Elliptic curve search results

Results (17 matches)

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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
2431.c2	2431c2	2431.c	2431c	$2$	$2$	\( 11 \cdot 13 \cdot 17 \)	\( - 11^{4} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$0$	$896$	$0.165367$	$2053225511/55006237$	$0.86086$	$3.23957$	$[1, 0, 1, 26, -351]$	\(y^2+xy+y=x^3+26x-351\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[ ]$
21879.a2	21879i2	21879.a	21879i	$2$	$2$	\( 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 3^{6} \cdot 11^{4} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1.227474025$	$1$		$4$	$21504$	$0.714674$	$2053225511/55006237$	$0.86086$	$3.18689$	$[1, -1, 1, 238, 9470]$	\(y^2+xy+y=x^3-x^2+238x+9470\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[(13, 114)]$
26741.b2	26741c2	26741.b	26741c	$2$	$2$	\( 11^{2} \cdot 13 \cdot 17 \)	\( - 11^{10} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$0$	$107520$	$1.364315$	$2053225511/55006237$	$0.86086$	$3.88889$	$[1, 0, 0, 3204, 470053]$	\(y^2+xy=x^3+3204x+470053\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[ ]$
31603.c2	31603g2	31603.c	31603g	$2$	$2$	\( 11 \cdot 13^{2} \cdot 17 \)	\( - 11^{4} \cdot 13^{7} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$2.607592165$	$1$		$14$	$150528$	$1.447842$	$2053225511/55006237$	$0.86086$	$3.92293$	$[1, 0, 0, 4475, -775074]$	\(y^2+xy=x^3+4475x-775074\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[(469, 9990), (841/3, 17075/3)]$
38896.m2	38896i2	38896.m	38896i	$2$	$2$	\( 2^{4} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 11^{4} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$4$	$2$	$1$	$57344$	$0.858515$	$2053225511/55006237$	$0.86086$	$3.17672$	$[0, -1, 0, 424, 22448]$	\(y^2=x^3-x^2+424x+22448\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[ ]$
41327.n2	41327f2	41327.n	41327f	$2$	$2$	\( 11 \cdot 13 \cdot 17^{2} \)	\( - 11^{4} \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$4$	$2$	$0$	$258048$	$1.581974$	$2053225511/55006237$	$0.86086$	$3.97535$	$[1, 1, 0, 7653, -1730890]$	\(y^2+xy=x^3+x^2+7653x-1730890\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[ ]$
60775.i2	60775h2	60775.i	60775h	$2$	$2$	\( 5^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 5^{6} \cdot 11^{4} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$0$	$71680$	$0.970086$	$2053225511/55006237$	$0.86086$	$3.16956$	$[1, 1, 1, 662, -43844]$	\(y^2+xy+y=x^3+x^2+662x-43844\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[ ]$
119119.l2	119119h2	119119.l	119119h	$2$	$2$	\( 7^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 7^{6} \cdot 11^{4} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1.395801754$	$1$		$2$	$344064$	$1.138323$	$2053225511/55006237$	$0.86086$	$3.15980$	$[1, 1, 0, 1298, 121605]$	\(y^2+xy=x^3+x^2+1298x+121605\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[(132, 1551)]$
155584.a2	155584a2	155584.a	155584a	$2$	$2$	\( 2^{6} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 11^{4} \cdot 13 \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1.702984341$	$1$		$19$	$458752$	$1.205088$	$2053225511/55006237$	$0.86086$	$3.15623$	$[0, 1, 0, 1695, 181279]$	\(y^2=x^3+x^2+1695x+181279\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[(-25, 352), (127/3, 12320/3)]$
155584.bc2	155584bf2	155584.bc	155584bf	$2$	$2$	\( 2^{6} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 11^{4} \cdot 13 \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$20.04386174$	$1$		$3$	$458752$	$1.205088$	$2053225511/55006237$	$0.86086$	$3.15623$	$[0, -1, 0, 1695, -181279]$	\(y^2=x^3-x^2+1695x-181279\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[(659, 16932), (341/2, 6069/2)]$
240669.u2	240669u2	240669.u	240669u	$2$	$2$	\( 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 3^{6} \cdot 11^{10} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$0$	$2580480$	$1.913622$	$2053225511/55006237$	$0.86086$	$3.73127$	$[1, -1, 0, 28836, -12691431]$	\(y^2+xy=x^3-x^2+28836x-12691431\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[ ]$
284427.bt2	284427bt2	284427.bt	284427bt	$2$	$2$	\( 3^{2} \cdot 11 \cdot 13^{2} \cdot 17 \)	\( - 3^{6} \cdot 11^{4} \cdot 13^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$3.570959518$	$1$		$0$	$3612672$	$1.997149$	$2053225511/55006237$	$0.86086$	$3.76145$	$[1, -1, 0, 40275, 20926998]$	\(y^2+xy=x^3-x^2+40275x+20926998\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[(7786/3, 704036/3)]$
347633.r2	347633r2	347633.r	347633r	$2$	$2$	\( 11^{2} \cdot 13^{2} \cdot 17 \)	\( - 11^{10} \cdot 13^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$0$	$18063360$	$2.646790$	$2053225511/55006237$	$0.86086$	$4.31329$	$[1, 0, 1, 541472, 1032164967]$	\(y^2+xy+y=x^3+541472x+1032164967\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[ ]$
350064.d2	350064d2	350064.d	350064d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{6} \cdot 11^{4} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$2.428084335$	$1$		$5$	$1376256$	$1.407822$	$2053225511/55006237$	$0.86086$	$3.14630$	$[0, 0, 0, 3813, -609910]$	\(y^2=x^3+3813x-609910\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[(191, 2662)]$
371943.r2	371943r2	371943.r	371943r	$2$	$2$	\( 3^{2} \cdot 11 \cdot 13 \cdot 17^{2} \)	\( - 3^{6} \cdot 11^{4} \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$0$	$6193152$	$2.131279$	$2053225511/55006237$	$0.86086$	$3.80827$	$[1, -1, 1, 68872, 46802904]$	\(y^2+xy+y=x^3-x^2+68872x+46802904\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[ ]$
427856.bk2	427856bk2	427856.bk	427856bk	$2$	$2$	\( 2^{4} \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 11^{10} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$34.09270699$	$1$		$1$	$6881280$	$2.057461$	$2053225511/55006237$	$0.86086$	$3.69883$	$[0, -1, 0, 51264, -30083392]$	\(y^2=x^3-x^2+51264x-30083392\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[(1280246401086226/13245, 45807892968987785676826/13245)]$
454597.j2	454597j2	454597.j	454597j	$2$	$2$	\( 11^{2} \cdot 13 \cdot 17^{2} \)	\( - 11^{10} \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$884$	$12$	$0$	$1$	$1$		$0$	$30965760$	$2.780922$	$2053225511/55006237$	$0.86086$	$4.34803$	$[1, 1, 1, 925950, 2308444436]$	\(y^2+xy+y=x^3+x^2+925950x+2308444436\)	2.3.0.a.1, 52.6.0.a.1, 68.6.0.c.1, 884.12.0.?	$[ ]$

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