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
7770.s1	7770t1	7770.s	7770t	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 \)	\( - 2^{7} \cdot 3^{2} \cdot 5^{3} \cdot 7^{5} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$10360$	$2$	$0$	$0.026084350$	$1$		$18$	$10080$	$0.829031$	$-548166867106321/89547696000$	$0.91496$	$3.81627$	$[1, 1, 1, -1705, 29975]$	\(y^2+xy+y=x^3+x^2-1705x+29975\)	10360.2.0.?	$[(-37, 228)]$
23310.k1	23310o1	23310.k	23310o	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \)	\( - 2^{7} \cdot 3^{8} \cdot 5^{3} \cdot 7^{5} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$1$	$1$		$0$	$80640$	$1.378338$	$-548166867106321/89547696000$	$0.91496$	$4.05483$	$[1, -1, 0, -15345, -824675]$	\(y^2+xy=x^3-x^2-15345x-824675\)	10360.2.0.?	$[]$
38850.ba1	38850bc1	38850.ba	38850bc	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \)	\( - 2^{7} \cdot 3^{2} \cdot 5^{9} \cdot 7^{5} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$1$	$1$		$0$	$241920$	$1.633751$	$-548166867106321/89547696000$	$0.91496$	$4.14885$	$[1, 0, 1, -42626, 3832148]$	\(y^2+xy+y=x^3-42626x+3832148\)	10360.2.0.?	$[]$
54390.cn1	54390cw1	54390.cn	54390cw	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{7} \cdot 3^{2} \cdot 5^{3} \cdot 7^{11} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$1.339948611$	$1$		$2$	$483840$	$1.801987$	$-548166867106321/89547696000$	$0.91496$	$4.20598$	$[1, 0, 0, -83546, -10532124]$	\(y^2+xy=x^3-83546x-10532124\)	10360.2.0.?	$[(648, 14082)]$
62160.cp1	62160ct1	62160.cp	62160ct	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \)	\( - 2^{19} \cdot 3^{2} \cdot 5^{3} \cdot 7^{5} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$1.960849563$	$1$		$2$	$241920$	$1.522179$	$-548166867106321/89547696000$	$0.91496$	$3.85088$	$[0, 1, 0, -27280, -1972972]$	\(y^2=x^3+x^2-27280x-1972972\)	10360.2.0.?	$[(386, 6720)]$
116550.dy1	116550ea1	116550.dy	116550ea	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 37 \)	\( - 2^{7} \cdot 3^{8} \cdot 5^{9} \cdot 7^{5} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$2.000237799$	$1$		$2$	$1935360$	$2.183056$	$-548166867106321/89547696000$	$0.91496$	$4.32318$	$[1, -1, 1, -383630, -103468003]$	\(y^2+xy+y=x^3-x^2-383630x-103468003\)	10360.2.0.?	$[(849, 13075)]$
163170.dd1	163170dv1	163170.dd	163170dv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{7} \cdot 3^{8} \cdot 5^{3} \cdot 7^{11} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$1.058729777$	$1$		$4$	$3870720$	$2.351292$	$-548166867106321/89547696000$	$0.91496$	$4.37019$	$[1, -1, 0, -751914, 284367348]$	\(y^2+xy=x^3-x^2-751914x+284367348\)	10360.2.0.?	$[(457, 5774)]$
186480.e1	186480cd1	186480.e	186480cd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \)	\( - 2^{19} \cdot 3^{8} \cdot 5^{3} \cdot 7^{5} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$1$	$1$		$0$	$1935360$	$2.071484$	$-548166867106321/89547696000$	$0.91496$	$4.04543$	$[0, 0, 0, -245523, 53024722]$	\(y^2=x^3-245523x+53024722\)	10360.2.0.?	$[]$
248640.f1	248640f1	248640.f	248640f	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \)	\( - 2^{25} \cdot 3^{2} \cdot 5^{3} \cdot 7^{5} \cdot 37 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$9.364436719$	$1$		$10$	$1935360$	$1.868752$	$-548166867106321/89547696000$	$0.91496$	$3.75594$	$[0, -1, 0, -109121, -15674655]$	\(y^2=x^3-x^2-109121x-15674655\)	10360.2.0.?	$[(389, 768), (901, 24832)]$
248640.gh1	248640gh1	248640.gh	248640gh	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \)	\( - 2^{25} \cdot 3^{2} \cdot 5^{3} \cdot 7^{5} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$0.640204866$	$1$		$4$	$1935360$	$1.868752$	$-548166867106321/89547696000$	$0.91496$	$3.75594$	$[0, 1, 0, -109121, 15674655]$	\(y^2=x^3+x^2-109121x+15674655\)	10360.2.0.?	$[(379, 5376)]$
271950.k1	271950k1	271950.k	271950k	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 2^{7} \cdot 3^{2} \cdot 5^{9} \cdot 7^{11} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$1$	$1$		$0$	$11612160$	$2.606705$	$-548166867106321/89547696000$	$0.91496$	$4.43672$	$[1, 1, 0, -2088650, -1316515500]$	\(y^2+xy=x^3+x^2-2088650x-1316515500\)	10360.2.0.?	$[]$
287490.g1	287490g1	287490.g	287490g	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37^{2} \)	\( - 2^{7} \cdot 3^{2} \cdot 5^{3} \cdot 7^{5} \cdot 37^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$1.311999585$	$1$		$14$	$13789440$	$2.634491$	$-548166867106321/89547696000$	$0.91496$	$4.44363$	$[1, 1, 0, -2334173, 1553345277]$	\(y^2+xy=x^3+x^2-2334173x+1553345277\)	10360.2.0.?	$[(977, 13886), (3131/2, 111865/2)]$
310800.dr1	310800dr1	310800.dr	310800dr	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \)	\( - 2^{19} \cdot 3^{2} \cdot 5^{9} \cdot 7^{5} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$2.336732234$	$1$		$2$	$5806080$	$2.326897$	$-548166867106321/89547696000$	$0.91496$	$4.12438$	$[0, -1, 0, -682008, -245257488]$	\(y^2=x^3-x^2-682008x-245257488\)	10360.2.0.?	$[(1362, 36750)]$
435120.bn1	435120bn1	435120.bn	435120bn	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{19} \cdot 3^{2} \cdot 5^{3} \cdot 7^{11} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10360$	$2$	$0$	$1$	$1$		$0$	$11612160$	$2.495132$	$-548166867106321/89547696000$	$0.91496$	$4.17299$	$[0, -1, 0, -1336736, 674055936]$	\(y^2=x^3-x^2-1336736x+674055936\)	10360.2.0.?	$[]$