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.o1	5610n4	5610.o	5610n	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{3} \cdot 3^{2} \cdot 5^{12} \cdot 11^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$4488$	$96$	$1$	$7.815521508$	$1$		$0$	$69120$	$1.897261$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.62106$	$[1, 0, 1, -220364, -39529438]$	\(y^2+xy+y=x^3-220364x-39529438\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 132.48.0.?, 136.6.0.?, $\ldots$	$[(9909/4, 482575/4)]$
16830.cu1	16830cp4	16830.cu	16830cp	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{3} \cdot 3^{8} \cdot 5^{12} \cdot 11^{2} \cdot 17^{3} \)	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$4488$	$96$	$1$	$1.501500208$	$1$		$12$	$552960$	$2.446568$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.66384$	$[1, -1, 1, -1983272, 1067294819]$	\(y^2+xy+y=x^3-x^2-1983272x+1067294819\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 132.48.0.?, 136.6.0.?, $\ldots$	$[(687, 5011)]$
28050.cf1	28050cj4	28050.cf	28050cj	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{3} \cdot 3^{2} \cdot 5^{18} \cdot 11^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$0$	$1658880$	$2.701981$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.68061$	$[1, 1, 1, -5509088, -4941179719]$	\(y^2+xy+y=x^3+x^2-5509088x-4941179719\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[]$
44880.e1	44880bc4	44880.e	44880bc	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{15} \cdot 3^{2} \cdot 5^{12} \cdot 11^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$1$	$1658880$	$2.590408$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.30637$	$[0, -1, 0, -3525816, 2529884016]$	\(y^2=x^3-x^2-3525816x+2529884016\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 132.48.0.?, $\ldots$	$[]$
61710.cj1	61710co4	61710.cj	61710co	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{3} \cdot 3^{2} \cdot 5^{12} \cdot 11^{8} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$2.349377355$	$1$		$2$	$8294400$	$3.096210$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.70344$	$[1, 0, 0, -26663986, 52587017660]$	\(y^2+xy=x^3-26663986x+52587017660\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 33.8.0-3.a.1.1, $\ldots$	$[(3266, 16880)]$
84150.s1	84150bf4	84150.s	84150bf	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{3} \cdot 3^{8} \cdot 5^{18} \cdot 11^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$0$	$13271040$	$3.251286$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.71155$	$[1, -1, 0, -49581792, 133362270616]$	\(y^2+xy=x^3-x^2-49581792x+133362270616\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[]$
95370.o1	95370p4	95370.o	95370p	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{3} \cdot 3^{2} \cdot 5^{12} \cdot 11^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$0$	$19906560$	$3.313869$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.71470$	$[1, 1, 0, -63685057, -194144442611]$	\(y^2+xy=x^3+x^2-63685057x-194144442611\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 51.8.0-3.a.1.1, $\ldots$	$[]$
134640.dq1	134640j4	134640.dq	134640j	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{15} \cdot 3^{8} \cdot 5^{12} \cdot 11^{2} \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$0.690412852$	$1$		$31$	$13271040$	$3.139713$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.37089$	$[0, 0, 0, -31732347, -68275136086]$	\(y^2=x^3-31732347x-68275136086\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 132.48.0.?, $\ldots$	$[(-3257, 22950), (8893, 594000)]$
179520.dv1	179520hj4	179520.dv	179520hj	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{21} \cdot 3^{2} \cdot 5^{12} \cdot 11^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$1$	$13271040$	$2.936981$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.04208$	$[0, -1, 0, -14103265, -20224968863]$	\(y^2=x^3-x^2-14103265x-20224968863\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 102.24.0.?, $\ldots$	$[]$
179520.gu1	179520h4	179520.gu	179520h	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{21} \cdot 3^{2} \cdot 5^{12} \cdot 11^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$3.139689391$	$1$		$5$	$13271040$	$2.936981$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.04208$	$[0, 1, 0, -14103265, 20224968863]$	\(y^2=x^3+x^2-14103265x+20224968863\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 132.24.0.?, $\ldots$	$[(1946, 12375)]$
185130.bu1	185130db4	185130.bu	185130db	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{3} \cdot 3^{8} \cdot 5^{12} \cdot 11^{8} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$0$	$66355200$	$3.645515$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.73030$	$[1, -1, 0, -239975874, -1419849476820]$	\(y^2+xy=x^3-x^2-239975874x-1419849476820\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 33.8.0-3.a.1.2, $\ldots$	$[]$
224400.hp1	224400cs4	224400.hp	224400cs	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{15} \cdot 3^{2} \cdot 5^{18} \cdot 11^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$39813120$	$3.395126$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.39697$	$[0, 1, 0, -88145408, 316059211188]$	\(y^2=x^3+x^2-88145408x+316059211188\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.2, 132.24.0.?, $\ldots$	$[]$
274890.bp1	274890bp4	274890.bp	274890bp	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{3} \cdot 3^{2} \cdot 5^{12} \cdot 7^{6} \cdot 11^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$31416$	$96$	$1$	$0.484011685$	$1$		$8$	$24883200$	$2.870216$	$1183430669265454849849/10449720703125000$	$0.98904$	$4.80658$	$[1, 1, 0, -10797812, 13547799336]$	\(y^2+xy=x^3+x^2-10797812x+13547799336\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[(1687, 10844)]$
286110.dy1	286110dy4	286110.dy	286110dy	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{3} \cdot 3^{8} \cdot 5^{12} \cdot 11^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$0$	$159252480$	$3.863174$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.73965$	$[1, -1, 1, -573165518, 5241326784981]$	\(y^2+xy+y=x^3-x^2-573165518x+5241326784981\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 51.8.0-3.a.1.2, $\ldots$	$[]$
308550.bz1	308550bz4	308550.bz	308550bz	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{3} \cdot 3^{2} \cdot 5^{18} \cdot 11^{8} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$0$	$199065600$	$3.900928$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.74120$	$[1, 1, 0, -666599650, 6573377207500]$	\(y^2+xy=x^3+x^2-666599650x+6573377207500\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.5, 132.24.0.?, $\ldots$	$[]$
476850.jr1	476850jr4	476850.jr	476850jr	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{3} \cdot 3^{2} \cdot 5^{18} \cdot 11^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$17.39334161$	$1$		$0$	$477757440$	$4.118584$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.74982$	$[1, 0, 0, -1592126438, -24264871073508]$	\(y^2+xy=x^3-1592126438x-24264871073508\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 120.24.0.?, 132.24.0.?, $\ldots$	$[(26881487599/322, 4347432556531357/322)]$
493680.br1	493680br4	493680.br	493680br	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{15} \cdot 3^{2} \cdot 5^{12} \cdot 11^{8} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$1$	$199065600$	$3.789356$	$1183430669265454849849/10449720703125000$	$0.98904$	$5.43324$	$[0, -1, 0, -426623776, -3365569130240]$	\(y^2=x^3-x^2-426623776x-3365569130240\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 132.48.0.?, $\ldots$	$[]$