Elliptic curve search results

Results (15 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
6630.t4	6630s1	6630.t	6630s	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$1560$	$48$	$0$	$1$	$1$		$3$	$11520$	$0.879548$	$436192097814719/259683840000$	$0.96075$	$3.83086$	$[1, 1, 1, 1580, 4757]$	\(y^2+xy+y=x^3+x^2+1580x+4757\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 78.6.0.?, 156.24.0.?, $\ldots$	$[]$
19890.m4	19890l1	19890.m	19890l	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$92160$	$1.428854$	$436192097814719/259683840000$	$0.96075$	$4.07162$	$[1, -1, 0, 14220, -114224]$	\(y^2+xy=x^3-x^2+14220x-114224\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$	$[]$
33150.n4	33150q1	33150.n	33150q	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{10} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1560$	$48$	$0$	$1.214106045$	$1$		$7$	$276480$	$1.684267$	$436192097814719/259683840000$	$0.96075$	$4.16626$	$[1, 0, 1, 39499, 515648]$	\(y^2+xy+y=x^3+39499x+515648\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$	$[(51, 1606)]$
53040.cj4	53040cz1	53040.cj	53040cz	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{24} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1560$	$48$	$0$	$1.058593705$	$1$		$7$	$276480$	$1.572695$	$436192097814719/259683840000$	$0.96075$	$3.86319$	$[0, 1, 0, 25280, -253900]$	\(y^2=x^3+x^2+25280x-253900\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.10, 78.6.0.?, 156.24.0.?, $\ldots$	$[(20, 510)]$
86190.b4	86190c1	86190.b	86190c	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1.739196647$	$1$		$5$	$1935360$	$2.162022$	$436192097814719/259683840000$	$0.96075$	$4.32044$	$[1, 1, 0, 267017, 9116437]$	\(y^2+xy=x^3+x^2+267017x+9116437\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$	$[(291, 10417)]$
99450.ce4	99450co1	99450.ce	99450co	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{9} \cdot 5^{10} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1.354956415$	$1$		$7$	$2211840$	$2.233574$	$436192097814719/259683840000$	$0.96075$	$4.34132$	$[1, -1, 1, 355495, -13922503]$	\(y^2+xy+y=x^3-x^2+355495x-13922503\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$	$[(289, 10480)]$
112710.cl4	112710cv1	112710.cl	112710cv	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$3317760$	$2.296154$	$436192097814719/259683840000$	$0.96075$	$4.35917$	$[1, 0, 0, 456614, 20175716]$	\(y^2+xy=x^3+456614x+20175716\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 68.12.0-4.c.1.2, 78.6.0.?, $\ldots$	$[]$
159120.b4	159120bd1	159120.b	159120bd	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{24} \cdot 3^{9} \cdot 5^{4} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$2.268684483$	$1$		$5$	$2211840$	$2.122002$	$436192097814719/259683840000$	$0.96075$	$4.05919$	$[0, 0, 0, 227517, 7082818]$	\(y^2=x^3+227517x+7082818\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 52.12.0-4.c.1.1, $\ldots$	$[(194, 7650)]$
212160.b4	212160de1	212160.b	212160de	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{30} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$2211840$	$1.919270$	$436192097814719/259683840000$	$0.96075$	$3.76563$	$[0, -1, 0, 101119, -2132319]$	\(y^2=x^3-x^2+101119x-2132319\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 78.6.0.?, $\ldots$	$[]$
212160.ft4	212160gc1	212160.ft	212160gc	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{30} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$2211840$	$1.919270$	$436192097814719/259683840000$	$0.96075$	$3.76563$	$[0, 1, 0, 101119, 2132319]$	\(y^2=x^3+x^2+101119x+2132319\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 78.6.0.?, $\ldots$	$[]$
258570.eg4	258570eg1	258570.eg	258570eg	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \cdot 17^{2} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1560$	$48$	$0$	$0.951967958$	$1$		$17$	$15482880$	$2.711330$	$436192097814719/259683840000$	$0.96075$	$4.46849$	$[1, -1, 1, 2403148, -243740649]$	\(y^2+xy+y=x^3-x^2+2403148x-243740649\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.15, 78.6.0.?, 156.24.0.?, $\ldots$	$[(309, 22829)]$
265200.ds4	265200ds1	265200.ds	265200ds	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{24} \cdot 3^{3} \cdot 5^{10} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1560$	$48$	$0$	$7.990752265$	$1$		$1$	$6635520$	$2.377415$	$436192097814719/259683840000$	$0.96075$	$4.13857$	$[0, -1, 0, 631992, -33001488]$	\(y^2=x^3-x^2+631992x-33001488\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$	$[(278953/8, 149716875/8)]$
324870.fb4	324870fb1	324870.fb	324870fb	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$0.770953340$	$1$		$9$	$3317760$	$1.852503$	$436192097814719/259683840000$	$0.96075$	$3.57607$	$[1, 0, 0, 77419, -1399455]$	\(y^2+xy=x^3+77419x-1399455\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.bb.1, 78.6.0.?, $\ldots$	$[(214, 4891)]$
338130.bb4	338130bb1	338130.bb	338130bb	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$26542080$	$2.845463$	$436192097814719/259683840000$	$0.96075$	$4.50076$	$[1, -1, 0, 4109526, -544744332]$	\(y^2+xy=x^3-x^2+4109526x-544744332\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 78.6.0.?, 156.12.0.?, $\ldots$	$[]$
430950.ix4	430950ix1	430950.ix	430950ix	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{10} \cdot 13^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$46448640$	$2.966743$	$436192097814719/259683840000$	$0.96075$	$4.52879$	$[1, 0, 0, 6675412, 1126203792]$	\(y^2+xy=x^3+6675412x+1126203792\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$	$[]$