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Results (36 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
576.a1 576.a \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $-4$ $1$ $[0, 0, 0, -27, 0]$ \(y^2=x^3-27x\)
576.a2 576.a \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $-4$ $1$ $[0, 0, 0, 108, 0]$ \(y^2=x^3+108x\)
576.b1 576.b \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z$ $4.317095458$ $[0, 0, 0, -13836, -626416]$ \(y^2=x^3-13836x-626416\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.r.1.3, 12.12.0-4.c.1.2, 16.96.0-16.l.1.4, $\ldots$
576.b2 576.b \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z$ $0.539636932$ $[0, 0, 0, -2316, 42896]$ \(y^2=x^3-2316x+42896\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.8, 12.12.0.h.1, 16.96.0-16.bb.2.8, $\ldots$
576.b3 576.b \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.158547729$ $[0, 0, 0, -876, -9520]$ \(y^2=x^3-876x-9520\) 2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.e.2.8, 12.24.0-4.b.1.2, 24.192.1-24.bl.2.6
576.b4 576.b \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.079273864$ $[0, 0, 0, -156, 560]$ \(y^2=x^3-156x+560\) 2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.h.1.8, 12.24.0.c.1, 24.192.1-24.bu.1.4
576.b5 576.b \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z$ $0.539636932$ $[0, 0, 0, 24, 56]$ \(y^2=x^3+24x+56\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.48.0-8.ba.1.3, 12.12.0.g.1, $\ldots$
576.b6 576.b \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z$ $1.079273864$ $[0, 0, 0, 564, -37744]$ \(y^2=x^3+564x-37744\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 12.12.0-4.c.1.1, 16.96.0-8.m.1.1, $\ldots$
576.c1 576.c \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z$ $-16$ $1.777251749$ $[0, 0, 0, -396, -3024]$ \(y^2=x^3-396x-3024\)
576.c2 576.c \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z$ $-16$ $0.444312937$ $[0, 0, 0, -396, 3024]$ \(y^2=x^3-396x+3024\)
576.c3 576.c \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $-4$ $0.888625874$ $[0, 0, 0, -36, 0]$ \(y^2=x^3-36x\)
576.c4 576.c \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z$ $-4$ $1.777251749$ $[0, 0, 0, 9, 0]$ \(y^2=x^3+9x\)
576.d1 576.d \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -13836, 626416]$ \(y^2=x^3-13836x+626416\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.r.1.4, 12.12.0-4.c.1.1, 16.96.0-16.l.1.8, $\ldots$
576.d2 576.d \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -2316, -42896]$ \(y^2=x^3-2316x-42896\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.7, 12.12.0.h.1, 16.96.0-16.bb.2.7, $\ldots$
576.d3 576.d \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -876, 9520]$ \(y^2=x^3-876x+9520\) 2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.e.2.7, 12.24.0-4.b.1.2, 24.192.1-24.bl.2.8
576.d4 576.d \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -156, -560]$ \(y^2=x^3-156x-560\) 2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.h.1.4, 12.24.0.c.1, 24.192.1-24.bu.1.6
576.d5 576.d \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 24, -56]$ \(y^2=x^3+24x-56\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.48.0-8.ba.1.4, 12.12.0.g.1, $\ldots$
576.d6 576.d \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 564, 37744]$ \(y^2=x^3+564x+37744\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 12.12.0-4.c.1.2, 16.96.0-8.m.1.3, $\ldots$
576.e1 576.e \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z$ $-12$ $0.979852016$ $[0, 0, 0, -540, -4752]$ \(y^2=x^3-540x-4752\)
576.e2 576.e \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z$ $-12$ $0.326617338$ $[0, 0, 0, -60, 176]$ \(y^2=x^3-60x+176\)
576.e3 576.e \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z$ $-3$ $1.959704032$ $[0, 0, 0, 0, -216]$ \(y^2=x^3-216\)
576.e4 576.e \( 2^{6} \cdot 3^{2} \) $1$ $\Z/2\Z$ $-3$ $0.653234677$ $[0, 0, 0, 0, 8]$ \(y^2=x^3+8\)
576.f1 576.f \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $-12$ $1$ $[0, 0, 0, -540, 4752]$ \(y^2=x^3-540x+4752\)
576.f2 576.f \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $-12$ $1$ $[0, 0, 0, -60, -176]$ \(y^2=x^3-60x-176\)
576.f3 576.f \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $-3$ $1$ $[0, 0, 0, 0, -8]$ \(y^2=x^3-8\)
576.f4 576.f \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $-3$ $1$ $[0, 0, 0, 0, 216]$ \(y^2=x^3+216\)
576.g1 576.g \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1164, -15280]$ \(y^2=x^3-1164x-15280\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.4, 12.12.0-4.c.1.2, 24.48.0-24.bi.1.6
576.g2 576.g \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -84, -160]$ \(y^2=x^3-84x-160\) 2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.b.1.4, 12.24.0-12.a.1.4, 24.48.0-24.f.1.6
576.g3 576.g \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -39, 92]$ \(y^2=x^3-39x+92\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.2, 12.12.0.h.1, 24.48.0-24.bk.1.7
576.g4 576.g \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 276, -1168]$ \(y^2=x^3+276x-1168\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 12.12.0-4.c.1.1, 24.48.0-24.n.1.1
576.h1 576.h \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1164, 15280]$ \(y^2=x^3-1164x+15280\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.2, 12.12.0-4.c.1.1, 24.48.0-24.bi.1.5
576.h2 576.h \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -84, 160]$ \(y^2=x^3-84x+160\) 2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.b.1.4, 12.24.0-12.a.1.4, 24.48.0-24.f.1.7
576.h3 576.h \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -39, -92]$ \(y^2=x^3-39x-92\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.4, 12.12.0.h.1, 24.48.0-24.bk.1.6
576.h4 576.h \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 276, 1168]$ \(y^2=x^3+276x+1168\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 12.12.0-4.c.1.2, 24.48.0-24.n.1.3
576.i1 576.i \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $-4$ $1$ $[0, 0, 0, -3, 0]$ \(y^2=x^3-3x\)
576.i2 576.i \( 2^{6} \cdot 3^{2} \) $0$ $\Z/2\Z$ $-4$ $1$ $[0, 0, 0, 12, 0]$ \(y^2=x^3+12x\)
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