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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 57 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
447440.a1 447440.a \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\mathsf{trivial}$ $1.127511977$ $[0, 0, 0, -631963, 2581927738]$ \(y^2=x^3-631963x+2581927738\) 111860.2.0.? $[(-1317, 33614)]$
447440.b1 447440.b \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -356128, 81800752]$ \(y^2=x^3-356128x+81800752\) 7990.2.0.? $[ ]$
447440.c1 447440.c \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -283, -2102]$ \(y^2=x^3-283x-2102\) 111860.2.0.? $[ ]$
447440.d1 447440.d \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $2$ $\Z/2\Z$ $1.233855625$ $[0, 1, 0, -6816, 214084]$ \(y^2=x^3+x^2-6816x+214084\) 2.3.0.a.1, 34.6.0.a.1, 376.6.0.?, 6392.12.0.? $[(50, 28), (64, 210)]$
447440.d2 447440.d \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $2$ $\Z/2\Z$ $1.233855625$ $[0, 1, 0, -4936, 336660]$ \(y^2=x^3+x^2-4936x+336660\) 2.3.0.a.1, 68.6.0.c.1, 376.6.0.?, 6392.12.0.? $[(82, 700), (-86, 364)]$
447440.e1 447440.e \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $2$ $\mathsf{trivial}$ $1.796311106$ $[0, 1, 0, -1400, -147500]$ \(y^2=x^3+x^2-1400x-147500\) 223720.2.0.? $[(70, 320), (100, 850)]$
447440.f1 447440.f \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $2$ $\mathsf{trivial}$ $0.165661213$ $[0, 1, 0, -112320, 14622100]$ \(y^2=x^3+x^2-112320x+14622100\) 223720.2.0.? $[(-90, 4900), (110, 1900)]$
447440.g1 447440.g \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 895, 21835]$ \(y^2=x^3+x^2+895x+21835\) 470.2.0.? $[ ]$
447440.h1 447440.h \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\mathsf{trivial}$ $1.872196019$ $[0, 1, 0, 3956640, -5387737100]$ \(y^2=x^3+x^2+3956640x-5387737100\) 223720.2.0.? $[(1455, 58750)]$
447440.i1 447440.i \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -10116, -395684]$ \(y^2=x^3-x^2-10116x-395684\) 3.4.0.a.1, 12.8.0-3.a.1.1, 111860.2.0.?, 167790.8.0.?, 335580.16.0.? $[ ]$
447440.i2 447440.i \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 42244, -1783700]$ \(y^2=x^3-x^2+42244x-1783700\) 3.4.0.a.1, 12.8.0-3.a.1.2, 111860.2.0.?, 167790.8.0.?, 335580.16.0.? $[ ]$
447440.j1 447440.j \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\mathsf{trivial}$ $0.840449730$ $[0, -1, 0, -1365, -116963]$ \(y^2=x^3-x^2-1365x-116963\) 3.4.0.a.1, 12.8.0-3.a.1.1, 7990.2.0.?, 23970.8.0.?, 47940.16.0.? $[(84, 595)]$
447440.j2 447440.j \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\mathsf{trivial}$ $2.521349190$ $[0, -1, 0, 12235, 3089917]$ \(y^2=x^3-x^2+12235x+3089917\) 3.4.0.a.1, 12.8.0-3.a.1.2, 7990.2.0.?, 23970.8.0.?, 47940.16.0.? $[(-12, 1715)]$
447440.k1 447440.k \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1133525, -496826423]$ \(y^2=x^3-x^2-1133525x-496826423\) 3.4.0.a.1, 12.8.0-3.a.1.1, 7990.2.0.?, 23970.8.0.?, 47940.16.0.? $[ ]$
447440.k2 447440.k \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 6706475, -44164423]$ \(y^2=x^3-x^2+6706475x-44164423\) 3.4.0.a.1, 12.8.0-3.a.1.2, 7990.2.0.?, 23970.8.0.?, 47940.16.0.? $[ ]$
447440.l1 447440.l \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $2$ $\mathsf{trivial}$ $1.214599266$ $[0, 0, 0, -23603, 1629938]$ \(y^2=x^3-23603x+1629938\) 223720.2.0.? $[(73, 544), (1057/2, 29767/2)]$
