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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
67760.a1 67760.a \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $3.931508146$ $[0, 0, 0, 3872, 282172]$ \(y^2=x^3+3872x+282172\) 70.2.0.a.1 $[(-46, 82)]$
67760.b1 67760.b \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -4494787, -3667951166]$ \(y^2=x^3-4494787x-3667951166\) 56.2.0.b.1 $[ ]$
67760.c1 67760.c \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.550405720$ $[0, 0, 0, -37147, 2755786]$ \(y^2=x^3-37147x+2755786\) 56.2.0.b.1 $[(125, 256)]$
67760.d1 67760.d \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -142336, -20699340]$ \(y^2=x^3+x^2-142336x-20699340\) 2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? $[ ]$
67760.d2 67760.d \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -6816, -479756]$ \(y^2=x^3+x^2-6816x-479756\) 2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? $[ ]$
67760.e1 67760.e \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\Z/2\Z$ $1.038778016$ $[0, 1, 0, -16980, -185000]$ \(y^2=x^3+x^2-16980x-185000\) 2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? $[(183, 1694)]$
67760.e2 67760.e \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\Z/2\Z$ $2.077556033$ $[0, 1, 0, -10325, 397978]$ \(y^2=x^3+x^2-10325x+397978\) 2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? $[(238, 3388)]$
67760.f1 67760.f \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.637636173$ $[0, -1, 0, -1255638336, 17125985729536]$ \(y^2=x^3-x^2-1255638336x+17125985729536\) 3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? $[(16416, 968000)]$
67760.f2 67760.f \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $1.912908520$ $[0, -1, 0, -15359296, 23949777920]$ \(y^2=x^3-x^2-15359296x+23949777920\) 3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? $[(1888, 40960)]$
67760.g1 67760.g \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $8.166388589$ $[0, -1, 0, -79416, -14589584]$ \(y^2=x^3-x^2-79416x-14589584\) 3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? $[(7149/2, 595945/2)]$
67760.g2 67760.g \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $2.722129529$ $[0, -1, 0, 665944, 264473200]$ \(y^2=x^3-x^2+665944x+264473200\) 3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? $[(-523/2, 105875/2)]$
67760.h1 67760.h \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 80304, -18742304]$ \(y^2=x^3-x^2+80304x-18742304\) 56.2.0.b.1 $[ ]$
67760.i1 67760.i \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $2.254451962$ $[0, -1, 0, -6816, -214784]$ \(y^2=x^3-x^2-6816x-214784\) 3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? $[(96, 80)]$
67760.i2 67760.i \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.751483987$ $[0, -1, 0, 12544, -1097600]$ \(y^2=x^3-x^2+12544x-1097600\) 3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? $[(488, 11000)]$
67760.j1 67760.j \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -824776, 289176560]$ \(y^2=x^3-x^2-824776x+289176560\) 3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? $[ ]$
67760.j2 67760.j \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 1517784, 1454834416]$ \(y^2=x^3-x^2+1517784x+1454834416\) 3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? $[ ]$
67760.k1 67760.k \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -254261, -51537539]$ \(y^2=x^3-x^2-254261x-51537539\) 3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.2, 70.2.0.a.1, 132.8.0.?, $\ldots$ $[ ]$
67760.k2 67760.k \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -2581, 56861]$ \(y^2=x^3-x^2-2581x+56861\) 3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.1, 70.2.0.a.1, 132.8.0.?, $\ldots$ $[ ]$
67760.k3 67760.k \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 16779, -148355]$ \(y^2=x^3-x^2+16779x-148355\) 3.12.0.a.1, 63.36.0.b.1, 70.2.0.a.1, 132.24.0.?, 210.24.1.?, $\ldots$ $[ ]$
67760.l1 67760.l \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.151918645$ $[0, -1, 0, 664, 13840]$ \(y^2=x^3-x^2+664x+13840\) 56.2.0.b.1 $[(8, 140)]$
67760.m1 67760.m \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $0.323374643$ $[0, -1, 0, -656, 11200]$ \(y^2=x^3-x^2-656x+11200\) 3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? $[(-24, 112), (18, 70)]$
67760.m2 67760.m \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $2$ $\mathsf{trivial}$ $2.910371791$ $[0, -1, 0, 5504, -200704]$ \(y^2=x^3-x^2+5504x-200704\) 3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? $[(64, 640), (106, 1250)]$
67760.n1 67760.n \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -10377176, -12863233040]$ \(y^2=x^3-x^2-10377176x-12863233040\) 3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? $[ ]$
67760.n2 67760.n \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -126936, -17947664]$ \(y^2=x^3-x^2-126936x-17947664\) 3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? $[ ]$
67760.o1 67760.o \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -637600, -195797248]$ \(y^2=x^3-x^2-637600x-195797248\) 56.2.0.b.1 $[ ]$
