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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 218 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
469440.a1 469440.a \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\mathsf{trivial}$ $1.488196522$ $[0, 0, 0, 6972, -181528]$ \(y^2=x^3+6972x-181528\) 1630.2.0.? $[(157, 2187)]$
469440.b1 469440.b \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\mathsf{trivial}$ $2.139220917$ $[0, 0, 0, -28308, 1835368]$ \(y^2=x^3-28308x+1835368\) 1630.2.0.? $[(101, 81)]$
469440.c1 469440.c \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\mathsf{trivial}$ $1.303882617$ $[0, 0, 0, -588, 12008]$ \(y^2=x^3-588x+12008\) 1630.2.0.? $[(13, 81)]$
469440.d1 469440.d \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 111642, 14138818]$ \(y^2=x^3+111642x+14138818\) 326.2.0.? $[ ]$
469440.e1 469440.e \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $5.892628494$ $[0, 0, 0, -5007468, 4312959568]$ \(y^2=x^3-5007468x+4312959568\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ $[(1461, 10751)]$
469440.e2 469440.e \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.946314247$ $[0, 0, 0, -313068, 67344208]$ \(y^2=x^3-313068x+67344208\) 2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 1956.12.0.?, $\ldots$ $[(-6, 8320)]$
469440.e3 469440.e \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $5.892628494$ $[0, 0, 0, -226668, 105325648]$ \(y^2=x^3-226668x+105325648\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ $[(48, 9724)]$
469440.e4 469440.e \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $1.473157123$ $[0, 0, 0, -25068, 413008]$ \(y^2=x^3-25068x+413008\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 978.6.0.?, $\ldots$ $[(-16, 900)]$
469440.f1 469440.f \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $2$ $\Z/2\Z$ $9.848874220$ $[0, 0, 0, -71388, 2523312]$ \(y^2=x^3-71388x+2523312\) 2.3.0.a.1, 12.6.0.c.1, 652.6.0.?, 978.6.0.?, 1956.12.0.? $[(522, 10368), (-72, 2700)]$
469440.f2 469440.f \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $2$ $\Z/2\Z$ $9.848874220$ $[0, 0, 0, 16632, 305208]$ \(y^2=x^3+16632x+305208\) 2.3.0.a.1, 6.6.0.a.1, 652.6.0.?, 1956.12.0.? $[(9, 675), (18841/7, 2734325/7)]$
469440.g1 469440.g \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 132, -5942]$ \(y^2=x^3+132x-5942\) 326.2.0.? $[ ]$
469440.h1 469440.h \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $4.611544776$ $[0, 0, 0, -17388, 618192]$ \(y^2=x^3-17388x+618192\) 2.3.0.a.1, 60.6.0.a.1, 1956.6.0.?, 3260.6.0.?, 9780.12.0.? $[(172, 1648)]$
469440.h2 469440.h \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $2.305772388$ $[0, 0, 0, -6588, -198288]$ \(y^2=x^3-6588x-198288\) 2.3.0.a.1, 60.6.0.b.1, 978.6.0.?, 3260.6.0.?, 9780.12.0.? $[(-44, 80)]$
469440.i1 469440.i \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $3.993372310$ $[0, 0, 0, -66674028, 209531727952]$ \(y^2=x^3-66674028x+209531727952\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$ $[(-454, 489600)]$
469440.i2 469440.i \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $7.986744620$ $[0, 0, 0, -4466028, 2777219152]$ \(y^2=x^3-4466028x+2777219152\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 652.12.0.?, $\ldots$ $[(81104/5, 18721692/5)]$
