Elliptic curve search results

Results (11 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
26520.ba4	26520i3	26520.ba	26520i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13^{4} \cdot 17^{2} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.11	2B	$53040$	$192$	$3$	$1.380735687$	$1$		$9$	$196608$	$1.840857$	$900753985478876/29018422265625$	$0.96681$	$4.45401$	$[0, 1, 0, 20280, 8225568]$	\(y^2=x^3+x^2+20280x+8225568\)	2.3.0.a.1, 4.24.0-4.d.1.1, 104.48.0.?, 204.48.0.?, 1040.96.0.?, $\ldots$	$[(-69, 2550)]$
53040.bk4	53040o3	53040.bk	53040o	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13^{4} \cdot 17^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.11	2B	$53040$	$192$	$3$	$1$	$1$		$3$	$393216$	$1.840857$	$900753985478876/29018422265625$	$0.96681$	$4.17022$	$[0, -1, 0, 20280, -8225568]$	\(y^2=x^3-x^2+20280x-8225568\)	2.3.0.a.1, 4.24.0-4.d.1.1, 104.48.0.?, 204.48.0.?, 1040.96.0.?, $\ldots$	$[]$
79560.b4	79560bm3	79560.b	79560bm	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13^{4} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.9	2B	$53040$	$192$	$3$	$1$	$1$		$1$	$1572864$	$2.390163$	$900753985478876/29018422265625$	$0.96681$	$4.60453$	$[0, 0, 0, 182517, -221907818]$	\(y^2=x^3+182517x-221907818\)	2.3.0.a.1, 4.12.0.d.1, 12.24.0-4.d.1.1, 68.24.0-4.d.1.2, 104.24.0.?, $\ldots$	$[]$
132600.bb4	132600y3	132600.bb	132600y	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{14} \cdot 13^{4} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.9	2B	$53040$	$192$	$3$	$1$	$1$		$1$	$4718592$	$2.645576$	$900753985478876/29018422265625$	$0.96681$	$4.66496$	$[0, -1, 0, 506992, 1027182012]$	\(y^2=x^3-x^2+506992x+1027182012\)	2.3.0.a.1, 4.12.0.d.1, 20.24.0-4.d.1.1, 104.24.0.?, 204.24.0.?, $\ldots$	$[]$
159120.ce4	159120eg3	159120.ce	159120eg	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13^{4} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.9	2B	$53040$	$192$	$3$	$3.154300511$	$1$		$5$	$3145728$	$2.390163$	$900753985478876/29018422265625$	$0.96681$	$4.33806$	$[0, 0, 0, 182517, 221907818]$	\(y^2=x^3+182517x+221907818\)	2.3.0.a.1, 4.12.0.d.1, 12.24.0-4.d.1.1, 68.24.0-4.d.1.2, 104.24.0.?, $\ldots$	$[(-389, 9594)]$
212160.d4	212160hd3	212160.d	212160hd	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{8} \cdot 13^{4} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.69	2B	$53040$	$192$	$3$	$3.011056344$	$1$		$15$	$3145728$	$2.187431$	$900753985478876/29018422265625$	$0.96681$	$4.03795$	$[0, -1, 0, 81119, 65723425]$	\(y^2=x^3-x^2+81119x+65723425\)	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.1, 104.48.0.?, 204.24.0.?, $\ldots$	$[(1, 8112), (288, 10625)]$
212160.fq4	212160bx4	212160.fq	212160bx	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{8} \cdot 13^{4} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.69	2B	$53040$	$192$	$3$	$1$	$4$	$2$	$1$	$3145728$	$2.187431$	$900753985478876/29018422265625$	$0.96681$	$4.03795$	$[0, 1, 0, 81119, -65723425]$	\(y^2=x^3+x^2+81119x-65723425\)	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.1, 104.48.0.?, 204.24.0.?, $\ldots$	$[]$
265200.dy4	265200dy4	265200.dy	265200dy	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{14} \cdot 13^{4} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.9	2B	$53040$	$192$	$3$	$1$	$1$		$1$	$9437184$	$2.645576$	$900753985478876/29018422265625$	$0.96681$	$4.40604$	$[0, 1, 0, 506992, -1027182012]$	\(y^2=x^3+x^2+506992x-1027182012\)	2.3.0.a.1, 4.12.0.d.1, 20.24.0-4.d.1.1, 104.24.0.?, 204.24.0.?, $\ldots$	$[]$
344760.cc4	344760cc3	344760.cc	344760cc	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.68	2B	$53040$	$192$	$3$	$1$	$4$	$2$	$1$	$33030144$	$3.123333$	$900753985478876/29018422265625$	$0.96681$	$4.76501$	$[0, 1, 0, 3427264, 18057863760]$	\(y^2=x^3+x^2+3427264x+18057863760\)	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.3, 52.24.0-4.d.1.1, 104.48.0.?, $\ldots$	$[]$
397800.dx4	397800dx4	397800.dx	397800dx	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{14} \cdot 13^{4} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.9	2B	$53040$	$192$	$3$	$15.01108133$	$1$		$1$	$37748736$	$3.194881$	$900753985478876/29018422265625$	$0.96681$	$4.77871$	$[0, 0, 0, 4562925, -27738477250]$	\(y^2=x^3+4562925x-27738477250\)	2.3.0.a.1, 4.12.0.d.1, 60.24.0-4.d.1.1, 104.24.0.?, 204.24.0.?, $\ldots$	$[(21531574/91, 31107515382/91)]$
450840.p4	450840p3	450840.p	450840p	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13^{4} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.9	2B	$53040$	$192$	$3$	$1$	$1$		$1$	$56623104$	$3.257465$	$900753985478876/29018422265625$	$0.96681$	$4.79045$	$[0, -1, 0, 5860824, 40377050460]$	\(y^2=x^3-x^2+5860824x+40377050460\)	2.3.0.a.1, 4.12.0.d.1, 12.24.0-4.d.1.2, 68.24.0-4.d.1.1, 104.24.0.?, $\ldots$	$[]$