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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
5712.a1 5712.a \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -6107232, 5811414144]$ \(y^2=x^3-x^2-6107232x+5811414144\) 3.4.0.a.1, 9.36.0.d.2, 12.8.0-3.a.1.2, 36.72.0-9.d.2.1, 2856.16.0.?, $\ldots$
5712.a2 5712.a \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -15552, 20169216]$ \(y^2=x^3-x^2-15552x+20169216\) 3.12.0.a.1, 9.36.0.a.1, 12.24.0-3.a.1.1, 36.72.0-9.a.1.1, 2856.48.1.?, $\ldots$
5712.a3 5712.a \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 1728, -746496]$ \(y^2=x^3-x^2+1728x-746496\) 3.4.0.a.1, 9.36.0.d.1, 12.8.0-3.a.1.1, 36.72.0-9.d.1.1, 2856.16.0.?, $\ldots$
5712.b1 5712.b \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.667419064$ $[0, -1, 0, -2997, -63639]$ \(y^2=x^3-x^2-2997x-63639\) 3.4.0.a.1, 12.8.0-3.a.1.1, 102.8.0.?, 204.16.0.?
5712.b2 5712.b \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\mathsf{trivial}$ $2.002257193$ $[0, -1, 0, 13323, -265191]$ \(y^2=x^3-x^2+13323x-265191\) 3.4.0.a.1, 12.8.0-3.a.1.2, 102.8.0.?, 204.16.0.?
5712.c1 5712.c \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -677, -7731]$ \(y^2=x^3-x^2-677x-7731\) 102.2.0.?
5712.d1 5712.d \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $2$ $\Z/2\Z$ $0.284789140$ $[0, -1, 0, -344, 2448]$ \(y^2=x^3-x^2-344x+2448\) 2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?
5712.d2 5712.d \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $2$ $\Z/2\Z$ $1.139156563$ $[0, -1, 0, 16, 144]$ \(y^2=x^3-x^2+16x+144\) 2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?
5712.e1 5712.e \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -544, 4624]$ \(y^2=x^3-x^2-544x+4624\) 2.3.0.a.1, 4.12.0-4.c.1.1, 42.6.0.a.1, 84.24.0.?, 136.24.0.?, $\ldots$
5712.e2 5712.e \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -124, -416]$ \(y^2=x^3-x^2-124x-416\) 2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.2, 84.24.0.?, 1428.48.0.?
5712.e3 5712.e \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -119, -462]$ \(y^2=x^3-x^2-119x-462\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 68.12.0-4.c.1.1, 84.12.0.?, $\ldots$
5712.e4 5712.e \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 216, -2592]$ \(y^2=x^3-x^2+216x-2592\) 2.3.0.a.1, 4.12.0-4.c.1.2, 68.24.0-68.h.1.1, 168.24.0.?, 2856.48.0.?
5712.f1 5712.f \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $12.30529263$ $[0, -1, 0, -181367424, -940067661600]$ \(y^2=x^3-x^2-181367424x-940067661600\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 476.12.0.?, 952.48.0.?
5712.f2 5712.f \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/4\Z$ $3.076323158$ $[0, -1, 0, -11364624, -14606337312]$ \(y^2=x^3-x^2-11364624x-14606337312\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 952.48.0.?
5712.f3 5712.f \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.152646317$ $[0, -1, 0, -11335464, -14685722496]$ \(y^2=x^3-x^2-11335464x-14685722496\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 476.24.0.?, 952.48.0.?
5712.f4 5712.f \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $12.30529263$ $[0, -1, 0, -706644, -230527296]$ \(y^2=x^3-x^2-706644x-230527296\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 238.6.0.?, 476.24.0.?, $\ldots$
5712.g1 5712.g \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 119, -17003]$ \(y^2=x^3-x^2+119x-17003\) 102.2.0.?
5712.h1 5712.h \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\mathsf{trivial}$ $1.659495585$ $[0, -1, 0, 679, -159051]$ \(y^2=x^3-x^2+679x-159051\) 102.2.0.?
5712.i1 5712.i \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\mathsf{trivial}$ $1.991403229$ $[0, -1, 0, 315, 1389]$ \(y^2=x^3-x^2+315x+1389\) 102.2.0.?
5712.j1 5712.j \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.230389875$ $[0, -1, 0, 0, 864]$ \(y^2=x^3-x^2+864\) 2856.2.0.?
5712.k1 5712.k \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -57, 180]$ \(y^2=x^3-x^2-57x+180\) 2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?
5712.k2 5712.k \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 28, 588]$ \(y^2=x^3-x^2+28x+588\) 2.3.0.a.1, 68.6.0.a.1, 84.6.0.?, 1428.12.0.?
5712.l1 5712.l \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -268472, -53108208]$ \(y^2=x^3-x^2-268472x-53108208\) 2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?
