The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Refine search


Results (1-50 of 224 matches)

Next   displayed columns for results
Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
313600.a1 313600.a \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.478157570$ $[0, 0, 0, -12250, -1715000]$ \(y^2=x^3-12250x-1715000\) 8.2.0.a.1 $[(175, 1225)]$
313600.b1 313600.b \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -49000, 13720000]$ \(y^2=x^3-49000x+13720000\) 8.2.0.a.1 $[ ]$
313600.c1 313600.c \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1960, -109760]$ \(y^2=x^3-1960x-109760\) 8.2.0.a.1 $[ ]$
313600.d1 313600.d \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.309881961$ $[0, 0, 0, -490, 13720]$ \(y^2=x^3-490x+13720\) 8.2.0.a.1 $[(14, 98)]$
313600.e1 313600.e \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $2$ $\Z/2\Z$ $-8$ $3.669426313$ $[0, 1, 0, -16333, 705963]$ \(y^2=x^3+x^2-16333x+705963\) $[(37, 392), (-131, 784)]$
313600.e2 313600.e \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $2$ $\Z/2\Z$ $-8$ $3.669426313$ $[0, 1, 0, -4083, -90287]$ \(y^2=x^3+x^2-4083x-90287\) $[(-33, 98), (79, 294)]$
313600.f1 313600.f \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $9.160366947$ $[0, 1, 0, -2721133, 5397252363]$ \(y^2=x^3+x^2-2721133x+5397252363\) 40.2.0.a.1 $[(2437/7, 24881200/7)]$
313600.g1 313600.g \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $17.21136949$ $[0, 1, 0, -680283, -674996687]$ \(y^2=x^3+x^2-680283x-674996687\) 40.2.0.a.1 $[(1453, 37500), (1368, 30925)]$
313600.h1 313600.h \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $3.098569250$ $[0, 1, 0, -1116383, -454364387]$ \(y^2=x^3+x^2-1116383x-454364387\) 2.3.0.a.1, 40.6.0.d.1, 56.6.0.a.1, 140.6.0.?, 280.12.0.? $[(-612, 125)]$
313600.h2 313600.h \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $6.197138501$ $[0, 1, 0, -1055133, -506365637]$ \(y^2=x^3+x^2-1055133x-506365637\) 2.3.0.a.1, 40.6.0.a.1, 56.6.0.d.1, 140.6.0.?, 280.12.0.? $[(1838, 61375)]$
313600.i1 313600.i \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -173133, 12544363]$ \(y^2=x^3+x^2-173133x+12544363\) 2.3.0.a.1, 8.6.0.c.1, 28.6.0.e.1, 56.12.0.o.1 $[ ]$
313600.i2 313600.i \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -87383, -9836387]$ \(y^2=x^3+x^2-87383x-9836387\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.e.1, 56.12.0.l.1 $[ ]$
313600.j1 313600.j \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $2.846041807$ $[0, 1, 0, -349533, 78341563]$ \(y^2=x^3+x^2-349533x+78341563\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.e.1, 56.12.0.l.1 $[(429, 2744)]$
313600.j2 313600.j \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.423020903$ $[0, 1, 0, -43283, -1589687]$ \(y^2=x^3+x^2-43283x-1589687\) 2.3.0.a.1, 8.6.0.c.1, 28.6.0.e.1, 56.12.0.o.1 $[(-152, 1225)]$
313600.k1 313600.k \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -4465533, 3630449563]$ \(y^2=x^3+x^2-4465533x+3630449563\) 2.3.0.a.1, 40.6.0.d.1, 56.6.0.a.1, 140.6.0.?, 280.12.0.? $[ ]$
313600.k2 313600.k \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -263783, 63163813]$ \(y^2=x^3+x^2-263783x+63163813\) 2.3.0.a.1, 40.6.0.a.1, 56.6.0.d.1, 140.6.0.?, 280.12.0.? $[ ]$
