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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 (47 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
207368.a1 207368.a \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -3703, -85169]$ \(y^2=x^3-3703x-85169\) 2.2.0.a.1, 14.6.0.a.1, 644.12.0.? $[ ]$
207368.b1 207368.b \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $8.100085629$ $[0, 0, 0, -1425655, -655205117]$ \(y^2=x^3-1425655x-655205117\) 46.2.0.a.1 $[(31927, 5700709)]$
207368.c1 207368.c \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -218228899, 1258941159427]$ \(y^2=x^3-218228899x+1258941159427\) 46.2.0.a.1 $[ ]$
207368.d1 207368.d \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $4.546139544$ $[0, 1, 0, -1045480, -406856976]$ \(y^2=x^3+x^2-1045480x-406856976\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 $[(1579, 43378)]$
207368.d2 207368.d \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.273069772$ $[0, 1, 0, -8640, -17005136]$ \(y^2=x^3+x^2-8640x-17005136\) 2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 $[(452, 8464)]$
207368.e1 207368.e \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.962080582$ $[0, 1, 0, -1149164, -379069664]$ \(y^2=x^3+x^2-1149164x-379069664\) 2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? $[(18967, 2607970)]$
207368.e2 207368.e \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $11.92416116$ $[0, 1, 0, 2479776, -2286440528]$ \(y^2=x^3+x^2+2479776x-2286440528\) 2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? $[(15919691/29, 63729164290/29)]$
207368.f1 207368.f \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -4570736, -5070978032]$ \(y^2=x^3+x^2-4570736x-5070978032\) 4.2.0.a.1, 644.4.0.? $[ ]$
207368.g1 207368.g \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $1.430642108$ $[0, 1, 0, -12658088, 17328498592]$ \(y^2=x^3+x^2-12658088x+17328498592\) 2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? $[(2683, 51842)]$
207368.g2 207368.g \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.861284216$ $[0, 1, 0, -734428, 311051040]$ \(y^2=x^3+x^2-734428x+311051040\) 2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? $[(452, 8464)]$
207368.h1 207368.h \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -8640, 413776]$ \(y^2=x^3+x^2-8640x+413776\) 4.2.0.a.1, 28.4.0-4.a.1.1 $[ ]$
207368.i1 207368.i \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -69269552, 209981665312]$ \(y^2=x^3+x^2-69269552x+209981665312\) 2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? $[ ]$
207368.i2 207368.i \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -68232712, 216915221760]$ \(y^2=x^3+x^2-68232712x+216915221760\) 2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? $[ ]$
207368.j1 207368.j \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $19.03077891$ $[0, 1, 0, -9754936, -5083834848]$ \(y^2=x^3+x^2-9754936x-5083834848\) 2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? $[(-860974567/596, 13925628927035/596)]$
207368.j2 207368.j \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $9.515389458$ $[0, 1, 0, 2168724, -600538688]$ \(y^2=x^3+x^2+2168724x-600538688\) 2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? $[(9250896/95, 44554673744/95)]$
207368.k1 207368.k \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.966158220$ $[0, -1, 0, -2186004, 1390740373]$ \(y^2=x^3-x^2-2186004x+1390740373\) 46.2.0.a.1 $[(882, 12167)]$
207368.l1 207368.l \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $2.656852413$ $[0, -1, 0, -734428, 243995333]$ \(y^2=x^3-x^2-734428x+243995333\) 46.2.0.a.1 $[(3274, 181447)]$
207368.m1 207368.m \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -8640, -284171]$ \(y^2=x^3-x^2-8640x-284171\) 2.2.0.a.1, 14.6.0.a.1, 92.4.0.?, 644.12.0.? $[ ]$
207368.n1 207368.n \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $3.298643797$ $[0, -1, 0, -4132, -112867]$ \(y^2=x^3-x^2-4132x-112867\) 46.2.0.a.1 $[(146, 1541)]$
207368.o1 207368.o \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $3.818779810$ $[0, 0, 0, 12397, -268226]$ \(y^2=x^3+12397x-268226\) 4.8.0.b.1, 644.16.0.? $[(39, 524)]$
207368.p1 207368.p \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $6.091218036$ $[0, 0, 0, -907235, 258743422]$ \(y^2=x^3-907235x+258743422\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[(1281/2, 8183/2)]$
207368.p2 207368.p \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $12.18243607$ $[0, 0, 0, 129605, 25039686]$ \(y^2=x^3+129605x+25039686\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[(1363985/4, 1593009159/4)]$
207368.q1 207368.q \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $8.252301237$ $[0, 0, 0, 6558013, 3263505742]$ \(y^2=x^3+6558013x+3263505742\) 4.8.0.b.1, 28.16.0-4.b.1.1 $[(376119/13, 373374548/13)]$
207368.r1 207368.r \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $20.61653819$ $[0, 0, 0, -25376659, 49202982990]$ \(y^2=x^3-25376659x+49202982990\) 2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? $[(3824210518/1127, 13710510850170/1127)]$
