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.l1	10906j1	10906.l	10906j	$1$	$1$	\( 2 \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{7} \cdot 7 \cdot 19^{2} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2296$	$2$	$0$	$0.235122195$	$1$		$6$	$2240$	$0.134429$	$344324701729/13261696$	$0.81741$	$2.85734$	$[1, 0, 0, -146, 644]$	\(y^2+xy=x^3-146x+644\)	2296.2.0.?	$[(2, 18)]$
76342.t1	76342p1	76342.t	76342p	$1$	$1$	\( 2 \cdot 7^{2} \cdot 19 \cdot 41 \)	\( 2^{7} \cdot 7^{7} \cdot 19^{2} \cdot 41 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$0.469957329$	$1$		$16$	$107520$	$1.107384$	$344324701729/13261696$	$0.81741$	$3.40126$	$[1, 1, 1, -7155, -228047]$	\(y^2+xy+y=x^3+x^2-7155x-228047\)	2296.2.0.?	$[(251, 3598), (-43, 70)]$
87248.j1	87248t1	87248.j	87248t	$1$	$1$	\( 2^{4} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{19} \cdot 7 \cdot 19^{2} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$1.800627778$	$1$		$2$	$53760$	$0.827576$	$344324701729/13261696$	$0.81741$	$3.06620$	$[0, -1, 0, -2336, -41216]$	\(y^2=x^3-x^2-2336x-41216\)	2296.2.0.?	$[(-27, 38)]$
98154.ba1	98154t1	98154.ba	98154t	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{7} \cdot 3^{6} \cdot 7 \cdot 19^{2} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$1$	$1$		$0$	$67200$	$0.683735$	$344324701729/13261696$	$0.81741$	$2.88461$	$[1, -1, 0, -1314, -17388]$	\(y^2+xy=x^3-x^2-1314x-17388\)	2296.2.0.?	$[]$
207214.f1	207214s1	207214.f	207214s	$1$	$1$	\( 2 \cdot 7 \cdot 19^{2} \cdot 41 \)	\( 2^{7} \cdot 7 \cdot 19^{8} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$1.699236552$	$1$		$4$	$806400$	$1.606647$	$344324701729/13261696$	$0.81741$	$3.61324$	$[1, 1, 0, -52713, -4522619]$	\(y^2+xy=x^3+x^2-52713x-4522619\)	2296.2.0.?	$[(321, 3269)]$
272650.h1	272650h1	272650.h	272650h	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{7} \cdot 5^{6} \cdot 7 \cdot 19^{2} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$2.003885080$	$1$		$4$	$313600$	$0.939148$	$344324701729/13261696$	$0.81741$	$2.89403$	$[1, 1, 0, -3650, 80500]$	\(y^2+xy=x^3+x^2-3650x+80500\)	2296.2.0.?	$[(29, -5)]$
348992.y1	348992y1	348992.y	348992y	$1$	$1$	\( 2^{6} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{25} \cdot 7 \cdot 19^{2} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$0.899091249$	$1$		$4$	$430080$	$1.174149$	$344324701729/13261696$	$0.81741$	$3.05901$	$[0, -1, 0, -9345, 339073]$	\(y^2=x^3-x^2-9345x+339073\)	2296.2.0.?	$[(33, 256)]$
348992.by1	348992by1	348992.by	348992by	$1$	$1$	\( 2^{6} \cdot 7 \cdot 19 \cdot 41 \)	\( 2^{25} \cdot 7 \cdot 19^{2} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$1$	$1$		$0$	$430080$	$1.174149$	$344324701729/13261696$	$0.81741$	$3.05901$	$[0, 1, 0, -9345, -339073]$	\(y^2=x^3+x^2-9345x-339073\)	2296.2.0.?	$[]$
447146.x1	447146x1	447146.x	447146x	$1$	$1$	\( 2 \cdot 7 \cdot 19 \cdot 41^{2} \)	\( 2^{7} \cdot 7 \cdot 19^{2} \cdot 41^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2296$	$2$	$0$	$0.318530466$	$1$		$6$	$3763200$	$1.991215$	$344324701729/13261696$	$0.81741$	$3.75433$	$[1, 1, 1, -245461, 45121467]$	\(y^2+xy+y=x^3+x^2-245461x+45121467\)	2296.2.0.?	$[(1643, 63056)]$