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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 362 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
432960.a1 432960.a \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\mathsf{trivial}$ $1.545508263$ $[0, -1, 0, -16, 46]$ \(y^2=x^3-x^2-16x+46\) 27060.2.0.? $[(3, 4)]$
432960.b1 432960.b \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 286879, -109297695]$ \(y^2=x^3-x^2+286879x-109297695\) 4920.2.0.? $[ ]$
432960.c1 432960.c \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z$ $7.357510366$ $[0, -1, 0, -944801, -353160159]$ \(y^2=x^3-x^2-944801x-353160159\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 264.24.0.?, $\ldots$ $[(2575, 119504)]$
432960.c2 432960.c \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z$ $7.357510366$ $[0, -1, 0, -106721, 4610145]$ \(y^2=x^3-x^2-106721x+4610145\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 264.24.0.?, $\ldots$ $[(6073/4, 276325/4)]$
432960.c3 432960.c \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.678755183$ $[0, -1, 0, -59201, -5473599]$ \(y^2=x^3-x^2-59201x-5473599\) 2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 264.24.0.?, 1640.12.0.?, $\ldots$ $[(361, 4480)]$
432960.c4 432960.c \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z$ $7.357510366$ $[0, -1, 0, -881, -213135]$ \(y^2=x^3-x^2-881x-213135\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 264.24.0.?, $\ldots$ $[(4209/7, 199296/7)]$
432960.d1 432960.d \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\mathsf{trivial}$ $1.326188043$ $[0, -1, 0, -92581, 7940605]$ \(y^2=x^3-x^2-92581x+7940605\) 13530.2.0.? $[(-244, 3993)]$
432960.e1 432960.e \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $2.167273809$ $[0, -1, 0, -881, 7281]$ \(y^2=x^3-x^2-881x+7281\) 2.3.0.a.1, 66.6.0.a.1, 164.6.0.?, 5412.12.0.? $[(1, 80), (25, 16)]$
432960.e2 432960.e \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $2.167273809$ $[0, -1, 0, 2399, 45985]$ \(y^2=x^3-x^2+2399x+45985\) 2.3.0.a.1, 132.6.0.?, 164.6.0.?, 5412.12.0.? $[(49, 528), (-15, 80)]$
432960.f1 432960.f \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $3.155568678$ $[0, -1, 0, -402624001, 3109684637185]$ \(y^2=x^3-x^2-402624001x+3109684637185\) 2.3.0.a.1, 66.6.0.a.1, 164.6.0.?, 5412.12.0.? $[(10433, 211200), (11544, 7667)]$
432960.f2 432960.f \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $3.155568678$ $[0, -1, 0, -402571521, 3110535768321]$ \(y^2=x^3-x^2-402571521x+3110535768321\) 2.3.0.a.1, 132.6.0.?, 164.6.0.?, 5412.12.0.? $[(6113, 937024), (12768, 227601)]$
432960.g1 432960.g \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\mathsf{trivial}$ $6.853896181$ $[0, -1, 0, -1776, 518526]$ \(y^2=x^3-x^2-1776x+518526\) 27060.2.0.? $[(899, 26920)]$
432960.h1 432960.h \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\mathsf{trivial}$ $179.1712836$ $[0, -1, 0, -647841656, -6346555784250]$ \(y^2=x^3-x^2-647841656x-6346555784250\) 27060.2.0.? $[(476681503926679912861782733588046202663730007014801010531303372368515950555959/3437080669821645854873649763044277543, 233987198084483660772194994085300895947225109728474800015931900706225431941225189039384613115029158607978172957658434/3437080669821645854873649763044277543)]$
432960.i1 432960.i \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1121, 21345]$ \(y^2=x^3-x^2-1121x+21345\) 27060.2.0.? $[ ]$
432960.j1 432960.j \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1466011, 682596145]$ \(y^2=x^3-x^2-1466011x+682596145\) 13530.2.0.? $[ ]$
432960.k1 432960.k \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\mathsf{trivial}$ $1.908259463$ $[0, -1, 0, -9281, 378081]$ \(y^2=x^3-x^2-9281x+378081\) 18040.2.0.? $[(5, 576), (133, 1216)]$
432960.l1 432960.l \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z$ $3.413386854$ $[0, -1, 0, -20041, -1082135]$ \(y^2=x^3-x^2-20041x-1082135\) 2.3.0.a.1, 10.6.0.a.1, 1804.6.0.?, 9020.12.0.? $[(685/2, 5535/2)]$