207368.r2 207368.r \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $10.30826909$ $[0, 0, 0, -1529339, 826309638]$ \(y^2=x^3-1529339x+826309638\) 2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? $[(174671/23, 229996592/23)]$
207368.s1 207368.s \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -7750379, 8304829190]$ \(y^2=x^3-7750379x+8304829190\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 92.12.0.?, $\ldots$ $[ ]$
207368.s2 207368.s \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1529339, -575912778]$ \(y^2=x^3-1529339x-575912778\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 184.24.0.?, $\ldots$ $[ ]$
207368.s3 207368.s \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -492499, 125198430]$ \(y^2=x^3-492499x+125198430\) 2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 92.12.0.?, $\ldots$ $[ ]$
207368.s4 207368.s \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 25921, 8346562]$ \(y^2=x^3+25921x+8346562\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ $[ ]$
207368.t1 207368.t \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -8640, 3861269]$ \(y^2=x^3+x^2-8640x+3861269\) 46.2.0.a.1 $[ ]$
207368.u1 207368.u \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $2.598272876$ $[0, 1, 0, 376, -6595]$ \(y^2=x^3+x^2+376x-6595\) 46.2.0.a.1 $[(107, 1127), (38, 253)]$
207368.v1 207368.v \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.968004592$ $[0, 1, 0, 376, 17072]$ \(y^2=x^3+x^2+376x+17072\) 5.5.0.a.1, 8.2.0.a.1, 40.10.0.a.1 $[(23, 196)]$
207368.w1 207368.w \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.623452024$ $[0, 1, 0, -112324, 14955457]$ \(y^2=x^3+x^2-112324x+14955457\) 46.2.0.a.1 $[(912, 25921)]$
207368.x1 207368.x \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $12.48570910$ $[0, 1, 0, -423376, 98317393]$ \(y^2=x^3+x^2-423376x+98317393\) 2.2.0.a.1, 14.6.0.a.1, 644.12.0.? $[(41196/25, 131381881/25)]$
207368.y1 207368.y \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $17.20516255$ $[0, 1, 0, 198728, -206124752]$ \(y^2=x^3+x^2+198728x-206124752\) 5.5.0.a.1, 8.2.0.a.1, 40.10.0.a.1 $[(12658087087/1581, 1428659303621984/1581)]$
207368.z1 207368.z \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 198728, 81831637]$ \(y^2=x^3+x^2+198728x+81831637\) 46.2.0.a.1 $[ ]$
207368.ba1 207368.ba \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -14109664, 19791928668]$ \(y^2=x^3-x^2-14109664x+19791928668\) 2.3.0.a.1, 28.6.0.e.1, 92.6.0.?, 644.12.0.? $[ ]$
207368.ba2 207368.ba \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2186004, -816925276]$ \(y^2=x^3-x^2-2186004x-816925276\) 2.3.0.a.1, 28.6.0.e.1, 92.6.0.?, 322.6.0.?, 644.12.0.? $[ ]$
207368.bb1 207368.bb \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $70.12401744$ $[0, -1, 0, -439836168, 517800696428]$ \(y^2=x^3-x^2-439836168x+517800696428\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 $[(59932411782605235405348682358833/25183091608713, 452546836144193941402016338659393751097431866242/25183091608713)]$
207368.bb2 207368.bb \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $35.06200872$ $[0, -1, 0, 108652192, 64310520380]$ \(y^2=x^3-x^2+108652192x+64310520380\) 2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 $[(257468502381199513/1660889, 131459640071759823721436658/1660889)]$
207368.bc1 207368.bc \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -26672, -1617412]$ \(y^2=x^3-x^2-26672x-1617412\) 2.3.0.a.1, 28.6.0.e.1, 92.6.0.?, 644.12.0.? $[ ]$
207368.bc2 207368.bc \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -4132, 68580]$ \(y^2=x^3-x^2-4132x+68580\) 2.3.0.a.1, 28.6.0.e.1, 92.6.0.?, 322.6.0.?, 644.12.0.? $[ ]$
207368.bd1 207368.bd \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $7.242570334$ $[0, -1, 0, -23452, 1111860]$ \(y^2=x^3-x^2-23452x+1111860\) 2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? $[(66357/11, 16457190/11)]$
207368.bd2 207368.bd \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $14.48514066$ $[0, -1, 0, 50608, 6651548]$ \(y^2=x^3-x^2+50608x+6651548\) 2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? $[(10855381/610, 648066632829/610)]$
207368.be1 207368.be \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 1373813, -20866405]$ \(y^2=x^3+1373813x-20866405\) 46.2.0.a.1 $[ ]$
207368.bf1 207368.bf \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $193.8741818$ $[0, 0, 0, 633120425, -155311577884981]$ \(y^2=x^3+633120425x-155311577884981\) 46.2.0.a.1 $[(297437563360358244442894780047350549490513863273959374623331341224887500212991145382363/41793673909954397059569667713416357246589, 5104986898870351266175108787552526502732748197254926077757935813292331141782438869267956083033800568609072718613007069105365602709/41793673909954397059569667713416357246589)]$
207368.bg1 207368.bg \( 2^{3} \cdot 7^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $6.774771902$ $[0, 0, 0, -181447, 29212967]$ \(y^2=x^3-181447x+29212967\) 2.2.0.a.1, 14.6.0.a.1, 92.4.0.?, 644.12.0.? $[(17101/9, 409591/9)]$
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