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Results (displaying all 15 matches)

Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
256.a.512.1 256.a \(y^2 + y = 2x^5 - 3x^4 + x^3 + x^2 - x\) $E_4$ 0
576.a.576.1 576.a \(y^2 + (x^3 + x^2 + x + 1)y = -x^3 - x\) $E_2$ 0
4096.b.65536.1 4096.b \(y^2 = x^5 - x\) $J(C_2)$ 0
4096.e.524288.1 4096.e \(y^2 = x^5 - 2x^4 - 2x^2 - x\) $E_4$ 0
6400.f.64000.1 6400.f \(y^2 + x^3y = -2x^4 - 3x^3 + x^2 + 6x + 4\) $E_4$ 2
6400.g.64000.1 6400.g \(y^2 + (x^3 + x^2 + x + 1)y = -x^6 - x^3 - x - 1\) $E_4$ 0
12544.d.25088.1 12544.d \(y^2 + (x^3 + x^2 + x + 1)y = x^4 - x^3 + x^2 - x\) $E_4$ 2
25600.d.128000.1 25600.d \(y^2 = x^5 + x^4 + x^2 - x\) $E_4$ 0
25600.e.128000.1 25600.e \(y^2 = x^5 - x^4 - x^2 - x\) $E_4$ 0
40000.e.200000.1 40000.e \(y^2 + x^3y = x^5 - 5x^3 - 10x^2 - 8x - 2\) $J(C_4)$ 2
69696.c.627264.1 69696.c \(y^2 + (x^3 + x^2 + x + 1)y = x^6 + 3x^4 - x^3 + 3x^2 - x + 1\) $E_2$ 0
78400.a.78400.1 78400.a \(y^2 + (x^3 + x^2 + x + 1)y = -x^6 - 3x^4 - x^3 - 3x^2 - x - 1\) $E_2$ 0
135424.l.270848.1 135424.l \(y^2 + (x^3 + x^2 + x + 1)y = -x^6 - 2x^4 - x^3 - 2x^2 - x - 1\) $E_4$ 0
193600.d.968000.1 193600.d \(y^2 + (x^3 + x^2 + x + 1)y = -x^6 - x^4 - x^3 - x^2 - x - 1\) $E_4$ 0
193600.e.968000.1 193600.e \(y^2 + (x^3 + x^2 + x + 1)y = 2x^4 - x^3 + 2x^2 - x\) $E_4$ 2


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