Elliptic curve search results

Results (30 matches)

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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
2850.i2	2850m1	2850.i	2850m	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{9} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.508404767$	$1$		$5$	$4800$	$0.974072$	$-3491055413/175104$	$0.98978$	$4.59349$	$[1, 0, 1, -3951, 99298]$	\(y^2+xy+y=x^3-3951x+99298\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(23, 132)]$
2850.t2	2850u1	2850.t	2850u	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$0.192207423$	$1$		$13$	$960$	$0.169353$	$-3491055413/175104$	$0.98978$	$3.37959$	$[1, 1, 1, -158, 731]$	\(y^2+xy+y=x^3+x^2-158x+731\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(5, 7)]$
8550.k2	8550p1	8550.k	8550p	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{3} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$2.254240955$	$1$		$5$	$7680$	$0.718659$	$-3491055413/175104$	$0.98978$	$3.69756$	$[1, -1, 0, -1422, -21164]$	\(y^2+xy=x^3-x^2-1422x-21164\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(89, 698)]$
8550.bb2	8550bj1	8550.bb	8550bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$38400$	$1.523378$	$-3491055413/175104$	$0.98978$	$4.76416$	$[1, -1, 1, -35555, -2681053]$	\(y^2+xy+y=x^3-x^2-35555x-2681053\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
22800.y2	22800co1	22800.y	22800co	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{22} \cdot 3^{2} \cdot 5^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$4$	$2$	$1$	$115200$	$1.667219$	$-3491055413/175104$	$0.98978$	$4.47050$	$[0, -1, 0, -63208, -6355088]$	\(y^2=x^3-x^2-63208x-6355088\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
22800.cz2	22800do1	22800.cz	22800do	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{22} \cdot 3^{2} \cdot 5^{3} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$5.068914929$	$1$		$3$	$23040$	$0.862501$	$-3491055413/175104$	$0.98978$	$3.50816$	$[0, 1, 0, -2528, -51852]$	\(y^2=x^3+x^2-2528x-51852\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(6202, 488448)]$
54150.y2	54150bi1	54150.y	54150bi	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$345600$	$1.641573$	$-3491055413/175104$	$0.98978$	$4.08748$	$[1, 0, 1, -57046, -5471512]$	\(y^2+xy+y=x^3-57046x-5471512\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
54150.bu2	54150cc1	54150.bu	54150cc	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{9} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$1728000$	$2.446293$	$-3491055413/175104$	$0.98978$	$4.97345$	$[1, 1, 1, -1426138, -683938969]$	\(y^2+xy+y=x^3+x^2-1426138x-683938969\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
68400.da2	68400gf1	68400.da	68400gf	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{22} \cdot 3^{8} \cdot 5^{9} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$2.253863788$	$1$		$5$	$921600$	$2.216526$	$-3491055413/175104$	$0.98978$	$4.62143$	$[0, 0, 0, -568875, 172156250]$	\(y^2=x^3-568875x+172156250\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(250, 6750)]$
68400.dd2	68400ge1	68400.dd	68400ge	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{22} \cdot 3^{8} \cdot 5^{3} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.362906679$	$1$		$7$	$184320$	$1.411806$	$-3491055413/175104$	$0.98978$	$3.75405$	$[0, 0, 0, -22755, 1377250]$	\(y^2=x^3-22755x+1377250\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(95, 270)]$
91200.cc2	91200gp1	91200.cc	91200gp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{2} \cdot 5^{3} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$3.957516263$	$1$		$5$	$184320$	$1.209074$	$-3491055413/175104$	$0.98978$	$3.44648$	$[0, -1, 0, -10113, -404703]$	\(y^2=x^3-x^2-10113x-404703\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(123, 444)]$
91200.cv2	91200bz1	91200.cv	91200bz	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{2} \cdot 5^{9} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$4.719250297$	$1$		$3$	$921600$	$2.013794$	$-3491055413/175104$	$0.98978$	$4.29201$	$[0, -1, 0, -252833, 51093537]$	\(y^2=x^3-x^2-252833x+51093537\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(143, 4224)]$
91200.gt2	91200io1	91200.gt	91200io	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{2} \cdot 5^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$9$	$3$	$1$	$921600$	$2.013794$	$-3491055413/175104$	$0.98978$	$4.29201$	$[0, 1, 0, -252833, -51093537]$	\(y^2=x^3+x^2-252833x-51093537\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
91200.hf2	91200em1	91200.hf	91200em	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{2} \cdot 5^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.209074$	$-3491055413/175104$	$0.98978$	$3.44648$	$[0, 1, 0, -10113, 404703]$	\(y^2=x^3+x^2-10113x+404703\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
139650.k2	139650hp1	139650.k	139650hp	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{9} \cdot 7^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$1843200$	$1.947027$	$-3491055413/175104$	$0.98978$	$4.07001$	$[1, 1, 0, -193575, -34252875]$	\(y^2+xy=x^3+x^2-193575x-34252875\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
