Elliptic curve search results

Results (10 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
25230.h1	25230i3	25230.h	25230i	$4$	$10$	\( 2 \cdot 3 \cdot 5 \cdot 29^{2} \)	\( 2^{20} \cdot 3^{10} \cdot 5 \cdot 29^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$580$	$288$	$5$	$1.017678062$	$1$		$7$	$224000$	$1.851089$	$21685195471991381/309586821120$	$1.03286$	$4.70780$	$1$	$[1, 0, 1, -168479, 26272946]$	\(y^2+xy+y=x^3-168479x+26272946\)	2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 20.72.1.r.2, 116.6.0.?, $\ldots$	$[(186, 1081)]$	$1$
25230.q1	25230r3	25230.q	25230r	$4$	$10$	\( 2 \cdot 3 \cdot 5 \cdot 29^{2} \)	\( 2^{20} \cdot 3^{10} \cdot 5 \cdot 29^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$580$	$288$	$5$	$4.015739374$	$1$		$3$	$6496000$	$3.534737$	$21685195471991381/309586821120$	$1.03286$	$6.70111$	$1$	$[1, 1, 1, -141690436, 641054266949]$	\(y^2+xy+y=x^3+x^2-141690436x+641054266949\)	2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 20.72.1.r.2, 116.6.0.?, $\ldots$	$[(3533, 427857)]$	$1$
75690.p1	75690x3	75690.p	75690x	$4$	$10$	\( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{20} \cdot 3^{16} \cdot 5 \cdot 29^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$1740$	$288$	$5$	$1$	$25$	$5$	$1$	$51968000$	$4.084045$	$21685195471991381/309586821120$	$1.03286$	$6.63255$	$1$	$[1, -1, 0, -1275213924, -17309740421552]$	\(y^2+xy=x^3-x^2-1275213924x-17309740421552\)	2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 20.72.1.r.2, 116.6.0.?, $\ldots$	$[ ]$	$1$
75690.bo1	75690bs3	75690.bo	75690bs	$4$	$10$	\( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{20} \cdot 3^{16} \cdot 5 \cdot 29^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$1740$	$288$	$5$	$2.025236546$	$1$		$3$	$1792000$	$2.400394$	$21685195471991381/309586821120$	$1.03286$	$4.83417$	$1$	$[1, -1, 1, -1516307, -709369549]$	\(y^2+xy+y=x^3-x^2-1516307x-709369549\)	2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 20.72.1.r.2, 116.6.0.?, $\ldots$	$[(4059, 242914)]$	$1$
126150.bk1	126150bi3	126150.bk	126150bi	$4$	$10$	\( 2 \cdot 3 \cdot 5^{2} \cdot 29^{2} \)	\( 2^{20} \cdot 3^{10} \cdot 5^{7} \cdot 29^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$580$	$288$	$5$	$10.28276518$	$1$		$1$	$155904000$	$4.339455$	$21685195471991381/309586821120$	$1.03286$	$6.60504$	$1$	$[1, 0, 1, -3542260901, 80138867890448]$	\(y^2+xy+y=x^3-3542260901x+80138867890448\)	2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 20.72.1.r.2, 116.6.0.?, $\ldots$	$[(13033827/7, 45919292026/7)]$	$1$
126150.ch1	126150cg3	126150.ch	126150cg	$4$	$10$	\( 2 \cdot 3 \cdot 5^{2} \cdot 29^{2} \)	\( 2^{20} \cdot 3^{10} \cdot 5^{7} \cdot 29^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$580$	$288$	$5$	$1.192758131$	$1$		$7$	$5376000$	$2.655807$	$21685195471991381/309586821120$	$1.03286$	$4.88487$	$1$	$[1, 1, 1, -4211963, 3284118281]$	\(y^2+xy+y=x^3+x^2-4211963x+3284118281\)	2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 20.72.1.r.2, 116.6.0.?, $\ldots$	$[(1011, 7270)]$	$1$
201840.q1	201840bz3	201840.q	201840bz	$4$	$10$	\( 2^{4} \cdot 3 \cdot 5 \cdot 29^{2} \)	\( 2^{32} \cdot 3^{10} \cdot 5 \cdot 29^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$580$	$288$	$5$	$16.34029792$	$1$		$1$	$5376000$	$2.544235$	$21685195471991381/309586821120$	$1.03286$	$4.58731$	$1$	$[0, -1, 0, -2695656, -1681468560]$	\(y^2=x^3-x^2-2695656x-1681468560\)	2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 20.72.1.r.2, 116.6.0.?, $\ldots$	$[(927177429/358, 27429018629139/358)]$	$1$
201840.cp1	201840ba3	201840.cp	201840ba	$4$	$10$	\( 2^{4} \cdot 3 \cdot 5 \cdot 29^{2} \)	\( 2^{32} \cdot 3^{10} \cdot 5 \cdot 29^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$580$	$288$	$5$	$1$	$9$	$3$	$1$	$155904000$	$4.227882$	$21685195471991381/309586821120$	$1.03286$	$6.24129$	$1$	$[0, 1, 0, -2267046976, -41032007178700]$	\(y^2=x^3+x^2-2267046976x-41032007178700\)	2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 20.72.1.r.2, 116.6.0.?, $\ldots$	$[ ]$	$1$
378450.bw1	378450bw3	378450.bw	378450bw	$4$	$10$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{20} \cdot 3^{16} \cdot 5^{7} \cdot 29^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$1740$	$288$	$5$	$4.749183271$	$1$		$5$	$43008000$	$3.205116$	$21685195471991381/309586821120$	$1.03286$	$4.98026$	$1$	$[1, -1, 0, -37907667, -88709101259]$	\(y^2+xy=x^3-x^2-37907667x-88709101259\)	2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 20.72.1.r.2, 116.6.0.?, $\ldots$	$[(-3271, 18398)]$	$1$
378450.ek1	378450ek3	378450.ek	378450ek	$4$	$10$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{20} \cdot 3^{16} \cdot 5^{7} \cdot 29^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 5$	2.3.0.1, 5.6.0.1	2B, 5B	$1740$	$288$	$5$	$1$	$1$		$1$	$1247232000$	$4.888763$	$21685195471991381/309586821120$	$1.03286$	$6.55329$	$1$	$[1, -1, 1, -31880348105, -2163749433042103]$	\(y^2+xy+y=x^3-x^2-31880348105x-2163749433042103\)	2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 20.72.1.r.2, 116.6.0.?, $\ldots$	$[ ]$	$1$

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