Elliptic curve search results

Results (25 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
1045.a2	1045a1	1045.a	1045a	$2$	$2$	\( 5 \cdot 11 \cdot 19 \)	\( 5^{2} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4180$	$12$	$0$	$0.684308081$	$1$		$7$	$64$	$-0.572618$	$24137569/5225$	$0.98391$	$2.44532$	$[1, 0, 0, -6, -5]$	\(y^2+xy=x^3-6x-5\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(3, 1)]$
5225.c2	5225a1	5225.c	5225a	$2$	$2$	\( 5^{2} \cdot 11 \cdot 19 \)	\( 5^{8} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$4.571005357$	$1$		$1$	$1536$	$0.232102$	$24137569/5225$	$0.98391$	$3.11357$	$[1, 1, 0, -150, -625]$	\(y^2+xy=x^3+x^2-150x-625\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(-74/3, 427/3)]$
9405.j2	9405m1	9405.j	9405m	$2$	$2$	\( 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( 3^{6} \cdot 5^{2} \cdot 11 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$1$	$1536$	$-0.023311$	$24137569/5225$	$0.98391$	$2.57853$	$[1, -1, 0, -54, 135]$	\(y^2+xy=x^3-x^2-54x+135\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[]$
11495.d2	11495c1	11495.d	11495c	$2$	$2$	\( 5 \cdot 11^{2} \cdot 19 \)	\( 5^{2} \cdot 11^{7} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1.261709732$	$1$		$5$	$7680$	$0.626330$	$24137569/5225$	$0.98391$	$3.35698$	$[1, 0, 1, -729, 5927]$	\(y^2+xy+y=x^3-729x+5927\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(65, 451)]$
16720.bg2	16720z1	16720.bg	16720z	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 5^{2} \cdot 11 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$1$	$4096$	$0.120530$	$24137569/5225$	$0.98391$	$2.60347$	$[0, -1, 0, -96, 320]$	\(y^2=x^3-x^2-96x+320\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[]$
19855.c2	19855a1	19855.c	19855a	$2$	$2$	\( 5 \cdot 11 \cdot 19^{2} \)	\( 5^{2} \cdot 11 \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$1$	$23040$	$0.899602$	$24137569/5225$	$0.98391$	$3.50295$	$[1, 1, 0, -2173, 29952]$	\(y^2+xy=x^3+x^2-2173x+29952\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[]$
47025.r2	47025bc1	47025.r	47025bc	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 3^{6} \cdot 5^{8} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1.688279364$	$1$		$5$	$36864$	$0.781408$	$24137569/5225$	$0.98391$	$3.09037$	$[1, -1, 1, -1355, 15522]$	\(y^2+xy+y=x^3-x^2-1355x+15522\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(54, 285)]$
51205.d2	51205o1	51205.d	51205o	$2$	$2$	\( 5 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 5^{2} \cdot 7^{6} \cdot 11 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$1$	$23040$	$0.400338$	$24137569/5225$	$0.98391$	$2.64439$	$[1, 1, 1, -295, 1420]$	\(y^2+xy+y=x^3+x^2-295x+1420\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[]$
57475.e2	57475j1	57475.e	57475j	$2$	$2$	\( 5^{2} \cdot 11^{2} \cdot 19 \)	\( 5^{8} \cdot 11^{7} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$2.438249491$	$1$		$3$	$184320$	$1.431049$	$24137569/5225$	$0.98391$	$3.74513$	$[1, 1, 1, -18213, 740906]$	\(y^2+xy+y=x^3+x^2-18213x+740906\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(204, 2257)]$
66880.w2	66880cz1	66880.w	66880cz	$2$	$2$	\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 5^{2} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1.322915341$	$1$		$5$	$32768$	$0.467103$	$24137569/5225$	$0.98391$	$2.65294$	$[0, 1, 0, -385, 2175]$	\(y^2=x^3+x^2-385x+2175\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(5, 20)]$
66880.dj2	66880bv1	66880.dj	66880bv	$2$	$2$	\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 5^{2} \cdot 11 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$1$	$32768$	$0.467103$	$24137569/5225$	$0.98391$	$2.65294$	$[0, -1, 0, -385, -2175]$	\(y^2=x^3-x^2-385x-2175\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[]$
83600.j2	83600cc1	83600.j	83600cc	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 5^{8} \cdot 11 \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1.971600993$	$1$		$17$	$98304$	$0.925249$	$24137569/5225$	$0.98391$	$3.08579$	$[0, 1, 0, -2408, 35188]$	\(y^2=x^3+x^2-2408x+35188\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(-2, 200), (-52, 150)]$
99275.b2	99275c1	99275.b	99275c	$2$	$2$	\( 5^{2} \cdot 11 \cdot 19^{2} \)	\( 5^{8} \cdot 11 \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$1$	$552960$	$1.704321$	$24137569/5225$	$0.98391$	$3.85224$	$[1, 0, 0, -54338, 3852667]$	\(y^2+xy=x^3-54338x+3852667\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[]$
