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.e2	16744g2	16744.e	16744g	$4$	$4$	\( 2^{3} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{10} \cdot 7^{2} \cdot 13^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.1	2Cs	$1288$	$48$	$0$	$1$	$1$		$3$	$17920$	$1.101664$	$81144432781668/740329681$	$0.92786$	$4.00571$	$[0, 0, 0, -9091, 330990]$	\(y^2=x^3-9091x+330990\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 644.24.0.?, 1288.48.0.?	$[]$
33488.p2	33488f2	33488.p	33488f	$4$	$4$	\( 2^{4} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{10} \cdot 7^{2} \cdot 13^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.2	2Cs	$1288$	$48$	$0$	$4.217742371$	$1$		$5$	$35840$	$1.101664$	$81144432781668/740329681$	$0.92786$	$3.73922$	$[0, 0, 0, -9091, -330990]$	\(y^2=x^3-9091x-330990\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 644.24.0.?, 1288.48.0.?	$[(453, 9408)]$
117208.l2	117208r2	117208.l	117208r	$4$	$4$	\( 2^{3} \cdot 7^{2} \cdot 13 \cdot 23 \)	\( 2^{10} \cdot 7^{8} \cdot 13^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$1288$	$48$	$0$	$1$	$1$		$3$	$860160$	$2.074619$	$81144432781668/740329681$	$0.92786$	$4.33820$	$[0, 0, 0, -445459, -113529570]$	\(y^2=x^3-445459x-113529570\)	2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.2, 92.12.0.?, $\ldots$	$[]$
133952.bl2	133952ci2	133952.bl	133952ci	$4$	$4$	\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{16} \cdot 7^{2} \cdot 13^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.1	2Cs	$1288$	$48$	$0$	$1$	$1$		$3$	$286720$	$1.448236$	$81144432781668/740329681$	$0.92786$	$3.65241$	$[0, 0, 0, -36364, 2647920]$	\(y^2=x^3-36364x+2647920\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 644.24.0.?, 1288.48.0.?	$[]$
133952.bm2	133952r2	133952.bm	133952r	$4$	$4$	\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{16} \cdot 7^{2} \cdot 13^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.2	2Cs	$1288$	$48$	$0$	$6.313547797$	$1$		$5$	$286720$	$1.448236$	$81144432781668/740329681$	$0.92786$	$3.65241$	$[0, 0, 0, -36364, -2647920]$	\(y^2=x^3-36364x-2647920\)	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 644.24.0.?, 1288.48.0.?	$[(194570, 85824960)]$
150696.x2	150696bf2	150696.x	150696bf	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 13^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$3864$	$48$	$0$	$7.279351739$	$1$		$3$	$573440$	$1.650969$	$81144432781668/740329681$	$0.92786$	$3.82037$	$[0, 0, 0, -81819, -8936730]$	\(y^2=x^3-81819x-8936730\)	2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 644.12.0.?, $\ldots$	$[(28431/5, 4624704/5)]$
217672.l2	217672s2	217672.l	217672s	$4$	$4$	\( 2^{3} \cdot 7 \cdot 13^{2} \cdot 23 \)	\( 2^{10} \cdot 7^{2} \cdot 13^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$16744$	$48$	$0$	$1$	$1$		$3$	$3010560$	$2.384136$	$81144432781668/740329681$	$0.92786$	$4.42190$	$[0, 0, 0, -1536379, 727185030]$	\(y^2=x^3-1536379x+727185030\)	2.6.0.a.1, 8.12.0.a.1, 52.12.0-2.a.1.1, 104.24.0.?, 644.12.0.?, $\ldots$	$[]$
234416.bh2	234416bh2	234416.bh	234416bh	$4$	$4$	\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 \)	\( 2^{10} \cdot 7^{8} \cdot 13^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$1288$	$48$	$0$	$1$	$1$		$3$	$1720320$	$2.074619$	$81144432781668/740329681$	$0.92786$	$4.09501$	$[0, 0, 0, -445459, 113529570]$	\(y^2=x^3-445459x+113529570\)	2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.1, 92.12.0.?, $\ldots$	$[]$
301392.cz2	301392cz2	301392.cz	301392cz	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 13^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$3864$	$48$	$0$	$2.160582645$	$1$		$9$	$1146880$	$1.650969$	$81144432781668/740329681$	$0.92786$	$3.61048$	$[0, 0, 0, -81819, 8936730]$	\(y^2=x^3-81819x+8936730\)	2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 644.12.0.?, $\ldots$	$[(195, 630)]$
385112.m2	385112m2	385112.m	385112m	$4$	$4$	\( 2^{3} \cdot 7 \cdot 13 \cdot 23^{2} \)	\( 2^{10} \cdot 7^{2} \cdot 13^{4} \cdot 23^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$1288$	$48$	$0$	$1$	$16$	$2$	$3$	$9461760$	$2.669411$	$81144432781668/740329681$	$0.92786$	$4.49190$	$[0, 0, 0, -4809139, -4027155330]$	\(y^2=x^3-4809139x-4027155330\)	2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.3, 92.12.0.?, $\ldots$	$[]$
418600.n2	418600n2	418600.n	418600n	$4$	$4$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \)	\( 2^{10} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$6440$	$48$	$0$	$1$	$1$		$3$	$2293760$	$1.906382$	$81144432781668/740329681$	$0.92786$	$3.75563$	$[0, 0, 0, -227275, 41373750]$	\(y^2=x^3-227275x+41373750\)	2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.2, 644.12.0.?, $\ldots$	$[]$
435344.bc2	435344bc2	435344.bc	435344bc	$4$	$4$	\( 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 \)	\( 2^{10} \cdot 7^{2} \cdot 13^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$16744$	$48$	$0$	$1$	$4$	$2$	$3$	$6021120$	$2.384136$	$81144432781668/740329681$	$0.92786$	$4.18583$	$[0, 0, 0, -1536379, -727185030]$	\(y^2=x^3-1536379x-727185030\)	2.6.0.a.1, 8.12.0.a.1, 52.12.0-2.a.1.1, 104.24.0.?, 644.12.0.?, $\ldots$	$[]$