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
5010.a1	5010a2	5010.a	5010a	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 167 \)	\( 2^{7} \cdot 3^{6} \cdot 5^{10} \cdot 167 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1$	$1$		$0$	$30240$	$1.642057$	$156406207396688718841/152178750000000$	$0.98374$	$5.45815$	$[1, 1, 0, -112247, -14509419]$	\(y^2+xy=x^3+x^2-112247x-14509419\)	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[]$
15030.k1	15030l2	15030.k	15030l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{7} \cdot 3^{12} \cdot 5^{10} \cdot 167 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1$	$1$		$0$	$241920$	$2.191364$	$156406207396688718841/152178750000000$	$0.98374$	$5.52004$	$[1, -1, 1, -1010228, 390744087]$	\(y^2+xy+y=x^3-x^2-1010228x+390744087\)	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[]$
25050.y1	25050x2	25050.y	25050x	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( 2^{7} \cdot 3^{6} \cdot 5^{16} \cdot 167 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1$	$1$		$0$	$725760$	$2.446777$	$156406207396688718841/152178750000000$	$0.98374$	$5.54425$	$[1, 0, 0, -2806188, -1808065008]$	\(y^2+xy=x^3-2806188x-1808065008\)	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[]$
40080.be1	40080be2	40080.be	40080be	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 167 \)	\( 2^{19} \cdot 3^{6} \cdot 5^{10} \cdot 167 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$0.416747694$	$1$		$9$	$725760$	$2.335205$	$156406207396688718841/152178750000000$	$0.98374$	$5.17206$	$[0, 1, 0, -1795960, 925010900]$	\(y^2=x^3+x^2-1795960x+925010900\)	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[(710, 2880)]$
75150.h1	75150i2	75150.h	75150i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( 2^{7} \cdot 3^{12} \cdot 5^{16} \cdot 167 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$12.72200183$	$1$		$10$	$5806080$	$2.996082$	$156406207396688718841/152178750000000$	$0.98374$	$5.58884$	$[1, -1, 0, -25255692, 48817755216]$	\(y^2+xy=x^3-x^2-25255692x+48817755216\)	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[(2529, 32148), (2829, 723)]$
120240.h1	120240ca2	120240.h	120240ca	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{19} \cdot 3^{12} \cdot 5^{10} \cdot 167 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$17.91355288$	$1$		$1$	$5806080$	$2.884510$	$156406207396688718841/152178750000000$	$0.98374$	$5.24982$	$[0, 0, 0, -16163643, -24991457942]$	\(y^2=x^3-16163643x-24991457942\)	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[(696648602/323, 13680398852838/323)]$
160320.h1	160320bh2	160320.h	160320bh	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( 2^{25} \cdot 3^{6} \cdot 5^{10} \cdot 167 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$4.999677806$	$1$		$3$	$5806080$	$2.681778$	$156406207396688718841/152178750000000$	$0.98374$	$4.92082$	$[0, -1, 0, -7183841, 7407271041]$	\(y^2=x^3-x^2-7183841x+7407271041\)	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[(21005, 3020544)]$
160320.bx1	160320by2	160320.bx	160320by	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( 2^{25} \cdot 3^{6} \cdot 5^{10} \cdot 167 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1$	$1$		$1$	$5806080$	$2.681778$	$156406207396688718841/152178750000000$	$0.98374$	$4.92082$	$[0, 1, 0, -7183841, -7407271041]$	\(y^2=x^3+x^2-7183841x-7407271041\)	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[]$
200400.w1	200400bm2	200400.w	200400bm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( 2^{19} \cdot 3^{6} \cdot 5^{16} \cdot 167 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1$	$1$		$1$	$17418240$	$3.139923$	$156406207396688718841/152178750000000$	$0.98374$	$5.28121$	$[0, -1, 0, -44899008, 115716160512]$	\(y^2=x^3-x^2-44899008x+115716160512\)	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[]$
245490.s1	245490s2	245490.s	245490s	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 167 \)	\( 2^{7} \cdot 3^{6} \cdot 5^{10} \cdot 7^{6} \cdot 167 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1$	$1$		$0$	$10886400$	$2.615013$	$156406207396688718841/152178750000000$	$0.98374$	$4.68733$	$[1, 0, 1, -5500129, 4960230356]$	\(y^2+xy+y=x^3-5500129x+4960230356\)	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[]$
480960.eg1	480960eg2	480960.eg	480960eg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{25} \cdot 3^{12} \cdot 5^{10} \cdot 167 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1$	$1$		$1$	$46448640$	$3.231087$	$156406207396688718841/152178750000000$	$0.98374$	$5.01144$	$[0, 0, 0, -64654572, -199931663536]$	\(y^2=x^3-64654572x-199931663536\)	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[]$
480960.fl1	480960fl2	480960.fl	480960fl	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{25} \cdot 3^{12} \cdot 5^{10} \cdot 167 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1$	$1$		$1$	$46448640$	$3.231087$	$156406207396688718841/152178750000000$	$0.98374$	$5.01144$	$[0, 0, 0, -64654572, 199931663536]$	\(y^2=x^3-64654572x+199931663536\)	2.3.0.a.1, 60.6.0.c.1, 1336.6.0.?, 20040.12.0.?	$[]$