Elliptic curves over Q\Q of conductor 448844

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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
448844.a1	448844a1	448844.a	448844a	$1$	$1$	$2^{2} \cdot 11 \cdot 101^{2}$	$- 2^{4} \cdot 11 \cdot 101^{4}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$1$	$1$		$0$	$1852524$	$1.209341$	$-4512595968/11$	$1.01587$	$3.33962$	$[0, 0, 0, -40804, -3172511]$	$y^2=x^3-40804x-3172511$	22.2.0.a.1	$[]$
448844.b1	448844b2	448844.b	448844b	$2$	$3$	$2^{2} \cdot 11 \cdot 101^{2}$	$- 2^{8} \cdot 11^{3} \cdot 101^{6}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$6666$	$16$	$0$	$2.823328188$	$1$		$2$	$6048000$	$2.204571$	$-199794688/1331$	$0.99506$	$4.02324$	$[0, -1, 0, -788877, -270973319]$	$y^2=x^3-x^2-788877x-270973319$	3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 303.8.0.?, 6666.16.0.?	$[(3771, 224422)]$
448844.b2	448844b1	448844.b	448844b	$2$	$3$	$2^{2} \cdot 11 \cdot 101^{2}$	$- 2^{8} \cdot 11 \cdot 101^{6}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$6666$	$16$	$0$	$8.469984566$	$1$		$0$	$2016000$	$1.655266$	$8192/11$	$0.84294$	$3.26750$	$[0, -1, 0, 27203, -1993351]$	$y^2=x^3-x^2+27203x-1993351$	3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 303.8.0.?, 6666.16.0.?	$[(387184/31, 256626557/31)]$
448844.c1	448844c1	448844.c	448844c	$1$	$1$	$2^{2} \cdot 11 \cdot 101^{2}$	$- 2^{8} \cdot 11 \cdot 101^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$6.688165778$	$1$		$2$	$10260792$	$2.546551$	$-827392/11$	$0.70037$	$4.31174$	$[0, -1, 0, -2747469, 1773796729]$	$y^2=x^3-x^2-2747469x+1773796729$	22.2.0.a.1	$[(-653, 57350)]$
448844.d1	448844d1	448844.d	448844d	$1$	$1$	$2^{2} \cdot 11 \cdot 101^{2}$	$- 2^{8} \cdot 11 \cdot 101^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$5.505543182$	$1$		$0$	$101592$	$0.238992$	$-827392/11$	$0.70037$	$2.18405$	$[0, 1, 0, -269, 1631]$	$y^2=x^3+x^2-269x+1631$	22.2.0.a.1	$[(-158/3, 955/3)]$
448844.e1	448844e1	448844.e	448844e	$1$	$1$	$2^{2} \cdot 11 \cdot 101^{2}$	$- 2^{8} \cdot 11 \cdot 101^{8}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$5.754486913$	$1$		$0$	$13219200$	$2.495274$	$-1952382976/112211$	$0.82898$	$4.20479$	$[0, 1, 0, -1686565, 883359751]$	$y^2=x^3+x^2-1686565x+883359751$	22.2.0.a.1	$[(81985/9, 10670246/9)]$
448844.f1	448844f1	448844.f	448844f	$1$	$1$	$2^{2} \cdot 11 \cdot 101^{2}$	$- 2^{4} \cdot 11 \cdot 101^{10}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$1$	$361$	$19$	$0$	$187104924$	$3.516903$	$-4512595968/11$	$1.01587$	$5.46731$	$[0, 0, 0, -416241604, -3268641255811]$	$y^2=x^3-416241604x-3268641255811$	22.2.0.a.1	$[]$

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