103455.n2	103455bf1	103455.n	103455bf	$2$	$2$	\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 3^{6} \cdot 5^{2} \cdot 11^{7} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$4.297877617$	$1$		$5$	$184320$	$1.175636$	$24137569/5225$	$0.98391$	$3.28905$	$[1, -1, 1, -6557, -160036]$	\(y^2+xy+y=x^3-x^2-6557x-160036\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(-62, 103)]$
150480.dq2	150480ba1	150480.dq	150480ba	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$2.660378313$	$1$		$3$	$98304$	$0.669836$	$24137569/5225$	$0.98391$	$2.67655$	$[0, 0, 0, -867, -7774]$	\(y^2=x^3-867x-7774\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(41, 160)]$
176605.k2	176605j1	176605.k	176605j	$2$	$2$	\( 5 \cdot 11 \cdot 13^{2} \cdot 19 \)	\( 5^{2} \cdot 11 \cdot 13^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$1$	$122880$	$0.709858$	$24137569/5225$	$0.98391$	$2.68084$	$[1, 0, 1, -1018, -9969]$	\(y^2+xy+y=x^3-1018x-9969\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[]$
178695.k2	178695e1	178695.k	178695e	$2$	$2$	\( 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 3^{6} \cdot 5^{2} \cdot 11 \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$4.018145348$	$1$		$3$	$552960$	$1.448908$	$24137569/5225$	$0.98391$	$3.41157$	$[1, -1, 1, -19562, -828264]$	\(y^2+xy+y=x^3-x^2-19562x-828264\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(296, 4239)]$
183920.ch2	183920bo1	183920.ch	183920bo	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{12} \cdot 5^{2} \cdot 11^{7} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$3.660771112$	$1$		$3$	$491520$	$1.319477$	$24137569/5225$	$0.98391$	$3.27533$	$[0, -1, 0, -11656, -379344]$	\(y^2=x^3-x^2-11656x-379344\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(-39, 120)]$
218405.c2	218405c1	218405.c	218405c	$2$	$2$	\( 5 \cdot 11^{2} \cdot 19^{2} \)	\( 5^{2} \cdot 11^{7} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$4.406823001$	$1$		$1$	$2764800$	$2.098549$	$24137569/5225$	$0.98391$	$3.98998$	$[1, 1, 1, -262996, -41180996]$	\(y^2+xy+y=x^3+x^2-262996x-41180996\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(-713/2, 2887/2)]$
256025.x2	256025x1	256025.x	256025x	$2$	$2$	\( 5^{2} \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 5^{8} \cdot 7^{6} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$4.623829152$	$1$		$1$	$552960$	$1.205057$	$24137569/5225$	$0.98391$	$3.07808$	$[1, 0, 1, -7376, 192273]$	\(y^2+xy+y=x^3-7376x+192273\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(1003/3, 21982/3)]$
302005.e2	302005e1	302005.e	302005e	$2$	$2$	\( 5 \cdot 11 \cdot 17^{2} \cdot 19 \)	\( 5^{2} \cdot 11 \cdot 17^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$12.94486352$	$1$		$1$	$331776$	$0.843989$	$24137569/5225$	$0.98391$	$2.69441$	$[1, 1, 1, -1740, -22828]$	\(y^2+xy+y=x^3+x^2-1740x-22828\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(-362144/105, 1339556/105)]$
317680.m2	317680m1	317680.m	317680m	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{12} \cdot 5^{2} \cdot 11 \cdot 19^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$3.634648897$	$1$		$11$	$1474560$	$1.592749$	$24137569/5225$	$0.98391$	$3.39288$	$[0, 1, 0, -34776, -1986476]$	\(y^2=x^3+x^2-34776x-1986476\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(-108, 722), (30796/3, 5396950/3)]$
334400.bh2	334400bh1	334400.bh	334400bh	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 5^{8} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$3.448288475$	$1$		$3$	$786432$	$1.271822$	$24137569/5225$	$0.98391$	$3.07644$	$[0, 1, 0, -9633, -291137]$	\(y^2=x^3+x^2-9633x-291137\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(1203, 41600)]$
334400.fv2	334400fv1	334400.fv	334400fv	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 5^{8} \cdot 11 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$1$	$1$		$1$	$786432$	$1.271822$	$24137569/5225$	$0.98391$	$3.07644$	$[0, -1, 0, -9633, 291137]$	\(y^2=x^3-x^2-9633x+291137\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[]$
460845.ch2	460845ch1	460845.ch	460845ch	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4180$	$12$	$0$	$3.759537374$	$1$		$3$	$552960$	$0.949644$	$24137569/5225$	$0.98391$	$2.70431$	$[1, -1, 0, -2655, -41000]$	\(y^2+xy=x^3-x^2-2655x-41000\)	2.3.0.a.1, 20.6.0.c.1, 418.6.0.?, 4180.12.0.?	$[(-24, 104)]$