Elliptic curve search results

Results (20 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
5586.h1	5586h1	5586.h	5586h	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{7} \cdot 7^{2} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$3.511952362$	$1$		$2$	$56448$	$1.846800$	$628805222251722551/597713542447104$	$1.03789$	$5.20101$	$[1, 1, 0, 65313, -5122683]$	\(y^2+xy=x^3+x^2+65313x-5122683\)	24.2.0.b.1	$[(101, 1536)]$
5586.m1	5586m1	5586.m	5586m	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{7} \cdot 7^{8} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$395136$	$2.819756$	$628805222251722551/597713542447104$	$1.03789$	$6.55421$	$[1, 0, 1, 3200311, 1766681228]$	\(y^2+xy+y=x^3+3200311x+1766681228\)	24.2.0.b.1	$[]$
16758.w1	16758bn1	16758.w	16758bn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{13} \cdot 7^{2} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.294644059$	$1$		$8$	$451584$	$2.396107$	$628805222251722551/597713542447104$	$1.03789$	$5.29126$	$[1, -1, 1, 587812, 138900255]$	\(y^2+xy+y=x^3-x^2+587812x+138900255\)	24.2.0.b.1	$[(437, 21669)]$
16758.bi1	16758u1	16758.bi	16758u	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{13} \cdot 7^{8} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1.042027764$	$1$		$4$	$3161088$	$3.369061$	$628805222251722551/597713542447104$	$1.03789$	$6.49162$	$[1, -1, 1, 28802803, -47700393163]$	\(y^2+xy+y=x^3-x^2+28802803x-47700393163\)	24.2.0.b.1	$[(6975, 698296)]$
44688.k1	44688bt1	44688.k	44688bt	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{33} \cdot 3^{7} \cdot 7^{8} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$3.488903662$	$1$		$4$	$9483264$	$3.512901$	$628805222251722551/597713542447104$	$1.03789$	$6.05817$	$[0, -1, 0, 51204984, -113067598608]$	\(y^2=x^3-x^2+51204984x-113067598608\)	24.2.0.b.1	$[(2042, 1862)]$
44688.de1	44688cq1	44688.de	44688cq	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{33} \cdot 3^{7} \cdot 7^{2} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$1354752$	$2.539948$	$628805222251722551/597713542447104$	$1.03789$	$4.96777$	$[0, 1, 0, 1045000, 329941716]$	\(y^2=x^3+x^2+1045000x+329941716\)	24.2.0.b.1	$[]$
106134.bq1	106134bp1	106134.bq	106134bp	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{21} \cdot 3^{7} \cdot 7^{8} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$11.65588711$	$1$		$0$	$142248960$	$4.291977$	$628805222251722551/597713542447104$	$1.03789$	$6.41320$	$[1, 1, 1, 1155312444, -12115355919675]$	\(y^2+xy+y=x^3+x^2+1155312444x-12115355919675\)	24.2.0.b.1	$[(9501885/13, 33299270445/13)]$
106134.db1	106134cs1	106134.db	106134cs	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{21} \cdot 3^{7} \cdot 7^{2} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.937662352$	$1$		$4$	$20321280$	$3.319019$	$628805222251722551/597713542447104$	$1.03789$	$5.40430$	$[1, 0, 0, 23577805, 35325105633]$	\(y^2+xy=x^3+23577805x+35325105633\)	24.2.0.b.1	$[(334, 207769)]$
134064.ci1	134064w1	134064.ci	134064w	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{33} \cdot 3^{13} \cdot 7^{2} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$10838016$	$3.089252$	$628805222251722551/597713542447104$	$1.03789$	$5.06382$	$[0, 0, 0, 9404997, -8899021334]$	\(y^2=x^3+9404997x-8899021334\)	24.2.0.b.1	$[]$
134064.eg1	134064cc1	134064.eg	134064cc	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{33} \cdot 3^{13} \cdot 7^{8} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$75866112$	$4.062210$	$628805222251722551/597713542447104$	$1.03789$	$6.05276$	$[0, 0, 0, 460844853, 3052364317562]$	\(y^2=x^3+460844853x+3052364317562\)	24.2.0.b.1	$[]$
