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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
4008.a1 4008.a \( 2^{3} \cdot 3 \cdot 167 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 160, -2196]$ \(y^2=x^3-x^2+160x-2196\) 1336.2.0.?
4008.b1 4008.b \( 2^{3} \cdot 3 \cdot 167 \) $1$ $\mathsf{trivial}$ $3.426139440$ $[0, 1, 0, -296, -2064]$ \(y^2=x^3+x^2-296x-2064\) 1336.2.0.?
4008.c1 4008.c \( 2^{3} \cdot 3 \cdot 167 \) $1$ $\Z/2\Z$ $2.684207969$ $[0, 1, 0, -328, 1904]$ \(y^2=x^3+x^2-328x+1904\) 2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.?
4008.c2 4008.c \( 2^{3} \cdot 3 \cdot 167 \) $1$ $\Z/2\Z$ $1.342103984$ $[0, 1, 0, 32, 176]$ \(y^2=x^3+x^2+32x+176\) 2.3.0.a.1, 8.6.0.c.1, 334.6.0.?, 1336.12.0.?
4008.d1 4008.d \( 2^{3} \cdot 3 \cdot 167 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -5128, -143008]$ \(y^2=x^3+x^2-5128x-143008\) 2.3.0.a.1, 12.6.0.a.1, 668.6.0.?, 2004.12.0.?
4008.d2 4008.d \( 2^{3} \cdot 3 \cdot 167 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -268, -3040]$ \(y^2=x^3+x^2-268x-3040\) 2.3.0.a.1, 12.6.0.b.1, 334.6.0.?, 2004.12.0.?
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