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Label Class Conductor Rank* Torsion $\textrm{End}^0(J_{\overline\Q})$ Igusa-Clebsch invariants Igusa invariants G2-invariants Equation
816.a.13872.1 816.a \( 2^{4} \cdot 3 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/6\Z$ \(\Q\) $[688,9592,2944404,55488]$ $[344,3332,-80164,-9669660,13872]$ $[301073291264/867,498667904/51,-592892944/867]$ $y^2 + (x^3 + x^2)y = -2x^4 + 6x^2 - 8x + 3$
816.a.39168.1 816.a \( 2^{4} \cdot 3 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z\oplus\Z/6\Z$ \(\Q\) $[436,3373,434667,4896]$ $[436,5672,77824,439920,39168]$ $[61544958196/153,1836351122/153,57789184/153]$ $y^2 + (x^2 + 1)y = 3x^5 - 4x^3 - x^2 + x$
816.b.52224.1 816.b \( 2^{4} \cdot 3 \cdot 17 \) $0$ $\Z/6\Z$ \(\Q \times \Q\) $[15964,2380825,11444690699,6528]$ $[15964,9031504,6282991104,4683401370560,52224]$ $[1012531723491160951/51,35882713644370099/51,30660536527816]$ $y^2 + (x^3 + x)y = -x^6 - 12x^4 - 27x^2 - 17$
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