Elliptic curve search results

Results (5 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
20510.a1	20510b2	20510.a	20510b	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 293 \)	\( 2 \cdot 5^{2} \cdot 7^{3} \cdot 293^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$82040$	$12$	$0$	$5.473537666$	$1$		$0$	$13824$	$0.743374$	$5552849431422441/1472310350$	$0.89452$	$3.65135$	$[1, -1, 0, -3689, -85305]$	\(y^2+xy=x^3-x^2-3689x-85305\)	2.3.0.a.1, 56.6.0.a.1, 5860.6.0.?, 82040.12.0.?	$[(-861/5, 2427/5)]$
102550.u1	102550u2	102550.u	102550u	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 293 \)	\( 2 \cdot 5^{8} \cdot 7^{3} \cdot 293^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$82040$	$12$	$0$	$6.153773008$	$1$		$0$	$331776$	$1.548092$	$5552849431422441/1472310350$	$0.89452$	$3.97896$	$[1, -1, 1, -92230, -10755353]$	\(y^2+xy+y=x^3-x^2-92230x-10755353\)	2.3.0.a.1, 56.6.0.a.1, 5860.6.0.?, 82040.12.0.?	$[(-6365/6, 25511/6)]$
143570.e1	143570p2	143570.e	143570p	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \)	\( 2 \cdot 5^{2} \cdot 7^{9} \cdot 293^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$82040$	$12$	$0$	$1$	$1$		$0$	$663552$	$1.716330$	$5552849431422441/1472310350$	$0.89452$	$4.03623$	$[1, -1, 0, -180770, 29621150]$	\(y^2+xy=x^3-x^2-180770x+29621150\)	2.3.0.a.1, 56.6.0.a.1, 5860.6.0.?, 82040.12.0.?	$[]$
164080.k1	164080h2	164080.k	164080h	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 293 \)	\( 2^{13} \cdot 5^{2} \cdot 7^{3} \cdot 293^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$82040$	$12$	$0$	$0.965020478$	$1$		$5$	$331776$	$1.436522$	$5552849431422441/1472310350$	$0.89452$	$3.71173$	$[0, 0, 0, -59027, 5518546]$	\(y^2=x^3-59027x+5518546\)	2.3.0.a.1, 56.6.0.a.1, 5860.6.0.?, 82040.12.0.?	$[(97, 840)]$
184590.t1	184590h2	184590.t	184590h	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 293 \)	\( 2 \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \cdot 293^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$82040$	$12$	$0$	$5.085174881$	$1$		$0$	$442368$	$1.292681$	$5552849431422441/1472310350$	$0.89452$	$3.53333$	$[1, -1, 1, -33203, 2336437]$	\(y^2+xy+y=x^3-x^2-33203x+2336437\)	2.3.0.a.1, 56.6.0.a.1, 5860.6.0.?, 82040.12.0.?	$[(6287/2, 488879/2)]$