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Label Class Conductor Rank* Torsion $\textrm{End}^0(J_{\overline\Q})$ Igusa-Clebsch invariants Igusa invariants G2-invariants Equation
450.a.2700.1 450.a \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/24\Z$ \(\Q \times \Q\) $[364,3529,393211,345600]$ $[91,198,0,-9801,2700]$ $[\frac{6240321451}{2700},\frac{8289281}{150},0]$ $y^2 + (x^3 + 1)y = x^5 + 3x^4 + 3x^3 + 3x^2 + x$
588.a.18816.1 588.a \( 2^{2} \cdot 3 \cdot 7^{2} \) $0$ $\Z/24\Z$ \(\Q \times \Q\) $[748,11545,2902787,2408448]$ $[187,976,-192,-247120,18816]$ $[\frac{228669389707}{18816},\frac{398891383}{1176},-\frac{34969}{98}]$ $y^2 + (x^3 + 1)y = x^5 + x^4 + 5x^2 + 12x + 8$
800.a.409600.1 800.a \( 2^{5} \cdot 5^{2} \) $0$ $\Z/24\Z$ \(\Q \times \Q\) $[120,309,14889,50]$ $[480,6304,-151552,-28121344,409600]$ $[62208000,1702080,-85248]$ $y^2 = x^6 - 2x^2 + 1$
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