Elliptic curve search results

Results (14 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
7770.o1	7770m2	7770.o	7770m	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 \)	\( 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4440$	$12$	$0$	$0.671442555$	$1$		$8$	$207360$	$2.399712$	$517425559361898728438440369/38638656000$	$1.02149$	$6.86657$	$[1, 1, 1, -16725331, 26320565969]$	\(y^2+xy+y=x^3+x^2-16725331x+26320565969\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(2333, 1164)]$
23310.v1	23310w2	23310.v	23310w	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \)	\( 2^{9} \cdot 3^{8} \cdot 5^{3} \cdot 7^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$4$	$2$	$0$	$1658880$	$2.949017$	$517425559361898728438440369/38638656000$	$1.02149$	$6.77190$	$[1, -1, 0, -150527979, -710805809147]$	\(y^2+xy=x^3-x^2-150527979x-710805809147\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
38850.bg1	38850bd2	38850.bg	38850bd	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \)	\( 2^{9} \cdot 3^{2} \cdot 5^{9} \cdot 7^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$3.284851732$	$1$		$2$	$4976640$	$3.204430$	$517425559361898728438440369/38638656000$	$1.02149$	$6.73459$	$[1, 0, 1, -418133276, 3290907012698]$	\(y^2+xy+y=x^3-418133276x+3290907012698\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(10722, 195451)]$
54390.df1	54390cz2	54390.df	54390cz	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 7^{8} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$8.572742130$	$1$		$0$	$9953280$	$3.372665$	$517425559361898728438440369/38638656000$	$1.02149$	$6.71192$	$[1, 0, 0, -819541220, -9030412751088]$	\(y^2+xy=x^3-819541220x-9030412751088\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(356056/3, 121615076/3)]$
62160.br1	62160cc2	62160.br	62160cc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \)	\( 2^{21} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$22.69972084$	$1$		$1$	$4976640$	$3.092861$	$517425559361898728438440369/38638656000$	$1.02149$	$6.32651$	$[0, 1, 0, -267605296, -1685051432620]$	\(y^2=x^3+x^2-267605296x-1685051432620\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(2581106807666/11489, 1134305633672942976/11489)]$
116550.dh1	116550ef2	116550.dh	116550ef	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 37 \)	\( 2^{9} \cdot 3^{8} \cdot 5^{9} \cdot 7^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$0$	$39813120$	$3.753738$	$517425559361898728438440369/38638656000$	$1.02149$	$6.66541$	$[1, -1, 1, -3763199480, -88854489342853]$	\(y^2+xy+y=x^3-x^2-3763199480x-88854489342853\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
163170.l1	163170ej2	163170.l	163170ej	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{9} \cdot 3^{8} \cdot 5^{3} \cdot 7^{8} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$11.82241038$	$1$		$0$	$79626240$	$3.921974$	$517425559361898728438440369/38638656000$	$1.02149$	$6.64676$	$[1, -1, 0, -7375870980, 243821144279376]$	\(y^2+xy=x^3-x^2-7375870980x+243821144279376\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(26467015/23, 1798290598/23)]$
186480.du1	186480bc2	186480.du	186480bc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \)	\( 2^{21} \cdot 3^{8} \cdot 5^{3} \cdot 7^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$39813120$	$3.642166$	$517425559361898728438440369/38638656000$	$1.02149$	$6.29696$	$[0, 0, 0, -2408447667, 45493980233074]$	\(y^2=x^3-2408447667x+45493980233074\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
248640.cx1	248640cx2	248640.cx	248640cx	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \)	\( 2^{27} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$9$	$3$	$1$	$39813120$	$3.439434$	$517425559361898728438440369/38638656000$	$1.02149$	$5.95533$	$[0, -1, 0, -1070421185, -13479341039775]$	\(y^2=x^3-x^2-1070421185x-13479341039775\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
248640.hy1	248640hy2	248640.hy	248640hy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \)	\( 2^{27} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$5.449249372$	$1$		$3$	$39813120$	$3.439434$	$517425559361898728438440369/38638656000$	$1.02149$	$5.95533$	$[0, 1, 0, -1070421185, 13479341039775]$	\(y^2=x^3+x^2-1070421185x+13479341039775\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(-17075, 5174820)]$
271950.bs1	271950bs2	271950.bs	271950bs	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( 2^{9} \cdot 3^{2} \cdot 5^{9} \cdot 7^{8} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$106.5776167$	$1$		$0$	$238878720$	$4.177383$	$517425559361898728438440369/38638656000$	$1.02149$	$6.62036$	$[1, 1, 0, -20488530500, -1128801593886000]$	\(y^2+xy=x^3+x^2-20488530500x-1128801593886000\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(650881103324923989160846015537079711419862606415/554591939724775343999, 523698387871442446716170212081780895464136784833103459387068894819838420/554591939724775343999)]$
287490.y1	287490y2	287490.y	287490y	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37^{2} \)	\( 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$7.163858437$	$1$		$0$	$283668480$	$4.205170$	$517425559361898728438440369/38638656000$	$1.02149$	$6.61761$	$[1, 1, 0, -22896978167, 1333559082709269]$	\(y^2+xy=x^3+x^2-22896978167x+1333559082709269\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[(351567/2, 1817103/2)]$
310800.cm1	310800cm2	310800.cm	310800cm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \)	\( 2^{21} \cdot 3^{2} \cdot 5^{9} \cdot 7^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$119439360$	$3.897579$	$517425559361898728438440369/38638656000$	$1.02149$	$6.28496$	$[0, -1, 0, -6690132408, -210618048812688]$	\(y^2=x^3-x^2-6690132408x-210618048812688\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$
435120.co1	435120co2	435120.co	435120co	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( 2^{21} \cdot 3^{2} \cdot 5^{3} \cdot 7^{8} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4440$	$12$	$0$	$1$	$1$		$1$	$238878720$	$4.065811$	$517425559361898728438440369/38638656000$	$1.02149$	$6.27758$	$[0, -1, 0, -13112659520, 577946416069632]$	\(y^2=x^3-x^2-13112659520x+577946416069632\)	2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.?	$[]$