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
55545.j1	55545a1	55545.j	55545a	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 3^{10} \cdot 5 \cdot 7^{2} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1.218754801$	$1$		$4$	$107520$	$1.261393$	$2580674412544/14467005$	$0.99035$	$3.76396$	$[0, -1, 1, -18691, 985032]$	\(y^2+y=x^3-x^2-18691x+985032\)	10.2.0.a.1	$[(70, 121)]$
55545.k1	55545d1	55545.k	55545d	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 3^{10} \cdot 5 \cdot 7^{2} \cdot 23^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$7.629529021$	$1$		$2$	$2472960$	$2.829140$	$2580674412544/14467005$	$0.99035$	$5.48598$	$[0, -1, 1, -9887715, -11905786114]$	\(y^2+y=x^3-x^2-9887715x-11905786114\)	10.2.0.a.1	$[(3632, 8949)]$
166635.w1	166635be1	166635.w	166635be	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 3^{16} \cdot 5 \cdot 7^{2} \cdot 23^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$12.14091569$	$1$		$0$	$19783680$	$3.378445$	$2580674412544/14467005$	$0.99035$	$5.53294$	$[0, 0, 1, -88989438, 321545214508]$	\(y^2+y=x^3-88989438x+321545214508\)	10.2.0.a.1	$[(762854/11, 140209149/11)]$
166635.bc1	166635r1	166635.bc	166635r	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 3^{16} \cdot 5 \cdot 7^{2} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1.735968470$	$1$		$2$	$860160$	$1.810698$	$2580674412544/14467005$	$0.99035$	$3.96827$	$[0, 0, 1, -168222, -26427650]$	\(y^2+y=x^3-168222x-26427650\)	10.2.0.a.1	$[(-230, 310)]$
277725.br1	277725br1	277725.br	277725br	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( 3^{10} \cdot 5^{7} \cdot 7^{2} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.202578949$	$1$		$8$	$2580480$	$2.066113$	$2580674412544/14467005$	$0.99035$	$4.05107$	$[0, 1, 1, -467283, 122194469]$	\(y^2+y=x^3+x^2-467283x+122194469\)	10.2.0.a.1	$[(843, 18112)]$
277725.bs1	277725bs1	277725.bs	277725bs	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( 3^{10} \cdot 5^{7} \cdot 7^{2} \cdot 23^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$59351040$	$3.633858$	$2580674412544/14467005$	$0.99035$	$5.55198$	$[0, 1, 1, -247192883, -1488717649981]$	\(y^2+y=x^3+x^2-247192883x-1488717649981\)	10.2.0.a.1	$[]$
388815.cg1	388815cg1	388815.cg	388815cg	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( 3^{10} \cdot 5 \cdot 7^{8} \cdot 23^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$118702080$	$3.802094$	$2580674412544/14467005$	$0.99035$	$5.56369$	$[0, 1, 1, -484498051, 4084653633106]$	\(y^2+y=x^3+x^2-484498051x+4084653633106\)	10.2.0.a.1	$[]$
388815.ct1	388815ct1	388815.ct	388815ct	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	\( 3^{10} \cdot 5 \cdot 7^{8} \cdot 23^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$3.466640368$	$1$		$2$	$5160960$	$2.234348$	$2580674412544/14467005$	$0.99035$	$4.10202$	$[0, 1, 1, -915875, -336034324]$	\(y^2+y=x^3+x^2-915875x-336034324\)	10.2.0.a.1	$[(-542, 1201)]$