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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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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
410958.a1 410958.a \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $3.995625596$ $[1, -1, 0, -160449, -25142851]$ \(y^2+xy=x^3-x^2-160449x-25142851\) 948.2.0.? $[(898, 23095)]$
410958.b1 410958.b \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 195998301, -287440232171]$ \(y^2+xy=x^3-x^2+195998301x-287440232171\) 6.2.0.a.1 $[ ]$
410958.c1 410958.c \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -1037310066, 11634700437796]$ \(y^2+xy=x^3-x^2-1037310066x+11634700437796\) 3.4.0.a.1, 51.8.0-3.a.1.2, 316.2.0.?, 948.8.0.?, 16116.16.0.? $[ ]$
410958.c2 410958.c \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -231832386, -1356066598892]$ \(y^2+xy=x^3-x^2-231832386x-1356066598892\) 3.4.0.a.1, 51.8.0-3.a.1.1, 316.2.0.?, 948.8.0.?, 16116.16.0.? $[ ]$
410958.d1 410958.d \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $2$ $\mathsf{trivial}$ $1.466442717$ $[1, -1, 0, 99, 81]$ \(y^2+xy=x^3-x^2+99x+81\) 158.2.0.? $[(0, 9), (9, 36)]$
410958.e1 410958.e \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $0.807159209$ $[1, -1, 0, -304371, 64911861]$ \(y^2+xy=x^3-x^2-304371x+64911861\) 158.2.0.? $[(166, 4269)]$
410958.f1 410958.f \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -22596, -935344]$ \(y^2+xy=x^3-x^2-22596x-935344\) 316.2.0.? $[ ]$
410958.g1 410958.g \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $3.221730383$ $[1, -1, 0, -409788, -88749014]$ \(y^2+xy=x^3-x^2-409788x-88749014\) 632.2.0.? $[(1025, 23306)]$
410958.h1 410958.h \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\Z/2\Z$ $1.983066012$ $[1, -1, 0, -23463, -1179549]$ \(y^2+xy=x^3-x^2-23463x-1179549\) 2.3.0.a.1, 8.6.0.b.1, 316.6.0.?, 632.12.0.? $[(285, 3759)]$
410958.h2 410958.h \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\Z/2\Z$ $3.966132024$ $[1, -1, 0, 2547, -102735]$ \(y^2+xy=x^3-x^2+2547x-102735\) 2.3.0.a.1, 8.6.0.c.1, 158.6.0.?, 632.12.0.? $[(192, 2631)]$
410958.i1 410958.i \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -6590988, -6511121010]$ \(y^2+xy=x^3-x^2-6590988x-6511121010\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 136.12.0.?, 408.24.0.?, $\ldots$ $[ ]$
410958.i2 410958.i \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1753128, 798198786]$ \(y^2+xy=x^3-x^2-1753128x+798198786\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 136.12.0.?, 408.24.0.?, $\ldots$ $[ ]$
410958.i3 410958.i \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -426618, -94011840]$ \(y^2+xy=x^3-x^2-426618x-94011840\) 2.6.0.a.1, 12.12.0-2.a.1.1, 136.12.0.?, 408.24.0.?, 632.12.0.?, $\ldots$ $[ ]$
410958.i4 410958.i \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 41562, -7773084]$ \(y^2+xy=x^3-x^2+41562x-7773084\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 136.12.0.?, 408.24.0.?, $\ldots$ $[ ]$
410958.j1 410958.j \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $9.391342317$ $[1, -1, 0, -855783, 78157309]$ \(y^2+xy=x^3-x^2-855783x+78157309\) 632.2.0.? $[(35573, 6689234)]$
410958.k1 410958.k \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $2$ $\mathsf{trivial}$ $125.7109864$ $[1, -1, 0, -102997053, -401912739131]$ \(y^2+xy=x^3-x^2-102997053x-401912739131\) 632.2.0.? $[(77591/2, 17628883/2), (-1495087/16, 92631089/16)]$
410958.l1 410958.l \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $5.057083123$ $[1, -1, 0, -1342170, 1770936372]$ \(y^2+xy=x^3-x^2-1342170x+1770936372\) 158.2.0.? $[(3108, 164622)]$
