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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 120 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
184110.a1 184110.a \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $11.31461183$ $[1, 1, 0, -35199673, -80716024667]$ \(y^2+xy=x^3+x^2-35199673x-80716024667\) 6.2.0.a.1 $[(334713, 193448525)]$
184110.b1 184110.b \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $3.745957042$ $[1, 1, 0, -67153, 6656107]$ \(y^2+xy=x^3+x^2-67153x+6656107\) 2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 136.12.0.?, 152.12.0.?, $\ldots$ $[(661, 15532)]$
184110.b2 184110.b \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $3.745957042$ $[1, 1, 0, -59933, -5648217]$ \(y^2+xy=x^3+x^2-59933x-5648217\) 2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 136.12.0.?, 152.12.0.?, $\ldots$ $[(663, 15372)]$
184110.b3 184110.b \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.872978521$ $[1, 1, 0, -5783, 15873]$ \(y^2+xy=x^3+x^2-5783x+15873\) 2.6.0.a.1, 120.12.0.?, 136.12.0.?, 152.12.0.?, 1020.12.0.?, $\ldots$ $[(93, 495)]$
184110.b4 184110.b \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $0.936489260$ $[1, 1, 0, 1437, 2877]$ \(y^2+xy=x^3+x^2+1437x+2877\) 2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 136.12.0.?, 152.12.0.?, $\ldots$ $[(74, 685)]$
184110.c1 184110.c \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $81.81020598$ $[1, 1, 0, -616068528, 3636991451232]$ \(y^2+xy=x^3+x^2-616068528x+3636991451232\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 152.24.0.?, $\ldots$ $[(5901235284252309770831607512936568763/8544935188401582, 13669479784375066392988666068598260383626520538219526231/8544935188401582)]$
184110.c2 184110.c \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $40.90510299$ $[1, 1, 0, -261595408, -1587304285952]$ \(y^2+xy=x^3+x^2-261595408x-1587304285952\) 2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 76.12.0.?, 136.24.0.?, $\ldots$ $[(188214941437309438627/48492858, 2520250283296249430653632955765/48492858)]$
184110.c3 184110.c \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $20.45255149$ $[1, 1, 0, -259747088, -1611398615808]$ \(y^2+xy=x^3+x^2-259747088x-1611398615808\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 34.6.0.a.1, 68.12.0.g.1, $\ldots$ $[(-967251074501/10194, 3843892856862185/10194)]$
184110.c4 184110.c \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $20.45255149$ $[1, 1, 0, 63304592, -5269525945952]$ \(y^2+xy=x^3+x^2+63304592x-5269525945952\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 76.12.0.?, 136.24.0.?, $\ldots$ $[(36793539511/1222, 6097924210164229/1222)]$
184110.d1 184110.d \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $2.067401840$ $[1, 1, 0, -52269197, 145373479809]$ \(y^2+xy=x^3+x^2-52269197x+145373479809\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 57.8.0-3.a.1.2, $\ldots$ $[(4805, 69617)]$
184110.d2 184110.d \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $4.134803681$ $[1, 1, 0, -2747217, 3017596101]$ \(y^2+xy=x^3+x^2-2747217x+3017596101\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 57.8.0-3.a.1.2, $\ldots$ $[(1670, 54759)]$
184110.d3 184110.d \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $0.689133946$ $[1, 1, 0, -1909697, -772713291]$ \(y^2+xy=x^3+x^2-1909697x-772713291\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 57.8.0-3.a.1.1, $\ldots$ $[(-857, 15771)]$
184110.d4 184110.d \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $1.378267893$ $[1, 1, 0, 285183, -76058379]$ \(y^2+xy=x^3+x^2+285183x-76058379\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 57.8.0-3.a.1.1, $\ldots$ $[(587, 16854)]$
184110.e1 184110.e \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $2.615211189$ $[1, 1, 0, -13421987, 18919415061]$ \(y^2+xy=x^3+x^2-13421987x+18919415061\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.5, 76.12.0.?, $\ldots$ $[(-743, 169139)]$
184110.e2 184110.e \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $10.46084475$ $[1, 1, 0, -5017907, -4123515291]$ \(y^2+xy=x^3+x^2-5017907x-4123515291\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.y.1, 120.24.0.?, $\ldots$ $[(23401/3, 515641/3)]$
184110.e3 184110.e \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.230422379$ $[1, 1, 0, -902507, 247862589]$ \(y^2+xy=x^3+x^2-902507x+247862589\) 2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 76.12.0.?, 120.24.0.?, $\ldots$ $[(1838, 68381)]$
