Elliptic curve search results

Results (12 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
10626.p5	10626r2	10626.p	10626r	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 11^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.96.0.37	2Cs	$184$	$192$	$1$	$1$	$1$		$6$	$204800$	$2.272449$	$8232463578739844255617/4687062591766850064$	$1.02439$	$5.44300$	$[1, 0, 0, -420664, 13323824]$	\(y^2+xy=x^3-420664x+13323824\)	2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.i.1.2, 92.48.0.?, 184.192.1.?	$[]$
31878.u5	31878v2	31878.u	31878v	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{14} \cdot 7^{8} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.97	2Cs	$552$	$192$	$1$	$1.285097351$	$1$		$10$	$1638400$	$2.821754$	$8232463578739844255617/4687062591766850064$	$1.02439$	$5.50201$	$[1, -1, 0, -3785976, -359743248]$	\(y^2+xy=x^3-x^2-3785976x-359743248\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 12.24.0-4.b.1.3, 24.96.0-8.i.1.3, $\ldots$	$[(3004, 122468)]$
74382.bg5	74382x2	74382.bg	74382x	$6$	$8$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{8} \cdot 7^{14} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.97	2Cs	$1288$	$192$	$1$	$16.53534850$	$1$		$2$	$9830400$	$3.245403$	$8232463578739844255617/4687062591766850064$	$1.02439$	$5.53963$	$[1, 1, 1, -20612537, -4590684169]$	\(y^2+xy+y=x^3+x^2-20612537x-4590684169\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 28.24.0-4.b.1.3, 56.96.0-8.i.1.3, $\ldots$	$[(277163657/41, 4606868693926/41)]$
85008.f5	85008bm2	85008.f	85008bm	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{16} \cdot 3^{8} \cdot 7^{8} \cdot 11^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.56	2Cs	$184$	$192$	$1$	$1$	$1$		$3$	$4915200$	$2.965595$	$8232463578739844255617/4687062591766850064$	$1.02439$	$5.17864$	$[0, -1, 0, -6730624, -852724736]$	\(y^2=x^3-x^2-6730624x-852724736\)	2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.i.1.4, 92.48.0.?, 184.192.1.?	$[]$
116886.m5	116886l2	116886.m	116886l	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 11^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.97	2Cs	$2024$	$192$	$1$	$4.862918449$	$1$		$4$	$24576000$	$3.471394$	$8232463578739844255617/4687062591766850064$	$1.02439$	$5.55746$	$[1, 0, 1, -50900347, -17784910090]$	\(y^2+xy+y=x^3-50900347x-17784910090\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 44.24.0-4.b.1.3, 88.96.0.?, $\ldots$	$[(-1145, 198044)]$
223146.o5	223146cq2	223146.o	223146cq	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{14} \cdot 7^{14} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.97	2Cs	$3864$	$192$	$1$	$7.381635204$	$1$		$4$	$78643200$	$3.794708$	$8232463578739844255617/4687062591766850064$	$1.02439$	$5.58070$	$[1, -1, 0, -185512833, 123762959725]$	\(y^2+xy=x^3-x^2-185512833x+123762959725\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 84.24.0.?, 92.24.0.?, $\ldots$	$[(87258, 25418291)]$
244398.bq5	244398bq2	244398.bq	244398bq	$6$	$8$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 11^{4} \cdot 23^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.20	2Cs	$184$	$192$	$1$	$6.736274876$	$1$		$2$	$108134400$	$3.840195$	$8232463578739844255617/4687062591766850064$	$1.02439$	$5.58377$	$[1, 0, 0, -222531267, -162556029135]$	\(y^2+xy=x^3-222531267x-162556029135\)	2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.i.1.5, 92.48.0.?, 184.192.1.?	$[(-23883/4, 26145981/4)]$
255024.ec5	255024ec2	255024.ec	255024ec	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{16} \cdot 3^{14} \cdot 7^{8} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.97	2Cs	$552$	$192$	$1$	$16.66488469$	$1$		$3$	$39321600$	$3.514900$	$8232463578739844255617/4687062591766850064$	$1.02439$	$5.25112$	$[0, 0, 0, -60575619, 23084143490]$	\(y^2=x^3-60575619x+23084143490\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 12.24.0-4.b.1.1, 24.96.0-8.i.1.1, $\ldots$	$[(-104027897/123, 629689219910/123)]$
265650.r5	265650r2	265650.r	265650r	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 7^{8} \cdot 11^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.97	2Cs	$920$	$192$	$1$	$1$	$1$		$2$	$26214400$	$3.077168$	$8232463578739844255617/4687062591766850064$	$1.02439$	$4.81340$	$[1, 1, 0, -10516600, 1665478000]$	\(y^2+xy=x^3+x^2-10516600x+1665478000\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 20.24.0-4.b.1.3, 40.96.0-8.i.1.2, $\ldots$	$[]$
340032.cv5	340032cv2	340032.cv	340032cv	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{22} \cdot 3^{8} \cdot 7^{8} \cdot 11^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.108	2Cs	$184$	$192$	$1$	$4.266462196$	$1$		$5$	$39321600$	$3.312168$	$8232463578739844255617/4687062591766850064$	$1.02439$	$4.94151$	$[0, -1, 0, -26922497, 6848720385]$	\(y^2=x^3-x^2-26922497x+6848720385\)	2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.i.1.3, 92.24.0.?, 184.192.1.?	$[(-2111, 232960)]$
340032.fu5	340032fu2	340032.fu	340032fu	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( 2^{22} \cdot 3^{8} \cdot 7^{8} \cdot 11^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.96.0.138	2Cs	$184$	$192$	$1$	$1$	$4$	$2$	$3$	$39321600$	$3.312168$	$8232463578739844255617/4687062591766850064$	$1.02439$	$4.94151$	$[0, 1, 0, -26922497, -6848720385]$	\(y^2=x^3+x^2-26922497x-6848720385\)	2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.i.1.1, 92.24.0.?, 184.192.1.?	$[]$
350658.dx5	350658dx2	350658.dx	350658dx	$6$	$8$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{14} \cdot 7^{8} \cdot 11^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.97	2Cs	$6072$	$192$	$1$	$28.75195602$	$1$		$2$	$196608000$	$4.020699$	$8232463578739844255617/4687062591766850064$	$1.02439$	$5.59554$	$[1, -1, 1, -458103119, 480192572423]$	\(y^2+xy+y=x^3-x^2-458103119x+480192572423\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 92.24.0.?, 132.24.0.?, $\ldots$	$[(810147073977663/106322, 21979471890780173280023/106322)]$