Elliptic curve search results

Results (8 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
95550.cx1	95550cv1	95550.cx	95550cv	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3 \cdot 5^{8} \cdot 7^{2} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$1101600$	$1.808353$	$4772330903305/570306048$	$0.94358$	$4.00798$	$[1, 1, 0, -93825, -9892875]$	\(y^2+xy=x^3+x^2-93825x-9892875\)	312.2.0.?	$[]$
95550.fs1	95550eu1	95550.fs	95550eu	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3 \cdot 5^{8} \cdot 7^{8} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$15.47589334$	$1$		$0$	$7711200$	$2.781307$	$4772330903305/570306048$	$0.94358$	$5.02613$	$[1, 0, 1, -4597451, 3379463798]$	\(y^2+xy+y=x^3-4597451x+3379463798\)	312.2.0.?	$[(-30094058/111, 10180729516/111)]$
95550.iq1	95550gd1	95550.iq	95550gd	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3 \cdot 5^{2} \cdot 7^{8} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.228616416$	$1$		$4$	$1542240$	$1.976589$	$4772330903305/570306048$	$0.94358$	$4.18403$	$[1, 1, 1, -183898, 26962151]$	\(y^2+xy+y=x^3+x^2-183898x+26962151\)	312.2.0.?	$[(69, 3787)]$
95550.ld1	95550jm1	95550.ld	95550jm	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$220320$	$1.003635$	$4772330903305/570306048$	$0.94358$	$3.16589$	$[1, 0, 0, -3753, -79143]$	\(y^2+xy=x^3-3753x-79143\)	312.2.0.?	$[]$
286650.o1	286650o1	286650.o	286650o	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 7^{2} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$5.127970182$	$1$		$2$	$1762560$	$1.552940$	$4772330903305/570306048$	$0.94358$	$3.41367$	$[1, -1, 0, -33777, 2136861]$	\(y^2+xy=x^3-x^2-33777x+2136861\)	312.2.0.?	$[(25, 1131)]$
286650.r1	286650r1	286650.r	286650r	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 7^{8} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.748888717$	$1$		$4$	$12337920$	$2.525898$	$4772330903305/570306048$	$0.94358$	$4.34280$	$[1, -1, 0, -1655082, -729633164]$	\(y^2+xy=x^3-x^2-1655082x-729633164\)	312.2.0.?	$[(1703, 36413)]$
286650.jd1	286650jd1	286650.jd	286650jd	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{7} \cdot 5^{8} \cdot 7^{8} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$61689600$	$3.330616$	$4772330903305/570306048$	$0.94358$	$5.11127$	$[1, -1, 1, -41377055, -91245522553]$	\(y^2+xy+y=x^3-x^2-41377055x-91245522553\)	312.2.0.?	$[]$
286650.jf1	286650jf1	286650.jf	286650jf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{7} \cdot 5^{8} \cdot 7^{2} \cdot 13^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.176038788$	$1$		$30$	$8812800$	$2.357658$	$4772330903305/570306048$	$0.94358$	$4.18214$	$[1, -1, 1, -844430, 266263197]$	\(y^2+xy+y=x^3-x^2-844430x+266263197\)	312.2.0.?	$[(-631, 23715), (773, 8271)]$