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
51870.m1	51870q1	51870.m	51870q	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{2} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$207480$	$12$	$0$	$5.889019619$	$1$		$3$	$51200$	$0.737397$	$26967882743214841/58820580$	$0.89263$	$3.48487$	$[1, 1, 0, -6247, -192671]$	\(y^2+xy=x^3+x^2-6247x-192671\)	2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.?	$[(315, 5248)]$
155610.dl1	155610by1	155610.dl	155610by	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{2} \cdot 3^{11} \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$1$	$409600$	$1.286703$	$26967882743214841/58820580$	$0.89263$	$3.71599$	$[1, -1, 1, -56228, 5145891]$	\(y^2+xy+y=x^3-x^2-56228x+5145891\)	2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.?	$[]$
259350.gi1	259350gi1	259350.gi	259350gi	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{2} \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \cdot 13 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$1$	$1228800$	$1.542116$	$26967882743214841/58820580$	$0.89263$	$3.80959$	$[1, 0, 0, -156188, -23771508]$	\(y^2+xy=x^3-156188x-23771508\)	2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.?	$[]$
363090.ci1	363090ci1	363090.ci	363090ci	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( 2^{2} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 13 \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1.956280950$	$1$		$17$	$2457600$	$1.710352$	$26967882743214841/58820580$	$0.89263$	$3.86715$	$[1, 0, 1, -306129, 65167792]$	\(y^2+xy+y=x^3-306129x+65167792\)	2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.?	$[(305, 288), (-577, 7344)]$
414960.hr1	414960hr1	414960.hr	414960hr	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{14} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1.595695782$	$1$		$5$	$1228800$	$1.430544$	$26967882743214841/58820580$	$0.89263$	$3.56767$	$[0, 1, 0, -99960, 12131028]$	\(y^2=x^3+x^2-99960x+12131028\)	2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.?	$[(183, 18)]$