Elliptic curve search results

Results (15 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
6630.a2	6630c2	6630.a	6630c	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.1	2Cs	$8840$	$48$	$0$	$0.997927869$	$1$		$36$	$4096$	$0.355002$	$1319778683209/395612100$	$0.88063$	$3.17165$	$[1, 1, 0, -228, 828]$	\(y^2+xy=x^3+x^2-228x+828\)	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 104.24.0.?, 340.12.0.?, $\ldots$	$[(-6, 48), (3, 12)]$
19890.bc2	19890bd2	19890.bc	19890bd	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$26520$	$48$	$0$	$1$	$1$		$2$	$32768$	$0.904308$	$1319778683209/395612100$	$0.88063$	$3.48558$	$[1, -1, 1, -2057, -24411]$	\(y^2+xy+y=x^3-x^2-2057x-24411\)	2.6.0.a.1, 24.12.0-2.a.1.1, 104.12.0.?, 156.12.0.?, 312.24.0.?, $\ldots$	$[]$
33150.ck2	33150cb2	33150.ck	33150cb	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{8} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$8840$	$48$	$0$	$1$	$1$		$2$	$98304$	$1.159721$	$1319778683209/395612100$	$0.88063$	$3.60898$	$[1, 0, 0, -5713, 114917]$	\(y^2+xy=x^3-5713x+114917\)	2.6.0.a.1, 40.12.0-2.a.1.1, 68.12.0-2.a.1.1, 104.12.0.?, 260.12.0.?, $\ldots$	$[]$
53040.cd2	53040cl2	53040.cd	53040cl	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$8840$	$48$	$0$	$1$	$1$		$3$	$98304$	$1.048149$	$1319778683209/395612100$	$0.88063$	$3.32999$	$[0, 1, 0, -3656, -60300]$	\(y^2=x^3+x^2-3656x-60300\)	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 104.24.0.?, 340.12.0.?, $\ldots$	$[]$
86190.ch2	86190ce2	86190.ch	86190ce	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$8840$	$48$	$0$	$1$	$4$	$2$	$2$	$688128$	$1.637478$	$1319778683209/395612100$	$0.88063$	$3.81001$	$[1, 1, 1, -38620, 2012057]$	\(y^2+xy+y=x^3+x^2-38620x+2012057\)	2.6.0.a.1, 4.12.0-2.a.1.1, 104.24.0.?, 680.24.0.?, 4420.24.0.?, $\ldots$	$[]$
99450.bw2	99450bk2	99450.bw	99450bk	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{10} \cdot 5^{8} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$26520$	$48$	$0$	$1$	$1$		$2$	$786432$	$1.709028$	$1319778683209/395612100$	$0.88063$	$3.83725$	$[1, -1, 0, -51417, -3102759]$	\(y^2+xy=x^3-x^2-51417x-3102759\)	2.6.0.a.1, 104.12.0.?, 120.12.0.?, 204.12.0.?, 680.12.0.?, $\ldots$	$[]$
112710.bq2	112710bl2	112710.bq	112710bl	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$8840$	$48$	$0$	$2.919657953$	$1$		$6$	$1179648$	$1.771608$	$1319778683209/395612100$	$0.88063$	$3.86052$	$[1, 0, 1, -66043, 4529906]$	\(y^2+xy+y=x^3-66043x+4529906\)	2.6.0.a.1, 20.12.0-2.a.1.1, 104.12.0.?, 136.12.0.?, 520.24.0.?, $\ldots$	$[(-78, 3073)]$
159120.eh2	159120x2	159120.eh	159120x	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$26520$	$48$	$0$	$1$	$1$		$3$	$786432$	$1.597456$	$1319778683209/395612100$	$0.88063$	$3.57489$	$[0, 0, 0, -32907, 1595194]$	\(y^2=x^3-32907x+1595194\)	2.6.0.a.1, 24.12.0-2.a.1.1, 104.12.0.?, 156.12.0.?, 312.24.0.?, $\ldots$	$[]$
212160.dm2	212160cw2	212160.dm	212160cw	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{20} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$8840$	$48$	$0$	$4.342943187$	$1$		$5$	$786432$	$1.394724$	$1319778683209/395612100$	$0.88063$	$3.29269$	$[0, -1, 0, -14625, -467775]$	\(y^2=x^3-x^2-14625x-467775\)	2.6.0.a.1, 4.12.0-2.a.1.1, 104.24.0.?, 680.24.0.?, 4420.24.0.?, $\ldots$	$[(1175, 40040)]$
212160.gh2	212160eh2	212160.gh	212160eh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{20} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$8840$	$48$	$0$	$2.234577831$	$1$		$9$	$786432$	$1.394724$	$1319778683209/395612100$	$0.88063$	$3.29269$	$[0, 1, 0, -14625, 467775]$	\(y^2=x^3+x^2-14625x+467775\)	2.6.0.a.1, 4.12.0-2.a.1.1, 104.24.0.?, 680.24.0.?, 4420.24.0.?, $\ldots$	$[(18, 459)]$
258570.bm2	258570bm2	258570.bm	258570bm	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$26520$	$48$	$0$	$1$	$1$		$2$	$5505024$	$2.186783$	$1319778683209/395612100$	$0.88063$	$4.00306$	$[1, -1, 0, -347580, -54673124]$	\(y^2+xy=x^3-x^2-347580x-54673124\)	2.6.0.a.1, 12.12.0-2.a.1.1, 104.12.0.?, 312.24.0.?, 680.12.0.?, $\ldots$	$[]$
265200.j2	265200j2	265200.j	265200j	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{8} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$8840$	$48$	$0$	$2.749977246$	$1$		$9$	$2359296$	$1.852869$	$1319778683209/395612100$	$0.88063$	$3.67409$	$[0, -1, 0, -91408, -7354688]$	\(y^2=x^3-x^2-91408x-7354688\)	2.6.0.a.1, 40.12.0-2.a.1.1, 68.12.0-2.a.1.1, 104.12.0.?, 260.12.0.?, $\ldots$	$[(402, 4550)]$
324870.cm2	324870cm2	324870.cm	324870cm	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$61880$	$48$	$0$	$1.043447992$	$1$		$12$	$1179648$	$1.327957$	$1319778683209/395612100$	$0.88063$	$3.11901$	$[1, 0, 1, -11198, -317572]$	\(y^2+xy+y=x^3-11198x-317572\)	2.6.0.a.1, 56.12.0-2.a.1.1, 104.12.0.?, 364.12.0.?, 680.12.0.?, $\ldots$	$[(-66, 400)]$
338130.dc2	338130dc2	338130.dc	338130dc	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 13^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$26520$	$48$	$0$	$9.427101196$	$1$		$2$	$9437184$	$2.320915$	$1319778683209/395612100$	$0.88063$	$4.04514$	$[1, -1, 1, -594383, -122307469]$	\(y^2+xy+y=x^3-x^2-594383x-122307469\)	2.6.0.a.1, 60.12.0-2.a.1.1, 104.12.0.?, 408.12.0.?, 680.12.0.?, $\ldots$	$[(-124905/23, 28170044/23)]$
430950.cl2	430950cl2	430950.cl	430950cl	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{4} \cdot 5^{8} \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$8840$	$48$	$0$	$1$	$1$		$2$	$16515072$	$2.442196$	$1319778683209/395612100$	$0.88063$	$4.08169$	$[1, 0, 1, -965501, 253438148]$	\(y^2+xy+y=x^3-965501x+253438148\)	2.6.0.a.1, 20.12.0-2.a.1.1, 104.12.0.?, 136.12.0.?, 520.24.0.?, $\ldots$	$[]$