447440.m1 447440.m \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1136243, 366837042]$ \(y^2=x^3-1136243x+366837042\) 2.3.0.a.1, 56.6.0.a.1, 188.6.0.?, 2632.12.0.? $[ ]$
447440.m2 447440.m \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 158477, 35129778]$ \(y^2=x^3+158477x+35129778\) 2.3.0.a.1, 56.6.0.d.1, 94.6.0.?, 2632.12.0.? $[ ]$
447440.n1 447440.n \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\Z/2\Z$ $5.569993095$ $[0, 0, 0, -733283, 241688018]$ \(y^2=x^3-733283x+241688018\) 2.3.0.a.1, 188.6.0.?, 476.6.0.?, 22372.12.0.? $[(3694/3, 84788/3)]$
447440.n2 447440.n \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\Z/2\Z$ $2.784996547$ $[0, 0, 0, -45463, 3839862]$ \(y^2=x^3-45463x+3839862\) 2.3.0.a.1, 94.6.0.?, 476.6.0.?, 22372.12.0.? $[(201, 1680)]$
447440.o1 447440.o \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -13646048, 19402534128]$ \(y^2=x^3-13646048x+19402534128\) 470.2.0.? $[ ]$
447440.p1 447440.p \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\Z/2\Z$ $2.939889097$ $[0, 0, 0, -853067, 303264474]$ \(y^2=x^3-853067x+303264474\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 68.12.0-4.c.1.2, 136.24.0.?, $\ldots$ $[(543, 390)]$
447440.p2 447440.p \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.469944548$ $[0, 0, 0, -54067, 4598274]$ \(y^2=x^3-54067x+4598274\) 2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.b.1.2, 376.24.0.?, 6392.48.0.? $[(73, 1020)]$
447440.p3 447440.p \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\Z/2\Z$ $2.939889097$ $[0, 0, 0, -9887, -288034]$ \(y^2=x^3-9887x-288034\) 2.3.0.a.1, 4.12.0-4.c.1.2, 34.6.0.a.1, 68.24.0-68.g.1.1, 376.24.0.?, $\ldots$ $[(-43, 240)]$
447440.p4 447440.p \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\Z/4\Z$ $2.939889097$ $[0, 0, 0, 38053, 18655786]$ \(y^2=x^3+38053x+18655786\) 2.3.0.a.1, 4.12.0-4.c.1.1, 136.24.0.?, 376.24.0.?, 6392.48.0.? $[(7, 4350)]$
447440.q1 447440.q \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\Z/4\Z$ $3.395319546$ $[0, 0, 0, -41189867, 101740712474]$ \(y^2=x^3-41189867x+101740712474\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 6392.48.0.? $[(2053, 160720)]$
447440.q2 447440.q \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\Z/2\Z$ $13.58127818$ $[0, 0, 0, -15557867, -22528529126]$ \(y^2=x^3-15557867x-22528529126\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 3196.12.0.?, 6392.48.0.? $[(1399495/9, 1608168338/9)]$
447440.q3 447440.q \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.790639093$ $[0, 0, 0, -2773867, 1328971674]$ \(y^2=x^3-2773867x+1328971674\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 3196.24.0.?, 6392.48.0.? $[(1495, 22878)]$
447440.q4 447440.q \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\Z/2\Z$ $3.395319546$ $[0, 0, 0, 426133, 132811674]$ \(y^2=x^3+426133x+132811674\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 1598.6.0.?, 3196.24.0.?, $\ldots$ $[(245, 15872)]$
447440.r1 447440.r \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -2147, -32814]$ \(y^2=x^3-2147x-32814\) 2.3.0.a.1, 188.6.0.?, 476.6.0.?, 22372.12.0.? $[ ]$
447440.r2 447440.r \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 233, -2826]$ \(y^2=x^3+233x-2826\) 2.3.0.a.1, 94.6.0.?, 476.6.0.?, 22372.12.0.? $[ ]$
447440.s1 447440.s \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\Z/2\Z$ $2.625495082$ $[0, 0, 0, -30827, 667546]$ \(y^2=x^3-30827x+667546\) 2.3.0.a.1, 188.6.0.?, 476.6.0.?, 22372.12.0.? $[(247, 2850)]$
