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
30030.p6	30030r1	30030.p	30030r	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7 \cdot 11^{3} \cdot 13 \)	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$120120$	$384$	$5$	$4.039595373$	$1$		$9$	$497664$	$2.000175$	$688437529087783927489129/882972090000$	$0.97927$	$5.32386$	$[1, 0, 1, -1839559, 960172346]$	\(y^2+xy+y=x^3-1839559x+960172346\)	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$	$[(1939, 67472)]$
90090.dr6	90090dv1	90090.dr	90090dv	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{4} \cdot 7 \cdot 11^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$120120$	$384$	$5$	$1$	$9$	$3$	$1$	$3981312$	$2.549480$	$688437529087783927489129/882972090000$	$0.97927$	$5.38897$	$[1, -1, 1, -16556027, -25924653349]$	\(y^2+xy+y=x^3-x^2-16556027x-25924653349\)	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[]$
150150.dx6	150150ct1	150150.dx	150150ct	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 7 \cdot 11^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.12, 3.4.0.1	2B, 3B	$120120$	$384$	$5$	$1.571836370$	$1$		$3$	$11943936$	$2.804893$	$688437529087783927489129/882972090000$	$0.97927$	$5.41515$	$[1, 1, 1, -45988963, 120021543281]$	\(y^2+xy+y=x^3+x^2-45988963x+120021543281\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.2, $\ldots$	$[(3425, 50262)]$
210210.bd6	210210ev1	210210.bd	210210ev	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7^{7} \cdot 11^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$120120$	$384$	$5$	$1$	$1$		$1$	$23887872$	$2.973129$	$688437529087783927489129/882972090000$	$0.97927$	$5.43121$	$[1, 1, 0, -90138367, -329429253131]$	\(y^2+xy=x^3+x^2-90138367x-329429253131\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
240240.l6	240240l1	240240.l	240240l	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{16} \cdot 3^{6} \cdot 5^{4} \cdot 7 \cdot 11^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$120120$	$384$	$5$	$13.43294725$	$1$		$1$	$11943936$	$2.693321$	$688437529087783927489129/882972090000$	$0.97927$	$5.10166$	$[0, -1, 0, -29432936, -61451030160]$	\(y^2=x^3-x^2-29432936x-61451030160\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.8, $\ldots$	$[(5077924/11, 11341765888/11)]$
330330.fq6	330330fq1	330330.fq	330330fq	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7 \cdot 11^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$120120$	$384$	$5$	$1$	$4$	$2$	$1$	$59719680$	$3.199123$	$688437529087783927489129/882972090000$	$0.97927$	$5.45144$	$[1, 0, 0, -222586581, -1278211979439]$	\(y^2+xy=x^3-222586581x-1278211979439\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$
390390.ek6	390390ek1	390390.ek	390390ek	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7 \cdot 11^{3} \cdot 13^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$120120$	$384$	$5$	$1$	$1$		$3$	$83607552$	$3.282650$	$688437529087783927489129/882972090000$	$0.97927$	$5.45856$	$[1, 0, 0, -310885390, 2109809530100]$	\(y^2+xy=x^3-310885390x+2109809530100\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$	$[]$
450450.e6	450450e1	450450.e	450450e	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{10} \cdot 7 \cdot 11^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.1, 3.4.0.1	2B, 3B	$120120$	$384$	$5$	$1$	$4$	$2$	$1$	$95551488$	$3.354198$	$688437529087783927489129/882972090000$	$0.97927$	$5.46451$	$[1, -1, 0, -413900667, -3240995569259]$	\(y^2+xy=x^3-x^2-413900667x-3240995569259\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$	$[]$