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.b1	9338a2	9338.b	9338a	$2$	$2$	\( 2 \cdot 7 \cdot 23 \cdot 29 \)	\( 2 \cdot 7^{2} \cdot 23^{4} \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$1624$	$12$	$0$	$1.550356144$	$1$		$10$	$3328$	$0.397485$	$1384331873625/795308122$	$0.96401$	$3.05805$	$[1, -1, 0, -232, 174]$	\(y^2+xy=x^3-x^2-232x+174\)	2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.?	$[(-5, 37), (-137/3, 148/3)]$
65366.i1	65366i2	65366.i	65366i	$2$	$2$	\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \)	\( 2 \cdot 7^{8} \cdot 23^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1624$	$12$	$0$	$2.031010372$	$1$		$4$	$159744$	$1.370440$	$1384331873625/795308122$	$0.96401$	$3.57437$	$[1, -1, 0, -11377, -36933]$	\(y^2+xy=x^3-x^2-11377x-36933\)	2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.?	$[(-89, 559)]$
74704.i1	74704o2	74704.i	74704o	$2$	$2$	\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{13} \cdot 7^{2} \cdot 23^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1624$	$12$	$0$	$4.481127477$	$1$		$3$	$79872$	$1.090631$	$1384331873625/795308122$	$0.96401$	$3.23261$	$[0, 0, 0, -3715, -7422]$	\(y^2=x^3-3715x-7422\)	2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.?	$[(62, 24)]$
84042.bj1	84042bh2	84042.bj	84042bh	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \)	\( 2 \cdot 3^{6} \cdot 7^{2} \cdot 23^{4} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1624$	$12$	$0$	$1$	$1$		$0$	$106496$	$0.946791$	$1384331873625/795308122$	$0.96401$	$3.04680$	$[1, -1, 1, -2090, -2609]$	\(y^2+xy+y=x^3-x^2-2090x-2609\)	2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.?	$[]$
214774.f1	214774k2	214774.f	214774k	$2$	$2$	\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \)	\( 2 \cdot 7^{2} \cdot 23^{10} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1624$	$12$	$0$	$9.824729852$	$1$		$0$	$1757184$	$1.965233$	$1384331873625/795308122$	$0.96401$	$3.80939$	$[1, -1, 0, -122827, -1380285]$	\(y^2+xy=x^3-x^2-122827x-1380285\)	2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.?	$[(15949/4, 1851385/4)]$
233450.ch1	233450ch2	233450.ch	233450ch	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \)	\( 2 \cdot 5^{6} \cdot 7^{2} \cdot 23^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1624$	$12$	$0$	$9.498647578$	$1$		$0$	$479232$	$1.202204$	$1384331873625/795308122$	$0.96401$	$3.04293$	$[1, -1, 1, -5805, 15947]$	\(y^2+xy+y=x^3-x^2-5805x+15947\)	2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.?	$[(12813/4, 1417465/4)]$
270802.p1	270802p2	270802.p	270802p	$2$	$2$	\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \)	\( 2 \cdot 7^{2} \cdot 23^{4} \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1624$	$12$	$0$	$5.992491573$	$1$		$0$	$2795520$	$2.081131$	$1384331873625/795308122$	$0.96401$	$3.84999$	$[1, -1, 1, -195270, 2877179]$	\(y^2+xy+y=x^3-x^2-195270x+2877179\)	2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.?	$[(10363/2, 1029049/2)]$
298816.bi1	298816bi2	298816.bi	298816bi	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{19} \cdot 7^{2} \cdot 23^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1624$	$12$	$0$	$2.043306868$	$1$		$5$	$638976$	$1.437206$	$1384331873625/795308122$	$0.96401$	$3.20703$	$[0, 0, 0, -14860, 59376]$	\(y^2=x^3-14860x+59376\)	2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.?	$[(-88, 828)]$
298816.bk1	298816bk2	298816.bk	298816bk	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \)	\( 2^{19} \cdot 7^{2} \cdot 23^{4} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1624$	$12$	$0$	$1$	$1$		$1$	$638976$	$1.437206$	$1384331873625/795308122$	$0.96401$	$3.20703$	$[0, 0, 0, -14860, -59376]$	\(y^2=x^3-14860x-59376\)	2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.?	$[]$