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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 (29 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
246420.a1 246420.a \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $5.063947827$ $[0, 0, 0, -3108, -100307]$ \(y^2=x^3-3108x-100307\) 6.2.0.a.1 $[(123, 1174)]$
246420.b1 246420.b \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $2$ $\Z/2\Z$ $1.382203352$ $[0, 0, 0, -8103, 194398]$ \(y^2=x^3-8103x+194398\) 2.3.0.a.1, 12.6.0.g.1, 148.6.0.?, 444.12.0.? $[(-1, 450), (111, 814)]$
246420.b2 246420.b \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $2$ $\Z/2\Z$ $1.382203352$ $[0, 0, 0, -3108, -64343]$ \(y^2=x^3-3108x-64343\) 2.3.0.a.1, 12.6.0.g.1, 74.6.0.?, 444.12.0.? $[(-34, 45), (-28, 27)]$
246420.c1 246420.c \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $22.91288477$ $[0, 0, 0, -2703818808, -53836482495132]$ \(y^2=x^3-2703818808x-53836482495132\) 74.2.0.? $[(-34908545635616/34231, 20972213074543296250/34231)]$
246420.d1 246420.d \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $4.900455854$ $[0, 0, 0, 7992, -1330668]$ \(y^2=x^3+7992x-1330668\) 1110.2.0.? $[(481/2, 9361/2)]$
246420.e1 246420.e \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $17.70237874$ $[0, 0, 0, 1215672, 2496382452]$ \(y^2=x^3+1215672x+2496382452\) 1110.2.0.? $[(84450357, 776072393157)]$
246420.f1 246420.f \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $1.058290401$ $[0, 0, 0, 3552, -1211047]$ \(y^2=x^3+3552x-1211047\) 6.2.0.a.1 $[(1024, 32805)]$
246420.g1 246420.g \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -5328, -147852]$ \(y^2=x^3-5328x-147852\) 74.2.0.? $[ ]$
246420.h1 246420.h \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $6.861788502$ $[0, 0, 0, -148114848, 693818251828]$ \(y^2=x^3-148114848x+693818251828\) 3.4.0.a.1, 6.8.0-3.a.1.1, 74.2.0.?, 111.8.0.?, 222.16.0.? $[(1007473/12, 7467895/12)]$
246420.h2 246420.h \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $2.287262834$ $[0, 0, 0, -2234208, 498628132]$ \(y^2=x^3-2234208x+498628132\) 3.4.0.a.1, 6.8.0-3.a.1.2, 74.2.0.?, 111.8.0.?, 222.16.0.? $[(592/3, 506530/3)]$
246420.i1 246420.i \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $0.910092793$ $[0, 0, 0, -4205568, 3327091652]$ \(y^2=x^3-4205568x+3327091652\) 1110.2.0.? $[(1184, 2738)]$
246420.j1 246420.j \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $19.12888230$ $[0, 0, 0, -509268, 139852933]$ \(y^2=x^3-509268x+139852933\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ $[(2032937519/2245, 2794728948228/2245)]$
246420.j2 246420.j \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $9.564441151$ $[0, 0, 0, -447663, 174955462]$ \(y^2=x^3-447663x+174955462\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ $[(-316202/21, 104495770/21)]$
246420.j3 246420.j \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $6.376294100$ $[0, 0, 0, -16428, -557183]$ \(y^2=x^3-16428x-557183\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ $[(33892/3, 6235795/3)]$
246420.j4 246420.j \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $3.188147050$ $[0, 0, 0, 45177, -3748322]$ \(y^2=x^3+45177x-3748322\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ $[(15059, 1848150)]$
246420.k1 246420.k \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $10.83761327$ $[0, 0, 0, -22933488, -80771476412]$ \(y^2=x^3-22933488x-80771476412\) 3.4.0.a.1, 30.8.0-3.a.1.1, 111.8.0.?, 1110.16.0.? $[(798044/5, 703955178/5)]$
246420.k2 246420.k \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $32.51283982$ $[0, 0, 0, 195887472, 1625134845652]$ \(y^2=x^3+195887472x+1625134845652\) 3.4.0.a.1, 30.8.0-3.a.1.2, 111.8.0.?, 1110.16.0.? $[(386445892723229/112895, 8565832505267333620317/112895)]$
246420.l1 246420.l \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $26.82058457$ $[0, 0, 0, 584738232, -48452772418567]$ \(y^2=x^3+584738232x-48452772418567\) 6.2.0.a.1 $[(523243155915544/98779, 11286027949587459609375/98779)]$
246420.m1 246420.m \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $6.208548083$ $[0, 0, 0, -94641708, 354367425593]$ \(y^2=x^3-94641708x+354367425593\) 2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 74.6.0.?, 148.24.0.?, $\ldots$ $[(-4856, 836325)]$
246420.m2 246420.m \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $12.41709616$ $[0, 0, 0, -89651703, 393398246702]$ \(y^2=x^3-89651703x+393398246702\) 2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.2, 148.12.0.?, 296.24.0.?, $\ldots$ $[(-16571069/59, 173335443750/59)]$
246420.n1 246420.n \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $2$ $\mathsf{trivial}$ $3.711003230$ $[0, 0, 0, -4254852, -5080850471]$ \(y^2=x^3-4254852x-5080850471\) 6.2.0.a.1 $[(2738, 61605), (20535, 2926922)]$
246420.o1 246420.o \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $6.902039333$ $[0, 0, 0, -11093007, 9846841894]$ \(y^2=x^3-11093007x+9846841894\) 2.3.0.a.1, 12.6.0.g.1, 148.6.0.?, 444.12.0.? $[(-730, 132498)]$
246420.o2 246420.o \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $13.80407866$ $[0, 0, 0, -4254852, -3259165979]$ \(y^2=x^3-4254852x-3259165979\) 2.3.0.a.1, 12.6.0.g.1, 74.6.0.?, 444.12.0.? $[(-4642855/68, 272832867/68)]$
246420.p1 246420.p \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 10941048, -67402326204]$ \(y^2=x^3+10941048x-67402326204\) 1110.2.0.? $[ ]$
246420.q1 246420.q \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $2$ $\mathsf{trivial}$ $0.377948823$ $[0, 0, 0, 888, 49284]$ \(y^2=x^3+888x+49284\) 1110.2.0.? $[(148, 1850), (0, 222)]$
246420.r1 246420.r \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 4862688, -61343163691]$ \(y^2=x^3+4862688x-61343163691\) 6.2.0.a.1 $[ ]$
246420.s1 246420.s \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $8.829320472$ $[0, 0, 0, -7294032, -7489147356]$ \(y^2=x^3-7294032x-7489147356\) 74.2.0.? $[(5788132/43, 1495783090/43)]$
246420.t1 246420.t \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -558552, -13575004]$ \(y^2=x^3-558552x-13575004\) 74.2.0.? $[ ]$
246420.u1 246420.u \( 2^{2} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 427128, -956562739]$ \(y^2=x^3+427128x-956562739\) 6.2.0.a.1 $[ ]$
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