Elliptic curve search results

Results (8 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
29302.f1	29302e2	29302.f	29302e	$2$	$3$	\( 2 \cdot 7^{2} \cdot 13 \cdot 23 \)	\( - 2^{2} \cdot 7^{8} \cdot 13 \cdot 23^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$156$	$16$	$0$	$5.243351687$	$1$		$0$	$381024$	$2.042068$	$-1552807715412625/7697866228$	$0.92211$	$4.91518$	$[1, 0, 0, -432573, -110009915]$	\(y^2+xy=x^3-432573x-110009915\)	3.8.0-3.a.1.1, 52.2.0.a.1, 156.16.0.?	$[(20026/5, 898961/5)]$
29302.i1	29302f2	29302.i	29302f	$2$	$3$	\( 2 \cdot 7^{2} \cdot 13 \cdot 23 \)	\( - 2^{2} \cdot 7^{2} \cdot 13 \cdot 23^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1092$	$16$	$0$	$3.238273190$	$1$		$0$	$54432$	$1.069113$	$-1552807715412625/7697866228$	$0.92211$	$3.78003$	$[1, 1, 1, -8828, 316945]$	\(y^2+xy+y=x^3+x^2-8828x+316945\)	3.4.0.a.1, 21.8.0-3.a.1.2, 52.2.0.a.1, 156.8.0.?, 1092.16.0.?	$[(6125/11, 38649/11)]$
234416.g1	234416g2	234416.g	234416g	$2$	$3$	\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 \)	\( - 2^{14} \cdot 7^{2} \cdot 13 \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1092$	$16$	$0$	$1$	$1$		$0$	$1306368$	$1.762259$	$-1552807715412625/7697866228$	$0.92211$	$3.81703$	$[0, 1, 0, -141248, -20566988]$	\(y^2=x^3+x^2-141248x-20566988\)	3.4.0.a.1, 52.2.0.a.1, 84.8.0.?, 156.8.0.?, 546.8.0.?, $\ldots$	$[]$
234416.bu1	234416bu2	234416.bu	234416bu	$2$	$3$	\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 \)	\( - 2^{14} \cdot 7^{8} \cdot 13 \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$156$	$16$	$0$	$1$	$1$		$0$	$9144576$	$2.735214$	$-1552807715412625/7697866228$	$0.92211$	$4.76127$	$[0, -1, 0, -6921168, 7040634560]$	\(y^2=x^3-x^2-6921168x+7040634560\)	3.4.0.a.1, 12.8.0-3.a.1.2, 52.2.0.a.1, 78.8.0.?, 156.16.0.?	$[]$
263718.w1	263718w2	263718.w	263718w	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 23 \)	\( - 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 13 \cdot 23^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1092$	$16$	$0$	$3.032353728$	$1$		$10$	$1306368$	$1.618418$	$-1552807715412625/7697866228$	$0.92211$	$3.64273$	$[1, -1, 0, -79452, -8636972]$	\(y^2+xy=x^3-x^2-79452x-8636972\)	3.4.0.a.1, 21.8.0-3.a.1.1, 52.2.0.a.1, 156.8.0.?, 1092.16.0.?	$[(398, 4562), (2627/2, 116605/2)]$
263718.x1	263718x2	263718.x	263718x	$2$	$3$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 23 \)	\( - 2^{2} \cdot 3^{6} \cdot 7^{8} \cdot 13 \cdot 23^{6} \)	$2$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$156$	$16$	$0$	$6.682349614$	$1$		$14$	$9144576$	$2.591373$	$-1552807715412625/7697866228$	$0.92211$	$4.57807$	$[1, -1, 0, -3893157, 2970267705]$	\(y^2+xy=x^3-x^2-3893157x+2970267705\)	3.8.0-3.a.1.2, 52.2.0.a.1, 156.16.0.?	$[(1977, 53763), (17824, 2356661)]$
380926.d1	380926d2	380926.d	380926d	$2$	$3$	\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 23 \)	\( - 2^{2} \cdot 7^{8} \cdot 13^{7} \cdot 23^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$156$	$16$	$0$	$4.646290925$	$1$		$0$	$64012032$	$3.324543$	$-1552807715412625/7697866228$	$0.92211$	$5.13171$	$[1, 0, 1, -73104841, -241618678416]$	\(y^2+xy+y=x^3-73104841x-241618678416\)	3.4.0.a.1, 12.8.0-3.a.1.4, 39.8.0-3.a.1.2, 52.2.0.a.1, 156.16.0.?	$[(239248/3, 109649045/3)]$
380926.ba1	380926ba2	380926.ba	380926ba	$2$	$3$	\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 23 \)	\( - 2^{2} \cdot 7^{2} \cdot 13^{7} \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1092$	$16$	$0$	$1$	$1$		$0$	$9144576$	$2.351585$	$-1552807715412625/7697866228$	$0.92211$	$4.22314$	$[1, 1, 0, -1491935, 703788233]$	\(y^2+xy=x^3+x^2-1491935x+703788233\)	3.4.0.a.1, 52.2.0.a.1, 84.8.0.?, 156.8.0.?, 273.8.0.?, $\ldots$	$[]$