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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 139 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
177744.a1 177744.a \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $4.619733034$ $[0, -1, 0, -815365, -330418259]$ \(y^2=x^3-x^2-815365x-330418259\) 966.2.0.? $[(22365/2, 3297257/2)]$
177744.b1 177744.b \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $2.535394931$ $[0, -1, 0, -106505, -13420299]$ \(y^2=x^3-x^2-106505x-13420299\) 966.2.0.? $[(1573/2, 18515/2)]$
177744.c1 177744.c \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $3.105554765$ $[0, -1, 0, -44612, 2108496]$ \(y^2=x^3-x^2-44612x+2108496\) 42.2.0.a.1 $[(-176, 2116), (-1055/3, 64538/3)]$
177744.d1 177744.d \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.411309963$ $[0, -1, 0, -287952, 62262144]$ \(y^2=x^3-x^2-287952x+62262144\) 4.2.0.a.1, 168.4.0.? $[(882, 22218)]$
177744.e1 177744.e \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1947, -31194]$ \(y^2=x^3-x^2-1947x-31194\) 5.5.0.a.1, 42.2.0.a.1, 210.10.0.? $[ ]$
177744.f1 177744.f \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $15.38146159$ $[0, -1, 0, 76988368, 174458073024]$ \(y^2=x^3-x^2+76988368x+174458073024\) 3864.2.0.? $[(1049833672/383, 58708927772288/383)]$
177744.g1 177744.g \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $2.852243324$ $[0, -1, 0, -15632, -2366016]$ \(y^2=x^3-x^2-15632x-2366016\) 4.8.0.b.1, 92.16.0.? $[(701/2, 3969/2)]$
177744.h1 177744.h \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -25177, -1529276]$ \(y^2=x^3-x^2-25177x-1529276\) 3.4.0.a.1, 42.8.0.b.1, 276.8.0.?, 1932.16.0.? $[ ]$
177744.h2 177744.h \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -337, -1616]$ \(y^2=x^3-x^2-337x-1616\) 3.4.0.a.1, 42.8.0.b.1, 276.8.0.?, 1932.16.0.? $[ ]$
177744.i1 177744.i \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -109790952, -300148242576]$ \(y^2=x^3-x^2-109790952x-300148242576\) 3.4.0.a.1, 42.8.0.b.1, 276.8.0.?, 1932.16.0.? $[ ]$
177744.i2 177744.i \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -42629112, 107121155184]$ \(y^2=x^3-x^2-42629112x+107121155184\) 3.4.0.a.1, 42.8.0.b.1, 276.8.0.?, 1932.16.0.? $[ ]$
177744.j1 177744.j \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -4187195992, -104212207336976]$ \(y^2=x^3-x^2-4187195992x-104212207336976\) 42.2.0.a.1 $[ ]$
177744.k1 177744.k \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -774632, -260698704]$ \(y^2=x^3-x^2-774632x-260698704\) 42.2.0.a.1 $[ ]$
177744.l1 177744.l \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -80584, 8820448]$ \(y^2=x^3-x^2-80584x+8820448\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 92.12.0.?, $\ldots$ $[ ]$
177744.l2 177744.l \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -6524, 51744]$ \(y^2=x^3-x^2-6524x+51744\) 2.6.0.a.1, 12.12.0.b.1, 28.12.0.a.1, 84.24.0.?, 92.12.0.?, $\ldots$ $[ ]$
177744.l3 177744.l \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -3879, -91086]$ \(y^2=x^3-x^2-3879x-91086\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ $[ ]$
177744.l4 177744.l \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 25216, 381840]$ \(y^2=x^3-x^2+25216x+381840\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ $[ ]$
177744.m1 177744.m \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $8.514814734$ $[0, -1, 0, -10046944, -12250538720]$ \(y^2=x^3-x^2-10046944x-12250538720\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 92.12.0.?, 184.48.0.? $[(-45799/5, 234024/5)]$
177744.m2 177744.m \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\Z/4\Z$ $2.128703683$ $[0, -1, 0, -5095504, 4333281184]$ \(y^2=x^3-x^2-5095504x+4333281184\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.8, 184.48.0.? $[(1114, 6174)]$
177744.m3 177744.m \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.257407367$ $[0, -1, 0, -715384, -134441216]$ \(y^2=x^3-x^2-715384x-134441216\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 92.24.0.?, 184.48.0.? $[(-647, 7560)]$
177744.m4 177744.m \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $8.514814734$ $[0, -1, 0, 141596, -15149600]$ \(y^2=x^3-x^2+141596x-15149600\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.6, 46.6.0.a.1, 92.24.0.?, $\ldots$ $[(43825/16, 15368535/16)]$
177744.n1 177744.n \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $5.290085247$ $[0, -1, 0, 3228311, -11146915115]$ \(y^2=x^3-x^2+3228311x-11146915115\) 966.2.0.? $[(353217/8, 214029697/8)]$
177744.o1 177744.o \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $8.342499630$ $[0, -1, 0, -419144, -75489456]$ \(y^2=x^3-x^2-419144x-75489456\) 2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? $[(58370/7, 11449026/7)]$
177744.o2 177744.o \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $4.171249815$ $[0, -1, 0, 67536, -7743600]$ \(y^2=x^3-x^2+67536x-7743600\) 2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? $[(198, 3654)]$
177744.p1 177744.p \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $2.635603636$ $[0, -1, 0, -18576, -599616]$ \(y^2=x^3-x^2-18576x-599616\) 42.2.0.a.1 $[(152, 256)]$
