Elliptic curve search results

Results (5 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
46410.c3	46410d3	46410.c	46410d	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{2} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 13 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1.028728940$	$1$		$6$	$294912$	$1.560623$	$-23337017143411609/1028366161952220$	$0.94832$	$3.91191$	$[1, 1, 0, -5953, 1550497]$	\(y^2+xy=x^3+x^2-5953x+1550497\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 140.12.0.?, $\ldots$	$[(-61, 1331)]$
139230.du3	139230q3	139230.du	139230q	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{2} \cdot 3^{10} \cdot 5 \cdot 7 \cdot 13 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$10920$	$48$	$0$	$6.139966261$	$4$	$2$	$2$	$2359296$	$2.109928$	$-23337017143411609/1028366161952220$	$0.94832$	$4.10560$	$[1, -1, 1, -53582, -41916999]$	\(y^2+xy+y=x^3-x^2-53582x-41916999\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 312.24.0.?, $\ldots$	$[(405, 1437)]$
232050.he3	232050he4	232050.he	232050he	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{2} \cdot 3^{4} \cdot 5^{7} \cdot 7 \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$4$	$2$	$0$	$7077888$	$2.365341$	$-23337017143411609/1028366161952220$	$0.94832$	$4.18392$	$[1, 0, 0, -148838, 194109792]$	\(y^2+xy=x^3-148838x+194109792\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 120.12.0.?, 260.12.0.?, $\ldots$	$[]$
324870.cr3	324870cr3	324870.cr	324870cr	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{2} \cdot 3^{4} \cdot 5 \cdot 7^{7} \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$1$		$0$	$14155776$	$2.533577$	$-23337017143411609/1028366161952220$	$0.94832$	$4.23207$	$[1, 0, 1, -291723, -532695614]$	\(y^2+xy+y=x^3-291723x-532695614\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 168.12.0.?, 312.12.0.?, $\ldots$	$[]$
371280.er3	371280er3	371280.er	371280er	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 13 \cdot 17^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$5.481469189$	$1$		$9$	$7077888$	$2.253769$	$-23337017143411609/1028366161952220$	$0.94832$	$3.92619$	$[0, 1, 0, -95256, -99422316]$	\(y^2=x^3+x^2-95256x-99422316\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.2, 140.12.0.?, $\ldots$	$[(582, 6528), (3030, 165648)]$