Elliptic curve search results

Results (8 matches)

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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
50050.bc1	50050bd1	50050.bc	50050bd	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{11} \cdot 5^{8} \cdot 7^{3} \cdot 11^{5} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8008$	$2$	$0$	$0.777701421$	$1$		$2$	$792000$	$2.095154$	$1669760225634695/1470722885632$	$0.91757$	$4.42916$	$[1, 1, 0, 180675, 21432125]$	\(y^2+xy=x^3+x^2+180675x+21432125\)	8008.2.0.?	$[(935, 31295)]$
50050.bi1	50050bo1	50050.bi	50050bo	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{11} \cdot 5^{2} \cdot 7^{3} \cdot 11^{5} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8008$	$2$	$0$	$0.276325367$	$1$		$8$	$158400$	$1.290436$	$1669760225634695/1470722885632$	$0.91757$	$3.53675$	$[1, 0, 0, 7227, 171457]$	\(y^2+xy=x^3+7227x+171457\)	8008.2.0.?	$[(66, 935)]$
350350.t1	350350t1	350350.t	350350t	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{11} \cdot 5^{8} \cdot 7^{9} \cdot 11^{5} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8008$	$2$	$0$	$1$	$1$		$0$	$38016000$	$3.068108$	$1669760225634695/1470722885632$	$0.91757$	$4.66859$	$[1, 0, 1, 8853049, -7324659702]$	\(y^2+xy+y=x^3+8853049x-7324659702\)	8008.2.0.?	$[ ]$
350350.gv1	350350gv1	350350.gv	350350gv	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{11} \cdot 5^{2} \cdot 7^{9} \cdot 11^{5} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8008$	$2$	$0$	$1.292954251$	$1$		$2$	$7603200$	$2.263390$	$1669760225634695/1470722885632$	$0.91757$	$3.91220$	$[1, 1, 1, 354122, -58455629]$	\(y^2+xy+y=x^3+x^2+354122x-58455629\)	8008.2.0.?	$[(769, 25487)]$
400400.l1	400400l1	400400.l	400400l	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{23} \cdot 5^{8} \cdot 7^{3} \cdot 11^{5} \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8008$	$2$	$0$	$10.48806243$	$1$		$6$	$19008000$	$2.788300$	$1669760225634695/1470722885632$	$0.91757$	$4.35998$	$[0, 1, 0, 2890792, -1365874412]$	\(y^2=x^3+x^2+2890792x-1365874412\)	8008.2.0.?	$[(1558, 83200), (534, 18176)]$
400400.fg1	400400fg1	400400.fg	400400fg	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{23} \cdot 5^{2} \cdot 7^{3} \cdot 11^{5} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8008$	$2$	$0$	$12.62497238$	$1$		$0$	$3801600$	$1.983582$	$1669760225634695/1470722885632$	$0.91757$	$3.61142$	$[0, -1, 0, 115632, -10973248]$	\(y^2=x^3-x^2+115632x-10973248\)	8008.2.0.?	$[(231101/19, 123650982/19)]$
450450.a1	450450a1	450450.a	450450a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \cdot 11^{5} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8008$	$2$	$0$	$1$	$1$		$0$	$3801600$	$1.839741$	$1669760225634695/1470722885632$	$0.91757$	$3.44615$	$[1, -1, 0, 65043, -4629339]$	\(y^2+xy=x^3-x^2+65043x-4629339\)	8008.2.0.?	$[ ]$
450450.ki1	450450ki1	450450.ki	450450ki	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( - 2^{11} \cdot 3^{6} \cdot 5^{8} \cdot 7^{3} \cdot 11^{5} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8008$	$2$	$0$	$1$	$1$		$0$	$19008000$	$2.644459$	$1669760225634695/1470722885632$	$0.91757$	$4.18794$	$[1, -1, 1, 1626070, -577041303]$	\(y^2+xy+y=x^3-x^2+1626070x-577041303\)	8008.2.0.?	$[ ]$

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