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Results (4 matches)

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Label	Class	Conductor	Discriminant	Rank*	2-Selmer rank	Torsion	$\textrm{End}^0(J_{\overline\Q})$	$\textrm{End}^0(J)$	$\GL_2\textsf{-type}$	Sato-Tate	Nonmaximal primes	$\Q$ -simple	$\overline{\Q}$ -simple	$\Aut(X)$	$\Aut(X_{\overline{\Q}})$	$\Q$ -points	$\Q$ -Weierstrass points	mod- $\ell$ images	Locally solvable	Square Ш*	Analytic Ш*	Tamagawa	Regulator	Real period	Leading coefficient	Igusa-Clebsch invariants	Igusa invariants	G2-invariants	Equation
1083.a.1083.1	1083.a	$3 \cdot 19^{2}$	$- 3 \cdot 19^{2}$	$1$	$1$	$\Z/3\Z$	$\Q \times \Q$	$\Q \times \Q$	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$6$	$0$	2.15.2, 3.720.4	✓	✓	$1$	$1$	$0.075149$	$22.662454$	$0.189229$	$[56,244,928,4332]$	$[28,-8,264,1832,1083]$	$[17210368/1083,-175616/1083,68992/361]$	$y^2 + (x^3 + x^2 + x + 1)y = -x^3$
1083.a.20577.1	1083.a	$3 \cdot 19^{2}$	$3 \cdot 19^{3}$	$1$	$1$	$\Z/3\Z$	$\Q \times \Q$	$\Q \times \Q$	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$4$	$0$	2.15.2, 3.2160.20	✓	✓	$1$	$3$	$0.075149$	$7.554151$	$0.189229$	$[904,13684,4578992,82308]$	$[452,6232,-8664,-10688488,20577]$	$[18866536236032/20577,30289293824/1083,-1634432/19]$	$y^2 + x^3y = x^5 - 5x^4 + 11x^3 - 13x^2 + 9x - 3$
1083.b.87723.1	1083.b	$3 \cdot 19^{2}$	$- 3^{5} \cdot 19^{2}$	$0$	$1$	$\Z/15\Z$	$\Q \times \Q$	$\Q \times \Q$	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$0$	$0$	2.15.2, 3.720.4			$2$	$5$	$1.000000$	$5.981341$	$0.265837$	$[5464,8692,15768656,350892]$	$[2732,309544,46549080,7838649656,87723]$	$[152196082896530432/87723,6311963449851392/87723,1429770125440/361]$	$y^2 + y = -x^6 - 3x^5 - 8x^4 - 11x^3 - 14x^2 - 9x - 6$
1083.b.390963.1	1083.b	$3 \cdot 19^{2}$	$- 3 \cdot 19^{4}$	$0$	$1$	$\mathsf{trivial}$	$\Q \times \Q$	$\Q \times \Q$	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$0$	$0$	2.15.2, 3.720.5			$2$	$1$	$1.000000$	$0.132919$	$0.265837$	$[150440,1945515892,68956865081488,-1563852]$	$[75220,-88500632,98386538568,-107931608328616,-390963]$	$[-2408056349828975363200000/390963,1982406707133537344000/20577,-27053302090985600/19]$	$y^2 + y = -x^6 + 3x^5 - 50x^4 + 95x^3 - 14x^2 - 33x - 6$

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