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.ba2	26520i2	26520.ba	26520i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.7	2Cs	$26520$	$192$	$3$	$0.690367843$	$1$		$13$	$98304$	$1.494284$	$13813960087661776/714574355625$	$0.99779$	$4.19312$	$[0, 1, 0, -31740, 2066400]$	\(y^2=x^3+x^2-31740x+2066400\)	2.6.0.a.1, 4.24.0-4.a.1.1, 52.48.0-52.b.1.1, 408.48.0.?, 520.96.0.?, $\ldots$	$[(135, 510)]$
53040.bk2	53040o2	53040.bk	53040o	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.7	2Cs	$26520$	$192$	$3$	$1$	$1$		$3$	$196608$	$1.494284$	$13813960087661776/714574355625$	$0.99779$	$3.92595$	$[0, -1, 0, -31740, -2066400]$	\(y^2=x^3-x^2-31740x-2066400\)	2.6.0.a.1, 4.24.0-4.a.1.1, 52.48.0-52.b.1.1, 408.48.0.?, 520.96.0.?, $\ldots$	$[]$
79560.b2	79560bm2	79560.b	79560bm	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.4	2Cs	$26520$	$192$	$3$	$1$	$1$		$3$	$786432$	$2.043591$	$13813960087661776/714574355625$	$0.99779$	$4.36903$	$[0, 0, 0, -285663, -56078462]$	\(y^2=x^3-285663x-56078462\)	2.6.0.a.1, 4.12.0.a.1, 12.24.0-4.a.1.1, 52.24.0.b.1, 136.24.0.?, $\ldots$	$[]$
132600.bb2	132600y2	132600.bb	132600y	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{10} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.4	2Cs	$26520$	$192$	$3$	$1$	$1$		$3$	$2359296$	$2.299004$	$13813960087661776/714574355625$	$0.99779$	$4.43967$	$[0, -1, 0, -793508, 259887012]$	\(y^2=x^3-x^2-793508x+259887012\)	2.6.0.a.1, 4.12.0.a.1, 20.24.0-4.a.1.1, 52.24.0.b.1, 104.48.0.?, $\ldots$	$[]$
159120.ce2	159120eg2	159120.ce	159120eg	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 13^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.4	2Cs	$26520$	$192$	$3$	$6.308601022$	$1$		$5$	$1572864$	$2.043591$	$13813960087661776/714574355625$	$0.99779$	$4.11619$	$[0, 0, 0, -285663, 56078462]$	\(y^2=x^3-285663x+56078462\)	2.6.0.a.1, 4.12.0.a.1, 12.24.0-4.a.1.1, 52.24.0.b.1, 136.24.0.?, $\ldots$	$[(1934, 82082)]$
212160.d2	212160hd2	212160.d	212160hd	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{4} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.29	2Cs	$26520$	$192$	$3$	$3.011056344$	$1$		$25$	$1572864$	$1.840857$	$13813960087661776/714574355625$	$0.99779$	$3.82129$	$[0, -1, 0, -126961, 16658161]$	\(y^2=x^3-x^2-126961x+16658161\)	2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.1, 52.24.0.b.1, 104.48.0.?, $\ldots$	$[(16, 3825), (313, 2736)]$
212160.fq2	212160bx2	212160.fq	212160bx	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.29	2Cs	$26520$	$192$	$3$	$1$	$1$		$3$	$1572864$	$1.840857$	$13813960087661776/714574355625$	$0.99779$	$3.82129$	$[0, 1, 0, -126961, -16658161]$	\(y^2=x^3+x^2-126961x-16658161\)	2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.1, 52.24.0.b.1, 104.48.0.?, $\ldots$	$[]$
265200.dy2	265200dy2	265200.dy	265200dy	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{10} \cdot 13^{2} \cdot 17^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.4	2Cs	$26520$	$192$	$3$	$1$	$1$		$3$	$4718592$	$2.299004$	$13813960087661776/714574355625$	$0.99779$	$4.19325$	$[0, 1, 0, -793508, -259887012]$	\(y^2=x^3+x^2-793508x-259887012\)	2.6.0.a.1, 4.12.0.a.1, 20.24.0-4.a.1.1, 52.24.0.b.1, 104.48.0.?, $\ldots$	$[]$
344760.cc2	344760cc2	344760.cc	344760cc	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{8} \cdot 17^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.4	2Cs	$26520$	$192$	$3$	$1$	$1$		$3$	$16515072$	$2.776760$	$13813960087661776/714574355625$	$0.99779$	$4.55659$	$[0, 1, 0, -5364116, 4561337184]$	\(y^2=x^3+x^2-5364116x+4561337184\)	2.6.0.a.1, 4.24.0-4.a.1.2, 52.48.0-52.b.1.2, 408.48.0.?, 520.96.0.?, $\ldots$	$[]$
397800.dx2	397800dx2	397800.dx	397800dx	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{10} \cdot 13^{2} \cdot 17^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.4	2Cs	$26520$	$192$	$3$	$7.505540669$	$1$		$3$	$18874368$	$2.848309$	$13813960087661776/714574355625$	$0.99779$	$4.57261$	$[0, 0, 0, -7141575, -7009807750]$	\(y^2=x^3-7141575x-7009807750\)	2.6.0.a.1, 4.12.0.a.1, 52.24.0.b.1, 60.24.0-4.a.1.1, 312.48.0.?, $\ldots$	$[(1365905/2, 1596310625/2)]$
450840.p2	450840p2	450840.p	450840p	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.4	2Cs	$26520$	$192$	$3$	$1$	$4$	$2$	$3$	$28311552$	$2.910889$	$13813960087661776/714574355625$	$0.99779$	$4.58634$	$[0, -1, 0, -9172956, 10207260756]$	\(y^2=x^3-x^2-9172956x+10207260756\)	2.6.0.a.1, 4.12.0.a.1, 24.24.0-4.a.1.3, 52.24.0.b.1, 68.24.0-4.a.1.1, $\ldots$	$[]$