313600.l1 313600.l \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $3.339463950$ $[0, 1, 0, -173133, 20776363]$ \(y^2=x^3+x^2-173133x+20776363\) 2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 56.24.1.l.1, 80.24.0.?, $\ldots$ $[(333, 400)]$
313600.l2 313600.l \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.669731975$ $[0, 1, 0, -160883, 24782113]$ \(y^2=x^3+x^2-160883x+24782113\) 2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 56.24.1.l.1, 80.24.0.?, $\ldots$ $[(177, 1372)]$
313600.m1 313600.m \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $1.730137775$ $[0, 1, 0, -23, 13]$ \(y^2=x^3+x^2-23x+13\) 8.2.0.b.1 $[(-1, 6), (-3, 8)]$
313600.n1 313600.n \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $4.487401894$ $[0, 1, 0, -28583, -898787]$ \(y^2=x^3+x^2-28583x-898787\) 8.2.0.b.1 $[(-33, 98), (-131, 784)]$
313600.o1 313600.o \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.201259400$ $[0, 1, 0, -93, -197]$ \(y^2=x^3+x^2-93x-197\) 8.2.0.b.1 $[(-3, 8)]$
313600.p1 313600.p \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $2.784263725$ $[0, 1, 0, -114333, 7075963]$ \(y^2=x^3+x^2-114333x+7075963\) 8.2.0.b.1 $[(-67, 3800)]$
313600.q1 313600.q \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $6.232188566$ $[0, 1, 0, -643533, -198900437]$ \(y^2=x^3+x^2-643533x-198900437\) 2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 56.24.1.l.1, 80.24.0.?, $\ldots$ $[(6733, 548400)]$
313600.q2 313600.q \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $3.116094283$ $[0, 1, 0, -43283, -2618687]$ \(y^2=x^3+x^2-43283x-2618687\) 2.3.0.a.1, 4.6.0.d.1, 8.12.0.i.1, 56.24.1.l.1, 80.24.0.?, $\ldots$ $[(-643/2, 3675/2)]$
313600.r1 313600.r \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $2.370637625$ $[0, 1, 0, 117, 2113]$ \(y^2=x^3+x^2+117x+2113\) 40.2.0.a.1 $[(3, 50), (53, 400)]$
313600.s1 313600.s \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.215886038$ $[0, 1, 0, 467, -16437]$ \(y^2=x^3+x^2+467x-16437\) 40.2.0.a.1 $[(53, 400)]$
313600.t1 313600.t \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -6523533, 4735595563]$ \(y^2=x^3+x^2-6523533x+4735595563\) 2.3.0.a.1, 8.6.0.c.1, 28.6.0.e.1, 56.12.0.o.1 $[ ]$
313600.t2 313600.t \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -2321783, -1302319187]$ \(y^2=x^3+x^2-2321783x-1302319187\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.e.1, 56.12.0.l.1 $[ ]$
313600.u1 313600.u \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -94733, -11210837]$ \(y^2=x^3+x^2-94733x-11210837\) 2.3.0.a.1, 8.6.0.c.1, 28.6.0.e.1, 56.12.0.o.1 $[ ]$
313600.u2 313600.u \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -8983, 22413]$ \(y^2=x^3+x^2-8983x+22413\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.e.1, 56.12.0.l.1 $[ ]$
313600.v1 313600.v \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $3.922000098$ $[0, 1, 0, -35933, -215237]$ \(y^2=x^3+x^2-35933x-215237\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.e.1, 56.12.0.l.1 $[(-162, 1175)]$
313600.v2 313600.v \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.961000049$ $[0, 1, 0, -23683, 1389513]$ \(y^2=x^3+x^2-23683x+1389513\) 2.3.0.a.1, 8.6.0.c.1, 28.6.0.e.1, 56.12.0.o.1 $[(83, 50)]$
313600.w1 313600.w \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $7.978340891$ $[0, 1, 0, -9287133, 10409266363]$ \(y^2=x^3+x^2-9287133x+10409266363\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.e.1, 56.12.0.l.1 $[(60789/5, 5875688/5)]$
