Elliptic curves over $\Q$ of conductor 2093

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
2093.a1	2093e1	2093.a	2093e	$1$	$1$	\( 7 \cdot 13 \cdot 23 \)	\( - 7^{2} \cdot 13 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$598$	$2$	$0$	$0.131862755$	$1$		$8$	$272$	$-0.306992$	$-8390176768/14651$	$0.79115$	$2.98879$	$[0, -1, 1, -42, 120]$	\(y^2+y=x^3-x^2-42x+120\)	598.2.0.?	$[(3, 3)]$
2093.b1	2093i1	2093.b	2093i	$1$	$1$	\( 7 \cdot 13 \cdot 23 \)	\( - 7^{2} \cdot 13 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$598$	$2$	$0$	$0.397636118$	$1$		$6$	$192$	$-0.521705$	$-4096/14651$	$0.81149$	$2.22945$	$[0, -1, 1, 0, -6]$	\(y^2+y=x^3-x^2-6\)	598.2.0.?	$[(3, 3)]$
2093.c1	2093a1	2093.c	2093a	$1$	$1$	\( 7 \cdot 13 \cdot 23 \)	\( - 7^{2} \cdot 13^{5} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$598$	$2$	$0$	$1$	$1$		$0$	$7440$	$0.880263$	$-396870925750272/221358574619$	$0.94021$	$4.48443$	$[0, 0, 1, -1531, -32312]$	\(y^2+y=x^3-1531x-32312\)	598.2.0.?	$[]$
2093.d1	2093d2	2093.d	2093d	$2$	$2$	\( 7 \cdot 13 \cdot 23 \)	\( 7^{2} \cdot 13^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$0$	$480$	$0.145152$	$104154702625/32188247$	$0.84011$	$3.31781$	$[1, 1, 1, -98, -296]$	\(y^2+xy+y=x^3+x^2-98x-296\)	2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.?	$[]$
2093.d2	2093d1	2093.d	2093d	$2$	$2$	\( 7 \cdot 13 \cdot 23 \)	\( - 7 \cdot 13^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$240$	$-0.201422$	$541343375/625807$	$0.79411$	$2.62995$	$[1, 1, 1, 17, -20]$	\(y^2+xy+y=x^3+x^2+17x-20\)	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[]$
2093.e1	2093h2	2093.e	2093h	$2$	$3$	\( 7 \cdot 13 \cdot 23 \)	\( 7^{3} \cdot 13 \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$12558$	$16$	$0$	$0.609544000$	$1$		$4$	$648$	$0.354906$	$18736316416000/54252653$	$0.92107$	$3.99687$	$[0, 1, 1, -553, -5182]$	\(y^2+y=x^3+x^2-553x-5182\)	3.8.0-3.a.1.1, 4186.2.0.?, 12558.16.0.?	$[(-14, 3)]$
2093.e2	2093h1	2093.e	2093h	$2$	$3$	\( 7 \cdot 13 \cdot 23 \)	\( 7 \cdot 13^{3} \cdot 23 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$12558$	$16$	$0$	$1.828632000$	$1$		$4$	$216$	$-0.194400$	$4096000000/353717$	$0.90079$	$2.89462$	$[0, 1, 1, -33, 57]$	\(y^2+y=x^3+x^2-33x+57\)	3.8.0-3.a.1.2, 4186.2.0.?, 12558.16.0.?	$[(-1, 9)]$
2093.f1	2093c1	2093.f	2093c	$1$	$1$	\( 7 \cdot 13 \cdot 23 \)	\( - 7^{2} \cdot 13 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$598$	$2$	$0$	$0.312570886$	$1$		$4$	$112$	$-0.503363$	$-16777216/14651$	$0.83021$	$2.29592$	$[0, -1, 1, -5, 9]$	\(y^2+y=x^3-x^2-5x+9\)	598.2.0.?	$[(-1, 3)]$
