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Label Class Conductor Rank* Torsion $\textrm{End}^0(J_{\overline\Q})$ Igusa-Clebsch invariants Igusa invariants G2-invariants Equation
400.a.409600.1 400.a \( 2^{4} \cdot 5^{2} \) $0$ $\Z/3\Z\oplus\Z/6\Z$ \(\mathrm{M}_2(\Q)\) $[248,181,14873,50]$ $[992,39072,1945600,100853504,409600]$ $[58632501248/25,2327987904/25,4674304]$ $y^2 = x^6 + 4x^4 + 4x^2 + 1$
1600.b.409600.1 1600.b \( 2^{6} \cdot 5^{2} \) $0$ $\Z/2\Z\oplus\Z/6\Z$ \(\mathrm{M}_2(\Q)\) $[248,181,14873,50]$ $[992,39072,1945600,100853504,409600]$ $[58632501248/25,2327987904/25,4674304]$ $y^2 = x^6 - 4x^4 + 4x^2 - 1$
6400.b.12800.1 6400.b \( 2^{8} \cdot 5^{2} \) $0$ $\Z/6\Z$ \(\mathrm{M}_2(\Q)\) $[248,181,14873,50]$ $[496,9768,243200,6303344,12800]$ $[58632501248/25,2327987904/25,4674304]$ $y^2 + x^3y = 2x^4 + 4x^2 + 2$
6400.d.12800.1 6400.d \( 2^{8} \cdot 5^{2} \) $1$ $\Z/6\Z$ \(\mathrm{M}_2(\Q)\) $[248,181,14873,50]$ $[496,9768,243200,6303344,12800]$ $[58632501248/25,2327987904/25,4674304]$ $y^2 + x^3y = -2x^4 + 4x^2 - 2$
6400.i.409600.1 6400.i \( 2^{8} \cdot 5^{2} \) $0$ $\Z/2\Z$ \(\mathrm{M}_2(\Q)\) $[248,181,14873,50]$ $[992,39072,1945600,100853504,409600]$ $[58632501248/25,2327987904/25,4674304]$ $y^2 = -x^6 - 4x^4 - 4x^2 - 1$
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