313600.w2 313600.w \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $3.989170445$ $[0, 1, 0, -1630883, -592764887]$ \(y^2=x^3+x^2-1630883x-592764887\) 2.3.0.a.1, 8.6.0.c.1, 28.6.0.e.1, 56.12.0.o.1 $[(10803, 1114750)]$
313600.x1 313600.x \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 22867, -5683637]$ \(y^2=x^3+x^2+22867x-5683637\) 40.2.0.a.1 $[ ]$
313600.y1 313600.y \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.531153695$ $[0, 1, 0, 5717, 713313]$ \(y^2=x^3+x^2+5717x+713313\) 40.2.0.a.1 $[(163, 2450)]$
313600.z1 313600.z \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -4573, -58437]$ \(y^2=x^3+x^2-4573x-58437\) 8.2.0.b.1 $[ ]$
313600.ba1 313600.ba \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -2333, 19963]$ \(y^2=x^3+x^2-2333x+19963\) 8.2.0.b.1 $[ ]$
313600.bb1 313600.bb \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.006100672$ $[0, 1, 0, -1143, 6733]$ \(y^2=x^3+x^2-1143x+6733\) 8.2.0.b.1 $[(-33, 98)]$
313600.bc1 313600.bc \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.797153563$ $[0, 1, 0, -583, -2787]$ \(y^2=x^3+x^2-583x-2787\) 8.2.0.b.1 $[(-17, 50)]$
313600.bd1 313600.bd \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.798226948$ $[0, 1, 0, -18783, -781187]$ \(y^2=x^3+x^2-18783x-781187\) 2.3.0.a.1, 40.6.0.d.1, 56.6.0.a.1, 140.6.0.?, 280.12.0.? $[(268, 3675)]$
313600.bd2 313600.bd \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $3.596453896$ $[0, 1, 0, 42467, -4762437]$ \(y^2=x^3+x^2+42467x-4762437\) 2.3.0.a.1, 40.6.0.a.1, 56.6.0.d.1, 140.6.0.?, 280.12.0.? $[(597, 15288)]$
313600.be1 313600.be \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -75133, 6174363]$ \(y^2=x^3+x^2-75133x+6174363\) 2.3.0.a.1, 40.6.0.d.1, 56.6.0.a.1, 140.6.0.?, 280.12.0.? $[ ]$
313600.be2 313600.be \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 10617, 600613]$ \(y^2=x^3+x^2+10617x+600613\) 2.3.0.a.1, 40.6.0.a.1, 56.6.0.d.1, 140.6.0.?, 280.12.0.? $[ ]$
313600.bf1 313600.bf \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $2.289742292$ $[0, 1, 0, -13883, -1971887]$ \(y^2=x^3+x^2-13883x-1971887\) 40.2.0.a.1 $[(163, 350)]$
313600.bg1 313600.bg \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -55533, 15719563]$ \(y^2=x^3+x^2-55533x+15719563\) 40.2.0.a.1 $[ ]$
313600.bh1 313600.bh \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -3103, -65533]$ \(y^2=x^3-x^2-3103x-65533\) 5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.1, 40.24.1.cb.1, 560.48.1.? $[ ]$
313600.bh2 313600.bh \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 20417, 310787]$ \(y^2=x^3-x^2+20417x+310787\) 5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.2, 40.24.1.cb.2, 560.48.1.? $[ ]$
313600.bi1 313600.bi \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -2351183, -1386859613]$ \(y^2=x^3-x^2-2351183x-1386859613\) 5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.2, 40.24.1.cb.2, 560.48.1.? $[ ]$
313600.bi2 313600.bi \( 2^{8} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -77583, -3922433213]$ \(y^2=x^3-x^2-77583x-3922433213\) 5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.1, 40.24.1.cb.1, 560.48.1.? $[ ]$
Next   displayed columns for results