432960.l2 432960.l \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z$ $6.826773708$ $[0, -1, 0, -1816, 430]$ \(y^2=x^3-x^2-1816x+430\) 2.3.0.a.1, 20.6.0.c.1, 1804.6.0.?, 9020.12.0.? $[(2043, 92300)]$
432960.m1 432960.m \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -42554121, 93823242345]$ \(y^2=x^3-x^2-42554121x+93823242345\) 2.3.0.a.1, 10.6.0.a.1, 1804.6.0.?, 9020.12.0.? $[ ]$
432960.m2 432960.m \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -10913496, -12381679530]$ \(y^2=x^3-x^2-10913496x-12381679530\) 2.3.0.a.1, 20.6.0.c.1, 1804.6.0.?, 9020.12.0.? $[ ]$
432960.n1 432960.n \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\mathsf{trivial}$ $2.805165131$ $[0, -1, 0, -341, -1779]$ \(y^2=x^3-x^2-341x-1779\) 13530.2.0.? $[(-12, 21)]$
432960.o1 432960.o \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\mathsf{trivial}$ $8.021911913$ $[0, -1, 0, 75999, -57622815]$ \(y^2=x^3-x^2+75999x-57622815\) 18040.2.0.? $[(18051, 2425428)]$
432960.p1 432960.p \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $12.88473448$ $[0, -1, 0, -9681, -363375]$ \(y^2=x^3-x^2-9681x-363375\) 2.3.0.a.1, 20.6.0.c.1, 1804.6.0.?, 9020.12.0.? $[(-56, 3), (923, 27860)]$
432960.p2 432960.p \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $3.221183622$ $[0, -1, 0, -661, -4379]$ \(y^2=x^3-x^2-661x-4379\) 2.3.0.a.1, 10.6.0.a.1, 1804.6.0.?, 9020.12.0.? $[(-15, 44), (-20, 21)]$
432960.q1 432960.q \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\mathsf{trivial}$ $1.324538267$ $[0, -1, 0, 479, -575]$ \(y^2=x^3-x^2+479x-575\) 27060.2.0.? $[(29, 192)]$
432960.r1 432960.r \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\mathsf{trivial}$ $97.24967062$ $[0, -1, 0, -1573048801, -24013304320415]$ \(y^2=x^3-x^2-1573048801x-24013304320415\) 3.4.0.a.1, 24.8.0-3.a.1.1, 1230.8.0.?, 4920.16.0.? $[(7895603067819010819958963842079902554335799/12362504421735352733, 10788014677962199539475635818063050422230221532611590202129494664/12362504421735352733)]$
432960.r2 432960.r \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\mathsf{trivial}$ $32.41655687$ $[0, -1, 0, -19408801, -32975464415]$ \(y^2=x^3-x^2-19408801x-32975464415\) 3.4.0.a.1, 24.8.0-3.a.1.2, 1230.8.0.?, 4920.16.0.? $[(8235145216956039/444923, 742936947754548399316024/444923)]$
432960.s1 432960.s \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\mathsf{trivial}$ $2.874624443$ $[0, -1, 0, -24321, -1501695]$ \(y^2=x^3-x^2-24321x-1501695\) 4920.2.0.? $[(305, 4400)]$
432960.t1 432960.t \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -2911582321, -81495035011055]$ \(y^2=x^3-x^2-2911582321x-81495035011055\) 3.4.0.a.1, 24.8.0-3.a.1.1, 27060.8.0.?, 54120.16.0.? $[ ]$
432960.t2 432960.t \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 281437679, 1346696656945]$ \(y^2=x^3-x^2+281437679x+1346696656945\) 3.4.0.a.1, 24.8.0-3.a.1.2, 27060.8.0.?, 54120.16.0.? $[ ]$
432960.u1 432960.u \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z$ $3.689760063$ $[0, -1, 0, -58561, 5470465]$ \(y^2=x^3-x^2-58561x+5470465\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 132.12.0.?, 264.24.0.?, $\ldots$ $[(159, 392)]$
432960.u2 432960.u \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z$ $3.689760063$ $[0, -1, 0, -37441, -2744159]$ \(y^2=x^3-x^2-37441x-2744159\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 132.12.0.?, 264.24.0.?, $\ldots$ $[(-105, 136)]$
432960.u3 432960.u \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.844880031$ $[0, -1, 0, -4441, 47641]$ \(y^2=x^3-x^2-4441x+47641\) 2.6.0.a.1, 8.12.0-2.a.1.1, 132.12.0.?, 164.12.0.?, 264.24.0.?, $\ldots$ $[(93, 656)]$
432960.u4 432960.u \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z$ $3.689760063$ $[0, -1, 0, 1004, 5170]$ \(y^2=x^3-x^2+1004x+5170\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 164.12.0.?, 264.24.0.?, $\ldots$ $[(11, 132)]$
432960.v1 432960.v \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -191521, 16348321]$ \(y^2=x^3-x^2-191521x+16348321\) 2.3.0.a.1, 66.6.0.a.1, 164.6.0.?, 5412.12.0.? $[ ]$