2093.g1	2093g1	2093.g	2093g	$2$	$3$	\( 7 \cdot 13 \cdot 23 \)	\( - 7^{4} \cdot 13^{3} \cdot 23 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$1794$	$16$	$0$	$1.504316384$	$1$		$6$	$3456$	$1.109547$	$-9221261135586623488/121324931$	$0.98079$	$5.71096$	$[0, 1, 1, -43687, 3500082]$	\(y^2+y=x^3+x^2-43687x+3500082\)	3.8.0-3.a.1.2, 598.2.0.?, 1794.16.0.?	$[(42, 1319)]$
2093.g2	2093g2	2093.g	2093g	$2$	$3$	\( 7 \cdot 13 \cdot 23 \)	\( - 7^{12} \cdot 13 \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$1794$	$16$	$0$	$0.501438794$	$1$		$4$	$10368$	$1.658854$	$-7743965038771437568/2189290237869371$	$1.00225$	$5.74015$	$[0, 1, 1, -41217, 3915835]$	\(y^2+y=x^3+x^2-41217x+3915835\)	3.8.0-3.a.1.1, 598.2.0.?, 1794.16.0.?	$[(439, 8403)]$
2093.h1	2093f3	2093.h	2093f	$3$	$9$	\( 7 \cdot 13 \cdot 23 \)	\( - 7^{4} \cdot 13 \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.3	3B.1.2	$37674$	$144$	$3$	$22.15637950$	$1$		$0$	$69984$	$2.618320$	$-360675992659311050823073792/56219378022244619$	$1.03901$	$7.99728$	$[0, 1, 1, -14829659, -21985816061]$	\(y^2+y=x^3+x^2-14829659x-21985816061\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 63.72.0-63.e.2.2, 598.2.0.?, 1794.16.0.?, $\ldots$	$[(14674995661/1230, 1608233748263209/1230)]$
2093.h2	2093f2	2093.h	2093f	$3$	$9$	\( 7 \cdot 13 \cdot 23 \)	\( - 7^{12} \cdot 13^{3} \cdot 23^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$37674$	$144$	$3$	$7.385459835$	$1$		$4$	$23328$	$2.069016$	$-449167881463536812032/369990050199923699$	$1.03999$	$6.33493$	$[0, 1, 1, -159549, -38239046]$	\(y^2+y=x^3+x^2-159549x-38239046\)	3.24.0-3.a.1.1, 63.72.0-63.b.1.3, 598.2.0.?, 1794.48.1.?, 37674.144.3.?	$[(9346, 902723)]$
2093.h3	2093f1	2093.h	2093f	$3$	$9$	\( 7 \cdot 13 \cdot 23 \)	\( - 7^{4} \cdot 13^{9} \cdot 23 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$37674$	$144$	$3$	$2.461819945$	$1$		$4$	$7776$	$1.519709$	$471114356703100928/585612268875179$	$1.02226$	$5.34004$	$[0, 1, 1, 16211, 856569]$	\(y^2+y=x^3+x^2+16211x+856569\)	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 63.72.0-63.e.1.2, 598.2.0.?, 1794.16.0.?, $\ldots$	$[(411, 8781)]$
2093.i1	2093b1	2093.i	2093b	$1$	$1$	\( 7 \cdot 13 \cdot 23 \)	\( 7^{11} \cdot 13 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4186$	$2$	$0$	$1$	$1$		$0$	$4136$	$0.990367$	$5054443262672896/591220696157$	$0.94361$	$4.72893$	$[0, -1, 1, -3575, 74692]$	\(y^2+y=x^3-x^2-3575x+74692\)	4186.2.0.?	$[]$
2093.j1	2093j1	2093.j	2093j	$1$	$1$	\( 7 \cdot 13 \cdot 23 \)	\( 7^{5} \cdot 13 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4186$	$2$	$0$	$1$	$1$		$0$	$760$	$0.116009$	$670381355008/5025293$	$0.84600$	$3.56132$	$[0, -1, 1, -182, -881]$	\(y^2+y=x^3-x^2-182x-881\)	4186.2.0.?	$[]$