177744.q1 177744.q \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -8111, 137442]$ \(y^2=x^3-x^2-8111x+137442\) 42.2.0.a.1 $[ ]$
177744.r1 177744.r \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $24.30618094$ $[0, -1, 0, -373121, -85931916]$ \(y^2=x^3-x^2-373121x-85931916\) 42.2.0.a.1 $[(30847540708/3823, 5158763219287688/3823)]$
177744.s1 177744.s \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 1756104, -612276336]$ \(y^2=x^3-x^2+1756104x-612276336\) 3864.2.0.? $[ ]$
177744.t1 177744.t \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $6.600210637$ $[0, -1, 0, -245233996, 135723144112]$ \(y^2=x^3-x^2-245233996x+135723144112\) 42.2.0.a.1 $[(23964, 2832004)]$
177744.u1 177744.u \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $1.719013829$ $[0, -1, 0, -3051448, 2021161840]$ \(y^2=x^3-x^2-3051448x+2021161840\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[(1434, 24334)]$
177744.u2 177744.u \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $0.859506914$ $[0, -1, 0, -4408, 90557296]$ \(y^2=x^3-x^2-4408x+90557296\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[(-38, 9522)]$
177744.v1 177744.v \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $26.33505547$ $[0, -1, 0, -74360648, -230063986512]$ \(y^2=x^3-x^2-74360648x-230063986512\) 2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 48.48.1.fo.1, 92.12.0.?, $\ldots$ $[(545981958922/511, 403425769314951734/511)]$
177744.v2 177744.v \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $13.16752773$ $[0, -1, 0, 4481512, -15991753680]$ \(y^2=x^3-x^2+4481512x-15991753680\) 2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$ $[(2090908, 3023448008)]$
177744.w1 177744.w \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 3527, 5555989]$ \(y^2=x^3-x^2+3527x+5555989\) 966.2.0.? $[ ]$
177744.x1 177744.x \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -967188, -365789844]$ \(y^2=x^3-x^2-967188x-365789844\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 28.6.0.a.1, $\ldots$ $[ ]$
177744.x2 177744.x \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -59953, -5798996]$ \(y^2=x^3-x^2-59953x-5798996\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 28.6.0.b.1, 84.48.1.?, $\ldots$ $[ ]$
177744.x3 177744.x \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -14988, -221220]$ \(y^2=x^3-x^2-14988x-221220\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 28.6.0.a.1, $\ldots$ $[ ]$
177744.x4 177744.x \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 3527, -28664]$ \(y^2=x^3-x^2+3527x-28664\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 28.6.0.b.1, 84.48.1.?, $\ldots$ $[ ]$
177744.y1 177744.y \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $2$ $\Z/2\Z$ $1.965695536$ $[0, -1, 0, -140568, 18957744]$ \(y^2=x^3-x^2-140568x+18957744\) 2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 48.48.1.fo.1, 92.12.0.?, $\ldots$ $[(330, 2898), (141, 1386)]$
177744.y2 177744.y \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $2$ $\Z/2\Z$ $1.965695536$ $[0, -1, 0, 8472, 1311408]$ \(y^2=x^3-x^2+8472x+1311408\) 2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$ $[(-38, 966), (-3, 1134)]$
177744.z1 177744.z \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 14107, 507213]$ \(y^2=x^3-x^2+14107x+507213\) 966.2.0.? $[ ]$
177744.ba1 177744.ba \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -253122973, 1550168067553]$ \(y^2=x^3-x^2-253122973x+1550168067553\) 3.4.0.a.1, 84.8.0.?, 276.8.0.?, 966.8.0.?, 1932.16.0.? $[ ]$
177744.ba2 177744.ba \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -78299053, 3638812064065]$ \(y^2=x^3-x^2-78299053x+3638812064065\) 3.4.0.a.1, 84.8.0.?, 276.8.0.?, 966.8.0.?, 1932.16.0.? $[ ]$
177744.bb1 177744.bb \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -12835575768, -557002065050640]$ \(y^2=x^3-x^2-12835575768x-557002065050640\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.8, $\ldots$ $[ ]$
177744.bb2 177744.bb \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -947930088, 10703213724528]$ \(y^2=x^3-x^2-947930088x+10703213724528\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.2, $\ldots$ $[ ]$
177744.bb3 177744.bb \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -354899928, -18356064877584]$ \(y^2=x^3-x^2-354899928x-18356064877584\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.4, $\ldots$ $[ ]$
177744.bb4 177744.bb \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 39310872, 668106814320]$ \(y^2=x^3-x^2+39310872x+668106814320\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.10, $\ldots$ $[ ]$
177744.bc1 177744.bc \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -463580, -10993776]$ \(y^2=x^3-x^2-463580x-10993776\) 42.2.0.a.1 $[ ]$
177744.bd1 177744.bd \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.467917011$ $[0, -1, 0, 3320, 49168]$ \(y^2=x^3-x^2+3320x+49168\) 3864.2.0.? $[(8, 276)]$
177744.be1 177744.be \( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $2.464634294$ $[0, -1, 0, -705, 7308]$ \(y^2=x^3-x^2-705x+7308\) 42.2.0.a.1 $[(8, 46), (-83/2, 897/2)]$
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