447440.s2 447440.s \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\Z/2\Z$ $1.312747541$ $[0, 0, 0, 7253, 81114]$ \(y^2=x^3+7253x+81114\) 2.3.0.a.1, 94.6.0.?, 476.6.0.?, 22372.12.0.? $[(23, 510)]$
447440.t1 447440.t \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -98027, 9227706]$ \(y^2=x^3-98027x+9227706\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.5, 1316.12.0.?, $\ldots$ $[ ]$
447440.t2 447440.t \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -32227, -2103054]$ \(y^2=x^3-32227x-2103054\) 2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.1, 1316.24.0.?, 13160.48.0.? $[ ]$
447440.t3 447440.t \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -31727, -2175154]$ \(y^2=x^3-31727x-2175154\) 2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.y.1.10, 658.6.0.?, 1316.24.0.?, $\ldots$ $[ ]$
447440.t4 447440.t \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\Z/4\Z$ $1$ $[0, 0, 0, 25573, -8819414]$ \(y^2=x^3+25573x-8819414\) 2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.s.1.3, 2632.24.0.?, 13160.48.0.? $[ ]$
447440.u1 447440.u \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 1155944, -463989356]$ \(y^2=x^3+x^2+1155944x-463989356\) 111860.2.0.? $[ ]$
447440.v1 447440.v \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -1, -341]$ \(y^2=x^3+x^2-x-341\) 7990.2.0.? $[ ]$
447440.w1 447440.w \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 12224, -11843276]$ \(y^2=x^3+x^2+12224x-11843276\) 111860.2.0.? $[ ]$
447440.x1 447440.x \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -4921, -135485]$ \(y^2=x^3+x^2-4921x-135485\) 7990.2.0.? $[ ]$
447440.y1 447440.y \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -359241, 224866595]$ \(y^2=x^3+x^2-359241x+224866595\) 7990.2.0.? $[ ]$
447440.z1 447440.z \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\mathsf{trivial}$ $0.474355274$ $[0, 1, 0, -565, 9775]$ \(y^2=x^3+x^2-565x+9775\) 7990.2.0.? $[(15, 70)]$
447440.ba1 447440.ba \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\mathsf{trivial}$ $1.506064364$ $[0, 1, 0, 85680, -518140]$ \(y^2=x^3+x^2+85680x-518140\) 111860.2.0.? $[(1144, 39950)]$
447440.bb1 447440.bb \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\mathsf{trivial}$ $3.574145198$ $[0, 1, 0, -13480, -607772]$ \(y^2=x^3+x^2-13480x-607772\) 111860.2.0.? $[(216, 2570)]$
447440.bc1 447440.bc \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $1$ $\mathsf{trivial}$ $1.794625260$ $[0, 1, 0, 35, 343]$ \(y^2=x^3+x^2+35x+343\) 7990.2.0.? $[(3, 22)]$
447440.bd1 447440.bd \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -2385, -45637]$ \(y^2=x^3+x^2-2385x-45637\) 7990.2.0.? $[ ]$
447440.be1 447440.be \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -260016, -50488384]$ \(y^2=x^3-x^2-260016x-50488384\) 2.3.0.a.1, 8.6.0.b.1, 3196.6.0.?, 6392.12.0.? $[ ]$
447440.be2 447440.be \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -4016, -1950784]$ \(y^2=x^3-x^2-4016x-1950784\) 2.3.0.a.1, 8.6.0.c.1, 1598.6.0.?, 6392.12.0.? $[ ]$
447440.bf1 447440.bf \( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1253836536, 17089136410736]$ \(y^2=x^3-x^2-1253836536x+17089136410736\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 34.6.0.a.1, $\ldots$ $[ ]$
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