Elliptic curve search results

Results (18 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
6762.bb1	6762x1	6762.bb	6762x	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{13} \cdot 3^{3} \cdot 7^{8} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.164298635$	$1$		$8$	$26208$	$1.525490$	$-2689684081/117006336$	$0.98341$	$4.71852$	$[1, 1, 1, -5195, 1255673]$	\(y^2+xy+y=x^3+x^2-5195x+1255673\)	24.2.0.b.1	$[(167, 2170)]$
6762.bh1	6762bm1	6762.bh	6762bm	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{13} \cdot 3^{3} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.143562420$	$1$		$10$	$3744$	$0.552535$	$-2689684081/117006336$	$0.98341$	$3.39463$	$[1, 0, 0, -106, -3676]$	\(y^2+xy=x^3-106x-3676\)	24.2.0.b.1	$[(68, 518)]$
20286.o1	20286o1	20286.o	20286o	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{13} \cdot 3^{9} \cdot 7^{8} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$209664$	$2.074795$	$-2689684081/117006336$	$0.98341$	$4.86047$	$[1, -1, 0, -46755, -33949931]$	\(y^2+xy=x^3-x^2-46755x-33949931\)	24.2.0.b.1	$[]$
20286.x1	20286v1	20286.x	20286v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{13} \cdot 3^{9} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.800708891$	$1$		$4$	$29952$	$1.101841$	$-2689684081/117006336$	$0.98341$	$3.68323$	$[1, -1, 0, -954, 99252]$	\(y^2+xy=x^3-x^2-954x+99252\)	24.2.0.b.1	$[(3, 309)]$
54096.r1	54096bk1	54096.r	54096bk	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{25} \cdot 3^{3} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1.013713854$	$1$		$4$	$89856$	$1.245682$	$-2689684081/117006336$	$0.98341$	$3.51013$	$[0, -1, 0, -1696, 235264]$	\(y^2=x^3-x^2-1696x+235264\)	24.2.0.b.1	$[(48, 512)]$
54096.cy1	54096ce1	54096.cy	54096ce	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{25} \cdot 3^{3} \cdot 7^{8} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$3.265564075$	$1$		$2$	$628992$	$2.218636$	$-2689684081/117006336$	$0.98341$	$4.58142$	$[0, 1, 0, -83120, -80529324]$	\(y^2=x^3+x^2-83120x-80529324\)	24.2.0.b.1	$[(690, 13824)]$
155526.by1	155526bj1	155526.by	155526bj	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23^{2} \)	\( - 2^{13} \cdot 3^{3} \cdot 7^{8} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$8.344892508$	$1$		$0$	$13837824$	$3.093239$	$-2689684081/117006336$	$0.98341$	$5.05463$	$[1, 1, 1, -2748166, -15305257213]$	\(y^2+xy+y=x^3+x^2-2748166x-15305257213\)	24.2.0.b.1	$[(68725/4, 14479317/4)]$
155526.db1	155526t1	155526.db	155526t	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23^{2} \)	\( - 2^{13} \cdot 3^{3} \cdot 7^{2} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.855297656$	$1$		$4$	$1976832$	$2.120281$	$-2689684081/117006336$	$0.98341$	$4.07798$	$[1, 0, 0, -56085, 44613729]$	\(y^2+xy=x^3-56085x+44613729\)	24.2.0.b.1	$[(90, 6303)]$
162288.ci1	162288ba1	162288.ci	162288ba	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{25} \cdot 3^{9} \cdot 7^{8} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$5031936$	$2.767944$	$-2689684081/117006336$	$0.98341$	$4.71133$	$[0, 0, 0, -748083, 2173543666]$	\(y^2=x^3-748083x+2173543666\)	24.2.0.b.1	$[]$
162288.ed1	162288bz1	162288.ed	162288bz	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{25} \cdot 3^{9} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$5.028104194$	$1$		$0$	$718848$	$1.794989$	$-2689684081/117006336$	$0.98341$	$3.73814$	$[0, 0, 0, -15267, -6336862]$	\(y^2=x^3-15267x-6336862\)	24.2.0.b.1	$[(1681/2, 62721/2)]$
169050.n1	169050ie1	169050.n	169050ie	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{13} \cdot 3^{3} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$524160$	$1.357254$	$-2689684081/117006336$	$0.98341$	$3.28911$	$[1, 1, 0, -2650, -459500]$	\(y^2+xy=x^3+x^2-2650x-459500\)	24.2.0.b.1	$[]$
169050.cp1	169050gz1	169050.cp	169050gz	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{13} \cdot 3^{3} \cdot 5^{6} \cdot 7^{8} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$3669120$	$2.330208$	$-2689684081/117006336$	$0.98341$	$4.25900$	$[1, 0, 1, -129876, 157218898]$	\(y^2+xy+y=x^3-129876x+157218898\)	24.2.0.b.1	$[]$
216384.bi1	216384db1	216384.bi	216384db	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{31} \cdot 3^{3} \cdot 7^{8} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$5031936$	$2.565212$	$-2689684081/117006336$	$0.98341$	$4.40297$	$[0, -1, 0, -332481, -643902111]$	\(y^2=x^3-x^2-332481x-643902111\)	24.2.0.b.1	$[]$
216384.de1	216384ii1	216384.de	216384ii	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{31} \cdot 3^{3} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$9.358209157$	$1$		$0$	$718848$	$1.592257$	$-2689684081/117006336$	$0.98341$	$3.45257$	$[0, -1, 0, -6785, -1875327]$	\(y^2=x^3-x^2-6785x-1875327\)	24.2.0.b.1	$[(107251/7, 35087788/7)]$
216384.gd1	216384fl1	216384.gd	216384fl	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{31} \cdot 3^{3} \cdot 7^{8} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1.786080033$	$1$		$2$	$5031936$	$2.565212$	$-2689684081/117006336$	$0.98341$	$4.40297$	$[0, 1, 0, -332481, 643902111]$	\(y^2=x^3+x^2-332481x+643902111\)	24.2.0.b.1	$[(-915, 13524)]$
216384.hk1	216384bk1	216384.hk	216384bk	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{31} \cdot 3^{3} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$718848$	$1.592257$	$-2689684081/117006336$	$0.98341$	$3.45257$	$[0, 1, 0, -6785, 1875327]$	\(y^2=x^3+x^2-6785x+1875327\)	24.2.0.b.1	$[]$
466578.ba1	466578ba1	466578.ba	466578ba	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( - 2^{13} \cdot 3^{9} \cdot 7^{2} \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$15814656$	$2.669590$	$-2689684081/117006336$	$0.98341$	$4.23974$	$[1, -1, 0, -504765, -1204570683]$	\(y^2+xy=x^3-x^2-504765x-1204570683\)	24.2.0.b.1	$[]$
466578.bs1	466578bs1	466578.bs	466578bs	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( - 2^{13} \cdot 3^{9} \cdot 7^{8} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$32.14588119$	$1$		$0$	$110702592$	$3.642544$	$-2689684081/117006336$	$0.98341$	$5.13420$	$[1, -1, 0, -24733494, 413217211252]$	\(y^2+xy=x^3-x^2-24733494x+413217211252\)	24.2.0.b.1	$[(-1960694478978163/706748, 237452735460185219085511/706748)]$