Elliptic curve search results

Results (12 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
16744.e3	16744g1	16744.e	16744g	$4$	$4$	\( 2^{3} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{8} \cdot 7 \cdot 13^{2} \cdot 23 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.50	2B	$1288$	$48$	$0$	$1$	$1$		$3$	$8960$	$0.755089$	$322440248841552/27209$	$0.89423$	$4.00503$	$[0, 0, 0, -9071, 332530]$	\(y^2=x^3-9071x+332530\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 322.6.0.?, 644.24.0.?, $\ldots$	$[]$
33488.p3	33488f1	33488.p	33488f	$4$	$4$	\( 2^{4} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{8} \cdot 7 \cdot 13^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.60	2B	$1288$	$48$	$0$	$8.435484742$	$1$		$1$	$17920$	$0.755089$	$322440248841552/27209$	$0.89423$	$3.73859$	$[0, 0, 0, -9071, -332530]$	\(y^2=x^3-9071x-332530\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 322.6.0.?, 644.24.0.?, $\ldots$	$[(6521/7, 310080/7)]$
117208.l3	117208r1	117208.l	117208r	$4$	$4$	\( 2^{3} \cdot 7^{2} \cdot 13 \cdot 23 \)	\( 2^{8} \cdot 7^{7} \cdot 13^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$1288$	$48$	$0$	$1$	$1$		$1$	$430080$	$1.728045$	$322440248841552/27209$	$0.89423$	$4.33763$	$[0, 0, 0, -444479, -114057790]$	\(y^2=x^3-444479x-114057790\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0-4.c.1.2, 56.24.0-8.p.1.3, $\ldots$	$[]$
133952.bl3	133952ci1	133952.bl	133952ci	$4$	$4$	\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{14} \cdot 7 \cdot 13^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.103	2B	$1288$	$48$	$0$	$1$	$1$		$1$	$143360$	$1.101664$	$322440248841552/27209$	$0.89423$	$3.65185$	$[0, 0, 0, -36284, 2660240]$	\(y^2=x^3-36284x+2660240\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 322.6.0.?, 644.12.0.?, $\ldots$	$[]$
133952.bm3	133952r1	133952.bm	133952r	$4$	$4$	\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{14} \cdot 7 \cdot 13^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.101	2B	$1288$	$48$	$0$	$12.62709559$	$1$		$1$	$143360$	$1.101664$	$322440248841552/27209$	$0.89423$	$3.65185$	$[0, 0, 0, -36284, -2660240]$	\(y^2=x^3-36284x-2660240\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 322.6.0.?, 644.12.0.?, $\ldots$	$[(1216066/5, 1341011136/5)]$
150696.x3	150696bf1	150696.x	150696bf	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{8} \cdot 3^{6} \cdot 7 \cdot 13^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$3864$	$48$	$0$	$14.55870347$	$1$		$1$	$286720$	$1.304396$	$322440248841552/27209$	$0.89423$	$3.81982$	$[0, 0, 0, -81639, -8978310]$	\(y^2=x^3-81639x-8978310\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 24.24.0-8.p.1.8, $\ldots$	$[(8652579/155, 10749964608/155)]$
217672.l3	217672s1	217672.l	217672s	$4$	$4$	\( 2^{3} \cdot 7 \cdot 13^{2} \cdot 23 \)	\( 2^{8} \cdot 7 \cdot 13^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$16744$	$48$	$0$	$1$	$1$		$1$	$1505280$	$2.037563$	$322440248841552/27209$	$0.89423$	$4.42136$	$[0, 0, 0, -1532999, 730568410]$	\(y^2=x^3-1532999x+730568410\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$	$[]$
234416.bh3	234416bh1	234416.bh	234416bh	$4$	$4$	\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 \)	\( 2^{8} \cdot 7^{7} \cdot 13^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$1288$	$48$	$0$	$1$	$1$		$1$	$860160$	$1.728045$	$322440248841552/27209$	$0.89423$	$4.09447$	$[0, 0, 0, -444479, 114057790]$	\(y^2=x^3-444479x+114057790\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0-4.c.1.1, 56.24.0-8.p.1.4, $\ldots$	$[]$
301392.cz3	301392cz1	301392.cz	301392cz	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{8} \cdot 3^{6} \cdot 7 \cdot 13^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$3864$	$48$	$0$	$4.321165291$	$1$		$3$	$573440$	$1.304396$	$322440248841552/27209$	$0.89423$	$3.60995$	$[0, 0, 0, -81639, 8978310]$	\(y^2=x^3-81639x+8978310\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.6, $\ldots$	$[(265, 2440)]$
385112.m3	385112m1	385112.m	385112m	$4$	$4$	\( 2^{3} \cdot 7 \cdot 13 \cdot 23^{2} \)	\( 2^{8} \cdot 7 \cdot 13^{2} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$1288$	$48$	$0$	$1$	$4$	$2$	$1$	$4730880$	$2.322838$	$322440248841552/27209$	$0.89423$	$4.49139$	$[0, 0, 0, -4798559, -4045892510]$	\(y^2=x^3-4798559x-4045892510\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0-4.c.1.2, 56.24.0-8.p.1.6, $\ldots$	$[]$
418600.n3	418600n1	418600.n	418600n	$4$	$4$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{8} \cdot 5^{6} \cdot 7 \cdot 13^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$6440$	$48$	$0$	$1$	$1$		$1$	$1146880$	$1.559809$	$322440248841552/27209$	$0.89423$	$3.75512$	$[0, 0, 0, -226775, 41566250]$	\(y^2=x^3-226775x+41566250\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.2, 40.24.0-8.p.1.1, $\ldots$	$[]$
435344.bc3	435344bc1	435344.bc	435344bc	$4$	$4$	\( 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 \)	\( 2^{8} \cdot 7 \cdot 13^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$16744$	$48$	$0$	$1$	$16$	$2$	$1$	$3010560$	$2.037563$	$322440248841552/27209$	$0.89423$	$4.18533$	$[0, 0, 0, -1532999, -730568410]$	\(y^2=x^3-1532999x-730568410\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$	$[]$