Elliptic curve search results

Results (24 matches)

  Download displayed columns for results to

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
5390.ba2	5390z1	5390.ba	5390z	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 5 \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$5376$	$0.829588$	$6128487/3520$	$1.04021$	$3.85713$	$[1, -1, 1, -1308, -1249]$	\(y^2+xy+y=x^3-x^2-1308x-1249\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[ ]$
5390.bb2	5390bh1	5390.bb	5390bh	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 5 \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$0.835782590$	$1$		$5$	$768$	$-0.143367$	$6128487/3520$	$1.04021$	$2.49831$	$[1, -1, 1, -27, 11]$	\(y^2+xy+y=x^3-x^2-27x+11\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(-1, 6)]$
26950.z2	26950u1	26950.z	26950u	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 5^{7} \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1.678325660$	$1$		$5$	$18432$	$0.661351$	$6128487/3520$	$1.04021$	$3.05074$	$[1, -1, 0, -667, 741]$	\(y^2+xy=x^3-x^2-667x+741\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(-1, 38)]$
26950.ba2	26950t1	26950.ba	26950t	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 5^{7} \cdot 7^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$2.464209490$	$1$		$3$	$129024$	$1.634306$	$6128487/3520$	$1.04021$	$4.19519$	$[1, -1, 0, -32692, -188784]$	\(y^2+xy=x^3-x^2-32692x-188784\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(-176, 388)]$
43120.bg2	43120bc1	43120.bg	43120bc	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{18} \cdot 5 \cdot 7^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$5.067048978$	$1$		$3$	$129024$	$1.522736$	$6128487/3520$	$1.04021$	$3.88497$	$[0, 0, 0, -20923, 100842]$	\(y^2=x^3-20923x+100842\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(-26, 792)]$
43120.br2	43120cj1	43120.br	43120cj	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{18} \cdot 5 \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$18432$	$0.549780$	$6128487/3520$	$1.04021$	$2.79092$	$[0, 0, 0, -427, -294]$	\(y^2=x^3-427x-294\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[ ]$
48510.h2	48510q1	48510.h	48510q	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$0.788982849$	$1$		$9$	$24576$	$0.405939$	$6128487/3520$	$1.04021$	$2.60047$	$[1, -1, 0, -240, -64]$	\(y^2+xy=x^3-x^2-240x-64\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(-8, 40)]$
48510.bf2	48510bj1	48510.bf	48510bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{6} \cdot 5 \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$172032$	$1.378895$	$6128487/3520$	$1.04021$	$3.68258$	$[1, -1, 0, -11769, 45485]$	\(y^2+xy=x^3-x^2-11769x+45485\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[ ]$
59290.z2	59290h1	59290.z	59290h	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{6} \cdot 5 \cdot 7^{9} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$6.229519725$	$1$		$3$	$645120$	$2.028534$	$6128487/3520$	$1.04021$	$4.32467$	$[1, -1, 0, -158230, 2136756]$	\(y^2+xy=x^3-x^2-158230x+2136756\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(-235, 5246)]$
59290.bg2	59290bp1	59290.bg	59290bp	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{6} \cdot 5 \cdot 7^{3} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.055580$	$6128487/3520$	$1.04021$	$3.26232$	$[1, -1, 0, -3229, -5307]$	\(y^2+xy=x^3-x^2-3229x-5307\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[ ]$
172480.cz2	172480gg1	172480.cz	172480gg	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{24} \cdot 5 \cdot 7^{3} \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$6.859271777$	$1$		$7$	$147456$	$0.896354$	$6128487/3520$	$1.04021$	$2.81496$	$[0, 0, 0, -1708, 2352]$	\(y^2=x^3-1708x+2352\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(-28, 168), (84, 672)]$
172480.dj2	172480cc1	172480.dj	172480cc	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{24} \cdot 5 \cdot 7^{3} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$147456$	$0.896354$	$6128487/3520$	$1.04021$	$2.81496$	$[0, 0, 0, -1708, -2352]$	\(y^2=x^3-1708x-2352\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[ ]$
