Elliptic curve search results

Results (9 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
9338.h2	9338g1	9338.h	9338g	$2$	$2$	\( 2 \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{10} \cdot 7^{7} \cdot 23 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$37352$	$12$	$0$	$1$	$4$	$2$	$1$	$53760$	$1.776371$	$6811821555839776164753/16312107262976$	$0.98402$	$5.49921$	$[1, -1, 1, -394924, -95426257]$	\(y^2+xy+y=x^3-x^2-394924x-95426257\)	2.3.0.a.1, 232.6.0.?, 322.6.0.?, 37352.12.0.?	$[]$
65366.r2	65366s1	65366.r	65366s	$2$	$2$	\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \)	\( 2^{10} \cdot 7^{13} \cdot 23 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$37352$	$12$	$0$	$3.691310550$	$1$		$5$	$2580480$	$2.749325$	$6811821555839776164753/16312107262976$	$0.98402$	$5.58710$	$[1, -1, 1, -19351261, 32769908581]$	\(y^2+xy+y=x^3-x^2-19351261x+32769908581\)	2.3.0.a.1, 232.6.0.?, 322.6.0.?, 37352.12.0.?	$[(2641, 7548)]$
74704.m2	74704r1	74704.m	74704r	$2$	$2$	\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{22} \cdot 7^{7} \cdot 23 \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$37352$	$12$	$0$	$2.752432444$	$1$		$13$	$1290240$	$2.469517$	$6811821555839776164753/16312107262976$	$0.98402$	$5.22139$	$[0, 0, 0, -6318779, 6113599210]$	\(y^2=x^3-6318779x+6113599210\)	2.3.0.a.1, 232.6.0.?, 322.6.0.?, 37352.12.0.?	$[(1503, 3430), (3757, 188160)]$
84042.d2	84042k1	84042.d	84042k	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{7} \cdot 23 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$37352$	$12$	$0$	$1$	$1$		$1$	$1720320$	$2.325676$	$6811821555839776164753/16312107262976$	$0.98402$	$5.01493$	$[1, -1, 0, -3554313, 2580063245]$	\(y^2+xy=x^3-x^2-3554313x+2580063245\)	2.3.0.a.1, 232.6.0.?, 322.6.0.?, 37352.12.0.?	$[]$
214774.n2	214774d1	214774.n	214774d	$2$	$2$	\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \)	\( 2^{10} \cdot 7^{7} \cdot 23^{7} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$37352$	$12$	$0$	$0.955085331$	$1$		$9$	$28385280$	$3.344120$	$6811821555839776164753/16312107262976$	$0.98402$	$5.62711$	$[1, -1, 1, -208914631, 1162304753471]$	\(y^2+xy+y=x^3-x^2-208914631x+1162304753471\)	2.3.0.a.1, 232.6.0.?, 322.6.0.?, 37352.12.0.?	$[(8471, 15658)]$
233450.v2	233450v1	233450.v	233450v	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{10} \cdot 5^{6} \cdot 7^{7} \cdot 23 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$37352$	$12$	$0$	$2.778882126$	$1$		$3$	$6881280$	$2.581089$	$6811821555839776164753/16312107262976$	$0.98402$	$4.84839$	$[1, -1, 0, -9873092, -11938155184]$	\(y^2+xy=x^3-x^2-9873092x-11938155184\)	2.3.0.a.1, 232.6.0.?, 322.6.0.?, 37352.12.0.?	$[(10984, 1092108)]$
270802.e2	270802e1	270802.e	270802e	$2$	$2$	\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \)	\( 2^{10} \cdot 7^{7} \cdot 23 \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$37352$	$12$	$0$	$1$	$16$	$2$	$1$	$45158400$	$3.460018$	$6811821555839776164753/16312107262976$	$0.98402$	$5.63402$	$[1, -1, 0, -332130821, -2329675891243]$	\(y^2+xy=x^3-x^2-332130821x-2329675891243\)	2.3.0.a.1, 232.6.0.?, 322.6.0.?, 37352.12.0.?	$[]$
298816.v2	298816v1	298816.v	298816v	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{28} \cdot 7^{7} \cdot 23 \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$37352$	$12$	$0$	$72.69675381$	$1$		$3$	$10321920$	$2.816093$	$6811821555839776164753/16312107262976$	$0.98402$	$4.97713$	$[0, 0, 0, -25275116, -48908793680]$	\(y^2=x^3-25275116x-48908793680\)	2.3.0.a.1, 232.6.0.?, 322.6.0.?, 37352.12.0.?	$[(6072, 146596), (-142344/7, 77860/7)]$
298816.bd2	298816bd1	298816.bd	298816bd	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{28} \cdot 7^{7} \cdot 23 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$37352$	$12$	$0$	$2.077123379$	$1$		$5$	$10321920$	$2.816093$	$6811821555839776164753/16312107262976$	$0.98402$	$4.97713$	$[0, 0, 0, -25275116, 48908793680]$	\(y^2=x^3-25275116x+48908793680\)	2.3.0.a.1, 232.6.0.?, 322.6.0.?, 37352.12.0.?	$[(2908, 392)]$