Elliptic curve search results

Results (9 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
10906.b1	10906a1	10906.b	10906a	$1$	$1$	\( 2 \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{9} \cdot 7^{5} \cdot 19^{4} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2296$	$2$	$0$	$1.581930286$	$1$		$4$	$34560$	$1.333994$	$200547813826867753/45978883546624$	$0.91917$	$4.28520$	$[1, 1, 0, -12194, 397684]$	\(y^2+xy=x^3+x^2-12194x+397684\)	2296.2.0.?	$[(33, 164)]$
76342.i1	76342i1	76342.i	76342i	$1$	$1$	\( 2 \cdot 7^{2} \cdot 19 \cdot 41 \)	\( 2^{9} \cdot 7^{11} \cdot 19^{4} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$1$	$1$		$0$	$1658880$	$2.306950$	$200547813826867753/45978883546624$	$0.91917$	$4.58200$	$[1, 0, 1, -597532, -138198182]$	\(y^2+xy+y=x^3-597532x-138198182\)	2296.2.0.?	$[]$
87248.p1	87248v1	87248.p	87248v	$1$	$1$	\( 2^{4} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{21} \cdot 7^{5} \cdot 19^{4} \cdot 41 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$0.584920963$	$1$		$14$	$829440$	$2.027142$	$200547813826867753/45978883546624$	$0.91917$	$4.23307$	$[0, 1, 0, -195112, -25841996]$	\(y^2=x^3+x^2-195112x-25841996\)	2296.2.0.?	$[(-324, 1862), (-210, 2432)]$
98154.cd1	98154bw1	98154.cd	98154bw	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{9} \cdot 3^{6} \cdot 7^{5} \cdot 19^{4} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$1$	$1$		$0$	$1036800$	$1.883299$	$200547813826867753/45978883546624$	$0.91917$	$4.03953$	$[1, -1, 1, -109751, -10847217]$	\(y^2+xy+y=x^3-x^2-109751x-10847217\)	2296.2.0.?	$[]$
207214.w1	207214i1	207214.w	207214i	$1$	$1$	\( 2 \cdot 7 \cdot 19^{2} \cdot 41 \)	\( 2^{9} \cdot 7^{5} \cdot 19^{10} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$1$	$1$		$0$	$12441600$	$2.806213$	$200547813826867753/45978883546624$	$0.91917$	$4.69766$	$[1, 0, 0, -4402222, -2762931836]$	\(y^2+xy=x^3-4402222x-2762931836\)	2296.2.0.?	$[]$
272650.bk1	272650bk1	272650.bk	272650bk	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{9} \cdot 5^{6} \cdot 7^{5} \cdot 19^{4} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$0.651991484$	$1$		$4$	$3732480$	$2.138714$	$200547813826867753/45978883546624$	$0.91917$	$3.95467$	$[1, 0, 0, -304863, 50320217]$	\(y^2+xy=x^3-304863x+50320217\)	2296.2.0.?	$[(-194, 10205)]$
348992.be1	348992be1	348992.be	348992be	$1$	$1$	\( 2^{6} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{27} \cdot 7^{5} \cdot 19^{4} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$1.506765798$	$1$		$4$	$6635520$	$2.373714$	$200547813826867753/45978883546624$	$0.91917$	$4.09914$	$[0, -1, 0, -780449, -205955519]$	\(y^2=x^3-x^2-780449x-205955519\)	2296.2.0.?	$[(-675, 3584)]$
348992.cc1	348992cc1	348992.cc	348992cc	$1$	$1$	\( 2^{6} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{27} \cdot 7^{5} \cdot 19^{4} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$1$	$1$		$0$	$6635520$	$2.373714$	$200547813826867753/45978883546624$	$0.91917$	$4.09914$	$[0, 1, 0, -780449, 205955519]$	\(y^2=x^3+x^2-780449x+205955519\)	2296.2.0.?	$[]$
447146.i1	447146i1	447146.i	447146i	$1$	$1$	\( 2 \cdot 7 \cdot 19 \cdot 41^{2} \)	\( 2^{9} \cdot 7^{5} \cdot 19^{4} \cdot 41^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$0.509356967$	$1$		$6$	$58060800$	$3.190781$	$200547813826867753/45978883546624$	$0.91917$	$4.77465$	$[1, 0, 1, -20498990, 27757256800]$	\(y^2+xy+y=x^3-20498990x+27757256800\)	2296.2.0.?	$[(-4862, 114217)]$