Elliptic curve search results

Results (15 matches)

  Download displayed columns for results to

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
9768.q2	9768k2	9768.q	9768k	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{28} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$1118208$	$3.040318$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$7.10713$	$[0, 1, 0, -58989892, 174368087600]$	\(y^2=x^3+x^2-58989892x+174368087600\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[ ]$
19536.m2	19536c2	19536.m	19536c	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{28} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$9$	$3$	$1$	$2236416$	$3.040318$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.60852$	$[0, -1, 0, -58989892, -174368087600]$	\(y^2=x^3-x^2-58989892x-174368087600\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[ ]$
29304.h2	29304l2	29304.h	29304l	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{34} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$16$	$2$	$1$	$8945664$	$3.589622$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.98887$	$[0, 0, 0, -530909031, -4708469274230]$	\(y^2=x^3-530909031x-4708469274230\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[ ]$
58608.e2	58608r2	58608.e	58608r	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{34} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$17891328$	$3.589622$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.54762$	$[0, 0, 0, -530909031, 4708469274230]$	\(y^2=x^3-530909031x+4708469274230\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[ ]$
78144.o2	78144f2	78144.o	78144f	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{14} \cdot 3^{28} \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$20.98994341$	$1$		$1$	$17891328$	$3.386890$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.16450$	$[0, -1, 0, -235959569, 1395180660369]$	\(y^2=x^3-x^2-235959569x+1395180660369\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[(83931707211/3119, 1190585529335580/3119)]$
78144.bv2	78144da2	78144.bv	78144da	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{14} \cdot 3^{28} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$17891328$	$3.386890$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.16450$	$[0, 1, 0, -235959569, -1395180660369]$	\(y^2=x^3+x^2-235959569x-1395180660369\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[ ]$
107448.ba2	107448bb2	107448.ba	107448bb	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( - 2^{8} \cdot 3^{28} \cdot 11^{7} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$8.788963173$	$1$		$3$	$134184960$	$4.239265$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.87797$	$[0, 1, 0, -7137776972, -232112475703440]$	\(y^2=x^3+x^2-7137776972x-232112475703440\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[(446398, 292465470)]$
214896.bf2	214896cs2	214896.bf	214896cs	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( - 2^{8} \cdot 3^{28} \cdot 11^{7} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$23.23952058$	$1$		$1$	$268369920$	$4.239265$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.48967$	$[0, -1, 0, -7137776972, 232112475703440]$	\(y^2=x^3-x^2-7137776972x+232112475703440\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[(2528220975424/7309, 216080858807242660/7309)]$
234432.df2	234432df2	234432.df	234432df	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{14} \cdot 3^{34} \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$30.97818487$	$1$		$1$	$143130624$	$3.936195$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.14988$	$[0, 0, 0, -2123636124, 37667754193840]$	\(y^2=x^3-2123636124x+37667754193840\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[(-213196629121260/68573, 2058379945266431008760/68573)]$
234432.ee2	234432ee2	234432.ee	234432ee	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{14} \cdot 3^{34} \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$251.5475143$	$1$		$1$	$143130624$	$3.936195$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.14988$	$[0, 0, 0, -2123636124, -37667754193840]$	\(y^2=x^3-2123636124x-37667754193840\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[(200169635167574053985520259683331211291336666071352795843364794028323077220759570648172968077401552285082378640/22967398214801092666946038966984359950711412898100639, 2810081974561067415599024371380051633156841947506739865839873358313487839223985926841204681036095864302378295723866013714113716572286319550482114414299008387546864500/22967398214801092666946038966984359950711412898100639)]$
244200.d2	244200d2	244200.d	244200d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{28} \cdot 5^{6} \cdot 11 \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$3.946359911$	$1$		$3$	$143130624$	$3.845036$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.04147$	$[0, -1, 0, -1474747308, 21798960444612]$	\(y^2=x^3-x^2-1474747308x+21798960444612\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[(22442, 70300)]$
322344.e2	322344e2	322344.e	322344e	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{8} \cdot 3^{34} \cdot 11^{7} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$1073479680$	$4.788574$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.80192$	$[0, 0, 0, -64239992751, 6266972604000130]$	\(y^2=x^3-64239992751x+6266972604000130\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[ ]$
361416.bg2	361416bg2	361416.bg	361416bg	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \cdot 37^{2} \)	\( - 2^{8} \cdot 3^{28} \cdot 11 \cdot 37^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$6.209817920$	$1$		$7$	$1529708544$	$4.845779$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$6.79475$	$[0, 1, 0, -80757162604, 8833235827152176]$	\(y^2=x^3+x^2-80757162604x+8833235827152176\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[(163934, 196830), (168806, 3343098)]$
478632.j2	478632j2	478632.j	478632j	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{28} \cdot 7^{6} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$16$	$2$	$1$	$322043904$	$4.013275$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$5.88497$	$[0, -1, 0, -2890504724, -59814035056236]$	\(y^2=x^3-x^2-2890504724x-59814035056236\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[ ]$
488400.hk2	488400hk2	488400.hk	488400hk	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{28} \cdot 5^{6} \cdot 11 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$4$	$2$	$1$	$286261248$	$3.845036$	$-88678136326676754811067728/344501617579257699$	$1.03067$	$5.72177$	$[0, 1, 0, -1474747308, -21798960444612]$	\(y^2=x^3+x^2-1474747308x-21798960444612\)	2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.?	$[ ]$

  Download displayed columns for results to