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.ba3	26520i1	26520.ba	26520i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.47	2B	$53040$	$192$	$3$	$1.380735687$	$1$		$9$	$49152$	$1.147711$	$212670222886967296/616241925$	$0.95491$	$4.18933$	$[0, 1, 0, -31335, 2124558]$	\(y^2=x^3+x^2-31335x+2124558\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 26.6.0.b.1, 52.24.0-52.g.1.2, $\ldots$	$[(101, 15)]$
53040.bk3	53040o1	53040.bk	53040o	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.57	2B	$53040$	$192$	$3$	$1$	$4$	$2$	$1$	$98304$	$1.147711$	$212670222886967296/616241925$	$0.95491$	$3.92241$	$[0, -1, 0, -31335, -2124558]$	\(y^2=x^3-x^2-31335x-2124558\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$	$[]$
79560.b3	79560bm1	79560.b	79560bm	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.10	2B	$53040$	$192$	$3$	$1$	$1$		$1$	$393216$	$1.697016$	$212670222886967296/616241925$	$0.95491$	$4.36562$	$[0, 0, 0, -282018, -57645083]$	\(y^2=x^3-282018x-57645083\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 24.24.0-8.o.1.8, $\ldots$	$[]$
132600.bb3	132600y1	132600.bb	132600y	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.10	2B	$53040$	$192$	$3$	$1$	$1$		$1$	$1179648$	$1.952429$	$212670222886967296/616241925$	$0.95491$	$4.43640$	$[0, -1, 0, -783383, 267136512]$	\(y^2=x^3-x^2-783383x+267136512\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.2, 26.6.0.b.1, $\ldots$	$[]$
159120.ce3	159120eg1	159120.ce	159120eg	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.10	2B	$53040$	$192$	$3$	$3.154300511$	$1$		$3$	$786432$	$1.697016$	$212670222886967296/616241925$	$0.95491$	$4.11297$	$[0, 0, 0, -282018, 57645083]$	\(y^2=x^3-282018x+57645083\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 24.24.0-8.o.1.6, $\ldots$	$[(-281, 10710)]$
212160.d3	212160hd1	212160.d	212160hd	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.112	2B	$53040$	$192$	$3$	$3.011056344$	$1$		$15$	$786432$	$1.494284$	$212670222886967296/616241925$	$0.95491$	$3.81815$	$[0, -1, 0, -125341, 17121805]$	\(y^2=x^3-x^2-125341x+17121805\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 26.6.0.b.1, 52.12.0.g.1, $\ldots$	$[(204, 17), (221, 408)]$
212160.fq3	212160bx1	212160.fq	212160bx	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.108	2B	$53040$	$192$	$3$	$1$	$1$		$1$	$786432$	$1.494284$	$212670222886967296/616241925$	$0.95491$	$3.81815$	$[0, 1, 0, -125341, -17121805]$	\(y^2=x^3+x^2-125341x-17121805\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 26.6.0.b.1, 52.12.0.g.1, $\ldots$	$[]$
265200.dy3	265200dy1	265200.dy	265200dy	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.10	2B	$53040$	$192$	$3$	$1$	$1$		$1$	$2359296$	$1.952429$	$212670222886967296/616241925$	$0.95491$	$4.19016$	$[0, 1, 0, -783383, -267136512]$	\(y^2=x^3+x^2-783383x-267136512\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.1, 26.6.0.b.1, $\ldots$	$[]$
344760.cc3	344760cc1	344760.cc	344760cc	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13^{7} \cdot 17^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.52	2B	$53040$	$192$	$3$	$1$	$1$		$3$	$8257536$	$2.430183$	$212670222886967296/616241925$	$0.95491$	$4.55357$	$[0, 1, 0, -5295671, 4688836530]$	\(y^2=x^3+x^2-5295671x+4688836530\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.8, 26.6.0.b.1, 52.24.0-52.g.1.2, $\ldots$	$[]$
397800.dx3	397800dx1	397800.dx	397800dx	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{14} \cdot 5^{8} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.10	2B	$53040$	$192$	$3$	$15.01108133$	$1$		$1$	$9437184$	$2.501736$	$212670222886967296/616241925$	$0.95491$	$4.56963$	$[0, 0, 0, -7050450, -7205635375]$	\(y^2=x^3-7050450x-7205635375\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$	$[(66941585/28, 547433503175/28)]$
450840.p3	450840p1	450840.p	450840p	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.10	2B	$53040$	$192$	$3$	$1$	$1$		$1$	$14155776$	$2.564316$	$212670222886967296/616241925$	$0.95491$	$4.58338$	$[0, -1, 0, -9055911, 10492288740]$	\(y^2=x^3-x^2-9055911x+10492288740\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0-8.o.1.2, $\ldots$	$[]$