184110.e4 184110.e \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $2.615211189$ $[1, 1, 0, 137173, 24747261]$ \(y^2+xy=x^3+x^2+137173x+24747261\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.y.1, 76.12.0.?, $\ldots$ $[(1385, 52916)]$
184110.f1 184110.f \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $1.975081639$ $[1, 1, 0, -39789427, -95563114259]$ \(y^2+xy=x^3+x^2-39789427x-95563114259\) 2.3.0.a.1, 68.6.0.c.1, 76.6.0.?, 1292.12.0.? $[(-3498, 30629)]$
184110.f2 184110.f \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $3.950163279$ $[1, 1, 0, -4671347, 1524329709]$ \(y^2+xy=x^3+x^2-4671347x+1524329709\) 2.3.0.a.1, 34.6.0.a.1, 76.6.0.?, 1292.12.0.? $[(2998, 118821)]$
184110.g1 184110.g \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $2.086445586$ $[1, 1, 0, -3723722, 2761359384]$ \(y^2+xy=x^3+x^2-3723722x+2761359384\) 2.3.0.a.1, 76.6.0.?, 204.6.0.?, 3876.12.0.? $[(1028, 4076)]$
184110.g2 184110.g \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $4.172891172$ $[1, 1, 0, -294222, 18445284]$ \(y^2+xy=x^3+x^2-294222x+18445284\) 2.3.0.a.1, 76.6.0.?, 204.6.0.?, 1938.6.0.?, 3876.12.0.? $[(-172, 8086)]$
184110.h1 184110.h \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $9.260668179$ $[1, 1, 0, -17844237, -27532733571]$ \(y^2+xy=x^3+x^2-17844237x-27532733571\) 2.3.0.a.1, 60.6.0.c.1, 2584.6.0.?, 38760.12.0.? $[(197389, 87578278)]$
184110.h2 184110.h \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $4.630334089$ $[1, 1, 0, 812243, -1760672099]$ \(y^2+xy=x^3+x^2+812243x-1760672099\) 2.3.0.a.1, 30.6.0.a.1, 2584.6.0.?, 38760.12.0.? $[(1005, 7981)]$
184110.i1 184110.i \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -9656757, -11555191251]$ \(y^2+xy=x^3+x^2-9656757x-11555191251\) 40.2.0.a.1 $[ ]$
184110.j1 184110.j \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $2.216157612$ $[1, 1, 0, -113722, -7943816]$ \(y^2+xy=x^3+x^2-113722x-7943816\) 2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? $[(378, 1616)]$
184110.j2 184110.j \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $4.432315224$ $[1, 1, 0, 23458, -892764]$ \(y^2+xy=x^3+x^2+23458x-892764\) 2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? $[(40, 314)]$
184110.k1 184110.k \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $8.241338643$ $[1, 1, 0, -18918212, 31663590486]$ \(y^2+xy=x^3+x^2-18918212x+31663590486\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 57.8.0-3.a.1.2, 60.24.0.t.1, $\ldots$ $[(170769/7, 30227196/7)]$
184110.k2 184110.k \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $4.120669321$ $[1, 1, 0, -1182282, 494467104]$ \(y^2+xy=x^3+x^2-1182282x+494467104\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 57.8.0-3.a.1.2, $\ldots$ $[(-325, 29223)]$
184110.k3 184110.k \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $2.747112881$ $[1, 1, 0, -236462, 42210636]$ \(y^2+xy=x^3+x^2-236462x+42210636\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 57.8.0-3.a.1.1, 60.24.0.t.1, $\ldots$ $[(197, 1724)]$
184110.k4 184110.k \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $1.373556440$ $[1, 1, 0, 9018, 2590164]$ \(y^2+xy=x^3+x^2+9018x+2590164\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 57.8.0-3.a.1.1, $\ldots$ $[(-97, 951)]$
184110.l1 184110.l \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $2.807377781$ $[1, 1, 0, -430180242, 3434005263744]$ \(y^2+xy=x^3+x^2-430180242x+3434005263744\) 2.3.0.a.1, 8.6.0.d.1, 1938.6.0.?, 7752.12.0.? $[(11930, 2338)]$
184110.l2 184110.l \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $5.614755562$ $[1, 1, 0, -427923992, 3471811439994]$ \(y^2+xy=x^3+x^2-427923992x+3471811439994\) 2.3.0.a.1, 8.6.0.a.1, 3876.6.0.?, 7752.12.0.? $[(23805, 2591088)]$
184110.m1 184110.m \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $481.4389323$ $[1, 1, 0, -387179173092, -92729272181485104]$ \(y^2+xy=x^3+x^2-387179173092x-92729272181485104\) 2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? $[(1658909027217381011776717809124481211357102443338901101732328705689528119727158507252807709198017305873224860012891061619294938920470771225112794021606239081693928946903915763666116996727228104830786421967839379/1354003268123265946708670711603016403247270055652089742490350357474649153405372763759084975316394713973, 1353532271823948763629056235892369160442951157636016291290951534890877560890401901170859732990281983305678011351576769050711773503023485308985459399315067334055908514213782457538918526142747004536325046277136153644753043959920468912172561849885453206471608534846569397213055571539235375119113851525405500779180485104/1354003268123265946708670711603016403247270055652089742490350357474649153405372763759084975316394713973)]$
