Elliptic curve search results

Results (5 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
402270.ce1	402270ce8	402270.ce	402270ce	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23 \cdot 53 \)	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23^{4} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.48.0.44	2B	$6436320$	$768$	$13$	$1$	$1024$	$2$	$0$	$232783872$	$3.987648$	$1967086041286883895699567310587409921/4894419090$	$1.01240$	$6.47582$	$[1, 0, 0, -26103568480, -1623298987569490]$	\(y^2+xy=x^3-26103568480x-1623298987569490\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 264.48.0.?, $\ldots$	$[]$
402270.ce3	402270ce7	402270.ce	402270ce	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23 \cdot 53 \)	\( - 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23^{16} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.48.0.44	2B	$6436320$	$768$	$13$	$1$	$1024$	$2$	$0$	$232783872$	$3.987648$	$-480168393520684593699023954224321/107259356170260666370327890$	$1.02149$	$5.83129$	$[1, 0, 0, -1631385580, -25367003697310]$	\(y^2+xy=x^3-1631385580x-25367003697310\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 264.48.0.?, $\ldots$	$[]$
447330.cv1	447330cv8	447330.cv	447330cv	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31 \cdot 37 \)	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 31^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.48.0.44	2B	$7157280$	$768$	$13$	$1$	$1024$	$2$	$0$	$880803840$	$4.547096$	$2541202004362280513777612137989837711361/53305632120$	$1.02382$	$6.97357$	$[1, 0, 0, -284296704640, -58345320317497720]$	\(y^2+xy=x^3-284296704640x-58345320317497720\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 120.48.0.?, $\ldots$	$[]$
447330.cv3	447330cv7	447330.cv	447330cv	$8$	$16$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31 \cdot 37 \)	\( - 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 31^{16} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.48.0.44	2B	$7157280$	$768$	$13$	$1$	$1024$	$2$	$0$	$880803840$	$4.547096$	$-620380415613717203478802928936674561/41986862587247533428179923320$	$1.00887$	$6.33429$	$[1, 0, 0, -17768255440, -911677835353480]$	\(y^2+xy=x^3-17768255440x-911677835353480\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 120.48.0.?, $\ldots$	$[]$
132826607.b1	-	132826607.b	-	$1$	$1$	\( 132826607 \)	\( -132826607 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$265653214$	$2$	$0$	$1$	$1024$	$2$	$0$		$4.136086$	$-20357525016977168717543448496884515625/132826607$	$0.95968$	$4.59281$	$[1, -1, 0, -56885348317, -5222128610262208]$	\(y^2+xy=x^3-x^2-56885348317x-5222128610262208\)	265653214.2.0.?	$[]$