Elliptic curve search results

Results (14 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
33640.b1	33640f2	33640.b	33640f	$2$	$2$	\( 2^{3} \cdot 5 \cdot 29^{2} \)	\( 2^{8} \cdot 5^{4} \cdot 29^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$0.659431403$	$1$		$9$	$17920$	$0.530340$	$1102736/625$	$0.89642$	$2.83594$	$[0, 1, 0, -396, 304]$	\(y^2=x^3+x^2-396x+304\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.24.0.?, $\ldots$	$[(-6, 50)]$
33640.h1	33640b2	33640.h	33640b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 29^{2} \)	\( 2^{8} \cdot 5^{4} \cdot 29^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$9$	$3$	$1$	$519680$	$2.213989$	$1102736/625$	$0.89642$	$4.77424$	$[0, -1, 0, -333316, 10746516]$	\(y^2=x^3-x^2-333316x+10746516\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.24.0.?, $\ldots$	$[]$
67280.b1	67280e2	67280.b	67280e	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29^{2} \)	\( 2^{8} \cdot 5^{4} \cdot 29^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$1$		$1$	$1039360$	$2.213989$	$1102736/625$	$0.89642$	$4.47655$	$[0, 1, 0, -333316, -10746516]$	\(y^2=x^3+x^2-333316x-10746516\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.24.0.?, $\ldots$	$[]$
67280.w1	67280d2	67280.w	67280d	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29^{2} \)	\( 2^{8} \cdot 5^{4} \cdot 29^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$1$		$1$	$35840$	$0.530340$	$1102736/625$	$0.89642$	$2.65912$	$[0, -1, 0, -396, -304]$	\(y^2=x^3-x^2-396x-304\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.24.0.?, $\ldots$	$[]$
168200.f1	168200c2	168200.f	168200c	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{8} \cdot 5^{10} \cdot 29^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$4.254351023$	$1$		$3$	$12472320$	$3.018707$	$1102736/625$	$0.89642$	$4.93819$	$[0, 1, 0, -8332908, 1326648688]$	\(y^2=x^3+x^2-8332908x+1326648688\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[(-2822, 48750)]$
168200.u1	168200x2	168200.u	168200x	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{8} \cdot 5^{10} \cdot 29^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$1$		$1$	$430080$	$1.335058$	$1102736/625$	$0.89642$	$3.25915$	$[0, -1, 0, -9908, 57812]$	\(y^2=x^3-x^2-9908x+57812\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[]$
269120.g1	269120g2	269120.g	269120g	$2$	$2$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{14} \cdot 5^{4} \cdot 29^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$3.282728847$	$1$		$13$	$286720$	$0.876914$	$1102736/625$	$0.89642$	$2.69691$	$[0, 1, 0, -1585, -4017]$	\(y^2=x^3+x^2-1585x-4017\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[(-19, 140), (41, 40)]$
269120.h1	269120h2	269120.h	269120h	$2$	$2$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{14} \cdot 5^{4} \cdot 29^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$9.273586971$	$1$		$3$	$8314880$	$2.560562$	$1102736/625$	$0.89642$	$4.31284$	$[0, 1, 0, -1333265, 84638863]$	\(y^2=x^3+x^2-1333265x+84638863\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[(70741, 18812740)]$
269120.cl1	269120cl2	269120.cl	269120cl	$2$	$2$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{14} \cdot 5^{4} \cdot 29^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$3.561187740$	$1$		$3$	$286720$	$0.876914$	$1102736/625$	$0.89642$	$2.69691$	$[0, -1, 0, -1585, 4017]$	\(y^2=x^3-x^2-1585x+4017\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[(219, 3180)]$
269120.cm1	269120cm2	269120.cm	269120cm	$2$	$2$	\( 2^{6} \cdot 5 \cdot 29^{2} \)	\( 2^{14} \cdot 5^{4} \cdot 29^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$4$	$2$	$1$	$8314880$	$2.560562$	$1102736/625$	$0.89642$	$4.31284$	$[0, -1, 0, -1333265, -84638863]$	\(y^2=x^3-x^2-1333265x-84638863\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[]$
302760.bz1	302760bz2	302760.bz	302760bz	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 29^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$3480$	$48$	$1$	$3.066679669$	$1$		$13$	$430080$	$1.079647$	$1102736/625$	$0.89642$	$2.86450$	$[0, 0, 0, -3567, -11774]$	\(y^2=x^3-3567x-11774\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[(87, 580), (122, 1170)]$
302760.cb1	302760cb2	302760.cb	302760cb	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 29^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 29^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$3480$	$48$	$1$	$4.915216164$	$1$		$3$	$12472320$	$2.763294$	$1102736/625$	$0.89642$	$4.46535$	$[0, 0, 0, -2999847, -287156086]$	\(y^2=x^3-2999847x-287156086\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[(1963, 37260)]$
336400.l1	336400l2	336400.l	336400l	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{8} \cdot 5^{10} \cdot 29^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$1$		$1$	$860160$	$1.335058$	$1102736/625$	$0.89642$	$3.08163$	$[0, 1, 0, -9908, -57812]$	\(y^2=x^3+x^2-9908x-57812\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[]$
336400.cc1	336400cc2	336400.cc	336400cc	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 29^{2} \)	\( 2^{8} \cdot 5^{10} \cdot 29^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.2	2B	$1160$	$48$	$1$	$1$	$1$		$1$	$24944640$	$3.018707$	$1102736/625$	$0.89642$	$4.66922$	$[0, -1, 0, -8332908, -1326648688]$	\(y^2=x^3-x^2-8332908x-1326648688\)	2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.12.0.?, $\ldots$	$[]$