184110.m2 184110.m \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $240.7194661$ $[1, 1, 0, -24198698212, -1448902453227056]$ \(y^2+xy=x^3+x^2-24198698212x-1448902453227056\) 2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? $[(96997456938981623501160905219690496685732799126457746649783606609061983118838317922859287259069198127330275/569037200642963086529342691132444064219052142614509, 24818174763339656053504740783543310046105995529343597497912628044870825262158396277635576037316035619944342849559955476047934683048614514845578592155142236393577/569037200642963086529342691132444064219052142614509)]$
184110.n1 184110.n \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $15.02206562$ $[1, 1, 0, -10891377, -13839320559]$ \(y^2+xy=x^3+x^2-10891377x-13839320559\) 6.2.0.a.1 $[(10551028/3, 34256269973/3)]$
184110.o1 184110.o \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $6.149917665$ $[1, 0, 1, 2147581, -1889958658]$ \(y^2+xy+y=x^3+2147581x-1889958658\) 6.2.0.a.1 $[(734, 8685)]$
184110.p1 184110.p \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $2$ $\Z/2\Z$ $13.64434141$ $[1, 0, 1, -2361309, 1396401232]$ \(y^2+xy+y=x^3-2361309x+1396401232\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 152.24.0.?, $\ldots$ $[(980, 4383), (12430/3, 730597/3)]$
184110.p2 184110.p \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $3.411085354$ $[1, 0, 1, -151989, 20436736]$ \(y^2+xy+y=x^3-151989x+20436736\) 2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 76.12.0.?, 136.24.0.?, $\ldots$ $[(11, 4326), (388, 4268)]$
184110.p3 184110.p \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $2$ $\Z/2\Z$ $3.411085354$ $[1, 0, 1, -36469, -2343808]$ \(y^2+xy+y=x^3-36469x-2343808\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 34.6.0.a.1, 68.12.0.g.1, $\ldots$ $[(-122, 602), (-77, 134)]$
184110.p4 184110.p \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $2$ $\Z/2\Z$ $0.852771338$ $[1, 0, 1, 209011, 102889136]$ \(y^2+xy+y=x^3+209011x+102889136\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 76.12.0.?, 136.24.0.?, $\ldots$ $[(-84, 9247), (18, 10318)]$
184110.q1 184110.q \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $10.18913884$ $[1, 0, 1, -23561034, 44015646082]$ \(y^2+xy+y=x^3-23561034x+44015646082\) 2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? $[(881206/15, 360274109/15)]$
184110.q2 184110.q \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $5.094569423$ $[1, 0, 1, -1406464, 752201786]$ \(y^2+xy+y=x^3-1406464x+752201786\) 2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? $[(2880, 142057)]$
184110.r1 184110.r \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $0.305492230$ $[1, 0, 1, -281189, 56838836]$ \(y^2+xy+y=x^3-281189x+56838836\) 2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? $[(201, 2806)]$
184110.r2 184110.r \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $0.610984461$ $[1, 0, 1, -4169, 2210492]$ \(y^2+xy+y=x^3-4169x+2210492\) 2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.? $[(30, 1438)]$
184110.s1 184110.s \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -767494, 217990376]$ \(y^2+xy+y=x^3-767494x+217990376\) 2.3.0.a.1, 76.6.0.?, 204.6.0.?, 3876.12.0.? $[ ]$
184110.s2 184110.s \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -218774, -36176728]$ \(y^2+xy+y=x^3-218774x-36176728\) 2.3.0.a.1, 76.6.0.?, 204.6.0.?, 1938.6.0.?, 3876.12.0.? $[ ]$
184110.t1 184110.t \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $2$ $\Z/2\Z$ $1.024621285$ $[1, 0, 1, -1319, 13142]$ \(y^2+xy+y=x^3-1319x+13142\) 2.3.0.a.1, 152.6.0.?, 408.6.0.?, 1938.6.0.?, 7752.12.0.? $[(36, 94), (30, 13)]$
184110.t2 184110.t \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $2$ $\Z/2\Z$ $1.024621285$ $[1, 0, 1, 3431, 87242]$ \(y^2+xy+y=x^3+3431x+87242\) 2.3.0.a.1, 152.6.0.?, 408.6.0.?, 3876.6.0.?, 7752.12.0.? $[(16, 374), (-20, 113)]$
184110.u1 184110.u \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $2.040843640$ $[1, 0, 1, -56324, -4587784]$ \(y^2+xy+y=x^3-56324x-4587784\) 2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? $[(-132, 808)]$
184110.u2 184110.u \( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $1.020421820$ $[1, 0, 1, 5046, -365528]$ \(y^2+xy+y=x^3+5046x-365528\) 2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? $[(68, 507)]$
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