410958.m1 410958.m \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -92607792, 259631758592]$ \(y^2+xy=x^3-x^2-92607792x+259631758592\) 2.3.0.a.1, 8.6.0.b.1, 5372.6.0.?, 10744.12.0.? $[ ]$
410958.m2 410958.m \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 13929168, 25697901824]$ \(y^2+xy=x^3-x^2+13929168x+25697901824\) 2.3.0.a.1, 8.6.0.c.1, 2686.6.0.?, 10744.12.0.? $[ ]$
410958.n1 410958.n \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $2$ $\Z/2\Z$ $51.26099130$ $[1, -1, 0, -34158987, -70460350011]$ \(y^2+xy=x^3-x^2-34158987x-70460350011\) 2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? $[(-2579, 23133), (-24493893/86, 51679621599/86)]$
410958.n2 410958.n \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $2$ $\Z/2\Z$ $12.81524782$ $[1, -1, 0, -7524747, 6709696965]$ \(y^2+xy=x^3-x^2-7524747x+6709696965\) 2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? $[(22, 80885), (625545/16, 215885565/16)]$
410958.o1 410958.o \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $1.786737867$ $[1, -1, 0, -4644, 361552]$ \(y^2+xy=x^3-x^2-4644x+361552\) 158.2.0.? $[(-88, 332)]$
410958.p1 410958.p \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $1.343471616$ $[1, -1, 0, -60811434, 182536233156]$ \(y^2+xy=x^3-x^2-60811434x+182536233156\) 5.12.0.a.2, 255.24.0.?, 316.2.0.?, 1580.24.1.?, 80580.48.1.? $[(29680/3, 3562778/3)]$
410958.p2 410958.p \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $6.717358080$ $[1, -1, 0, -1092474, -435377484]$ \(y^2+xy=x^3-x^2-1092474x-435377484\) 5.12.0.a.1, 255.24.0.?, 316.2.0.?, 1580.24.1.?, 80580.48.1.? $[(-697820/33, 51613358/33)]$
410958.q1 410958.q \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $9.486152599$ $[1, -1, 0, -221139, -39220619]$ \(y^2+xy=x^3-x^2-221139x-39220619\) 316.2.0.? $[(-43650/13, 2007673/13)]$
410958.r1 410958.r \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -356391, -81722115]$ \(y^2+xy=x^3-x^2-356391x-81722115\) 632.2.0.? $[ ]$
410958.s1 410958.s \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $4.059526725$ $[1, -1, 0, -2961, 16605]$ \(y^2+xy=x^3-x^2-2961x+16605\) 632.2.0.? $[(153, 1692)]$
410958.t1 410958.t \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\Z/2\Z$ $16.69658859$ $[1, -1, 0, -27172701, 54125469189]$ \(y^2+xy=x^3-x^2-27172701x+54125469189\) 2.3.0.a.1, 8.6.0.b.1, 316.6.0.?, 632.12.0.? $[(1318125375/613, 9799596265824/613)]$
410958.t2 410958.t \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\Z/2\Z$ $33.39317718$ $[1, -1, 0, -538461, 1980954117]$ \(y^2+xy=x^3-x^2-538461x+1980954117\) 2.3.0.a.1, 8.6.0.c.1, 158.6.0.?, 632.12.0.? $[(-1122861004324469/1620159, 197316131433169580189323/1620159)]$
410958.u1 410958.u \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $33.26040119$ $[1, -1, 0, -118428786, -436497620850]$ \(y^2+xy=x^3-x^2-118428786x-436497620850\) 632.2.0.? $[(30177750133574493/1017001, 4798788579612901988226987/1017001)]$
410958.v1 410958.v \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $23.60421419$ $[1, -1, 0, -87963273, 318560120077]$ \(y^2+xy=x^3-x^2-87963273x+318560120077\) 158.2.0.? $[(172171289218/8223, 184612586965194785/8223)]$
410958.w1 410958.w \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 28557, 512257]$ \(y^2+xy=x^3-x^2+28557x+512257\) 158.2.0.? $[ ]$
410958.x1 410958.x \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 678195, -58665627]$ \(y^2+xy=x^3-x^2+678195x-58665627\) 6.2.0.a.1 $[ ]$
410958.y1 410958.y \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\Z/2\Z$ $72.62494193$ $[1, -1, 0, -65002126860, -6377732310900272]$ \(y^2+xy=x^3-x^2-65002126860x-6377732310900272\) 2.3.0.a.1, 8.6.0.b.1, 5372.6.0.?, 10744.12.0.? $[(-88838809060069590154460223810089319/780934588869703, -50843215923918750723551578495285035584772098250419/780934588869703)]$
