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.cv1	95550bw1	95550.cv	95550bw	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$0.643086983$	$1$		$4$	$40320$	$0.258602$	$-78683185/119808$	$0.86449$	$2.31798$	$[1, 1, 0, -95, 645]$	\(y^2+xy=x^3+x^2-95x+645\)	52.2.0.a.1	$[(14, 41)]$
95550.fu1	95550dd1	95550.fu	95550dd	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$282240$	$1.231556$	$-78683185/119808$	$0.86449$	$3.33612$	$[1, 0, 1, -4681, -235252]$	\(y^2+xy+y=x^3-4681x-235252\)	52.2.0.a.1	$[]$
95550.io1	95550hs1	95550.io	95550hs	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 7^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$1411200$	$2.036274$	$-78683185/119808$	$0.86449$	$4.17821$	$[1, 1, 1, -117013, -29406469]$	\(y^2+xy+y=x^3+x^2-117013x-29406469\)	52.2.0.a.1	$[]$
95550.lf1	95550ky1	95550.lf	95550ky	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$0.334879162$	$1$		$6$	$201600$	$1.063320$	$-78683185/119808$	$0.86449$	$3.16007$	$[1, 0, 0, -2388, 85392]$	\(y^2+xy=x^3-2388x+85392\)	52.2.0.a.1	$[(-48, 324)]$
286650.m1	286650m1	286650.m	286650m	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$1612800$	$1.612627$	$-78683185/119808$	$0.86449$	$3.40836$	$[1, -1, 0, -21492, -2305584]$	\(y^2+xy=x^3-x^2-21492x-2305584\)	52.2.0.a.1	$[]$
286650.u1	286650u1	286650.u	286650u	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 7^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1$	$1$		$0$	$11289600$	$2.585583$	$-78683185/119808$	$0.86449$	$4.33749$	$[1, -1, 0, -1053117, 792921541]$	\(y^2+xy=x^3-x^2-1053117x+792921541\)	52.2.0.a.1	$[]$
286650.jb1	286650jb1	286650.jb	286650jb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 7^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$0.431440544$	$1$		$8$	$2257920$	$1.780863$	$-78683185/119808$	$0.86449$	$3.56902$	$[1, -1, 1, -42125, 6351797]$	\(y^2+xy+y=x^3-x^2-42125x+6351797\)	52.2.0.a.1	$[(135, 1696)]$
286650.jh1	286650jh1	286650.jh	286650jh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$52$	$2$	$0$	$1.451736470$	$1$		$2$	$322560$	$0.807908$	$-78683185/119808$	$0.86449$	$2.63989$	$[1, -1, 1, -860, -18273]$	\(y^2+xy+y=x^3-x^2-860x-18273\)	52.2.0.a.1	$[(53, 261)]$