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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 178 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
456300.a1 456300.a \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $-3$ $5.852940544$ $[0, 0, 0, 0, -250622775]$ \(y^2=x^3-250622775\) $[(1180, 37315)]$
456300.a2 456300.a \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $-3$ $17.55882163$ $[0, 0, 0, 0, 9282325]$ \(y^2=x^3+9282325\) $[(6405409/354, 136125649873/354)]$
456300.b1 456300.b \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $[0, 0, 0, 0, -385573500]$ \(y^2=x^3-385573500\) $[ ]$
456300.b2 456300.b \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $[0, 0, 0, 0, 14280500]$ \(y^2=x^3+14280500\) $[ ]$
456300.c1 456300.c \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $-3$ $0.543014211$ $[0, 0, 0, 0, -1482975]$ \(y^2=x^3-1482975\) $[(390, 7605), (156, 1521)]$
456300.c2 456300.c \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $-3$ $4.887127904$ $[0, 0, 0, 0, 54925]$ \(y^2=x^3+54925\) $[(39, 338), (-39/2, 1859/2)]$
456300.d1 456300.d \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $-3$ $4.185464154$ $[0, 0, 0, 0, -14259375]$ \(y^2=x^3-14259375\) $[(276, 2601)]$
456300.d2 456300.d \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $-3$ $12.55639246$ $[0, 0, 0, 0, 528125]$ \(y^2=x^3+528125\) $[(-111151/46, 60252743/46)]$
456300.e1 456300.e \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2167425, -1253113875]$ \(y^2=x^3-2167425x-1253113875\) 3.4.0.a.1, 30.8.0.b.1, 78.8.0.?, 195.8.0.?, 390.16.0.? $[ ]$
456300.e2 456300.e \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 114075, -7414875]$ \(y^2=x^3+114075x-7414875\) 3.4.0.a.1, 30.8.0.b.1, 78.8.0.?, 195.8.0.?, 390.16.0.? $[ ]$
456300.f1 456300.f \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.929713710$ $[0, 0, 0, 12675, 7964125]$ \(y^2=x^3+12675x+7964125\) 30.2.0.a.1 $[(195, 4225)]$
456300.g1 456300.g \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $2.451342759$ $[0, 0, 0, -164775, 21420750]$ \(y^2=x^3-164775x+21420750\) 12.2.0.a.1 $[(1690, 67600)]$
456300.h1 456300.h \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $29.56804163$ $[0, 0, 0, -6274125, -6858759375]$ \(y^2=x^3-6274125x-6858759375\) 30.2.0.a.1 $[(87329920982824/44015, 814810797349989951043/44015)]$
456300.i1 456300.i \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $[0, 0, 0, 0, -1186380]$ \(y^2=x^3-1186380\) $[ ]$
456300.i2 456300.i \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $[0, 0, 0, 0, 43940]$ \(y^2=x^3+43940\) $[ ]$
456300.j1 456300.j \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $-3$ $8.163921592$ $[0, 0, 0, 0, -11407500]$ \(y^2=x^3-11407500\) $[(2029/3, 6083/3)]$
456300.j2 456300.j \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\Z/3\Z$ $-3$ $2.721307197$ $[0, 0, 0, 0, 422500]$ \(y^2=x^3+422500\) $[(-75, 25)]$
456300.k1 456300.k \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $-3$ $2.770073132$ $[0, 0, 0, 0, -43875]$ \(y^2=x^3-43875\) $[(55, 350)]$
456300.k2 456300.k \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $-3$ $0.923357710$ $[0, 0, 0, 0, 1625]$ \(y^2=x^3+1625\) $[(-10, 25)]$
456300.l1 456300.l \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $[0, 0, 0, 0, -1253113875]$ \(y^2=x^3-1253113875\) $[ ]$
456300.l2 456300.l \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $[0, 0, 0, 0, 46411625]$ \(y^2=x^3+46411625\) $[ ]$
456300.m1 456300.m \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $-3$ $24.09643794$ $[0, 0, 0, 0, -200498220]$ \(y^2=x^3-200498220\) $[(28996523149/695, 4937631655077107/695)]$
456300.m2 456300.m \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $-3$ $8.032145980$ $[0, 0, 0, 0, 7425860]$ \(y^2=x^3+7425860\) $[(-556/5, 340378/5)]$
456300.n1 456300.n \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $5.557406539$ $[0, 0, 0, -697125, 254028125]$ \(y^2=x^3-697125x+254028125\) 30.2.0.a.1 $[(-325, 21125), (425, 5875)]$
456300.o1 456300.o \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $5.823874156$ $[0, 0, 0, -1482975, -578360250]$ \(y^2=x^3-1482975x-578360250\) 12.2.0.a.1 $[(-845, 8450), (-809, 9586)]$
456300.p1 456300.p \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 114075, -215031375]$ \(y^2=x^3+114075x-215031375\) 30.2.0.a.1 $[ ]$
456300.q1 456300.q \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.889365596$ $[0, 0, 0, -240825, 46411625]$ \(y^2=x^3-240825x+46411625\) 3.4.0.a.1, 30.8.0.b.1, 78.8.0.?, 195.8.0.?, 390.16.0.? $[(845, 21125)]$
