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
6699.c2	6699a2	6699.c	6699a	$4$	$4$	\( 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.6.0.1	2Cs	$26796$	$48$	$0$	$3.274103307$	$1$		$4$	$3072$	$0.579872$	$48455467135993/3635004681$	$0.88285$	$3.57692$	$[1, 1, 0, -759, 7200]$	\(y^2+xy=x^3+x^2-759x+7200\)	2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 132.24.0.?, 812.12.0.?, $\ldots$	$[(47/2, 23/2)]$
20097.c2	20097j2	20097.c	20097j	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 3^{12} \cdot 7^{2} \cdot 11^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$26796$	$48$	$0$	$1$	$1$		$2$	$24576$	$1.129177$	$48455467135993/3635004681$	$0.88285$	$3.84559$	$[1, -1, 1, -6836, -201234]$	\(y^2+xy+y=x^3-x^2-6836x-201234\)	2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 2436.24.0.?, 8932.24.0.?, $\ldots$	$[]$
46893.o2	46893i2	46893.o	46893i	$4$	$4$	\( 3 \cdot 7^{2} \cdot 11 \cdot 29 \)	\( 3^{6} \cdot 7^{8} \cdot 11^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$26796$	$48$	$0$	$3.034785139$	$1$		$4$	$147456$	$1.552826$	$48455467135993/3635004681$	$0.88285$	$4.01531$	$[1, 0, 1, -37217, -2581225]$	\(y^2+xy+y=x^3-37217x-2581225\)	2.6.0.a.1, 84.12.0.?, 116.12.0.?, 132.12.0.?, 308.12.0.?, $\ldots$	$[(1497, 56671)]$
73689.e2	73689s2	73689.e	73689s	$4$	$4$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 3^{6} \cdot 7^{2} \cdot 11^{8} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$26796$	$48$	$0$	$1$	$1$		$2$	$368640$	$1.778820$	$48455467135993/3635004681$	$0.88285$	$4.09535$	$[1, 1, 1, -91902, -10042614]$	\(y^2+xy+y=x^3+x^2-91902x-10042614\)	2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 2436.24.0.?, 8932.24.0.?, $\ldots$	$[]$
107184.cr2	107184cv2	107184.cr	107184cv	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$26796$	$48$	$0$	$1.995153589$	$1$		$9$	$196608$	$1.273020$	$48455467135993/3635004681$	$0.88285$	$3.43882$	$[0, 1, 0, -12152, -485100]$	\(y^2=x^3+x^2-12152x-485100\)	2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 132.24.0.?, 812.12.0.?, $\ldots$	$[(-74, 120)]$
140679.o2	140679i2	140679.o	140679i	$4$	$4$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \)	\( 3^{12} \cdot 7^{8} \cdot 11^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$26796$	$48$	$0$	$3.685219922$	$1$		$4$	$1179648$	$2.102135$	$48455467135993/3635004681$	$0.88285$	$4.19924$	$[1, -1, 1, -334949, 69693068]$	\(y^2+xy+y=x^3-x^2-334949x+69693068\)	2.6.0.a.1, 28.12.0-2.a.1.1, 132.12.0.?, 348.12.0.?, 924.24.0.?, $\ldots$	$[(709, 13365)]$
167475.n2	167475h2	167475.n	167475h	$4$	$4$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$133980$	$48$	$0$	$0.773257065$	$1$		$14$	$393216$	$1.384590$	$48455467135993/3635004681$	$0.88285$	$3.42254$	$[1, 0, 0, -18988, 937967]$	\(y^2+xy=x^3-18988x+937967\)	2.6.0.a.1, 60.12.0-2.a.1.1, 132.12.0.?, 220.12.0.?, 660.24.0.?, $\ldots$	$[(17, 779)]$
194271.i2	194271d2	194271.i	194271d	$4$	$4$	\( 3 \cdot 7 \cdot 11 \cdot 29^{2} \)	\( 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 29^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$26796$	$48$	$0$	$4.409217729$	$1$		$4$	$2580480$	$2.263519$	$48455467135993/3635004681$	$0.88285$	$4.24697$	$[1, 0, 0, -638757, 183264120]$	\(y^2+xy=x^3-638757x+183264120\)	2.6.0.a.1, 28.12.0-2.a.1.1, 132.12.0.?, 348.12.0.?, 924.24.0.?, $\ldots$	$[(-216, 17748)]$
221067.z2	221067y2	221067.z	221067y	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 3^{12} \cdot 7^{2} \cdot 11^{8} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$26796$	$48$	$0$	$1$	$1$		$2$	$2949120$	$2.328125$	$48455467135993/3635004681$	$0.88285$	$4.26538$	$[1, -1, 0, -827118, 270323455]$	\(y^2+xy=x^3-x^2-827118x+270323455\)	2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 132.24.0.?, 812.12.0.?, $\ldots$	$[]$
321552.bw2	321552bw2	321552.bw	321552bw	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{12} \cdot 3^{12} \cdot 7^{2} \cdot 11^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$26796$	$48$	$0$	$1.883817525$	$1$		$13$	$1572864$	$1.822325$	$48455467135993/3635004681$	$0.88285$	$3.66071$	$[0, 0, 0, -109371, 12988330]$	\(y^2=x^3-109371x+12988330\)	2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 2436.24.0.?, 8932.24.0.?, $\ldots$	$[(237, 616)]$
428736.bj2	428736bj2	428736.bj	428736bj	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{18} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$53592$	$48$	$0$	$1$	$1$		$3$	$1572864$	$1.619593$	$48455467135993/3635004681$	$0.88285$	$3.39191$	$[0, -1, 0, -48609, -3832191]$	\(y^2=x^3-x^2-48609x-3832191\)	2.6.0.a.1, 24.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, 264.24.0.?, $\ldots$	$[]$
428736.fh2	428736fh2	428736.fh	428736fh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{18} \cdot 3^{6} \cdot 7^{2} \cdot 11^{2} \cdot 29^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$53592$	$48$	$0$	$2.815794541$	$1$		$25$	$1572864$	$1.619593$	$48455467135993/3635004681$	$0.88285$	$3.39191$	$[0, 1, 0, -48609, 3832191]$	\(y^2=x^3+x^2-48609x+3832191\)	2.6.0.a.1, 24.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, 264.24.0.?, $\ldots$	$[(66, 957), (3, 1920)]$