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.t2	10626t2	10626.t	10626t	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.1	2Cs	$42504$	$48$	$0$	$1$	$1$		$2$	$6912$	$0.495766$	$10214075575873/1806590016$	$0.95954$	$3.23100$	$[1, 0, 0, -452, -3120]$	\(y^2+xy=x^3-452x-3120\)	2.6.0.a.1, 8.12.0-2.a.1.1, 132.12.0.?, 264.24.0.?, 644.12.0.?, $\ldots$	$[]$
31878.i2	31878m2	31878.i	31878m	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{6} \cdot 3^{8} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$42504$	$48$	$0$	$1.001642708$	$1$		$14$	$55296$	$1.045073$	$10214075575873/1806590016$	$0.95954$	$3.52436$	$[1, -1, 0, -4068, 84240]$	\(y^2+xy=x^3-x^2-4068x+84240\)	2.6.0.a.1, 24.12.0-2.a.1.1, 44.12.0-2.a.1.1, 264.24.0.?, 1288.12.0.?, $\ldots$	$[(-9, 351)]$
74382.w2	74382bj2	74382.w	74382bj	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2^{6} \cdot 3^{2} \cdot 7^{8} \cdot 11^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$42504$	$48$	$0$	$1.059870939$	$1$		$14$	$331776$	$1.468721$	$10214075575873/1806590016$	$0.95954$	$3.71136$	$[1, 1, 1, -22149, 1048011]$	\(y^2+xy+y=x^3+x^2-22149x+1048011\)	2.6.0.a.1, 56.12.0-2.a.1.1, 92.12.0.?, 264.12.0.?, 924.12.0.?, $\ldots$	$[(27, 672)]$
85008.ba2	85008bb2	85008.ba	85008bb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{18} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$42504$	$48$	$0$	$1$	$1$		$3$	$165888$	$1.188913$	$10214075575873/1806590016$	$0.95954$	$3.37188$	$[0, -1, 0, -7232, 199680]$	\(y^2=x^3-x^2-7232x+199680\)	2.6.0.a.1, 8.12.0-2.a.1.1, 132.12.0.?, 264.24.0.?, 644.12.0.?, $\ldots$	$[]$
116886.w2	116886p2	116886.w	116886p	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$42504$	$48$	$0$	$1$	$1$		$2$	$829440$	$1.694714$	$10214075575873/1806590016$	$0.95954$	$3.80001$	$[1, 0, 1, -54695, 4098026]$	\(y^2+xy+y=x^3-54695x+4098026\)	2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 264.24.0.?, 1288.12.0.?, $\ldots$	$[]$
223146.bu2	223146dx2	223146.bu	223146dx	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2^{6} \cdot 3^{8} \cdot 7^{8} \cdot 11^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$42504$	$48$	$0$	$3.500711224$	$1$		$4$	$2654208$	$2.018028$	$10214075575873/1806590016$	$0.95954$	$3.91552$	$[1, -1, 0, -199341, -28495643]$	\(y^2+xy=x^3-x^2-199341x-28495643\)	2.6.0.a.1, 168.12.0.?, 264.12.0.?, 276.12.0.?, 308.12.0.?, $\ldots$	$[(1242, 39859)]$
244398.bi2	244398bi2	244398.bi	244398bi	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \)	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \cdot 23^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$42504$	$48$	$0$	$1$	$1$		$2$	$3649536$	$2.063515$	$10214075575873/1806590016$	$0.95954$	$3.93081$	$[1, 0, 0, -239119, 37482809]$	\(y^2+xy=x^3-239119x+37482809\)	2.6.0.a.1, 28.12.0-2.a.1.1, 184.12.0.?, 264.12.0.?, 1288.24.0.?, $\ldots$	$[]$
255024.bd2	255024bd2	255024.bd	255024bd	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{18} \cdot 3^{8} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$42504$	$48$	$0$	$2.360775488$	$1$		$9$	$1327104$	$1.738220$	$10214075575873/1806590016$	$0.95954$	$3.60381$	$[0, 0, 0, -65091, -5326270]$	\(y^2=x^3-65091x-5326270\)	2.6.0.a.1, 24.12.0-2.a.1.1, 44.12.0-2.a.1.1, 264.24.0.?, 1288.12.0.?, $\ldots$	$[(481, 8640)]$
265650.bd2	265650bd2	265650.bd	265650bd	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$212520$	$48$	$0$	$2.417625938$	$1$		$30$	$884736$	$1.300486$	$10214075575873/1806590016$	$0.95954$	$3.17147$	$[1, 1, 0, -11300, -390000]$	\(y^2+xy=x^3+x^2-11300x-390000\)	2.6.0.a.1, 40.12.0-2.a.1.1, 264.12.0.?, 660.12.0.?, 1288.12.0.?, $\ldots$	$[(-64, 308), (125, 350)]$
340032.p2	340032p2	340032.p	340032p	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{24} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$42504$	$48$	$0$	$3.178968004$	$1$		$9$	$1327104$	$1.535486$	$10214075575873/1806590016$	$0.95954$	$3.33141$	$[0, -1, 0, -28929, -1568511]$	\(y^2=x^3-x^2-28929x-1568511\)	2.6.0.a.1, 4.12.0-2.a.1.1, 264.24.0.?, 1288.24.0.?, 21252.24.0.?, $\ldots$	$[(-96, 561)]$
340032.dy2	340032dy2	340032.dy	340032dy	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{24} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$42504$	$48$	$0$	$1$	$1$		$3$	$1327104$	$1.535486$	$10214075575873/1806590016$	$0.95954$	$3.33141$	$[0, 1, 0, -28929, 1568511]$	\(y^2=x^3+x^2-28929x+1568511\)	2.6.0.a.1, 4.12.0-2.a.1.1, 264.24.0.?, 1288.24.0.?, 21252.24.0.?, $\ldots$	$[]$
350658.cp2	350658cp2	350658.cp	350658cp	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{6} \cdot 3^{8} \cdot 7^{2} \cdot 11^{8} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$42504$	$48$	$0$	$1$	$1$		$2$	$6635520$	$2.244019$	$10214075575873/1806590016$	$0.95954$	$3.98931$	$[1, -1, 1, -492251, -110646709]$	\(y^2+xy+y=x^3-x^2-492251x-110646709\)	2.6.0.a.1, 4.12.0-2.a.1.1, 264.24.0.?, 1288.24.0.?, 21252.24.0.?, $\ldots$	$[]$