Elliptic curve search results

Results (11 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
26520.z4	26520bb1	26520.z	26520bb	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1768$	$48$	$0$	$1.823439210$	$1$		$7$	$98304$	$1.348516$	$8027441608013824/4452347908125$	$0.98056$	$3.86762$	$[0, 1, 0, -10511, -88086]$	\(y^2=x^3+x^2-10511x-88086\)	2.3.0.a.1, 4.12.0-4.c.1.1, 26.6.0.b.1, 52.24.0-52.g.1.2, 136.24.0.?, $\ldots$	$[(-98, 102)]$
53040.c4	53040i1	53040.c	53040i	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1768$	$48$	$0$	$1.589216230$	$1$		$3$	$196608$	$1.348516$	$8027441608013824/4452347908125$	$0.98056$	$3.62119$	$[0, -1, 0, -10511, 88086]$	\(y^2=x^3-x^2-10511x+88086\)	2.3.0.a.1, 4.12.0-4.c.1.2, 26.6.0.b.1, 52.24.0-52.g.1.1, 136.24.0.?, $\ldots$	$[(166, 1700)]$
79560.bt4	79560z1	79560.bt	79560z	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$786432$	$1.897823$	$8027441608013824/4452347908125$	$0.98056$	$4.07522$	$[0, 0, 0, -94602, 2283721]$	\(y^2=x^3-94602x+2283721\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 26.6.0.b.1, 52.12.0.g.1, $\ldots$	$[]$
132600.b4	132600ce1	132600.b	132600ce	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{10} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$4.315549291$	$1$		$3$	$2359296$	$2.153236$	$8027441608013824/4452347908125$	$0.98056$	$4.15858$	$[0, -1, 0, -262783, -10485188]$	\(y^2=x^3-x^2-262783x-10485188\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 26.6.0.b.1, 52.12.0.g.1, $\ldots$	$[(-93, 3625)]$
159120.cq4	159120cy1	159120.cq	159120cy	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$1572864$	$1.897823$	$8027441608013824/4452347908125$	$0.98056$	$3.83939$	$[0, 0, 0, -94602, -2283721]$	\(y^2=x^3-94602x-2283721\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$	$[]$
212160.dp4	212160gw1	212160.dp	212160gw	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1768$	$48$	$0$	$1.385119215$	$1$		$5$	$1572864$	$1.695091$	$8027441608013824/4452347908125$	$0.98056$	$3.55098$	$[0, -1, 0, -42045, -662643]$	\(y^2=x^3-x^2-42045x-662643\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 26.6.0.b.1, 52.12.0.g.1, $\ldots$	$[(-76, 1445)]$
212160.gd4	212160g1	212160.gd	212160g	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1768$	$48$	$0$	$0.386448666$	$1$		$9$	$1572864$	$1.695091$	$8027441608013824/4452347908125$	$0.98056$	$3.55098$	$[0, 1, 0, -42045, 662643]$	\(y^2=x^3+x^2-42045x+662643\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 26.6.0.b.1, 52.12.0.g.1, $\ldots$	$[(-9, 1020)]$
265200.gw4	265200gw1	265200.gw	265200gw	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{10} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$4718592$	$2.153236$	$8027441608013824/4452347908125$	$0.98056$	$3.92776$	$[0, 1, 0, -262783, 10485188]$	\(y^2=x^3+x^2-262783x+10485188\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$	$[]$
344760.ce4	344760ce1	344760.ce	344760ce	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{7} \cdot 17^{4} \)	$2$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1768$	$48$	$0$	$1.950238332$	$1$		$29$	$16515072$	$2.630993$	$8027441608013824/4452347908125$	$0.98056$	$4.29658$	$[0, 1, 0, -1776415, -186419362]$	\(y^2=x^3+x^2-1776415x-186419362\)	2.3.0.a.1, 4.12.0-4.c.1.1, 26.6.0.b.1, 52.24.0-52.g.1.2, 136.24.0.?, $\ldots$	$[(-139, 7605), (1421, 12675)]$
397800.j4	397800j1	397800.j	397800j	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{10} \cdot 13 \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$18874368$	$2.702541$	$8027441608013824/4452347908125$	$0.98056$	$4.31548$	$[0, 0, 0, -2365050, 285465125]$	\(y^2=x^3-2365050x+285465125\)	2.3.0.a.1, 4.6.0.c.1, 26.6.0.b.1, 52.12.0.g.1, 60.12.0-4.c.1.2, $\ldots$	$[]$
450840.q4	450840q1	450840.q	450840q	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$28311552$	$2.765125$	$8027441608013824/4452347908125$	$0.98056$	$4.33168$	$[0, -1, 0, -3037775, -414540048]$	\(y^2=x^3-x^2-3037775x-414540048\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 26.6.0.b.1, 52.12.0.g.1, $\ldots$	$[]$