469440.i3 469440.i \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $3.993372310$ $[0, 0, 0, -1516908, -682688432]$ \(y^2=x^3-1516908x-682688432\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 978.6.0.?, $\ldots$ $[(-688, 5940)]$
469440.i4 469440.i \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $15.97348924$ $[0, 0, 0, 10556052, 17456795728]$ \(y^2=x^3+10556052x+17456795728\) 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.y.1.2, $\ldots$ $[(116948901/187, 1963567215625/187)]$
469440.j1 469440.j \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $2.269169785$ $[0, 0, 0, -4908, -110032]$ \(y^2=x^3-4908x-110032\) 2.3.0.a.1, 20.6.0.b.1, 978.6.0.?, 9780.12.0.? $[(-44, 144)]$
469440.j2 469440.j \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $4.538339571$ $[0, 0, 0, 9492, -634192]$ \(y^2=x^3+9492x-634192\) 2.3.0.a.1, 20.6.0.a.1, 1956.6.0.?, 9780.12.0.? $[(116, 1424)]$
469440.k1 469440.k \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -8508, -303752]$ \(y^2=x^3-8508x-303752\) 1630.2.0.? $[ ]$
469440.l1 469440.l \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\mathsf{trivial}$ $7.490114916$ $[0, 0, 0, -122988, -16601488]$ \(y^2=x^3-122988x-16601488\) 3912.2.0.? $[(6184/3, 403460/3)]$
469440.m1 469440.m \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\mathsf{trivial}$ $2.444569296$ $[0, 0, 0, 1212, -7288]$ \(y^2=x^3+1212x-7288\) 1630.2.0.? $[(37, 297)]$
469440.n1 469440.n \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\mathsf{trivial}$ $3.334706721$ $[0, 0, 0, -468, 148392]$ \(y^2=x^3-468x+148392\) 1630.2.0.? $[(-3, 387)]$
469440.o1 469440.o \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -472908, -125162768]$ \(y^2=x^3-472908x-125162768\) 2.3.0.a.1, 8.6.0.d.1, 978.6.0.?, 3912.12.0.? $[ ]$
469440.o2 469440.o \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -436908, -145020368]$ \(y^2=x^3-436908x-145020368\) 2.3.0.a.1, 8.6.0.a.1, 1956.6.0.?, 3912.12.0.? $[ ]$
469440.p1 469440.p \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\mathsf{trivial}$ $3.272473291$ $[0, 0, 0, -768, -13408]$ \(y^2=x^3-768x-13408\) 326.2.0.? $[(41, 155)]$
469440.q1 469440.q \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $2.663480912$ $[0, 0, 0, -4428, 26352]$ \(y^2=x^3-4428x+26352\) 2.3.0.a.1, 120.6.0.?, 978.6.0.?, 6520.6.0.?, 19560.12.0.? $[(-26, 352)]$
469440.q2 469440.q \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $5.326961825$ $[0, 0, 0, 17172, 207792]$ \(y^2=x^3+17172x+207792\) 2.3.0.a.1, 120.6.0.?, 1956.6.0.?, 6520.6.0.?, 19560.12.0.? $[(109, 1837)]$
469440.r1 469440.r \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $1.622406080$ $[0, 0, 0, -34668, 2276208]$ \(y^2=x^3-34668x+2276208\) 2.3.0.a.1, 24.6.0.a.1, 1304.6.0.?, 1956.6.0.?, 3912.12.0.? $[(78, 216)]$
469440.r2 469440.r \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $3.244812161$ $[0, 0, 0, -7668, -218592]$ \(y^2=x^3-7668x-218592\) 2.3.0.a.1, 24.6.0.d.1, 978.6.0.?, 1304.6.0.?, 3912.12.0.? $[(-62, 136)]$
469440.s1 469440.s \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -197868, 33779792]$ \(y^2=x^3-197868x+33779792\) 2.3.0.a.1, 40.6.0.b.1, 1956.6.0.?, 19560.12.0.? $[ ]$
469440.s2 469440.s \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -17868, 11792]$ \(y^2=x^3-17868x+11792\) 2.3.0.a.1, 40.6.0.c.1, 978.6.0.?, 19560.12.0.? $[ ]$
