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
32340.d1	32340a1	32340.d	32340a	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 7^{8} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$1$	$1$		$0$	$48384$	$1.000158$	$-3937024/12375$	$0.76926$	$3.40782$	$[0, -1, 0, -1486, -55439]$	\(y^2=x^3-x^2-1486x-55439\)	110.2.0.?	$[]$
32340.bi1	32340bn1	32340.bi	32340bn	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$0.189124847$	$1$		$8$	$6912$	$0.027203$	$-3937024/12375$	$0.76926$	$2.28346$	$[0, 1, 0, -30, 153]$	\(y^2=x^3+x^2-30x+153\)	110.2.0.?	$[(6, 15)]$
97020.n1	97020cc1	97020.n	97020cc	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{3} \cdot 7^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$5.040336209$	$1$		$2$	$55296$	$0.576509$	$-3937024/12375$	$0.76926$	$2.63904$	$[0, 0, 0, -273, -4403]$	\(y^2=x^3-273x-4403\)	110.2.0.?	$[(452, 9603)]$
97020.de1	97020cj1	97020.de	97020cj	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{3} \cdot 7^{8} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$3.204400562$	$1$		$2$	$387072$	$1.549463$	$-3937024/12375$	$0.76926$	$3.65583$	$[0, 0, 0, -13377, 1510229]$	\(y^2=x^3-13377x+1510229\)	110.2.0.?	$[(148, 1665)]$
129360.cy1	129360fv1	129360.cy	129360fv	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$0.918756638$	$1$		$2$	$27648$	$0.027203$	$-3937024/12375$	$0.76926$	$2.01451$	$[0, -1, 0, -30, -153]$	\(y^2=x^3-x^2-30x-153\)	110.2.0.?	$[(9, 15)]$
129360.fv1	129360fy1	129360.fv	129360fy	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 7^{8} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$1$	$1$		$0$	$193536$	$1.000158$	$-3937024/12375$	$0.76926$	$3.00645$	$[0, 1, 0, -1486, 55439]$	\(y^2=x^3+x^2-1486x+55439\)	110.2.0.?	$[]$
161700.bn1	161700em1	161700.bn	161700em	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{9} \cdot 7^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$0.896750994$	$1$		$2$	$165888$	$0.831922$	$-3937024/12375$	$0.76926$	$2.78219$	$[0, -1, 0, -758, 20637]$	\(y^2=x^3-x^2-758x+20637\)	110.2.0.?	$[(7, 125)]$
161700.cl1	161700ce1	161700.cl	161700ce	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{9} \cdot 7^{8} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$3.750454707$	$1$		$2$	$1161216$	$1.804876$	$-3937024/12375$	$0.76926$	$3.75567$	$[0, 1, 0, -37158, -7004187]$	\(y^2=x^3+x^2-37158x-7004187\)	110.2.0.?	$[(849, 23961)]$
355740.a1	355740a1	355740.a	355740a	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 7^{8} \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$0.715767300$	$1$		$2$	$5806080$	$2.199104$	$-3937024/12375$	$0.76926$	$3.89411$	$[0, -1, 0, -179846, 74508645]$	\(y^2=x^3-x^2-179846x+74508645\)	110.2.0.?	$[(719, 17787)]$
355740.ep1	355740ep1	355740.ep	355740ep	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$1$	$1$		$0$	$829440$	$1.226151$	$-3937024/12375$	$0.76926$	$2.98068$	$[0, 1, 0, -3670, -218275]$	\(y^2=x^3+x^2-3670x-218275\)	110.2.0.?	$[]$
388080.b1	388080b1	388080.b	388080b	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{3} \cdot 7^{2} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$1$	$1$		$0$	$221184$	$0.576509$	$-3937024/12375$	$0.76926$	$2.35475$	$[0, 0, 0, -273, 4403]$	\(y^2=x^3-273x+4403\)	110.2.0.?	$[]$
388080.ls1	388080ls1	388080.ls	388080ls	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{3} \cdot 7^{8} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$1$	$1$		$0$	$1548288$	$1.549463$	$-3937024/12375$	$0.76926$	$3.26201$	$[0, 0, 0, -13377, -1510229]$	\(y^2=x^3-13377x-1510229\)	110.2.0.?	$[]$
485100.do1	485100do1	485100.do	485100do	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{9} \cdot 7^{8} \cdot 11 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$1.152423414$	$1$		$14$	$9289728$	$2.354183$	$-3937024/12375$	$0.76926$	$3.94400$	$[0, 0, 0, -334425, 188778625]$	\(y^2=x^3-334425x+188778625\)	110.2.0.?	$[(245, 11025), (-735, 6125)]$
485100.ja1	485100ja1	485100.ja	485100ja	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{9} \cdot 7^{2} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$110$	$2$	$0$	$3.573526491$	$1$		$2$	$1327104$	$1.381227$	$-3937024/12375$	$0.76926$	$3.05221$	$[0, 0, 0, -6825, -550375]$	\(y^2=x^3-6825x-550375\)	110.2.0.?	$[(109, 27)]$