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Label Class Conductor Rank* Torsion $\textrm{End}^0(J_{\overline\Q})$ Igusa-Clebsch invariants Igusa invariants G2-invariants Equation
2304.a.13824.2 2304.a \( 2^{8} \cdot 3^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ \(\Q\) $[186,54,2664,54]$ $[372,5622,115100,2802579,13824]$ $[515324718,83742501/4,27652775/24]$ $y^2 + (x^3 + x^2 + x + 1)y = x^4 + x^3 + 3x^2 + x + 2$
2304.a.13824.1 2304.a \( 2^{8} \cdot 3^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ \(\Q\) $[102,234,7128,54]$ $[204,1110,4324,-87501,13824]$ $[25557426,2726715/4,312409/24]$ $y^2 + y = 2x^5 + 3x^4 - x^3 - 2x^2$
2304.b.147456.1 2304.b \( 2^{8} \cdot 3^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ \(\mathrm{M}_2(\Q)\) $[152,109,5469,18]$ $[608,14240,405504,10942208,147456]$ $[5071050752/9,195344320/9,1016576]$ $y^2 = -x^6 - 2x^4 - 2x^2 - 1$
2304.c.294912.1 2304.c \( 2^{8} \cdot 3^{2} \) $0$ $\Z/4\Z$ \(\Q \times \Q\) $[784,9991,2278962,36]$ $[3136,303200,34578432,4126930688,294912]$ $[9256148959232/9,285369414400/9,1153094656]$ $y^2 + x^3y = 4x^4 + 17x^2 + 8$
2304.d.294912.1 2304.d \( 2^{8} \cdot 3^{2} \) $0$ $\Z/2\Z\oplus\Z/4\Z$ \(\Q \times \Q\) $[784,9991,2278962,36]$ $[3136,303200,34578432,4126930688,294912]$ $[9256148959232/9,285369414400/9,1153094656]$ $y^2 + x^3y = -4x^4 + 17x^2 - 8$
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