139650.gg1	139650fe1	139650.gg	139650fe	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{7} \cdot 5^{6} \cdot 7^{8} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$55319040$	$3.624474$	$628805222251722551/597713542447104$	$1.03789$	$5.58851$	$[1, 1, 1, 80007787, 220835153531]$	\(y^2+xy+y=x^3+x^2+80007787x+220835153531\)	24.2.0.b.1	$[]$
139650.is1	139650cd1	139650.is	139650cd	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.258450469$	$1$		$8$	$7902720$	$2.651520$	$628805222251722551/597713542447104$	$1.03789$	$4.60298$	$[1, 0, 0, 1632812, -643601008]$	\(y^2+xy=x^3+1632812x-643601008\)	24.2.0.b.1	$[(488, 16172)]$
178752.bz1	178752du1	178752.bz	178752du	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{39} \cdot 3^{7} \cdot 7^{2} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$10838016$	$2.886520$	$628805222251722551/597713542447104$	$1.03789$	$4.74221$	$[0, -1, 0, 4179999, 2635353729]$	\(y^2=x^3-x^2+4179999x+2635353729\)	24.2.0.b.1	$[]$
178752.dj1	178752jz1	178752.dj	178752jz	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{39} \cdot 3^{7} \cdot 7^{8} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$4$	$2$	$0$	$75866112$	$3.859474$	$628805222251722551/597713542447104$	$1.03789$	$5.70762$	$[0, -1, 0, 204819935, 904335968929]$	\(y^2=x^3-x^2+204819935x+904335968929\)	24.2.0.b.1	$[]$
178752.ha1	178752gh1	178752.ha	178752gh	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{39} \cdot 3^{7} \cdot 7^{2} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1.624387437$	$1$		$4$	$10838016$	$2.886520$	$628805222251722551/597713542447104$	$1.03789$	$4.74221$	$[0, 1, 0, 4179999, -2635353729]$	\(y^2=x^3+x^2+4179999x-2635353729\)	24.2.0.b.1	$[(9075, 884736)]$
178752.ix1	178752cd1	178752.ix	178752cd	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{39} \cdot 3^{7} \cdot 7^{8} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$2.509452008$	$1$		$4$	$75866112$	$3.859474$	$628805222251722551/597713542447104$	$1.03789$	$5.70762$	$[0, 1, 0, 204819935, -904335968929]$	\(y^2=x^3+x^2+204819935x-904335968929\)	24.2.0.b.1	$[(6256679, 15650095104)]$
318402.u1	318402u1	318402.u	318402u	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{21} \cdot 3^{13} \cdot 7^{2} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$162570240$	$3.868324$	$628805222251722551/597713542447104$	$1.03789$	$5.45595$	$[1, -1, 0, 212200245, -953777852091]$	\(y^2+xy=x^3-x^2+212200245x-953777852091\)	24.2.0.b.1	$[]$
318402.br1	318402br1	318402.br	318402br	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{21} \cdot 3^{13} \cdot 7^{8} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$135.4433237$	$1$		$0$	$1137991680$	$4.841278$	$628805222251722551/597713542447104$	$1.03789$	$6.37738$	$[1, -1, 0, 10397811996, 327125007643216]$	\(y^2+xy=x^3-x^2+10397811996x+327125007643216\)	24.2.0.b.1	$[(-492113861193525257518084385777115094684373112317738320809241/5686979307520808007274601663, 2366758486009965596506344557922056381051373498478506225170682784619932264161570399445974502/5686979307520808007274601663)]$
418950.bs1	418950bs1	418950.bs	418950bs	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{13} \cdot 5^{6} \cdot 7^{2} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$63221760$	$3.200825$	$628805222251722551/597713542447104$	$1.03789$	$4.72154$	$[1, -1, 0, 14695308, 17377227216]$	\(y^2+xy=x^3-x^2+14695308x+17377227216\)	24.2.0.b.1	$[]$
418950.ch1	418950ch1	418950.ch	418950ch	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{13} \cdot 5^{6} \cdot 7^{8} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$9$	$3$	$0$	$442552320$	$4.173782$	$628805222251722551/597713542447104$	$1.03789$	$5.62343$	$[1, -1, 0, 720070083, -5961829075259]$	\(y^2+xy=x^3-x^2+720070083x-5961829075259\)	24.2.0.b.1	$[]$