67760.p1 67760.p \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.323464767$ $[0, -1, 0, -9280, 349472]$ \(y^2=x^3-x^2-9280x+349472\) 56.2.0.b.1 $[(74, 250)]$
67760.q1 67760.q \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -271080, -157187600]$ \(y^2=x^3-x^2-271080x-157187600\) 3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? $[ ]$
67760.q2 67760.q \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 2390920, 3791090800]$ \(y^2=x^3-x^2+2390920x+3791090800\) 3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? $[ ]$
67760.r1 67760.r \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.100162717$ $[0, -1, 0, -2240, 118912]$ \(y^2=x^3-x^2-2240x+118912\) 3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? $[(24, 280)]$
67760.r2 67760.r \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.300488151$ $[0, -1, 0, 19760, -2855488]$ \(y^2=x^3-x^2+19760x-2855488\) 3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? $[(904, 27440)]$
67760.s1 67760.s \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $7.500223714$ $[0, -1, 0, -97445, -11675783]$ \(y^2=x^3-x^2-97445x-11675783\) 3.4.0.a.1, 70.2.0.a.1, 132.8.0.?, 210.8.0.?, 4620.16.0.? $[(3437, 200606)]$
67760.s2 67760.s \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $2.500074571$ $[0, -1, 0, -645, -30743]$ \(y^2=x^3-x^2-645x-30743\) 3.4.0.a.1, 70.2.0.a.1, 132.8.0.?, 210.8.0.?, 4620.16.0.? $[(49, 230)]$
67760.t1 67760.t \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1122920, -460655600]$ \(y^2=x^3-x^2-1122920x-460655600\) 56.2.0.b.1 $[ ]$
67760.u1 67760.u \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $0.285990361$ $[0, -1, 0, -77149640, 260914735600]$ \(y^2=x^3-x^2-77149640x+260914735600\) 56.2.0.b.1 $[(1170, 415030)]$
67760.v1 67760.v \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\Z/2\Z$ $1.121915198$ $[0, 0, 0, -3443, 60258]$ \(y^2=x^3-3443x+60258\) 2.3.0.a.1, 44.6.0.a.1, 140.6.0.?, 1540.12.0.? $[(11, 154)]$
67760.v2 67760.v \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\Z/2\Z$ $2.243830397$ $[0, 0, 0, -3223, 70422]$ \(y^2=x^3-3223x+70422\) 2.3.0.a.1, 44.6.0.b.1, 140.6.0.?, 770.6.0.?, 1540.12.0.? $[(34, 12)]$
67760.w1 67760.w \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -15385403, -23227966102]$ \(y^2=x^3-15385403x-23227966102\) 2.3.0.a.1, 44.6.0.a.1, 140.6.0.?, 1540.12.0.? $[ ]$
67760.w2 67760.w \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -967483, -358261398]$ \(y^2=x^3-967483x-358261398\) 2.3.0.a.1, 44.6.0.b.1, 140.6.0.?, 770.6.0.?, 1540.12.0.? $[ ]$
67760.x1 67760.x \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -395171843, -3022165163358]$ \(y^2=x^3-395171843x-3022165163358\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 44.12.0-4.c.1.2, 56.24.0.v.1, $\ldots$ $[ ]$
67760.x2 67760.x \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -230021363, 1322813016338]$ \(y^2=x^3-230021363x+1322813016338\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 88.24.0.?, $\ldots$ $[ ]$
67760.x3 67760.x \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -29146843, -29032328358]$ \(y^2=x^3-29146843x-29032328358\) 2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ $[ ]$
67760.x4 67760.x \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 6284377, -3387211322]$ \(y^2=x^3+6284377x-3387211322\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ $[ ]$
67760.y1 67760.y \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -27863, 602338]$ \(y^2=x^3-27863x+602338\) 2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$ $[ ]$
67760.y2 67760.y \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 6512, 72963]$ \(y^2=x^3+6512x+72963\) 2.3.0.a.1, 4.12.0.e.1, 8.24.0.bs.1, 22.6.0.a.1, 44.24.0.e.1, $\ldots$ $[ ]$
67760.z1 67760.z \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1587883, 770145882]$ \(y^2=x^3-1587883x+770145882\) 2.3.0.a.1, 220.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.? $[ ]$
67760.z2 67760.z \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -97163, 12561978]$ \(y^2=x^3-97163x+12561978\) 2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.? $[ ]$
67760.ba1 67760.ba \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\Z/2\Z$ $6.833601080$ $[0, 0, 0, -518243, -143590942]$ \(y^2=x^3-518243x-143590942\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 44.12.0-4.c.1.2, 56.24.0.v.1, $\ldots$ $[(16687/3, 1959958/3)]$
67760.ba2 67760.ba \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\Z/2\Z$ $1.708400270$ $[0, 0, 0, -169763, 25158562]$ \(y^2=x^3-169763x+25158562\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 88.24.0.?, $\ldots$ $[(297, 968)]$
67760.ba3 67760.ba \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.416800540$ $[0, 0, 0, -34243, -1972542]$ \(y^2=x^3-34243x-1972542\) 2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ $[(-129, 546)]$
67760.ba4 67760.ba \( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) $1$ $\Z/2\Z$ $1.708400270$ $[0, 0, 0, 4477, -183678]$ \(y^2=x^3+4477x-183678\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ $[(231, 3630)]$
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