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
10626.s1	10626q2	10626.s	10626q	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2 \cdot 3^{4} \cdot 7^{2} \cdot 11 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$0$	$21504$	$1.158585$	$26444015547214434625/46191222$	$0.96095$	$4.82378$	$[1, 0, 0, -62068, 5946650]$	\(y^2+xy=x^3-62068x+5946650\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[]$
31878.p1	31878u2	31878.p	31878u	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2 \cdot 3^{10} \cdot 7^{2} \cdot 11 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$6.428658903$	$1$		$2$	$172032$	$1.707891$	$26444015547214434625/46191222$	$0.96095$	$4.94840$	$[1, -1, 0, -558612, -160559550]$	\(y^2+xy=x^3-x^2-558612x-160559550\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(2539, 120320)]$
74382.bb1	74382v2	74382.bb	74382v	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 11 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$15.53790367$	$1$		$0$	$1032192$	$2.131538$	$26444015547214434625/46191222$	$0.96095$	$5.02783$	$[1, 1, 1, -3041333, -2042742283]$	\(y^2+xy+y=x^3+x^2-3041333x-2042742283\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(12921735/62, 37830610433/62)]$
85008.u1	85008bk2	85008.u	85008bk	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{13} \cdot 3^{4} \cdot 7^{2} \cdot 11 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$4$	$2$	$1$	$516096$	$1.851732$	$26444015547214434625/46191222$	$0.96095$	$4.67286$	$[0, -1, 0, -993088, -380585600]$	\(y^2=x^3-x^2-993088x-380585600\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[]$
116886.s1	116886k2	116886.s	116886k	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2 \cdot 3^{4} \cdot 7^{2} \cdot 11^{7} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$3.158899167$	$1$		$2$	$2580480$	$2.357533$	$26444015547214434625/46191222$	$0.96095$	$5.06549$	$[1, 0, 1, -7510231, -7922501380]$	\(y^2+xy+y=x^3-7510231x-7922501380\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(3574, 102575)]$
223146.bc1	223146de2	223146.bc	223146de	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2 \cdot 3^{10} \cdot 7^{8} \cdot 11 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$2.203123347$	$1$		$6$	$8257536$	$2.680847$	$26444015547214434625/46191222$	$0.96095$	$5.11455$	$[1, -1, 0, -27371997, 55126669639]$	\(y^2+xy=x^3-x^2-27371997x+55126669639\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(3021, -1499)]$
244398.bn1	244398bn2	244398.bn	244398bn	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \)	\( 2 \cdot 3^{4} \cdot 7^{2} \cdot 11 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$64.29999914$	$1$		$0$	$11354112$	$2.726334$	$26444015547214434625/46191222$	$0.96095$	$5.12105$	$[1, 0, 0, -32833983, -72418558509]$	\(y^2+xy=x^3-32833983x-72418558509\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(448867202096108245935079681053/6313589316692, 248454883245817996692908693883545462461720923/6313589316692)]$
255024.cp1	255024cp2	255024.cp	255024cp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{13} \cdot 3^{10} \cdot 7^{2} \cdot 11 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1.169107953$	$1$		$7$	$4128768$	$2.401039$	$26444015547214434625/46191222$	$0.96095$	$4.78998$	$[0, 0, 0, -8937795, 10284748994]$	\(y^2=x^3-8937795x+10284748994\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(1705, 1512)]$
265650.a1	265650a2	265650.a	265650a	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2 \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 11 \cdot 23^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$3.301815352$	$1$		$10$	$3096576$	$1.963305$	$26444015547214434625/46191222$	$0.96095$	$4.35376$	$[1, 1, 0, -1551700, 743331250]$	\(y^2+xy=x^3+x^2-1551700x+743331250\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(721, -257), (-1425, 8675)]$
340032.bq1	340032bq2	340032.bq	340032bq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{19} \cdot 3^{4} \cdot 7^{2} \cdot 11 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$3.100915573$	$1$		$5$	$4128768$	$2.198307$	$26444015547214434625/46191222$	$0.96095$	$4.49079$	$[0, -1, 0, -3972353, 3048657153]$	\(y^2=x^3-x^2-3972353x+3048657153\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(1144, 413)]$
340032.en1	340032en2	340032.en	340032en	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{19} \cdot 3^{4} \cdot 7^{2} \cdot 11 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$4128768$	$2.198307$	$26444015547214434625/46191222$	$0.96095$	$4.49079$	$[0, 1, 0, -3972353, -3048657153]$	\(y^2=x^3+x^2-3972353x-3048657153\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[]$
350658.df1	350658df2	350658.df	350658df	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2 \cdot 3^{10} \cdot 7^{2} \cdot 11^{7} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$6.208287745$	$1$		$0$	$20643840$	$2.906837$	$26444015547214434625/46191222$	$0.96095$	$5.14590$	$[1, -1, 1, -67592075, 213907537253]$	\(y^2+xy+y=x^3-x^2-67592075x+213907537253\)	2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.?	$[(-37713/2, 950579/2)]$