410958.y2 410958.y \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\Z/2\Z$ $36.31247096$ $[1, -1, 0, -3636837900, -121357005561392]$ \(y^2+xy=x^3-x^2-3636837900x-121357005561392\) 2.3.0.a.1, 8.6.0.c.1, 2686.6.0.?, 10744.12.0.? $[(7392929864126098931/10060715, 1622803363873669039845894301/10060715)]$
410958.z1 410958.z \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -2174490, -1228821782]$ \(y^2+xy=x^3-x^2-2174490x-1228821782\) 2.3.0.a.1, 8.6.0.b.1, 5372.6.0.?, 10744.12.0.? $[ ]$
410958.z2 410958.z \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -67680, -38474132]$ \(y^2+xy=x^3-x^2-67680x-38474132\) 2.3.0.a.1, 8.6.0.c.1, 2686.6.0.?, 10744.12.0.? $[ ]$
410958.ba1 410958.ba \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $2$ $\mathsf{trivial}$ $0.746955292$ $[1, -1, 1, -551237, -120707395]$ \(y^2+xy+y=x^3-x^2-551237x-120707395\) 632.2.0.? $[(-369, 5872), (5319, 381280)]$
410958.bb1 410958.bb \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -37769, 6448389]$ \(y^2+xy+y=x^3-x^2-37769x+6448389\) 158.2.0.? $[ ]$
410958.bc1 410958.bc \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $69.51309711$ $[1, -1, 1, -4901639, -4175860773]$ \(y^2+xy+y=x^3-x^2-4901639x-4175860773\) 3.4.0.a.1, 51.8.0-3.a.1.1, 158.2.0.?, 474.8.0.?, 8058.16.0.? $[(6114260237412275478552469638311/18639887642467, 14935469958456379622740350312999102597472304304/18639887642467)]$
410958.bc2 410958.bc \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $23.17103237$ $[1, -1, 1, -1143194, -10371281511]$ \(y^2+xy+y=x^3-x^2-1143194x-10371281511\) 3.4.0.a.1, 51.8.0-3.a.1.2, 158.2.0.?, 474.8.0.?, 8058.16.0.? $[(61269381023/623, 15146307597975849/623)]$
410958.bd1 410958.bd \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $4.833200274$ $[1, -1, 1, -16961, -1958043]$ \(y^2+xy+y=x^3-x^2-16961x-1958043\) 948.2.0.? $[(2015, 89226)]$
410958.be1 410958.be \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -9158, -315367]$ \(y^2+xy+y=x^3-x^2-9158x-315367\) 316.2.0.? $[ ]$
410958.bf1 410958.bf \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -138348545, -626830349551]$ \(y^2+xy+y=x^3-x^2-138348545x-626830349551\) 6.2.0.a.1 $[ ]$
410958.bg1 410958.bg \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $2$ $\mathsf{trivial}$ $0.720248872$ $[1, -1, 1, -5690, 165529]$ \(y^2+xy+y=x^3-x^2-5690x+165529\) 632.2.0.? $[(13, 299), (253/3, 4061/3)]$
410958.bh1 410958.bh \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $53.11950578$ $[1, -1, 1, -10937466455, -440271450964065]$ \(y^2+xy+y=x^3-x^2-10937466455x-440271450964065\) 3.4.0.a.1, 6.8.0.b.1, 18.24.0.c.1, 51.8.0-3.a.1.1, 102.16.0.?, $\ldots$ $[(4679314242758122259465825/6217341707, 728873582281015211791598757170046780/6217341707)]$
410958.bh2 410958.bh \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $17.70650192$ $[1, -1, 1, -10227120350, -499928305831059]$ \(y^2+xy+y=x^3-x^2-10227120350x-499928305831059\) 3.4.0.a.1, 6.24.0.c.1, 51.8.0-3.a.1.2, 102.48.0.? $[(417747647/59, 199958427225/59)]$
410958.bi1 410958.bi \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $1.355477615$ $[1, -1, 1, 2470, 565913]$ \(y^2+xy+y=x^3-x^2+2470x+565913\) 632.2.0.? $[(49, 871)]$
410958.bj1 410958.bj \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $1.933845820$ $[1, -1, 1, -305825, 65172849]$ \(y^2+xy+y=x^3-x^2-305825x+65172849\) 3.4.0.a.1, 51.8.0-3.a.1.2, 632.2.0.?, 1896.8.0.?, 32232.16.0.? $[(327, 68)]$
410958.bj2 410958.bj \( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $5.801537461$ $[1, -1, 1, -3650, 96441]$ \(y^2+xy+y=x^3-x^2-3650x+96441\) 3.4.0.a.1, 51.8.0-3.a.1.1, 632.2.0.?, 1896.8.0.?, 32232.16.0.? $[(91/3, 6491/3)]$
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