139650.hh2	139650d1	139650.hh	139650d	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 7^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.142309$	$-3491055413/175104$	$0.98978$	$3.25489$	$[1, 0, 0, -7743, -274023]$	\(y^2+xy=x^3-7743x-274023\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
162450.bi2	162450cq1	162450.bi	162450cq	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{9} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$13824000$	$2.995598$	$-3491055413/175104$	$0.98978$	$5.06744$	$[1, -1, 0, -12835242, 18453516916]$	\(y^2+xy=x^3-x^2-12835242x+18453516916\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
162450.dy2	162450f1	162450.dy	162450f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{3} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$0.584715655$	$1$		$9$	$2764800$	$2.190880$	$-3491055413/175104$	$0.98978$	$4.26260$	$[1, -1, 1, -513410, 147730817]$	\(y^2+xy+y=x^3-x^2-513410x+147730817\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(-261, 16375)]$
273600.hg2	273600hg1	273600.hg	273600hg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{8} \cdot 5^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.758381$	$-3491055413/175104$	$0.98978$	$3.67055$	$[0, 0, 0, -91020, -11018000]$	\(y^2=x^3-91020x-11018000\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
273600.hi2	273600hi1	273600.hi	273600hi	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{8} \cdot 5^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$7372800$	$2.563099$	$-3491055413/175104$	$0.98978$	$4.44189$	$[0, 0, 0, -2275500, -1377250000]$	\(y^2=x^3-2275500x-1377250000\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
273600.je2	273600je1	273600.je	273600je	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{8} \cdot 5^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.758381$	$-3491055413/175104$	$0.98978$	$3.67055$	$[0, 0, 0, -91020, 11018000]$	\(y^2=x^3-91020x+11018000\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
273600.jf2	273600jf1	273600.jf	273600jf	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{8} \cdot 5^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$7372800$	$2.563099$	$-3491055413/175104$	$0.98978$	$4.44189$	$[0, 0, 0, -2275500, 1377250000]$	\(y^2=x^3-2275500x+1377250000\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
344850.z2	344850z1	344850.z	344850z	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 11^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$1228800$	$1.368301$	$-3491055413/175104$	$0.98978$	$3.23682$	$[1, 1, 0, -19120, -1068800]$	\(y^2+xy=x^3+x^2-19120x-1068800\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
344850.gx2	344850gx1	344850.gx	344850gx	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{9} \cdot 11^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$6144000$	$2.173019$	$-3491055413/175104$	$0.98978$	$3.99415$	$[1, 0, 0, -478013, -132643983]$	\(y^2+xy=x^3-478013x-132643983\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
418950.hr2	418950hr1	418950.hr	418950hr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{3} \cdot 7^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.468218700$	$1$		$7$	$2949120$	$1.691614$	$-3491055413/175104$	$0.98978$	$3.48785$	$[1, -1, 0, -69687, 7398621]$	\(y^2+xy=x^3-x^2-69687x+7398621\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(135, 594)]$
418950.qc2	418950qc1	418950.qc	418950qc	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{9} \cdot 7^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1$	$1$		$1$	$14745600$	$2.496334$	$-3491055413/175104$	$0.98978$	$4.23380$	$[1, -1, 1, -1742180, 923085447]$	\(y^2+xy+y=x^3-x^2-1742180x+923085447\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[ ]$
433200.dc2	433200dc1	433200.dc	433200dc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{22} \cdot 3^{2} \cdot 5^{3} \cdot 19^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$7.352235664$	$1$		$13$	$8294400$	$2.334721$	$-3491055413/175104$	$0.98978$	$4.07346$	$[0, -1, 0, -912728, 350176752]$	\(y^2=x^3-x^2-912728x+350176752\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(697, 7220), (172, 14080)]$
433200.iq2	433200iq1	433200.iq	433200iq	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{22} \cdot 3^{2} \cdot 5^{9} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$15.55177751$	$1$		$1$	$41472000$	$3.139439$	$-3491055413/175104$	$0.98978$	$4.81749$	$[0, 1, 0, -22818208, 43726457588]$	\(y^2=x^3+x^2-22818208x+43726457588\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(223202378/283, 958258289664/283)]$
481650.ba2	481650ba1	481650.ba	481650ba	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 13^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.141994506$	$1$		$7$	$2211840$	$1.451828$	$-3491055413/175104$	$0.98978$	$3.23077$	$[1, 1, 0, -26705, 1739925]$	\(y^2+xy=x^3+x^2-26705x+1739925\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(5, 1265)]$
481650.ic2	481650ic1	481650.ic	481650ic	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{9} \cdot 13^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2280$	$12$	$0$	$1.939387697$	$1$		$3$	$11059200$	$2.256546$	$-3491055413/175104$	$0.98978$	$3.96877$	$[1, 0, 0, -667638, 218825892]$	\(y^2+xy=x^3-667638x+218825892\)	2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.?	$[(456, 2814)]$

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