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Results (24 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
784.a1 784.a \( 2^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.258432387$ $[0, 0, 0, -343, 2401]$ \(y^2=x^3-343x+2401\) 2.2.0.a.1, 4.4.0-2.a.1.1, 14.6.0.a.1, 28.12.0-14.a.1.3
784.b1 784.b \( 2^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $7.014414334$ $[0, 1, 0, -2140728, -1206278060]$ \(y^2=x^3+x^2-2140728x-1206278060\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$
784.b2 784.b \( 2^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $3.507207167$ $[0, 1, 0, -133688, -18913196]$ \(y^2=x^3+x^2-133688x-18913196\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$
784.b3 784.b \( 2^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $2.338138111$ $[0, 1, 0, -27848, -1475468]$ \(y^2=x^3+x^2-27848x-1475468\) 2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 12.72.0-6.a.1.2, $\ldots$
784.b4 784.b \( 2^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.779379370$ $[0, 1, 0, -8248, 285396]$ \(y^2=x^3+x^2-8248x+285396\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$
784.b5 784.b \( 2^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.389689685$ $[0, 1, 0, -408, 6292]$ \(y^2=x^3+x^2-408x+6292\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$
784.b6 784.b \( 2^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.169069055$ $[0, 1, 0, 3512, -133260]$ \(y^2=x^3+x^2+3512x-133260\) 2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.c.1, 12.72.0-6.a.1.4, $\ldots$
784.c1 784.c \( 2^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -800, 8359]$ \(y^2=x^3-x^2-800x+8359\) 2.2.0.a.1, 14.6.0.a.1, 28.12.0-14.a.1.1
784.d1 784.d \( 2^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -6974, 226507]$ \(y^2=x^3-x^2-6974x+226507\) 2.2.0.a.1, 3.4.0.a.1, 4.4.0-2.a.1.1, 6.8.0.a.1, 9.12.0.b.1, $\ldots$
784.d2 784.d \( 2^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -114, 127]$ \(y^2=x^3-x^2-114x+127\) 2.2.0.a.1, 3.4.0.a.1, 4.4.0-2.a.1.1, 6.8.0.a.1, 9.12.0.b.1, $\ldots$
784.e1 784.e \( 2^{4} \cdot 7^{2} \) $0$ $\Z/4\Z$ $1$ $[0, 0, 0, -14651, 682570]$ \(y^2=x^3-14651x+682570\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.8, 56.48.0-56.bp.1.4
784.e2 784.e \( 2^{4} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -2891, -47334]$ \(y^2=x^3-2891x-47334\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 28.12.0-4.c.1.2, 56.48.0-56.v.1.7
784.e3 784.e \( 2^{4} \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -931, 10290]$ \(y^2=x^3-931x+10290\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 28.24.0-28.b.1.2, 56.48.0-56.d.1.4
784.e4 784.e \( 2^{4} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 49, 686]$ \(y^2=x^3+49x+686\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.6, 14.6.0.b.1, 28.24.0-28.g.1.1, $\ldots$
784.f1 784.f \( 2^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $-28$ $6.042134670$ $[0, 0, 0, -29155, -1915998]$ \(y^2=x^3-29155x-1915998\)
784.f2 784.f \( 2^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $-7$ $3.021067335$ $[0, 0, 0, -1715, -33614]$ \(y^2=x^3-1715x-33614\)
784.f3 784.f \( 2^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $-28$ $0.863162095$ $[0, 0, 0, -595, 5586]$ \(y^2=x^3-595x+5586\)
784.f4 784.f \( 2^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $-7$ $0.431581047$ $[0, 0, 0, -35, 98]$ \(y^2=x^3-35x+98\)
784.g1 784.g \( 2^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.656005557$ $[0, 1, 0, -142, -701]$ \(y^2=x^3+x^2-142x-701\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 9.12.0.b.1, 12.16.0.a.1, $\ldots$
784.g2 784.g \( 2^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.552001852$ $[0, 1, 0, -2, -1]$ \(y^2=x^3+x^2-2x-1\) 2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 9.12.0.b.1, 12.16.0.a.2, $\ldots$
784.h1 784.h \( 2^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.004255008$ $[0, 1, 0, -16, -29]$ \(y^2=x^3+x^2-16x-29\) 2.2.0.a.1, 4.4.0-2.a.1.1, 14.6.0.a.1, 28.12.0-14.a.1.3
784.i1 784.i \( 2^{4} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1976, -32752]$ \(y^2=x^3-x^2-1976x-32752\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1
784.i2 784.i \( 2^{4} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -16, -1392]$ \(y^2=x^3-x^2-16x-1392\) 2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1
784.j1 784.j \( 2^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -7, -7]$ \(y^2=x^3-7x-7\) 2.2.0.a.1, 14.6.0.a.1, 28.12.0-14.a.1.1
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