Elliptic curves over $\Q$ of conductor 28498

Results (4 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
28498.a1	28498a1	28498.a	28498a	$1$	$1$	\( 2 \cdot 14249 \)	\( - 2^{2} \cdot 14249 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$56996$	$2$	$0$	$0.663906286$	$1$		$30$	$8512$	$-0.367279$	$-253636137/56996$	$0.70461$	$1.91853$	$[1, -1, 0, -13, 25]$	\(y^2+xy=x^3-x^2-13x+25\)	56996.2.0.?	$[(2, 1), (0, 5), (4, 3)]$
28498.b1	28498b1	28498.b	28498b	$2$	$2$	\( 2 \cdot 14249 \)	\( 2^{8} \cdot 14249 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.22	2B	$113992$	$48$	$0$	$1$	$1$		$1$	$8800$	$0.165167$	$2739886057657/3647744$	$0.81312$	$2.79198$	$[1, 1, 0, -291, -2035]$	\(y^2+xy=x^3+x^2-291x-2035\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 28498.6.0.?, 56996.24.0.?, $\ldots$	$[]$
28498.b2	28498b2	28498.b	28498b	$2$	$2$	\( 2 \cdot 14249 \)	\( - 2^{4} \cdot 14249^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.37	2B	$113992$	$48$	$0$	$1$	$1$		$0$	$17600$	$0.511741$	$-1046605851577/3248544016$	$0.83539$	$2.87857$	$[1, 1, 0, -211, -3075]$	\(y^2+xy=x^3+x^2-211x-3075\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 56996.12.0.?, 113992.48.0.?	$[]$
28498.c1	28498c1	28498.c	28498c	$1$	$1$	\( 2 \cdot 14249 \)	\( - 2^{27} \cdot 14249 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$113992$	$2$	$0$	$1$	$1$		$0$	$55944$	$1.057913$	$-2980078137942625/1912468406272$	$0.87821$	$3.54634$	$[1, 1, 1, -2998, -93005]$	\(y^2+xy+y=x^3+x^2-2998x-93005\)	113992.2.0.?	$[]$