5712.l2 5712.l \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -6032, -1879920]$ \(y^2=x^3-x^2-6032x-1879920\) 2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?
5712.m1 5712.m \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.685439224$ $[0, -1, 0, -89, 357]$ \(y^2=x^3-x^2-89x+357\) 102.2.0.?
5712.n1 5712.n \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -2460477, -1486414521]$ \(y^2=x^3+x^2-2460477x-1486414521\) 102.2.0.?
5712.o1 5712.o \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/8\Z$ $1$ $[0, 1, 0, -219497664, 1251605773620]$ \(y^2=x^3+x^2-219497664x+1251605773620\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.p.1.2, 272.192.1.?
5712.o2 5712.o \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/4\Z$ $1$ $[0, 1, 0, -13744704, 19474747956]$ \(y^2=x^3+x^2-13744704x+19474747956\) 2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.f.1.5, 136.192.1.?
5712.o3 5712.o \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/4\Z$ $1$ $[0, 1, 0, -4681664, 44782380852]$ \(y^2=x^3+x^2-4681664x+44782380852\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.k.1.2, 16.96.0-16.e.1.2, 136.96.0.?, $\ldots$
5712.o4 5712.o \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -1451584, -169657804]$ \(y^2=x^3+x^2-1451584x-169657804\) 2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.i.1.4, 68.48.0-68.c.1.2, 136.192.1.?
5712.o5 5712.o \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -1123904, -458409420]$ \(y^2=x^3+x^2-1123904x-458409420\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 16.96.0-16.z.1.1, 34.6.0.a.1, $\ldots$
5712.o6 5712.o \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 5598656, -1328717260]$ \(y^2=x^3+x^2+5598656x-1328717260\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 16.96.0-16.z.2.4, 68.24.0-68.h.1.1, $\ldots$
5712.p1 5712.p \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -6104, -185580]$ \(y^2=x^3+x^2-6104x-185580\) 2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?
5712.p2 5712.p \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -344, -3564]$ \(y^2=x^3+x^2-344x-3564\) 2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?
5712.q1 5712.q \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $3.701189461$ $[0, 1, 0, -81264, -8943660]$ \(y^2=x^3+x^2-81264x-8943660\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 476.12.0.?, 952.48.0.?
5712.q2 5712.q \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/4\Z$ $0.925297365$ $[0, 1, 0, -10864, 226772]$ \(y^2=x^3+x^2-10864x+226772\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 952.48.0.?
5712.q3 5712.q \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.850594730$ $[0, 1, 0, -5104, -139564]$ \(y^2=x^3+x^2-5104x-139564\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 476.24.0.?, 952.48.0.?
5712.q4 5712.q \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $3.701189461$ $[0, 1, 0, 16, -6444]$ \(y^2=x^3+x^2+16x-6444\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 238.6.0.?, 476.24.0.?, $\ldots$
5712.r1 5712.r \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -95121, -11323557]$ \(y^2=x^3+x^2-95121x-11323557\) 102.2.0.?
5712.s1 5712.s \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.880999541$ $[0, 1, 0, -233560, 43478036]$ \(y^2=x^3+x^2-233560x+43478036\) 2856.2.0.?
5712.t1 5712.t \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.306932915$ $[0, 1, 0, 35, -73]$ \(y^2=x^3+x^2+35x-73\) 102.2.0.?
5712.u1 5712.u \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -85, 1091]$ \(y^2=x^3+x^2-85x+1091\) 102.2.0.?
5712.v1 5712.v \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.157773312$ $[0, 1, 0, -600, 5652]$ \(y^2=x^3+x^2-600x+5652\) 2856.2.0.?
5712.w1 5712.w \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.358268502$ $[0, 1, 0, 57035, -4723549]$ \(y^2=x^3+x^2+57035x-4723549\) 102.2.0.?
5712.x1 5712.x \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -2192, 38772]$ \(y^2=x^3+x^2-2192x+38772\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0-4.c.1.5, 68.12.0-4.c.1.2, $\ldots$
5712.x2 5712.x \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -992, -12012]$ \(y^2=x^3+x^2-992x-12012\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 28.12.0-4.c.1.2, 136.12.0.?, $\ldots$
5712.x3 5712.x \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -152, 420]$ \(y^2=x^3+x^2-152x+420\) 2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 68.12.0-2.a.1.1, 168.24.0.?, $\ldots$
5712.x4 5712.x \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 28, 60]$ \(y^2=x^3+x^2+28x+60\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 28.12.0-4.c.1.1, 68.12.0-4.c.1.1, $\ldots$
5712.y1 5712.y \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -337, 2270]$ \(y^2=x^3+x^2-337x+2270\) 2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?
5712.y2 5712.y \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -252, 3528]$ \(y^2=x^3+x^2-252x+3528\) 2.3.0.a.1, 68.6.0.a.1, 84.6.0.?, 1428.12.0.?
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