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.a2	9338e1	9338.a	9338e	$2$	$2$	\( 2 \cdot 7 \cdot 23 \cdot 29 \)	\( - 2^{4} \cdot 7 \cdot 23^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$812$	$12$	$0$	$0.886055678$	$1$		$7$	$2560$	$0.158460$	$6300872423/49827568$	$0.83062$	$2.74592$	$[1, 0, 1, 38, -324]$	\(y^2+xy+y=x^3+38x-324\)	2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?	$[(6, 8)]$
65366.n2	65366n1	65366.n	65366n	$2$	$2$	\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \)	\( - 2^{4} \cdot 7^{7} \cdot 23^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$3.637074126$	$1$		$1$	$122880$	$1.131416$	$6300872423/49827568$	$0.83062$	$3.31702$	$[1, 1, 0, 1886, 112932]$	\(y^2+xy=x^3+x^2+1886x+112932\)	2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?	$[(901/3, 29641/3)]$
74704.q2	74704h1	74704.q	74704h	$2$	$2$	\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \)	\( - 2^{16} \cdot 7 \cdot 23^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$61440$	$0.851607$	$6300872423/49827568$	$0.83062$	$2.97832$	$[0, -1, 0, 616, 20720]$	\(y^2=x^3-x^2+616x+20720\)	2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?	$[]$
84042.bt2	84042bp1	84042.bt	84042bp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \)	\( - 2^{4} \cdot 3^{6} \cdot 7 \cdot 23^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1.897733803$	$1$		$5$	$61440$	$0.707767$	$6300872423/49827568$	$0.83062$	$2.79516$	$[1, -1, 1, 346, 8741]$	\(y^2+xy+y=x^3-x^2+346x+8741\)	2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?	$[(3, 97)]$
214774.a2	214774g1	214774.a	214774g	$2$	$2$	\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \)	\( - 2^{4} \cdot 7 \cdot 23^{8} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$1351680$	$1.726208$	$6300872423/49827568$	$0.83062$	$3.57698$	$[1, 0, 1, 20355, 3979784]$	\(y^2+xy+y=x^3+20355x+3979784\)	2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?	$[]$
233450.cq2	233450cq1	233450.cq	233450cq	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \)	\( - 2^{4} \cdot 5^{6} \cdot 7 \cdot 23^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$1$		$1$	$327680$	$0.963180$	$6300872423/49827568$	$0.83062$	$2.81209$	$[1, 1, 1, 962, -40469]$	\(y^2+xy+y=x^3+x^2+962x-40469\)	2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?	$[]$
270802.v2	270802v1	270802.v	270802v	$2$	$2$	\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \)	\( - 2^{4} \cdot 7 \cdot 23^{2} \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$4$	$2$	$1$	$2150400$	$1.842108$	$6300872423/49827568$	$0.83062$	$3.62188$	$[1, 1, 1, 32361, -7960675]$	\(y^2+xy+y=x^3+x^2+32361x-7960675\)	2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?	$[]$
298816.k2	298816k1	298816.k	298816k	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \)	\( - 2^{22} \cdot 7 \cdot 23^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$2.153113706$	$1$		$5$	$491520$	$1.198181$	$6300872423/49827568$	$0.83062$	$2.98070$	$[0, 1, 0, 2463, 168223]$	\(y^2=x^3+x^2+2463x+168223\)	2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?	$[(17, 464)]$
298816.cf2	298816cf1	298816.cf	298816cf	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \)	\( - 2^{22} \cdot 7 \cdot 23^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$812$	$12$	$0$	$1$	$4$	$2$	$1$	$491520$	$1.198181$	$6300872423/49827568$	$0.83062$	$2.98070$	$[0, -1, 0, 2463, -168223]$	\(y^2=x^3-x^2+2463x-168223\)	2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?	$[]$