Elliptic curves over $\Q$ of conductor 20510

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
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.?	$[(-861/5, 2427/5)]$
20510.a2	20510b1	20510.a	20510b	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 293 \)	\( 2^{2} \cdot 5 \cdot 7^{6} \cdot 293 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$82040$	$12$	$0$	$2.736768833$	$1$		$3$	$6912$	$0.396801$	$1925599082121/689423140$	$0.87306$	$2.84895$	$[1, -1, 0, -259, -927]$	\(y^2+xy=x^3-x^2-259x-927\)	2.3.0.a.1, 56.6.0.d.1, 2930.6.0.?, 82040.12.0.?	$[(-7, 26)]$
20510.b1	20510a2	20510.b	20510a	$2$	$3$	\( 2 \cdot 5 \cdot 7 \cdot 293 \)	\( 2^{12} \cdot 5^{15} \cdot 7^{3} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$123060$	$16$	$0$	$3.259049849$	$1$		$2$	$336960$	$2.359051$	$26744657491710624461689/12562375000000000000$	$0.97021$	$5.20116$	$[1, 0, 1, -623024, 82090366]$	\(y^2+xy+y=x^3-623024x+82090366\)	3.8.0-3.a.1.1, 41020.2.0.?, 123060.16.0.?	$[(121, 2851)]$
20510.b2	20510a1	20510.b	20510a	$2$	$3$	\( 2 \cdot 5 \cdot 7 \cdot 293 \)	\( 2^{4} \cdot 5^{5} \cdot 7 \cdot 293^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$123060$	$16$	$0$	$9.777149547$	$1$		$2$	$112320$	$1.809746$	$15461341616731869233929/8803814950000$	$0.95314$	$5.14597$	$[1, 0, 1, -519009, 143872932]$	\(y^2+xy+y=x^3-519009x+143872932\)	3.8.0-3.a.1.2, 41020.2.0.?, 123060.16.0.?	$[(568767/37, -9992598/37)]$
20510.c1	20510e2	20510.c	20510e	$2$	$7$	\( 2 \cdot 5 \cdot 7 \cdot 293 \)	\( - 2 \cdot 5 \cdot 7 \cdot 293^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$82040$	$96$	$2$	$1$	$49$	$7$	$0$	$2765952$	$2.604774$	$-18864891308791949569351281/12976912684820654990$	$0.99586$	$5.86187$	$[1, -1, 1, -5545962, -5028652761]$	\(y^2+xy+y=x^3-x^2-5545962x-5028652761\)	7.48.0-7.a.2.2, 82040.96.2.?	$[]$
20510.c2	20510e1	20510.c	20510e	$2$	$7$	\( 2 \cdot 5 \cdot 7 \cdot 293 \)	\( - 2^{7} \cdot 5^{7} \cdot 7^{7} \cdot 293 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$82040$	$96$	$2$	$1$	$1$		$6$	$395136$	$1.631819$	$97487796040631919/2412980990000000$	$0.96304$	$4.31586$	$[1, -1, 1, 9588, 2333199]$	\(y^2+xy+y=x^3-x^2+9588x+2333199\)	7.48.0-7.a.1.2, 82040.96.2.?	$[]$
20510.d1	20510c1	20510.d	20510c	$1$	$1$	\( 2 \cdot 5 \cdot 7 \cdot 293 \)	\( - 2 \cdot 5^{3} \cdot 7 \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$82040$	$2$	$0$	$1$	$1$		$0$	$2304$	$-0.218685$	$371694959/512750$	$0.74553$	$2.02025$	$[1, 0, 0, 15, -25]$	\(y^2+xy=x^3+15x-25\)	82040.2.0.?	$[]$
20510.e1	20510f1	20510.e	20510f	$1$	$1$	\( 2 \cdot 5 \cdot 7 \cdot 293 \)	\( 2^{8} \cdot 5 \cdot 7^{5} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$41020$	$2$	$0$	$0.252662328$	$1$		$4$	$14720$	$0.596094$	$31080575499121/6303297280$	$0.84650$	$3.12908$	$[1, 0, 0, -655, -5255]$	\(y^2+xy=x^3-655x-5255\)	41020.2.0.?	$[(-18, 37)]$
20510.f1	20510d1	20510.f	20510d	$1$	$1$	\( 2 \cdot 5 \cdot 7 \cdot 293 \)	\( 2^{10} \cdot 5 \cdot 7 \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$41020$	$2$	$0$	$1$	$1$		$0$	$15840$	$0.305472$	$23494409378721/10501120$	$0.85144$	$3.10090$	$[1, -1, 1, -597, -5459]$	\(y^2+xy+y=x^3-x^2-597x-5459\)	41020.2.0.?	$[]$