Elliptic curve search results

Results (8 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
47190.t2	47190bd1	47190.t	47190bd	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{15} \cdot 5^{6} \cdot 11^{8} \cdot 13^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$312$	$16$	$0$	$1$	$1$		$2$	$8553600$	$3.160431$	$557820238477845431/985142146218750$	$1.00005$	$5.64626$	$[1, 0, 1, 10263701, -18127813684]$	\(y^2+xy+y=x^3+10263701x-18127813684\)	3.8.0-3.a.1.2, 312.16.0.?	$[]$
47190.cq2	47190cl1	47190.cq	47190cl	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{15} \cdot 5^{6} \cdot 11^{2} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3432$	$16$	$0$	$1$	$1$		$0$	$777600$	$1.961483$	$557820238477845431/985142146218750$	$1.00005$	$4.30938$	$[1, 0, 0, 84824, 13627406]$	\(y^2+xy=x^3+84824x+13627406\)	3.4.0.a.1, 33.8.0-3.a.1.2, 312.8.0.?, 3432.16.0.?	$[]$
141570.cj2	141570dj1	141570.cj	141570dj	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{21} \cdot 5^{6} \cdot 11^{2} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3432$	$16$	$0$	$1$	$1$		$0$	$6220800$	$2.510788$	$557820238477845431/985142146218750$	$1.00005$	$4.46598$	$[1, -1, 0, 763416, -367939962]$	\(y^2+xy=x^3-x^2+763416x-367939962\)	3.4.0.a.1, 33.8.0-3.a.1.1, 312.8.0.?, 3432.16.0.?	$[]$
141570.dx2	141570b1	141570.dx	141570b	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{21} \cdot 5^{6} \cdot 11^{8} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$312$	$16$	$0$	$1$	$1$		$0$	$68428800$	$3.709736$	$557820238477845431/985142146218750$	$1.00005$	$5.67902$	$[1, -1, 1, 92373313, 489450969461]$	\(y^2+xy+y=x^3-x^2+92373313x+489450969461\)	3.8.0-3.a.1.1, 312.16.0.?	$[]$
235950.g2	235950g1	235950.g	235950g	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{15} \cdot 5^{12} \cdot 11^{2} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$17160$	$16$	$0$	$5.803375200$	$1$		$0$	$18662400$	$2.766201$	$557820238477845431/985142146218750$	$1.00005$	$4.52932$	$[1, 1, 0, 2120600, 1703425750]$	\(y^2+xy=x^3+x^2+2120600x+1703425750\)	3.4.0.a.1, 165.8.0.?, 312.8.0.?, 17160.16.0.?	$[(2955/2, 481945/2)]$
235950.gp2	235950gp1	235950.gp	235950gp	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2 \cdot 3^{15} \cdot 5^{12} \cdot 11^{8} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1560$	$16$	$0$	$85.84901193$	$1$		$0$	$205286400$	$3.965149$	$557820238477845431/985142146218750$	$1.00005$	$5.69228$	$[1, 1, 1, 256592537, -2265976710469]$	\(y^2+xy+y=x^3+x^2+256592537x-2265976710469\)	3.4.0.a.1, 15.8.0-3.a.1.2, 312.8.0.?, 1560.16.0.?	$[(2109856395670195014710724401569044322975/162475729613106362, 98457919703508130072219125383598713975553286630078064650011/162475729613106362)]$
377520.a2	377520a1	377520.a	377520a	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{15} \cdot 5^{6} \cdot 11^{2} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3432$	$16$	$0$	$3.331458697$	$1$		$2$	$18662400$	$2.654629$	$557820238477845431/985142146218750$	$1.00005$	$4.25928$	$[0, -1, 0, 1357184, -872153984]$	\(y^2=x^3-x^2+1357184x-872153984\)	3.4.0.a.1, 132.8.0.?, 312.8.0.?, 3432.16.0.?	$[(536, 3000)]$
377520.bn2	377520bn1	377520.bn	377520bn	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{15} \cdot 5^{6} \cdot 11^{8} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$312$	$16$	$0$	$1$	$1$		$0$	$205286400$	$3.853577$	$557820238477845431/985142146218750$	$1.00005$	$5.37967$	$[0, -1, 0, 164219224, 1160180075760]$	\(y^2=x^3-x^2+164219224x+1160180075760\)	3.4.0.a.1, 12.8.0-3.a.1.1, 312.16.0.?	$[]$