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.e4	16744g4	16744.e	16744g	$4$	$4$	\( 2^{3} \cdot 7 \cdot 13 \cdot 23 \)	\( - 2^{11} \cdot 7 \cdot 13^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.103	2B	$1288$	$48$	$0$	$1$	$4$	$2$	$1$	$35840$	$1.448236$	$-1006057824354/131332646081$	$0.99867$	$4.18318$	$[0, 0, 0, -2651, 790806]$	\(y^2=x^3-2651x+790806\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 644.12.0.?, 1288.48.0.?	$[]$
33488.p4	33488f3	33488.p	33488f	$4$	$4$	\( 2^{4} \cdot 7 \cdot 13 \cdot 23 \)	\( - 2^{11} \cdot 7 \cdot 13^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.101	2B	$1288$	$48$	$0$	$8.435484742$	$1$		$1$	$71680$	$1.448236$	$-1006057824354/131332646081$	$0.99867$	$3.90488$	$[0, 0, 0, -2651, -790806]$	\(y^2=x^3-2651x-790806\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 644.12.0.?, 1288.48.0.?	$[(4054/3, 255304/3)]$
117208.l4	117208r3	117208.l	117208r	$4$	$4$	\( 2^{3} \cdot 7^{2} \cdot 13 \cdot 23 \)	\( - 2^{11} \cdot 7^{7} \cdot 13^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$1288$	$48$	$0$	$1$	$1$		$1$	$1720320$	$2.421192$	$-1006057824354/131332646081$	$0.99867$	$4.48608$	$[0, 0, 0, -129899, -271246458]$	\(y^2=x^3-129899x-271246458\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0-8.p.1.2, 92.12.0.?, $\ldots$	$[]$
133952.bl4	133952ci3	133952.bl	133952ci	$4$	$4$	\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \)	\( - 2^{17} \cdot 7 \cdot 13^{8} \cdot 23 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.50	2B	$1288$	$48$	$0$	$1$	$4$	$2$	$3$	$573440$	$1.794809$	$-1006057824354/131332646081$	$0.99867$	$3.79862$	$[0, 0, 0, -10604, 6326448]$	\(y^2=x^3-10604x+6326448\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 1288.48.0.?	$[]$
133952.bm4	133952r4	133952.bm	133952r	$4$	$4$	\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \)	\( - 2^{17} \cdot 7 \cdot 13^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.60	2B	$1288$	$48$	$0$	$12.62709559$	$1$		$1$	$573440$	$1.794809$	$-1006057824354/131332646081$	$0.99867$	$3.79862$	$[0, 0, 0, -10604, -6326448]$	\(y^2=x^3-10604x-6326448\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 1288.48.0.?	$[(184129/30, 7007617/30)]$
150696.x4	150696bf4	150696.x	150696bf	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \)	\( - 2^{11} \cdot 3^{6} \cdot 7 \cdot 13^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$3864$	$48$	$0$	$14.55870347$	$4$	$2$	$1$	$1146880$	$1.997543$	$-1006057824354/131332646081$	$0.99867$	$3.96514$	$[0, 0, 0, -23859, -21351762]$	\(y^2=x^3-23859x-21351762\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 1288.24.0.?, $\ldots$	$[(1805209/40, 2384336573/40)]$
217672.l4	217672s3	217672.l	217672s	$4$	$4$	\( 2^{3} \cdot 7 \cdot 13^{2} \cdot 23 \)	\( - 2^{11} \cdot 7 \cdot 13^{14} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$16744$	$48$	$0$	$1$	$4$	$2$	$1$	$6021120$	$2.730709$	$-1006057824354/131332646081$	$0.99867$	$4.56233$	$[0, 0, 0, -448019, 1737400782]$	\(y^2=x^3-448019x+1737400782\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 104.24.0.?, 1288.24.0.?, $\ldots$	$[]$
234416.bh4	234416bh3	234416.bh	234416bh	$4$	$4$	\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 \)	\( - 2^{11} \cdot 7^{7} \cdot 13^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$1288$	$48$	$0$	$1$	$1$		$1$	$3440640$	$2.421192$	$-1006057824354/131332646081$	$0.99867$	$4.23460$	$[0, 0, 0, -129899, 271246458]$	\(y^2=x^3-129899x+271246458\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0-8.p.1.1, 92.12.0.?, $\ldots$	$[]$
301392.cz4	301392cz3	301392.cz	301392cz	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \)	\( - 2^{11} \cdot 3^{6} \cdot 7 \cdot 13^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$3864$	$48$	$0$	$4.321165291$	$4$	$2$	$3$	$2293760$	$1.997543$	$-1006057824354/131332646081$	$0.99867$	$3.74729$	$[0, 0, 0, -23859, 21351762]$	\(y^2=x^3-23859x+21351762\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.7, 1288.24.0.?, $\ldots$	$[(-81, 4770)]$
385112.m4	385112m4	385112.m	385112m	$4$	$4$	\( 2^{3} \cdot 7 \cdot 13 \cdot 23^{2} \)	\( - 2^{11} \cdot 7 \cdot 13^{8} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$1288$	$48$	$0$	$1$	$64$	$2$	$1$	$18923520$	$3.015984$	$-1006057824354/131332646081$	$0.99867$	$4.62611$	$[0, 0, 0, -1402379, -9621736602]$	\(y^2=x^3-1402379x-9621736602\)	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.1.5, $\ldots$	$[]$
418600.n4	418600n3	418600.n	418600n	$4$	$4$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \)	\( - 2^{11} \cdot 5^{6} \cdot 7 \cdot 13^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$6440$	$48$	$0$	$1$	$4$	$2$	$1$	$4587520$	$2.252956$	$-1006057824354/131332646081$	$0.99867$	$3.88897$	$[0, 0, 0, -66275, 98850750]$	\(y^2=x^3-66275x+98850750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.4, 1288.24.0.?, $\ldots$	$[]$
435344.bc4	435344bc4	435344.bc	435344bc	$4$	$4$	\( 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 \)	\( - 2^{11} \cdot 7 \cdot 13^{14} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$16744$	$48$	$0$	$1$	$16$	$2$	$1$	$12042240$	$2.730709$	$-1006057824354/131332646081$	$0.99867$	$4.31877$	$[0, 0, 0, -448019, -1737400782]$	\(y^2=x^3-448019x-1737400782\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 104.24.0.?, 1288.24.0.?, $\ldots$	$[]$