432960.v2 432960.v \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 648159, 120300705]$ \(y^2=x^3-x^2+648159x+120300705\) 2.3.0.a.1, 132.6.0.?, 164.6.0.?, 5412.12.0.? $[ ]$
432960.w1 432960.w \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $40.25602706$ $[0, -1, 0, -675521, 213340545]$ \(y^2=x^3-x^2-675521x+213340545\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.ba.1.1, 492.12.0.?, $\ldots$ $[(499, 508), (26959/7, 965224/7)]$
432960.w2 432960.w \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $40.25602706$ $[0, -1, 0, -655841, -203536959]$ \(y^2=x^3-x^2-655841x-203536959\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.ba.1.3, 492.12.0.?, $\ldots$ $[(-485, 476), (6325/2, 416507/2)]$
432960.w3 432960.w \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $10.06400676$ $[0, -1, 0, -60521, 181545]$ \(y^2=x^3-x^2-60521x+181545\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.2, 492.12.0.?, $\ldots$ $[(-1, 492), (341, 4368)]$
432960.w4 432960.w \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $10.06400676$ $[0, -1, 0, 15124, 15126]$ \(y^2=x^3-x^2+15124x+15126\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0.h.1, 40.24.0-20.h.1.2, $\ldots$ $[(1475, 56826), (3, 246)]$
432960.x1 432960.x \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $53.59638733$ $[0, -1, 0, -38390401, -91486089599]$ \(y^2=x^3-x^2-38390401x-91486089599\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.f.1.12, 132.12.0.?, $\ldots$ $[(-3505, 984), (1688331/5, 2184150196/5)]$
432960.x2 432960.x \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $13.39909683$ $[0, -1, 0, -2887681, -805042175]$ \(y^2=x^3-x^2-2887681x-805042175\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.9, 132.24.0.?, 264.96.0.?, $\ldots$ $[(-881, 32472), (67425, 17502080)]$
432960.x3 432960.x \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $13.39909683$ $[0, -1, 0, -1493761, 694536961]$ \(y^2=x^3-x^2-1493761x+694536961\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.6, 164.24.0.?, 264.96.0.?, $\ldots$ $[(513, 7936), (600, 3731)]$
432960.x4 432960.x \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $3.349774208$ $[0, -1, 0, -1488641, 699586305]$ \(y^2=x^3-x^2-1488641x+699586305\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.f.2.12, 82.6.0.?, $\ldots$ $[(704, 33), (803, 4620)]$
432960.x5 432960.x \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $13.39909683$ $[0, -1, 0, -181761, 1870876161]$ \(y^2=x^3-x^2-181761x+1870876161\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.5, 164.12.0.?, 328.96.0.?, $\ldots$ $[(-1119, 25920), (22929/7, 14904000/7)]$
432960.x6 432960.x \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $2$ $\Z/2\Z$ $13.39909683$ $[0, -1, 0, 10312319, -6119362175]$ \(y^2=x^3-x^2+10312319x-6119362175\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.1.6, 132.12.0.?, 264.96.0.?, $\ldots$ $[(1313, 98400), (35647200/23, 213070422985/23)]$
432960.y1 432960.y \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z$ $3.148146501$ $[0, -1, 0, -577281, 169014561]$ \(y^2=x^3-x^2-577281x+169014561\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 328.24.0.?, 1320.24.0.?, $\ldots$ $[(455, 584)]$
432960.y2 432960.y \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.574073250$ $[0, -1, 0, -36081, 2649681]$ \(y^2=x^3-x^2-36081x+2649681\) 2.6.0.a.1, 8.12.0-2.a.1.1, 164.12.0.?, 328.24.0.?, 660.12.0.?, $\ldots$ $[(45, 1056)]$
432960.y3 432960.y \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z$ $3.148146501$ $[0, -1, 0, -32801, 3147585]$ \(y^2=x^3-x^2-32801x+3147585\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 164.12.0.?, 328.24.0.?, $\ldots$ $[(183, 1800)]$
432960.y4 432960.y \( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \) $1$ $\Z/2\Z$ $3.148146501$ $[0, -1, 0, -2461, 34045]$ \(y^2=x^3-x^2-2461x+34045\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 328.24.0.?, 330.6.0.?, $\ldots$ $[(9, 112)]$
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