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Label Class Conductor Rank* Torsion $\textrm{End}^0(J_{\overline\Q})$ Igusa-Clebsch invariants Igusa invariants G2-invariants Equation
8450.a.8450.1 8450.a \( 2 \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ \(\Q\) $[5688,483444,1033020495,33800]$ $[2844,256440,2121617,-14931898713,8450]$ $[93028916891930112/4225,589894768164096/845,8580175579656/4225]$ $y^2 + (x + 1)y = x^5 + x^4 - 9x^3 - 5x^2 + 21x$
8450.b.67600.1 8450.b \( 2 \cdot 5^{2} \cdot 13^{2} \) $1$ $\Z/8\Z$ \(\Q \times \Q\) $[540,129,595071,8652800]$ $[135,754,-2368,-222049,67600]$ $[1793613375/2704,2854035/104,-107892/169]$ $y^2 + (x^2 + x)y = x^5 + 4x^4 + 5x^3 + 4x^2 + x$
8450.c.84500.1 8450.c \( 2 \cdot 5^{2} \cdot 13^{2} \) $2$ $\Z/6\Z$ \(\Q \times \Q\) $[1972,60889,35769757,10816000]$ $[493,7590,128000,1373975,84500]$ $[29122898485693/84500,90945776163/8450,62220544/169]$ $y^2 + (x^3 + 1)y = -5x^4 + 10x^3 - 5x^2$
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