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
18354.p2	18354t3	18354.p	18354t	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{4} \cdot 3^{24} \cdot 7^{4} \cdot 19^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.48.0.34	2Cs	$1288$	$192$	$1$	$1$	$4$	$2$	$2$	$16171008$	$4.081024$	$22522169193664496977562630203672417/747984040969628348507664$	$1.12033$	$8.05694$	$[1, 1, 1, -5883406214, -173699065785229]$	\(y^2+xy+y=x^3+x^2-5883406214x-173699065785229\)	2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.1.1, 56.96.0-56.v.1.2, 92.48.0.?, $\ldots$	$[]$
55062.o2	55062k4	55062.o	55062k	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{4} \cdot 3^{30} \cdot 7^{4} \cdot 19^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$3864$	$192$	$1$	$18.66324430$	$1$		$2$	$129368064$	$4.630325$	$22522169193664496977562630203672417/747984040969628348507664$	$1.12033$	$7.84993$	$[1, -1, 0, -52950655926, 4689821825545252]$	\(y^2+xy=x^3-x^2-52950655926x+4689821825545252\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.1, 24.48.0-8.e.1.1, $\ldots$	$[(14194100719/255, 983706400441543/255)]$
128478.cu2	128478cq4	128478.cu	128478cq	$6$	$8$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23 \)	\( 2^{4} \cdot 3^{24} \cdot 7^{10} \cdot 19^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.142	2Cs	$1288$	$192$	$1$	$6.751348628$	$1$		$2$	$776208384$	$5.053978$	$22522169193664496977562630203672417/747984040969628348507664$	$1.12033$	$7.71668$	$[1, 0, 0, -288286904487, 59577914703620025]$	\(y^2+xy=x^3-288286904487x+59577914703620025\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.2, 28.24.0-4.b.1.1, 56.96.0-56.v.1.5, $\ldots$	$[(7754316/5, 1660521/5)]$
146832.ba2	146832d3	146832.ba	146832d	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{16} \cdot 3^{24} \cdot 7^{4} \cdot 19^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.25	2Cs	$1288$	$192$	$1$	$1$	$1$		$7$	$388104192$	$4.774170$	$22522169193664496977562630203672417/747984040969628348507664$	$1.12033$	$7.34784$	$[0, 1, 0, -94134499424, 11116551941255796]$	\(y^2=x^3+x^2-94134499424x+11116551941255796\)	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 56.96.0-56.v.1.6, 92.48.0.?, $\ldots$	$[]$
348726.o2	348726o3	348726.o	348726o	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{24} \cdot 7^{4} \cdot 19^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$24472$	$192$	$1$	$1$	$1$		$2$	$5821562880$	$5.553246$	$22522169193664496977562630203672417/747984040969628348507664$	$1.12033$	$7.58236$	$[1, 0, 1, -2123909643262, 1191384900943738400]$	\(y^2+xy+y=x^3-2123909643262x+1191384900943738400\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 56.48.0.v.1, 76.24.0.?, $\ldots$	$[]$
385434.bb2	385434bb4	385434.bb	385434bb	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \cdot 23 \)	\( 2^{4} \cdot 3^{30} \cdot 7^{10} \cdot 19^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$3864$	$192$	$1$	$130.0631500$	$1$		$2$	$6209667072$	$5.603287$	$22522169193664496977562630203672417/747984040969628348507664$	$1.12033$	$7.57005$	$[1, -1, 0, -2594582140383, -1608603696997740675]$	\(y^2+xy=x^3-x^2-2594582140383x-1608603696997740675\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 24.48.0-8.e.1.2, 56.48.0.v.1, $\ldots$	$[(11190040863070960976442879168849560349511501032331293627013/63952230677836547093413231, 897131201413681064046774097113559808862020480947833013071925322099018883492116074059951/63952230677836547093413231)]$
422142.cw2	422142cw3	422142.cw	422142cw	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{24} \cdot 7^{4} \cdot 19^{4} \cdot 23^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.13	2Cs	$1288$	$192$	$1$	$1$	$36$	$2, 3$	$2$	$8538292224$	$5.648773$	$22522169193664496977562630203672417/747984040969628348507664$	$1.12033$	$7.55902$	$[1, 1, 1, -3112321887217, 2113365410190006911]$	\(y^2+xy+y=x^3+x^2-3112321887217x+2113365410190006911\)	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.1.16, 56.96.0-56.v.1.15, 92.48.0.?, $\ldots$	$[]$
440496.db2	440496db4	440496.db	440496db	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{16} \cdot 3^{30} \cdot 7^{4} \cdot 19^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$3864$	$192$	$1$	$117.9802270$	$1$		$3$	$3104833536$	$5.323479$	$22522169193664496977562630203672417/747984040969628348507664$	$1.12033$	$7.23390$	$[0, 0, 0, -847210494819, -300147749624401310]$	\(y^2=x^3-847210494819x-300147749624401310\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.3, 24.48.0-8.e.1.9, $\ldots$	$[(15942049184752485187208738753038623502900234807832511/35132950893129225489185, 2007613699328687909984716458411108557616801925074659327495093349894446948666866/35132950893129225489185)]$
458850.cj2	458850cj4	458850.cj	458850cj	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{4} \cdot 3^{24} \cdot 5^{6} \cdot 7^{4} \cdot 19^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$6440$	$192$	$1$	$1$	$1$		$2$	$2069889024$	$4.885742$	$22522169193664496977562630203672417/747984040969628348507664$	$1.12033$	$6.80831$	$[1, 0, 1, -147085155351, -21712089052842902]$	\(y^2+xy+y=x^3-147085155351x-21712089052842902\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 20.24.0-4.b.1.1, 40.48.0-8.e.1.1, $\ldots$	$[]$