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Label Class Conductor Rank* Torsion $\textrm{End}^0(J_{\overline\Q})$ Igusa-Clebsch invariants Igusa invariants G2-invariants Equation
4489.a.4489.1 4489.a \( 67^{2} \) $2$ $\mathsf{trivial}$ \(\mathsf{RM}\) $[284,1369,127187,-574592]$ $[71,153,187,-2533,-4489]$ $[-1804229351/4489,-54760383/4489,-942667/4489]$ $y^2 + (x^3 + x + 1)y = x^5 - x$
4489.b.4489.1 4489.b \( 67^{2} \) $1$ $\mathsf{trivial}$ \(\Q\) $[228,201,60501,574592]$ $[57,127,-279,-8008,4489]$ $[601692057/4489,23519511/4489,-906471/4489]$ $y^2 + (x^3 + x + 1)y = -x^6 + x^5 - x^4 - x$
4489.c.4489.1 4489.c \( 67^{2} \) $0$ $\Z/11\Z$ \(\mathsf{RM}\) $[45572,66049,996454497,574592]$ $[11393,5405600,3418056180,2430350674685,4489]$ $[191951047694934040193/4489,7993890555954359200/4489,443665226871224820/4489]$ $y^2 + (x^3 + x^2 + 1)y = -x^6 + 7x^4 - 2x^3 - 21x^2 + x + 18$
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