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Label Class Conductor Rank* Torsion $\textrm{End}^0(J_{\overline\Q})$ Igusa-Clebsch invariants Igusa invariants G2-invariants Equation
847.a.847.1 847.a \( 7 \cdot 11^{2} \) $1$ $\Z/5\Z$ \(\Q \times \Q\) $[120,276,6864,3388]$ $[60,104,504,4856,847]$ $[777600000/847,22464000/847,259200/121]$ $y^2 + (x^3 + x^2 + x + 1)y = x^4 + x^3 + x^2$
847.b.9317.1 847.b \( 7 \cdot 11^{2} \) $0$ $\Z/10\Z$ \(\Q \times \Q\) $[304,5932,452465,-37268]$ $[152,-26,-401,-15407,-9317]$ $[-81136812032/9317,91307008/9317,9264704/9317]$ $y^2 + (x^2 + 1)y = x^5 + 2x^4 - 3x^3 + 2x^2 - x$
847.c.9317.1 847.c \( 7 \cdot 11^{2} \) $0$ $\Z/8\Z$ \(\Q\) $[424,3520,581427,37268]$ $[212,1286,-7999,-837396,9317]$ $[428232184832/9317,12253172608/9317,-359507056/9317]$ $y^2 + (x^3 + x^2)y = x^4 + x^3 - x - 2$
847.d.847.1 847.d \( 7 \cdot 11^{2} \) $0$ $\Z/3\Z$ \(\Q \times \Q\) $[80408,402403732,8094753026048,3388]$ $[40204,281112,1967560,19956424,847]$ $[105037970421355597057024/847,18267839107785466368/847,454326923025280/121]$ $y^2 + (x^3 + x^2 + x + 1)y = -12x^6 - 15x^5 + 9x^4 + 31x^3 + 9x^2 - 15x - 12$
847.d.456533.1 847.d \( 7 \cdot 11^{2} \) $0$ $\Z/15\Z$ \(\Q \times \Q\) $[90952,10132,303847072,1826132]$ $[45476,86167752,217689875480,618695823148744,456533]$ $[194496275421254111077376/456533,736713878289412204032/41503,10847340081772160/11]$ $y^2 + y = -x^6 - 9x^5 - 22x^4 + 3x^3 + 37x^2 - 24x + 4$
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