Elliptic curve search results

Results (13 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
11220.f1	11220f2	11220.f	11220f	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{8} \cdot 3^{5} \cdot 5 \cdot 11^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.955575140$	$1$		$5$	$21120$	$1.117313$	$68795769401296/12278839815$	$0.88988$	$4.01132$	$[0, -1, 0, -5420, -125928]$	\(y^2=x^3-x^2-5420x-125928\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(-38, 154)]$
33660.a1	33660e2	33660.a	33660e	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{8} \cdot 3^{11} \cdot 5 \cdot 11^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.114154036$	$1$		$5$	$168960$	$1.666618$	$68795769401296/12278839815$	$0.88988$	$4.22091$	$[0, 0, 0, -48783, 3448838]$	\(y^2=x^3-48783x+3448838\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(-122, 2754)]$
44880.cz1	44880cx2	44880.cz	44880cx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{8} \cdot 3^{5} \cdot 5 \cdot 11^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$2.382046623$	$1$		$3$	$84480$	$1.117313$	$68795769401296/12278839815$	$0.88988$	$3.49218$	$[0, 1, 0, -5420, 125928]$	\(y^2=x^3+x^2-5420x+125928\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(-17, 462)]$
56100.bb1	56100v2	56100.bb	56100v	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{7} \cdot 11^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$506880$	$1.922031$	$68795769401296/12278839815$	$0.88988$	$4.30402$	$[0, 1, 0, -135508, -16012012]$	\(y^2=x^3+x^2-135508x-16012012\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[]$
123420.u1	123420u2	123420.u	123420u	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{5} \cdot 5 \cdot 11^{8} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$8.744061182$	$1$		$1$	$2534400$	$2.316261$	$68795769401296/12278839815$	$0.88988$	$4.41808$	$[0, -1, 0, -655860, 170233560]$	\(y^2=x^3-x^2-655860x+170233560\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(208993/12, 82390231/12)]$
134640.cg1	134640cp2	134640.cg	134640cp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{8} \cdot 3^{11} \cdot 5 \cdot 11^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$675840$	$1.666618$	$68795769401296/12278839815$	$0.88988$	$3.72546$	$[0, 0, 0, -48783, -3448838]$	\(y^2=x^3-48783x-3448838\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[]$
168300.bz1	168300bp2	168300.bz	168300bp	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{7} \cdot 11^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$4055040$	$2.471336$	$68795769401296/12278839815$	$0.88988$	$4.45885$	$[0, 0, 0, -1219575, 431104750]$	\(y^2=x^3-1219575x+431104750\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[]$
179520.bv1	179520eg2	179520.bv	179520eg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{5} \cdot 5 \cdot 11^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$675840$	$1.463886$	$68795769401296/12278839815$	$0.88988$	$3.43578$	$[0, -1, 0, -21681, 1029105]$	\(y^2=x^3-x^2-21681x+1029105\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[]$
179520.el1	179520fq2	179520.el	179520fq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{5} \cdot 5 \cdot 11^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1.604943194$	$1$		$5$	$675840$	$1.463886$	$68795769401296/12278839815$	$0.88988$	$3.43578$	$[0, 1, 0, -21681, -1029105]$	\(y^2=x^3+x^2-21681x-1029105\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[(-99, 396)]$
190740.t1	190740s2	190740.t	190740s	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{5} \cdot 5 \cdot 11^{2} \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$6082560$	$2.533920$	$68795769401296/12278839815$	$0.88988$	$4.47472$	$[0, 1, 0, -1566476, -628082940]$	\(y^2=x^3+x^2-1566476x-628082940\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[]$
224400.p1	224400ek2	224400.p	224400ek	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{7} \cdot 11^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$2027520$	$1.922031$	$68795769401296/12278839815$	$0.88988$	$3.81976$	$[0, -1, 0, -135508, 16012012]$	\(y^2=x^3-x^2-135508x+16012012\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[]$
370260.z1	370260z2	370260.z	370260z	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{11} \cdot 5 \cdot 11^{8} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$20275200$	$2.865566$	$68795769401296/12278839815$	$0.88988$	$4.55362$	$[0, 0, 0, -5902743, -4590403378]$	\(y^2=x^3-5902743x-4590403378\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[]$
493680.fy1	493680fy2	493680.fy	493680fy	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{5} \cdot 5 \cdot 11^{8} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$660$	$12$	$0$	$1$	$1$		$1$	$10137600$	$2.316261$	$68795769401296/12278839815$	$0.88988$	$3.95089$	$[0, 1, 0, -655860, -170233560]$	\(y^2=x^3+x^2-655860x-170233560\)	2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?	$[]$