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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 98 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
133560.a1 133560.a \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 32397, -396898]$ \(y^2=x^3+32397x-396898\) 22260.2.0.? $[ ]$
133560.b1 133560.b \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $3.834652223$ $[0, 0, 0, -201123, 34716222]$ \(y^2=x^3-201123x+34716222\) 2.3.0.a.1, 168.6.0.?, 636.6.0.?, 2968.6.0.?, 8904.12.0.? $[(262, 82)]$
133560.b2 133560.b \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $1.917326111$ $[0, 0, 0, -12123, 582822]$ \(y^2=x^3-12123x+582822\) 2.3.0.a.1, 168.6.0.?, 318.6.0.?, 2968.6.0.?, 8904.12.0.? $[(46, 350)]$
133560.c1 133560.c \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -801363, -273836162]$ \(y^2=x^3-801363x-273836162\) 2.3.0.a.1, 28.6.0.a.1, 636.6.0.?, 4452.12.0.? $[ ]$
133560.c2 133560.c \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -13863, -10338662]$ \(y^2=x^3-13863x-10338662\) 2.3.0.a.1, 28.6.0.b.1, 318.6.0.?, 4452.12.0.? $[ ]$
133560.d1 133560.d \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $0.215234750$ $[0, 0, 0, 20652, -1588732]$ \(y^2=x^3+20652x-1588732\) 1590.2.0.? $[(406, 8586)]$
133560.e1 133560.e \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -19683, -1060722]$ \(y^2=x^3-19683x-1060722\) 2.3.0.a.1, 210.6.0.?, 636.6.0.?, 7420.6.0.?, 22260.12.0.? $[ ]$
133560.e2 133560.e \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -783, -28782]$ \(y^2=x^3-783x-28782\) 2.3.0.a.1, 318.6.0.?, 420.6.0.?, 7420.6.0.?, 22260.12.0.? $[ ]$
133560.f1 133560.f \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -9209071443, 340143532027742]$ \(y^2=x^3-9209071443x+340143532027742\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.1, 40.12.0.ba.1, $\ldots$ $[ ]$
133560.f2 133560.f \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -597758943, 4882746990242]$ \(y^2=x^3-597758943x+4882746990242\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 60.24.0-20.a.1.2, $\ldots$ $[ ]$
133560.f3 133560.f \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -158305818, -690661212883]$ \(y^2=x^3-158305818x-690661212883\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.2, 40.12.0.ba.1, $\ldots$ $[ ]$
133560.f4 133560.f \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 982303557, 26320086952742]$ \(y^2=x^3+982303557x+26320086952742\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 56.12.0-4.c.1.5, $\ldots$ $[ ]$
133560.g1 133560.g \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1054443, -418069258]$ \(y^2=x^3-1054443x-418069258\) 212.2.0.? $[ ]$
133560.h1 133560.h \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -663, 1962]$ \(y^2=x^3-663x+1962\) 2.3.0.a.1, 210.6.0.?, 636.6.0.?, 7420.6.0.?, 22260.12.0.? $[ ]$
133560.h2 133560.h \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 2517, 15318]$ \(y^2=x^3+2517x+15318\) 2.3.0.a.1, 318.6.0.?, 420.6.0.?, 7420.6.0.?, 22260.12.0.? $[ ]$
133560.i1 133560.i \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $0.768737205$ $[0, 0, 0, -2523, 56198]$ \(y^2=x^3-2523x+56198\) 22260.2.0.? $[(-29, 324)]$
133560.j1 133560.j \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 1572, 22052]$ \(y^2=x^3+1572x+22052\) 70.2.0.a.1 $[ ]$
133560.k1 133560.k \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $0.560863284$ $[0, 0, 0, -1503, -20638]$ \(y^2=x^3-1503x-20638\) 2.3.0.a.1, 210.6.0.?, 636.6.0.?, 7420.6.0.?, 22260.12.0.? $[(-23, 42)]$
133560.k2 133560.k \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $1.121726568$ $[0, 0, 0, 1677, -96322]$ \(y^2=x^3+1677x-96322\) 2.3.0.a.1, 318.6.0.?, 420.6.0.?, 7420.6.0.?, 22260.12.0.? $[(83, 784)]$
133560.l1 133560.l \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $4.831566517$ $[0, 0, 0, -44523, -2246778]$ \(y^2=x^3-44523x-2246778\) 2.3.0.a.1, 24.6.0.a.1, 424.6.0.?, 636.6.0.?, 1272.12.0.? $[(1546, 60200)]$
133560.l2 133560.l \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $2.415783258$ $[0, 0, 0, 8397, -246402]$ \(y^2=x^3+8397x-246402\) 2.3.0.a.1, 24.6.0.d.1, 318.6.0.?, 424.6.0.?, 1272.12.0.? $[(34, 280)]$
133560.m1 133560.m \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $3.335803395$ $[0, 0, 0, -2754723, 1759766398]$ \(y^2=x^3-2754723x+1759766398\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 2120.24.0.?, $\ldots$ $[(1158, 11074)]$
133560.m2 133560.m \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.667901697$ $[0, 0, 0, -178923, 25222678]$ \(y^2=x^3-178923x+25222678\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 1060.12.0.?, $\ldots$ $[(-1, 5040)]$
133560.m3 133560.m \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $3.335803395$ $[0, 0, 0, -47703, -3619478]$ \(y^2=x^3-47703x-3619478\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ $[(-93, 112)]$
133560.m4 133560.m \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $3.335803395$ $[0, 0, 0, 297357, 136576942]$ \(y^2=x^3+297357x+136576942\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ $[(566, 22050)]$
133560.n1 133560.n \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -56525643, 163502499942]$ \(y^2=x^3-56525643x+163502499942\) 2.3.0.a.1, 28.6.0.c.1, 424.6.0.?, 2968.12.0.? $[ ]$
