## Results (17 matches)

Label Class Conductor Discriminant Rank* Torsion $\textrm{End}^0(J_{\overline\Q})$ Equation
169.a.169.1 169.a $$13^{2}$$ $$- 13^{2}$$ $0$ $\Z/19\Z$ $$\mathrm{M}_2(\Q)$$ $y^2 + (x^3 + x + 1)y = x^5 + x^4$
249.a.249.1 249.a $$3 \cdot 83$$ $$3 \cdot 83$$ $0$ $\Z/14\Z$ $$\Q$$ $y^2 + (x^3 + 1)y = x^2 + x$
277.a.277.1 277.a $$277$$ $$277$$ $0$ $\Z/15\Z$ $$\Q$$ $y^2 + (x^3 + x^2 + x + 1)y = -x^2 - x$
277.a.277.2 277.a $$277$$ $$277$$ $0$ $\Z/5\Z$ $$\Q$$ $y^2 + y = x^5 - 9x^4 + 14x^3 - 19x^2 + 11x - 6$
294.a.294.1 294.a $$2 \cdot 3 \cdot 7^{2}$$ $$- 2 \cdot 3 \cdot 7^{2}$$ $0$ $\Z/12\Z$ $$\Q \times \Q$$ $y^2 + (x^3 + 1)y = x^4 + x^2$
295.a.295.1 295.a $$5 \cdot 59$$ $$- 5 \cdot 59$$ $0$ $\Z/14\Z$ $$\Q$$ $y^2 + (x^3 + 1)y = -x^2$
295.a.295.2 295.a $$5 \cdot 59$$ $$- 5 \cdot 59$$ $0$ $\Z/2\Z$ $$\Q$$ $y^2 + (x^2 + x + 1)y = x^5 - 40x^3 + 22x^2 + 389x - 608$
349.a.349.1 349.a $$349$$ $$349$$ $0$ $\Z/13\Z$ $$\Q$$ $y^2 + (x^3 + x^2 + x + 1)y = -x^3 - x^2$
353.a.353.1 353.a $$353$$ $$-353$$ $0$ $\Z/11\Z$ $$\Q$$ $y^2 + (x^3 + x + 1)y = x^2$
389.a.389.1 389.a $$389$$ $$389$$ $0$ $\Z/10\Z$ $$\Q$$ $y^2 + (x^3 + x)y = x^5 - 2x^4 - 8x^3 + 16x + 7$
389.a.389.2 389.a $$389$$ $$389$$ $0$ $\Z/10\Z$ $$\Q$$ $y^2 + (x + 1)y = x^5 + 2x^4 + 2x^3 + x^2$
394.a.394.1 394.a $$2 \cdot 197$$ $$2 \cdot 197$$ $0$ $\Z/10\Z$ $$\Q$$ $y^2 + (x^3 + x)y = 2x^5 + x^4 - 12x^3 + 17x - 9$
448.a.448.2 448.a $$2^{6} \cdot 7$$ $$- 2^{6} \cdot 7$$ $0$ $\Z/12\Z$ $$\mathsf{CM} \times \Q$$ $y^2 + (x^3 + x)y = -2x^4 + 7$
448.a.448.1 448.a $$2^{6} \cdot 7$$ $$2^{6} \cdot 7$$ $0$ $\Z/6\Z$ $$\mathsf{CM} \times \Q$$ $y^2 + (x^3 + x)y = x^4 - 7$
461.a.461.1 461.a $$461$$ $$461$$ $0$ $\Z/7\Z$ $$\Q$$ $y^2 + x^3y = x^5 - 3x^3 + 3x - 2$
461.a.461.2 461.a $$461$$ $$461$$ $0$ $\mathsf{trivial}$ $$\Q$$ $y^2 + y = x^5 - x^4 - 39x^3 + 10x^2 + 272x - 306$
464.a.464.1 464.a $$2^{4} \cdot 29$$ $$2^{4} \cdot 29$$ $0$ $\Z/8\Z$ $$\Q$$ $y^2 + (x + 1)y = -x^6 - 2x^5 - 2x^4 - x^3$