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Label Class Conductor Rank* Torsion $\textrm{End}^0(J_{\overline\Q})$ Igusa-Clebsch invariants Igusa invariants G2-invariants Equation
576.b.147456.1 576.b \( 2^{6} \cdot 3^{2} \) $0$ $\Z/4\Z\oplus\Z/4\Z$ \(\mathrm{M}_2(\Q)\) $[152,109,5469,18]$ $[608,14240,405504,10942208,147456]$ $[5071050752/9,195344320/9,1016576]$ $y^2 = x^6 + 2x^4 + 2x^2 + 1$
1152.a.147456.1 1152.a \( 2^{7} \cdot 3^{2} \) $0$ $\Z/8\Z$ \(\mathrm{M}_2(\Q)\) $[152,109,5469,18]$ $[608,14240,405504,10942208,147456]$ $[5071050752/9,195344320/9,1016576]$ $y^2 = x^6 - 2x^4 + 2x^2 - 1$
2304.b.147456.1 2304.b \( 2^{8} \cdot 3^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ \(\mathrm{M}_2(\Q)\) $[152,109,5469,18]$ $[608,14240,405504,10942208,147456]$ $[5071050752/9,195344320/9,1016576]$ $y^2 = -x^6 - 2x^4 - 2x^2 - 1$
4608.a.4608.1 4608.a \( 2^{9} \cdot 3^{2} \) $0$ $\Z/4\Z$ \(\mathrm{M}_2(\Q)\) $[152,109,5469,18]$ $[304,3560,50688,683888,4608]$ $[5071050752/9,195344320/9,1016576]$ $y^2 + x^3y = x^4 + 2x^2 + 2$
4608.b.4608.1 4608.b \( 2^{9} \cdot 3^{2} \) $0$ $\Z/4\Z$ \(\mathrm{M}_2(\Q)\) $[152,109,5469,18]$ $[304,3560,50688,683888,4608]$ $[5071050752/9,195344320/9,1016576]$ $y^2 + x^3y = -x^4 + 2x^2 - 2$
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