456300.q2 456300.q \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $2.668096790$ $[0, 0, 0, 12675, 274625]$ \(y^2=x^3+12675x+274625\) 3.4.0.a.1, 30.8.0.b.1, 78.8.0.?, 195.8.0.?, 390.16.0.? $[(520/3, 29575/3)]$
456300.r1 456300.r \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.609045035$ $[0, 0, 0, -780, 8385]$ \(y^2=x^3-780x+8385\) 6.2.0.a.1 $[(16, 1)]$
456300.s1 456300.s \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $47.15332607$ $[0, 0, 0, -29659500, -62173726875]$ \(y^2=x^3-29659500x-62173726875\) 6.2.0.a.1 $[(9170710583943797168449/92933858, 878210768783849632325018094698207/92933858)]$
456300.t1 456300.t \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $28.59858059$ $[0, 0, 0, -11407500, -16498096875]$ \(y^2=x^3-11407500x-16498096875\) 6.2.0.a.1 $[(26911770249481/60506, 120692036189941036379/60506)]$
456300.u1 456300.u \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1825200, -978763500]$ \(y^2=x^3-1825200x-978763500\) 390.2.0.? $[ ]$
456300.v1 456300.v \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $8.619733430$ $[0, 0, 0, -40154400, 97940117925]$ \(y^2=x^3-40154400x+97940117925\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 $[(1310569/14, 983269547/14)]$
456300.w1 456300.w \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.484405319$ $[0, 0, 0, -4461600, -3627411775]$ \(y^2=x^3-4461600x-3627411775\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 $[(5980, 428415)]$
456300.x1 456300.x \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.285306928$ $[0, 0, 0, -202800, 36250500]$ \(y^2=x^3-202800x+36250500\) 390.2.0.? $[(-260, 8450)]$
456300.y1 456300.y \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $3.699876320$ $[0, 0, 0, -1267500, 611040625]$ \(y^2=x^3-1267500x+611040625\) 6.2.0.a.1 $[(624, 7943)]$
456300.z1 456300.z \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $10.88363432$ $[0, 0, 0, -7020, -226395]$ \(y^2=x^3-7020x-226395\) 6.2.0.a.1 $[(230409/2, 110598363/2)]$
456300.ba1 456300.ba \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.069016731$ $[0, 0, 0, -3295500, 2302730625]$ \(y^2=x^3-3295500x+2302730625\) 6.2.0.a.1 $[(4225/2, 4225/2)]$
456300.bb1 456300.bb \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 114075, 22244625]$ \(y^2=x^3+114075x+22244625\) 78.2.0.? $[ ]$
456300.bc1 456300.bc \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -164775, -24276850]$ \(y^2=x^3-164775x-24276850\) 12.2.0.a.1 $[ ]$
456300.bd1 456300.bd \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $5.596836590$ $[0, 0, 0, -219375, 37293750]$ \(y^2=x^3-219375x+37293750\) 12.2.0.a.1 $[(-329, 8594)]$
456300.be1 456300.be \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $7.388104869$ $[0, 0, 0, -167576175, -834959414250]$ \(y^2=x^3-167576175x-834959414250\) 3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.1, 60.16.0-12.b.1.3 $[(80655, 22590450)]$
456300.be2 456300.be \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $22.16431460$ $[0, 0, 0, -2801175, -264189250]$ \(y^2=x^3-2801175x-264189250\) 3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.2, 60.16.0-12.b.1.1 $[(19423892030/1471, 2659127484481850/1471)]$
456300.bf1 456300.bf \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -23385375, -43525316250]$ \(y^2=x^3-23385375x-43525316250\) 3.4.0.a.1, 12.8.0.b.1, 39.8.0-3.a.1.2, 156.16.0.? $[ ]$
456300.bf2 456300.bf \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -570375, 74148750]$ \(y^2=x^3-570375x+74148750\) 3.4.0.a.1, 12.8.0.b.1, 39.8.0-3.a.1.1, 156.16.0.? $[ ]$
456300.bg1 456300.bg \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $12.49162052$ $[0, 0, 0, 570375, -185371875]$ \(y^2=x^3+570375x-185371875\) 30.2.0.a.1 $[(17585425/192, 98906341625/192)]$
456300.bh1 456300.bh \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 63375, 6865625]$ \(y^2=x^3+63375x+6865625\) 30.2.0.a.1 $[ ]$
456300.bi1 456300.bi \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $7.902541857$ $[0, 0, 0, -2598375, 1612048750]$ \(y^2=x^3-2598375x+1612048750\) 3.4.0.a.1, 12.8.0.b.1, 39.8.0-3.a.1.1, 156.16.0.? $[(-1746, 28742)]$
456300.bi2 456300.bi \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $2.634180619$ $[0, 0, 0, -63375, -2746250]$ \(y^2=x^3-63375x-2746250\) 3.4.0.a.1, 12.8.0.b.1, 39.8.0-3.a.1.2, 156.16.0.? $[(-225, 350)]$
456300.bj1 456300.bj \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -25210575, 7133109750]$ \(y^2=x^3-25210575x+7133109750\) 3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.1, 60.16.0-12.b.1.3 $[ ]$
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