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
9338.g2	9338f1	9338.g	9338f	$2$	$2$	\( 2 \cdot 7 \cdot 23 \cdot 29 \)	\( - 2^{4} \cdot 7 \cdot 23^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$644$	$12$	$0$	$0.964011705$	$1$		$3$	$2688$	$0.166471$	$86058173375/49827568$	$0.91788$	$2.75418$	$[1, 0, 0, 92, 0]$	\(y^2+xy=x^3+92x\)	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(18, 78)]$
65366.t2	65366r1	65366.t	65366r	$2$	$2$	\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \)	\( - 2^{4} \cdot 7^{7} \cdot 23^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$129024$	$1.139425$	$86058173375/49827568$	$0.91788$	$3.32382$	$[1, 1, 1, 4507, 4507]$	\(y^2+xy+y=x^3+x^2+4507x+4507\)	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[]$
74704.s2	74704q1	74704.s	74704q	$2$	$2$	\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \)	\( - 2^{16} \cdot 7 \cdot 23^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$644$	$12$	$0$	$3.771921111$	$1$		$3$	$64512$	$0.859618$	$86058173375/49827568$	$0.91788$	$2.98505$	$[0, -1, 0, 1472, 0]$	\(y^2=x^3-x^2+1472x\)	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(450, 9570)]$
84042.l2	84042p1	84042.l	84042p	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \)	\( - 2^{4} \cdot 3^{6} \cdot 7 \cdot 23^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$644$	$12$	$0$	$1.048174483$	$1$		$7$	$64512$	$0.715777$	$86058173375/49827568$	$0.91788$	$2.80181$	$[1, -1, 0, 828, 0]$	\(y^2+xy=x^3-x^2+828x\)	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(4, 56)]$
214774.k2	214774a1	214774.k	214774a	$2$	$2$	\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \)	\( - 2^{4} \cdot 7 \cdot 23^{8} \cdot 29^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$644$	$12$	$0$	$6.943004778$	$1$		$7$	$1419264$	$1.734219$	$86058173375/49827568$	$0.91788$	$3.58313$	$[1, 0, 0, 48657, 97321]$	\(y^2+xy=x^3+48657x+97321\)	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(2252, 106261), (48, 1571)]$
233450.bk2	233450bk1	233450.bk	233450bk	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \)	\( - 2^{4} \cdot 5^{6} \cdot 7 \cdot 23^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$387072$	$0.971189$	$86058173375/49827568$	$0.91788$	$2.81819$	$[1, 1, 0, 2300, 0]$	\(y^2+xy=x^3+x^2+2300x\)	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[]$
270802.j2	270802j1	270802.j	270802j	$2$	$2$	\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \)	\( - 2^{4} \cdot 7 \cdot 23^{2} \cdot 29^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$2257920$	$1.850119$	$86058173375/49827568$	$0.91788$	$3.62791$	$[1, 1, 0, 77355, -154723]$	\(y^2+xy=x^3+x^2+77355x-154723\)	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[]$
298816.h2	298816h1	298816.h	298816h	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \)	\( - 2^{22} \cdot 7 \cdot 23^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$516096$	$1.206192$	$86058173375/49827568$	$0.91788$	$2.98669$	$[0, 1, 0, 5887, 5887]$	\(y^2=x^3+x^2+5887x+5887\)	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[]$
298816.by2	298816by1	298816.by	298816by	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \)	\( - 2^{22} \cdot 7 \cdot 23^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$644$	$12$	$0$	$5.981609869$	$1$		$3$	$516096$	$1.206192$	$86058173375/49827568$	$0.91788$	$2.98669$	$[0, -1, 0, 5887, -5887]$	\(y^2=x^3-x^2+5887x-5887\)	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(1864, 80523)]$