Elliptic curve search results

Results (18 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
12696.p1	12696s2	12696.p	12696s	$2$	$2$	\( 2^{3} \cdot 3 \cdot 23^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 23^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1.257113564$	$1$		$17$	$46080$	$1.364647$	$15043017316604/243$	$1.05335$	$4.94017$	$[0, 1, 0, -119224, 15805376]$	\(y^2=x^3+x^2-119224x+15805376\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[(200, 24), (215, 396)]$
12696.s1	12696p2	12696.s	12696p	$2$	$2$	\( 2^{3} \cdot 3 \cdot 23^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$16$	$2$	$1$	$1059840$	$2.932392$	$15043017316604/243$	$1.05335$	$6.93116$	$[0, 1, 0, -63069672, -192808566720]$	\(y^2=x^3+x^2-63069672x-192808566720\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[]$
25392.b1	25392d2	25392.b	25392d	$2$	$2$	\( 2^{4} \cdot 3 \cdot 23^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.364647$	$15043017316604/243$	$1.05335$	$4.60255$	$[0, -1, 0, -119224, -15805376]$	\(y^2=x^3-x^2-119224x-15805376\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[]$
25392.h1	25392a2	25392.h	25392a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 23^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$2119680$	$2.932392$	$15043017316604/243$	$1.05335$	$6.45747$	$[0, -1, 0, -63069672, 192808566720]$	\(y^2=x^3-x^2-63069672x+192808566720\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[]$
38088.j1	38088l2	38088.j	38088l	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 23^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 23^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$17.34781740$	$1$		$1$	$8478720$	$3.481701$	$15043017316604/243$	$1.05335$	$6.83418$	$[0, 0, 0, -567627051, 5205263674390]$	\(y^2=x^3-567627051x+5205263674390\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[(184255418/91, 1428022701468/91)]$
38088.v1	38088e2	38088.v	38088e	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 23^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$21.55874997$	$1$		$1$	$368640$	$1.913952$	$15043017316604/243$	$1.05335$	$5.05056$	$[0, 0, 0, -1073019, -427818170]$	\(y^2=x^3-1073019x-427818170\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[(4751979002/1903, 141832590721020/1903)]$
76176.l1	76176v2	76176.l	76176v	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 23^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 23^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$14.55679288$	$1$		$1$	$16957440$	$3.481701$	$15043017316604/243$	$1.05335$	$6.41276$	$[0, 0, 0, -567627051, -5205263674390]$	\(y^2=x^3-567627051x-5205263674390\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[(51476617/37, 261318845304/37)]$
76176.cd1	76176j2	76176.cd	76176j	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 23^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1.650178957$	$1$		$3$	$737280$	$1.913952$	$15043017316604/243$	$1.05335$	$4.73912$	$[0, 0, 0, -1073019, 427818170]$	\(y^2=x^3-1073019x+427818170\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[(673, 3240)]$
101568.n1	101568l2	101568.n	101568l	$2$	$2$	\( 2^{6} \cdot 3 \cdot 23^{2} \)	\( 2^{16} \cdot 3^{5} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$36$	$2, 3$	$1$	$16957440$	$3.278965$	$15043017316604/243$	$1.05335$	$6.04171$	$[0, -1, 0, -252278689, -1542216255071]$	\(y^2=x^3-x^2-252278689x-1542216255071\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[]$
101568.bh1	101568i2	101568.bh	101568i	$2$	$2$	\( 2^{6} \cdot 3 \cdot 23^{2} \)	\( 2^{16} \cdot 3^{5} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$4$	$2$	$1$	$737280$	$1.711220$	$15043017316604/243$	$1.05335$	$4.40984$	$[0, -1, 0, -476897, 126919905]$	\(y^2=x^3-x^2-476897x+126919905\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[]$
101568.cb1	101568do2	101568.cb	101568do	$2$	$2$	\( 2^{6} \cdot 3 \cdot 23^{2} \)	\( 2^{16} \cdot 3^{5} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$4$	$2$	$1$	$16957440$	$3.278965$	$15043017316604/243$	$1.05335$	$6.04171$	$[0, 1, 0, -252278689, 1542216255071]$	\(y^2=x^3+x^2-252278689x+1542216255071\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[]$
101568.dk1	101568dl2	101568.dk	101568dl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 23^{2} \)	\( 2^{16} \cdot 3^{5} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$4$	$2$	$1$	$737280$	$1.711220$	$15043017316604/243$	$1.05335$	$4.40984$	$[0, 1, 0, -476897, -126919905]$	\(y^2=x^3+x^2-476897x-126919905\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[]$
304704.y1	304704y2	304704.y	304704y	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 23^{2} \)	\( 2^{16} \cdot 3^{11} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$16.52896078$	$1$		$1$	$5898240$	$2.260525$	$15043017316604/243$	$1.05335$	$4.54819$	$[0, 0, 0, -4292076, -3422545360]$	\(y^2=x^3-4292076x-3422545360\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[(26276260/57, 129747236840/57)]$
304704.bz1	304704bz2	304704.bz	304704bz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 23^{2} \)	\( 2^{16} \cdot 3^{11} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$4$	$2$	$1$	$5898240$	$2.260525$	$15043017316604/243$	$1.05335$	$4.54819$	$[0, 0, 0, -4292076, 3422545360]$	\(y^2=x^3-4292076x+3422545360\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[]$
304704.en1	304704en2	304704.en	304704en	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 23^{2} \)	\( 2^{16} \cdot 3^{11} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$4$	$2$	$1$	$135659520$	$3.828274$	$15043017316604/243$	$1.05335$	$6.03808$	$[0, 0, 0, -2270508204, -41642109395120]$	\(y^2=x^3-2270508204x-41642109395120\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[]$
304704.fs1	304704fs2	304704.fs	304704fs	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 23^{2} \)	\( 2^{16} \cdot 3^{11} \cdot 23^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$34.73126211$	$1$		$1$	$135659520$	$3.828274$	$15043017316604/243$	$1.05335$	$6.03808$	$[0, 0, 0, -2270508204, 41642109395120]$	\(y^2=x^3-2270508204x+41642109395120\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[(70288893463384244/1597655, 31018329095273180110528/1597655)]$
317400.l1	317400l2	317400.l	317400l	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 23^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$25$	$5$	$1$	$135659520$	$3.737114$	$15043017316604/243$	$1.05335$	$5.93227$	$[0, -1, 0, -1576741808, -24097917356388]$	\(y^2=x^3-x^2-1576741808x-24097917356388\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[]$
317400.v1	317400v2	317400.v	317400v	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 23^{2} \)	\( 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$276$	$12$	$0$	$1$	$1$		$1$	$5898240$	$2.169365$	$15043017316604/243$	$1.05335$	$4.44718$	$[0, -1, 0, -2980608, 1981633212]$	\(y^2=x^3-x^2-2980608x+1981633212\)	2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?	$[]$