133560.n2 133560.n \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -2929923, 3454960878]$ \(y^2=x^3-2929923x+3454960878\) 2.3.0.a.1, 14.6.0.b.1, 424.6.0.?, 2968.12.0.? $[ ]$
133560.o1 133560.o \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $5.296641479$ $[0, 0, 0, -12963, -565378]$ \(y^2=x^3-12963x-565378\) 2.3.0.a.1, 280.6.0.?, 636.6.0.?, 44520.12.0.? $[(134, 322)]$
133560.o2 133560.o \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $2.648320739$ $[0, 0, 0, -363, -18538]$ \(y^2=x^3-363x-18538\) 2.3.0.a.1, 280.6.0.?, 318.6.0.?, 44520.12.0.? $[(71, 560)]$
133560.p1 133560.p \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $7.304645204$ $[0, 0, 0, -6914403, -6998099922]$ \(y^2=x^3-6914403x-6998099922\) 2.3.0.a.1, 60.6.0.a.1, 636.6.0.?, 1060.6.0.?, 3180.12.0.? $[(4882, 274960)]$
133560.p2 133560.p \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $3.652322602$ $[0, 0, 0, -431703, -109582902]$ \(y^2=x^3-431703x-109582902\) 2.3.0.a.1, 60.6.0.b.1, 318.6.0.?, 1060.6.0.?, 3180.12.0.? $[(1102, 27440)]$
133560.q1 133560.q \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $8.587571212$ $[0, 0, 0, -7639203, -8126787202]$ \(y^2=x^3-7639203x-8126787202\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ $[(258166/5, 125885214/5)]$
133560.q2 133560.q \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $8.587571212$ $[0, 0, 0, -1419123, 495899822]$ \(y^2=x^3-1419123x+495899822\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ $[(108289/10, 15132663/10)]$
133560.q3 133560.q \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.293785606$ $[0, 0, 0, -484203, -123204202]$ \(y^2=x^3-484203x-123204202\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.b.1.3, 424.12.0.?, $\ldots$ $[(10174, 1023750)]$
133560.q4 133560.q \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $8.587571212$ $[0, 0, 0, 21417, -7821718]$ \(y^2=x^3+21417x-7821718\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.2, 30.6.0.a.1, $\ldots$ $[(40633/4, 8202285/4)]$
133560.r1 133560.r \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $5.943570999$ $[0, 0, 0, -884763, 320323302]$ \(y^2=x^3-884763x+320323302\) 2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.? $[(9913/4, 202195/4)]$
133560.r2 133560.r \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $2.971785499$ $[0, 0, 0, -883683, 321144318]$ \(y^2=x^3-883683x+321144318\) 2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? $[(-26, 18550)]$
133560.s1 133560.s \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $2.274370357$ $[0, 0, 0, 44172, -527641452]$ \(y^2=x^3+44172x-527641452\) 1590.2.0.? $[(1377, 46305)]$
133560.t1 133560.t \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -484923, 67947878]$ \(y^2=x^3-484923x+67947878\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$ $[ ]$
133560.t2 133560.t \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -417423, 103763378]$ \(y^2=x^3-417423x+103763378\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.4, 1484.12.0.?, $\ldots$ $[ ]$
133560.t3 133560.t \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -417378, 103786877]$ \(y^2=x^3-417378x+103786877\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ $[ ]$
133560.t4 133560.t \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -350643, 138074942]$ \(y^2=x^3-350643x+138074942\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ $[ ]$
133560.u1 133560.u \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -18147, -886786]$ \(y^2=x^3-18147x-886786\) 2.3.0.a.1, 60.6.0.c.1, 424.6.0.?, 6360.12.0.? $[ ]$
133560.u2 133560.u \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 933, -58714]$ \(y^2=x^3+933x-58714\) 2.3.0.a.1, 30.6.0.a.1, 424.6.0.?, 6360.12.0.? $[ ]$
133560.v1 133560.v \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1178796387, 14739280309294]$ \(y^2=x^3-1178796387x+14739280309294\) 2.3.0.a.1, 4.12.0-4.c.1.2, 60.24.0-60.h.1.1, 168.24.0.?, 280.24.0.?, $\ldots$ $[ ]$
133560.v2 133560.v \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -1161081687, 15227926137034]$ \(y^2=x^3-1161081687x+15227926137034\) 2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.2, 84.24.0.?, 140.24.0.?, $\ldots$ $[ ]$
133560.v3 133560.v \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/4\Z$ $1$ $[0, 0, 0, -1161080562, 15227957122009]$ \(y^2=x^3-1161080562x+15227957122009\) 2.3.0.a.1, 4.12.0-4.c.1.1, 42.6.0.a.1, 84.24.0.?, 120.24.0.?, $\ldots$ $[ ]$
133560.v4 133560.v \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1143384987, 15714588926374]$ \(y^2=x^3-1143384987x+15714588926374\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ $[ ]$
133560.w1 133560.w \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $5.864818648$ $[0, 0, 0, -331707, -73490506]$ \(y^2=x^3-331707x-73490506\) 2.3.0.a.1, 280.6.0.?, 636.6.0.?, 44520.12.0.? $[(698, 5920)]$
133560.w2 133560.w \( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $2.932409324$ $[0, 0, 0, -16707, -1607506]$ \(y^2=x^3-16707x-1607506\) 2.3.0.a.1, 280.6.0.?, 318.6.0.?, 44520.12.0.? $[(338, 5600)]$
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