172480.eb2	172480ga1	172480.eb	172480ga	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{24} \cdot 5 \cdot 7^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$12.06100127$	$1$		$1$	$1032192$	$1.869308$	$6128487/3520$	$1.04021$	$3.78323$	$[0, 0, 0, -83692, -806736]$	\(y^2=x^3-83692x-806736\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(3541750/53, 6486211584/53)]$
172480.er2	172480bq1	172480.er	172480bq	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{24} \cdot 5 \cdot 7^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$13.59332539$	$1$		$1$	$1032192$	$1.869308$	$6128487/3520$	$1.04021$	$3.78323$	$[0, 0, 0, -83692, 806736]$	\(y^2=x^3-83692x+806736\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(-542615/44, 127678389/44)]$
215600.dl2	215600dj1	215600.dl	215600dj	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{18} \cdot 5^{7} \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$2.943828998$	$1$		$5$	$442368$	$1.354498$	$6128487/3520$	$1.04021$	$3.21147$	$[0, 0, 0, -10675, -36750]$	\(y^2=x^3-10675x-36750\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(169, 1728)]$
215600.dm2	215600dk1	215600.dm	215600dk	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{18} \cdot 5^{7} \cdot 7^{9} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$3.016605791$	$1$		$5$	$3096576$	$2.327454$	$6128487/3520$	$1.04021$	$4.16214$	$[0, 0, 0, -523075, 12605250]$	\(y^2=x^3-523075x+12605250\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(-49, 6174)]$
242550.iw2	242550iw1	242550.iw	242550iw	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$0.739750272$	$1$		$27$	$589824$	$1.210657$	$6128487/3520$	$1.04021$	$3.04175$	$[1, -1, 1, -6005, -14003]$	\(y^2+xy+y=x^3-x^2-6005x-14003\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(-61, 380), (139, 1280)]$
242550.kg2	242550kg1	242550.kg	242550kg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{7} \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$4128768$	$2.183613$	$6128487/3520$	$1.04021$	$3.98339$	$[1, -1, 1, -294230, 5391397]$	\(y^2+xy+y=x^3-x^2-294230x+5391397\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[ ]$
296450.ib2	296450ib1	296450.ib	296450ib	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{6} \cdot 5^{7} \cdot 7^{9} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$15482880$	$2.833256$	$6128487/3520$	$1.04021$	$4.53868$	$[1, -1, 1, -3955755, 263138747]$	\(y^2+xy+y=x^3-x^2-3955755x+263138747\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[ ]$
296450.il2	296450il1	296450.il	296450il	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	\( 2^{6} \cdot 5^{7} \cdot 7^{3} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$2211840$	$1.860300$	$6128487/3520$	$1.04021$	$3.61202$	$[1, -1, 1, -80730, -744103]$	\(y^2+xy+y=x^3-x^2-80730x-744103\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[ ]$
388080.gp2	388080gp1	388080.gp	388080gp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{18} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1.707496026$	$1$		$7$	$589824$	$1.099087$	$6128487/3520$	$1.04021$	$2.82662$	$[0, 0, 0, -3843, 7938]$	\(y^2=x^3-3843x+7938\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(1, 64)]$
388080.mr2	388080mr1	388080.mr	388080mr	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{18} \cdot 3^{6} \cdot 5 \cdot 7^{9} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$4128768$	$2.072041$	$6128487/3520$	$1.04021$	$3.73387$	$[0, 0, 0, -188307, -2722734]$	\(y^2=x^3-188307x-2722734\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[ ]$
474320.em2	474320em1	474320.em	474320em	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{18} \cdot 5 \cdot 7^{9} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$		$1$	$15482880$	$2.721684$	$6128487/3520$	$1.04021$	$4.27302$	$[0, 0, 0, -2531683, -134220702]$	\(y^2=x^3-2531683x-134220702\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[ ]$
474320.fi2	474320fi1	474320.fi	474320fi	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{18} \cdot 5 \cdot 7^{3} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3080$	$12$	$0$	$3.235792866$	$1$		$5$	$2211840$	$1.748728$	$6128487/3520$	$1.04021$	$3.37969$	$[0, 0, 0, -51667, 391314]$	\(y^2=x^3-51667x+391314\)	2.3.0.a.1, 56.6.0.d.1, 440.6.0.?, 770.6.0.?, 3080.12.0.?	$[(-110, 2178)]$

  Download displayed columns for results to