Elliptic curve search results

Results (12 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
25410.p1	25410l1	25410.p	25410l	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{6} \cdot 5 \cdot 7^{5} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$2.691767877$	$1$		$2$	$112320$	$1.479404$	$-73853319448242961/501854330880$	$0.98814$	$4.30334$	$[1, 1, 0, -43232, 3462144]$	\(y^2+xy=x^3+x^2-43232x+3462144\)	280.2.0.?	$[(125, 113)]$
25410.cd1	25410cf1	25410.cd	25410cf	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{6} \cdot 5 \cdot 7^{5} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$0.387400634$	$1$		$8$	$1235520$	$2.678352$	$-73853319448242961/501854330880$	$0.98814$	$5.72181$	$[1, 1, 1, -5231135, -4634269243]$	\(y^2+xy+y=x^3+x^2-5231135x-4634269243\)	280.2.0.?	$[(3075, 89938)]$
76230.u1	76230bf1	76230.u	76230bf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{12} \cdot 5 \cdot 7^{5} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$9884160$	$3.227657$	$-73853319448242961/501854330880$	$0.98814$	$5.74899$	$[1, -1, 0, -47080215, 125078189341]$	\(y^2+xy=x^3-x^2-47080215x+125078189341\)	280.2.0.?	$[]$
76230.db1	76230dj1	76230.db	76230dj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{12} \cdot 5 \cdot 7^{5} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$898560$	$2.028709$	$-73853319448242961/501854330880$	$0.98814$	$4.46915$	$[1, -1, 1, -389093, -93866979]$	\(y^2+xy+y=x^3-x^2-389093x-93866979\)	280.2.0.?	$[]$
127050.de1	127050cq1	127050.de	127050cq	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{6} \cdot 5^{7} \cdot 7^{5} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$3.787604472$	$1$		$2$	$29652480$	$3.483070$	$-73853319448242961/501854330880$	$0.98814$	$5.75990$	$[1, 0, 1, -130778376, -579022098602]$	\(y^2+xy+y=x^3-130778376x-579022098602\)	280.2.0.?	$[(13562, 369831)]$
127050.io1	127050hx1	127050.io	127050hx	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{6} \cdot 5^{7} \cdot 7^{5} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$0.033026694$	$1$		$20$	$2695680$	$2.284122$	$-73853319448242961/501854330880$	$0.98814$	$4.53569$	$[1, 0, 0, -1080813, 434929617]$	\(y^2+xy=x^3-1080813x+434929617\)	280.2.0.?	$[(-558, 29679)]$
177870.co1	177870gd1	177870.co	177870gd	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{6} \cdot 5 \cdot 7^{11} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$5391360$	$2.452358$	$-73853319448242961/501854330880$	$0.98814$	$4.57645$	$[1, 0, 1, -2118394, -1193870548]$	\(y^2+xy+y=x^3-2118394x-1193870548\)	280.2.0.?	$[]$
177870.hk1	177870bv1	177870.hk	177870bv	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{6} \cdot 5 \cdot 7^{11} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$0.218783766$	$1$		$8$	$59304960$	$3.651306$	$-73853319448242961/501854330880$	$0.98814$	$5.76659$	$[1, 0, 0, -256325616, 1588785373440]$	\(y^2+xy=x^3-256325616x+1588785373440\)	280.2.0.?	$[(14046, 864540)]$
203280.fs1	203280u1	203280.fs	203280u	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{25} \cdot 3^{6} \cdot 5 \cdot 7^{5} \cdot 11^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$4.422728768$	$1$		$2$	$29652480$	$3.371498$	$-73853319448242961/501854330880$	$0.98814$	$5.42887$	$[0, 1, 0, -83698160, 296425835220]$	\(y^2=x^3+x^2-83698160x+296425835220\)	280.2.0.?	$[(-7406, 714240)]$
203280.he1	203280k1	203280.he	203280k	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{25} \cdot 3^{6} \cdot 5 \cdot 7^{5} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$2695680$	$2.172550$	$-73853319448242961/501854330880$	$0.98814$	$4.25173$	$[0, 1, 0, -691720, -222960652]$	\(y^2=x^3+x^2-691720x-222960652\)	280.2.0.?	$[]$
381150.fn1	381150fn1	381150.fn	381150fn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{12} \cdot 5^{7} \cdot 7^{5} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$21565440$	$2.833431$	$-73853319448242961/501854330880$	$0.98814$	$4.66087$	$[1, -1, 0, -9727317, -11743099659]$	\(y^2+xy=x^3-x^2-9727317x-11743099659\)	280.2.0.?	$[]$
381150.ln1	381150ln1	381150.ln	381150ln	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{13} \cdot 3^{12} \cdot 5^{7} \cdot 7^{5} \cdot 11^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$280$	$2$	$0$	$1$	$1$		$0$	$237219840$	$4.032379$	$-73853319448242961/501854330880$	$0.98814$	$5.78043$	$[1, -1, 1, -1177005380, 15633596662247]$	\(y^2+xy+y=x^3-x^2-1177005380x+15633596662247\)	280.2.0.?	$[]$