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Results (displaying all 50 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
400.a.409600.1 400.a \(y^2 = x^6 + 4x^4 + 4x^2 + 1\) $E_1$ 0
576.a.576.1 576.a \(y^2 + (x^3 + x^2 + x + 1)y = -x^3 - x\) $E_2$ 0
576.b.147456.1 576.b \(y^2 = x^6 + 2x^4 + 2x^2 + 1\) $E_1$ 0
1152.a.147456.1 1152.a \(y^2 = x^6 - 2x^4 + 2x^2 - 1\) $J(E_1)$ 0
1600.b.409600.1 1600.b \(y^2 = x^6 - 4x^4 + 4x^2 - 1\) $J(E_1)$ 0
2304.b.147456.1 2304.b \(y^2 = -x^6 - 2x^4 - 2x^2 - 1\) $E_1$ 0
4096.e.524288.1 4096.e \(y^2 = x^5 - 2x^4 - 2x^2 - x\) $E_4$ 0
4608.a.4608.1 4608.a \(y^2 + x^3y = x^4 + 2x^2 + 2\) $J(E_1)$ 0
4608.b.4608.1 4608.b \(y^2 + x^3y = -x^4 + 2x^2 - 2\) $J(E_1)$ 0
4608.c.27648.1 4608.c \(y^2 = x^5 - x^4 + x^2 - x\) $J(E_4)$ 0
6400.b.12800.1 6400.b \(y^2 + x^3y = 2x^4 + 4x^2 + 2\) $J(E_1)$ 0
6400.d.12800.1 6400.d \(y^2 + x^3y = -2x^4 + 4x^2 - 2\) $J(E_1)$ 1
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
6400.i.409600.1 6400.i \(y^2 = -x^6 - 4x^4 - 4x^2 - 1\) $E_1$ 0
8192.a.32768.1 8192.a \(y^2 = x^5 - 3x^3 + 2x\) $J(E_4)$ 0
8192.b.131072.1 8192.b \(y^2 = x^5 - 3x^4 + 6x^2 - 4x\) $J(E_2)$ 0
9216.a.36864.1 9216.a \(y^2 = x^5 + x^3 + x\) $J(E_1)$ 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
12544.g.175616.1 12544.g \(y^2 + x^3y = x^5 + x^4 - 2x^2 - 4x - 2\) $J(E_4)$ 1
12800.c.128000.1 12800.c \(y^2 = x^5 - 3x^4 + 3x^2 - x\) $J(E_4)$ 0
16384.a.32768.1 16384.a \(y^2 = x^5 + 3x^3 + 2x\) $J(E_4)$ 0
25600.a.102400.1 25600.a \(y^2 = x^5 - 3x^3 + x\) $J(E_1)$ 1
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
36864.b.36864.1 36864.b \(y^2 = x^5 - x^3 + x\) $J(E_1)$ 1
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
73728.c.884736.1 73728.c \(y^2 = x^5 + 5x^3 + 6x\) $J(E_4)$ 1
73728.d.884736.1 73728.d \(y^2 = 2x^5 - 5x^3 + 3x\) $J(E_4)$ 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
102400.b.102400.1 102400.b \(y^2 = x^5 - x^3 - x\) $J(E_2)$ 1
102400.e.102400.1 102400.e \(y^2 = x^5 + 3x^3 + x\) $J(E_1)$ 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
147456.c.884736.1 147456.c \(y^2 = 2x^5 + 5x^3 + 3x\) $J(E_4)$ 0
147456.e.884736.1 147456.e \(y^2 = x^5 - 5x^3 + 6x\) $J(E_4)$ 1
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
262144.a.262144.1 262144.a \(y^2 = x^5 - 2x^3 - x\) $J(E_2)$ 1
262144.b.524288.1 262144.b \(y^2 = x^5 + 2x^3 + 2x\) $J(E_4)$ 1
262144.c.524288.1 262144.c \(y^2 = x^5 - 2x^3 + 2x\) $J(E_4)$ 1
278784.a.557568.1 278784.a \(y^2 + y = 6x^6 - 8x^4 + 4x^2 - 1\) $J(E_1)$ 0
278784.b.557568.1 278784.b \(y^2 + y = -6x^6 - 8x^4 - 4x^2 - 1\) $J(E_1)$ 1
331776.e.995328.1 331776.e \(y^2 = x^5 + 3x^3 + 3x\) $J(E_4)$ 0
331776.g.995328.1 331776.g \(y^2 = x^5 - 3x^3 + 3x\) $J(E_4)$ 1
589824.a.589824.1 589824.a \(y^2 = x^5 - 4x^3 + x\) $J(E_1)$ 0
589824.b.589824.1 589824.b \(y^2 = x^5 + 4x^3 + x\) $J(E_1)$ 2
692224.a.692224.1 692224.a \(y^2 = x^5 - 3x^3 - x\) $J(E_2)$ 0
778752.b.778752.1 778752.b \(y^2 + y = 6x^6 - 10x^4 + 5x^2 - 1\) $J(E_1)$ 2
778752.c.778752.1 778752.c \(y^2 + y = -6x^6 - 10x^4 - 5x^2 - 1\) $J(E_1)$ 2


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