Elliptic curve search results

Results (17 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
5610.f1	5610h1	5610.f	5610h	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{13} \cdot 5 \cdot 11^{3} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$22440$	$2$	$0$	$1$	$1$		$0$	$9360$	$0.906981$	$610641930681719/360747465210$	$0.97142$	$3.94397$	$[1, 1, 0, 1768, 4866]$	\(y^2+xy=x^3+x^2+1768x+4866\)	22440.2.0.?	$[]$
16830.bm1	16830ci1	16830.bm	16830ci	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{19} \cdot 5 \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1.607569549$	$1$		$0$	$74880$	$1.456287$	$610641930681719/360747465210$	$0.97142$	$4.17609$	$[1, -1, 1, 15907, -115473]$	\(y^2+xy+y=x^3-x^2+15907x-115473\)	22440.2.0.?	$[(1085/4, 69969/4)]$
28050.dq1	28050de1	28050.dq	28050de	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{13} \cdot 5^{7} \cdot 11^{3} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$224640$	$1.711700$	$610641930681719/360747465210$	$0.97142$	$4.26706$	$[1, 0, 0, 44187, 519867]$	\(y^2+xy=x^3+44187x+519867\)	22440.2.0.?	$[]$
44880.cx1	44880cw1	44880.cx	44880cw	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{13} \cdot 3^{13} \cdot 5 \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.200136122$	$1$		$6$	$224640$	$1.600128$	$610641930681719/360747465210$	$0.97142$	$3.95484$	$[0, 1, 0, 28280, -254860]$	\(y^2=x^3+x^2+28280x-254860\)	22440.2.0.?	$[(758, 21384)]$
61710.cc1	61710cc1	61710.cc	61710cc	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2 \cdot 3^{13} \cdot 5 \cdot 11^{9} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$15.63325519$	$1$		$0$	$1123200$	$2.105930$	$610641930681719/360747465210$	$0.97142$	$4.39094$	$[1, 1, 1, 213865, -5407225]$	\(y^2+xy+y=x^3+x^2+213865x-5407225\)	22440.2.0.?	$[(409120619/10, 8273128137877/10)]$
84150.dd1	84150ck1	84150.dd	84150ck	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{19} \cdot 5^{7} \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1.745333254$	$1$		$4$	$1797120$	$2.261005$	$610641930681719/360747465210$	$0.97142$	$4.43494$	$[1, -1, 0, 397683, -14036409]$	\(y^2+xy=x^3-x^2+397683x-14036409\)	22440.2.0.?	$[(39, 1218)]$
95370.bf1	95370bg1	95370.bf	95370bg	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2 \cdot 3^{13} \cdot 5 \cdot 11^{3} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.306273189$	$1$		$6$	$2695680$	$2.323589$	$610641930681719/360747465210$	$0.97142$	$4.45203$	$[1, 0, 1, 510801, 20330692]$	\(y^2+xy+y=x^3+510801x+20330692\)	22440.2.0.?	$[(908, 34659)]$
134640.cc1	134640cj1	134640.cc	134640cj	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{13} \cdot 3^{19} \cdot 5 \cdot 11^{3} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$1797120$	$2.149433$	$610641930681719/360747465210$	$0.97142$	$4.14509$	$[0, 0, 0, 254517, 7135738]$	\(y^2=x^3+254517x+7135738\)	22440.2.0.?	$[]$
179520.bo1	179520ee1	179520.bo	179520ee	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{19} \cdot 3^{13} \cdot 5 \cdot 11^{3} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$9$	$3$	$0$	$1797120$	$1.946701$	$610641930681719/360747465210$	$0.97142$	$3.84543$	$[0, -1, 0, 113119, -2151999]$	\(y^2=x^3-x^2+113119x-2151999\)	22440.2.0.?	$[]$
179520.es1	179520ft1	179520.es	179520ft	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{19} \cdot 3^{13} \cdot 5 \cdot 11^{3} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.226439100$	$1$		$6$	$1797120$	$1.946701$	$610641930681719/360747465210$	$0.97142$	$3.84543$	$[0, 1, 0, 113119, 2151999]$	\(y^2=x^3+x^2+113119x+2151999\)	22440.2.0.?	$[(67, 3168)]$
185130.bc1	185130eo1	185130.bc	185130eo	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2 \cdot 3^{19} \cdot 5 \cdot 11^{9} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$7.096066963$	$1$		$0$	$8985600$	$2.655235$	$610641930681719/360747465210$	$0.97142$	$4.53668$	$[1, -1, 0, 1924785, 147919855]$	\(y^2+xy=x^3-x^2+1924785x+147919855\)	22440.2.0.?	$[(408137/29, 837580576/29)]$
224400.ba1	224400eo1	224400.ba	224400eo	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{13} \cdot 3^{13} \cdot 5^{7} \cdot 11^{3} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$5391360$	$2.404846$	$610641930681719/360747465210$	$0.97142$	$4.22199$	$[0, -1, 0, 706992, -33271488]$	\(y^2=x^3-x^2+706992x-33271488\)	22440.2.0.?	$[]$
274890.bv1	274890bv1	274890.bv	274890bv	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2 \cdot 3^{13} \cdot 5 \cdot 7^{6} \cdot 11^{3} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$3088800$	$1.879936$	$610641930681719/360747465210$	$0.97142$	$3.65063$	$[1, 0, 1, 86606, -1409194]$	\(y^2+xy+y=x^3+86606x-1409194\)	22440.2.0.?	$[]$
286110.go1	286110go1	286110.go	286110go	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2 \cdot 3^{19} \cdot 5 \cdot 11^{3} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$25$	$5$	$0$	$21565440$	$2.872894$	$610641930681719/360747465210$	$0.97142$	$4.58738$	$[1, -1, 1, 4597213, -548928691]$	\(y^2+xy+y=x^3-x^2+4597213x-548928691\)	22440.2.0.?	$[]$
308550.dd1	308550dd1	308550.dd	308550dd	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2 \cdot 3^{13} \cdot 5^{7} \cdot 11^{9} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.625698993$	$1$		$4$	$26956800$	$2.910648$	$610641930681719/360747465210$	$0.97142$	$4.59582$	$[1, 0, 1, 5346624, -686596352]$	\(y^2+xy+y=x^3+5346624x-686596352\)	22440.2.0.?	$[(626, 53592)]$
476850.ge1	476850ge1	476850.ge	476850ge	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2 \cdot 3^{13} \cdot 5^{7} \cdot 11^{3} \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$7.054229840$	$1$		$0$	$64696320$	$3.128307$	$610641930681719/360747465210$	$0.97142$	$4.64257$	$[1, 1, 1, 12770037, 2541336531]$	\(y^2+xy+y=x^3+x^2+12770037x+2541336531\)	22440.2.0.?	$[(17655/14, 166613593/14)]$
493680.gg1	493680gg1	493680.gg	493680gg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{13} \cdot 5 \cdot 11^{9} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$26956800$	$2.799076$	$610641930681719/360747465210$	$0.97142$	$4.32893$	$[0, 1, 0, 3421840, 352906068]$	\(y^2=x^3+x^2+3421840x+352906068\)	22440.2.0.?	$[]$