469440.t1 469440.t \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $3.774685136$ $[0, 0, 0, -7788, 62192]$ \(y^2=x^3-7788x+62192\) 2.3.0.a.1, 40.6.0.b.1, 1956.6.0.?, 19560.12.0.? $[(8, 20)]$
469440.t2 469440.t \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $1.887342568$ $[0, 0, 0, -5988, 178112]$ \(y^2=x^3-5988x+178112\) 2.3.0.a.1, 40.6.0.c.1, 978.6.0.?, 19560.12.0.? $[(26, 200)]$
469440.u1 469440.u \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -5268, 139808]$ \(y^2=x^3-5268x+139808\) 2.3.0.a.1, 8.6.0.d.1, 978.6.0.?, 3912.12.0.? $[ ]$
469440.u2 469440.u \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 3732, 568208]$ \(y^2=x^3+3732x+568208\) 2.3.0.a.1, 8.6.0.a.1, 1956.6.0.?, 3912.12.0.? $[ ]$
469440.v1 469440.v \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -151308, 20347632]$ \(y^2=x^3-151308x+20347632\) 2.3.0.a.1, 24.6.0.a.1, 1304.6.0.?, 1956.6.0.?, 3912.12.0.? $[ ]$
469440.v2 469440.v \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -146988, 21690288]$ \(y^2=x^3-146988x+21690288\) 2.3.0.a.1, 24.6.0.d.1, 978.6.0.?, 1304.6.0.?, 3912.12.0.? $[ ]$
469440.w1 469440.w \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $22.42525879$ $[0, 0, 0, -4805868, -4055119792]$ \(y^2=x^3-4805868x-4055119792\) 2.3.0.a.1, 40.6.0.b.1, 1956.6.0.?, 19560.12.0.? $[(-52299483019/6431, 33226983528289/6431)]$
469440.w2 469440.w \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\Z/2\Z$ $11.21262939$ $[0, 0, 0, -305868, -60919792]$ \(y^2=x^3-305868x-60919792\) 2.3.0.a.1, 40.6.0.c.1, 978.6.0.?, 19560.12.0.? $[(-1214774/59, 374286816/59)]$
469440.x1 469440.x \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $2$ $\mathsf{trivial}$ $7.827398611$ $[0, 0, 0, 473172, -139099952]$ \(y^2=x^3+473172x-139099952\) 3912.2.0.? $[(2924, 162000), (1424, 58500)]$
469440.y1 469440.y \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $2$ $\mathsf{trivial}$ $2.190343108$ $[0, 0, 0, -4908, 150768]$ \(y^2=x^3-4908x+150768\) 3912.2.0.? $[(69, 375), (-56, 500)]$
469440.z1 469440.z \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -17868, -1678192]$ \(y^2=x^3-17868x-1678192\) 3912.2.0.? $[ ]$
469440.ba1 469440.ba \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2996508, -1997283832]$ \(y^2=x^3-2996508x-1997283832\) 1630.2.0.? $[ ]$
469440.bb1 469440.bb \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -396228, 96392648]$ \(y^2=x^3-396228x+96392648\) 3.4.0.a.1, 24.8.0-3.a.1.2, 1630.2.0.?, 4890.8.0.?, 19560.16.0.? $[ ]$
469440.bb2 469440.bb \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 12012, 701192]$ \(y^2=x^3+12012x+701192\) 3.4.0.a.1, 24.8.0-3.a.1.1, 1630.2.0.?, 4890.8.0.?, 19560.16.0.? $[ ]$
469440.bc1 469440.bc \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -11748, -499448]$ \(y^2=x^3-11748x-499448\) 1630.2.0.? $[ ]$
469440.bd1 469440.bd \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 132, -3512]$ \(y^2=x^3+132x-3512\) 1630.2.0.? $[ ]$
469440.be1 469440.be \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 957181812, 1631767771888]$ \(y^2=x^3+957181812x+1631767771888\) 3912.2.0.? $[ ]$
469440.bf1 469440.bf \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 163 \) $1$ $\mathsf{trivial}$ $3.084315477$ $[0, 0, 0, 8532, -73008]$ \(y^2=x^3+8532x-73008\) 3912.2.0.? $[(16, 260)]$
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