182.2.0.? $[ ]$
113568.bb1 113568.bb \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $5.987482891$ $[0, -1, 0, -37912, 2853928]$ \(y^2=x^3-x^2-37912x+2853928\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0.ba.1, 104.12.0.?, $\ldots$ $[(2841/5, 1964/5)]$
113568.bb2 113568.bb \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $5.987482891$ $[0, -1, 0, -8337, -241983]$ \(y^2=x^3-x^2-8337x-241983\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0.h.1, 52.12.0-4.c.1.1, $\ldots$ $[(-879/4, 13905/4)]$
113568.bb3 113568.bb \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.993741445$ $[0, -1, 0, -2422, 43120]$ \(y^2=x^3-x^2-2422x+43120\) 2.6.0.a.1, 24.12.0.a.1, 28.12.0.a.1, 52.12.0-2.a.1.1, 168.24.0.?, $\ldots$ $[(19, 60)]$
113568.bb4 113568.bb \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $5.987482891$ $[0, -1, 0, 2648, 195220]$ \(y^2=x^3-x^2+2648x+195220\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 52.12.0-4.c.1.2, 56.12.0.ba.1, $\ldots$ $[(357, 6820)]$
113568.bc1 113568.bc \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -82, -248]$ \(y^2=x^3-x^2-82x-248\) 2.3.0.a.1, 104.6.0.?, 168.6.0.?, 546.6.0.?, 2184.12.0.? $[ ]$
113568.bc2 113568.bc \( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 48, -1080]$ \(y^2=x^3-x^2+48x-1080\) 2.3.0.a.1, 104.6.0.?, 168.6.0.?, 1092.6.0.?, 2184.12.0.? $[ ]$
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