Elliptic curve search results

Results (16 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
4389.d1	4389b1	4389.d	4389b	$1$	$1$	\( 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 3 \cdot 7 \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$8778$	$2$	$0$	$0.681512208$	$1$		$4$	$208$	$-0.592216$	$16777216/4389$	$0.83081$	$1.98352$	$[0, -1, 1, -5, 5]$	\(y^2+y=x^3-x^2-5x+5\)	8778.2.0.?	$[(1, 0)]$
13167.g1	13167n1	13167.g	13167n	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 3^{7} \cdot 7 \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$0.506897753$	$1$		$4$	$1664$	$-0.042910$	$16777216/4389$	$0.83081$	$2.44871$	$[0, 0, 1, -48, -95]$	\(y^2+y=x^3-48x-95\)	8778.2.0.?	$[(-5, 4)]$
30723.t1	30723w1	30723.t	30723w	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 3 \cdot 7^{7} \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1.037186678$	$1$		$2$	$9984$	$0.380739$	$16777216/4389$	$0.83081$	$2.73992$	$[0, 1, 1, -261, -1291]$	\(y^2+y=x^3+x^2-261x-1291\)	8778.2.0.?	$[(23, 73)]$
48279.k1	48279c1	48279.k	48279c	$1$	$1$	\( 3 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 3 \cdot 7 \cdot 11^{7} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1$	$1$		$0$	$24960$	$0.606732$	$16777216/4389$	$0.83081$	$2.87655$	$[0, -1, 1, -645, -4456]$	\(y^2+y=x^3-x^2-645x-4456\)	8778.2.0.?	$[]$
70224.co1	70224ci1	70224.co	70224ci	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1$	$1$		$0$	$14976$	$0.100932$	$16777216/4389$	$0.83081$	$2.23607$	$[0, 1, 0, -85, -253]$	\(y^2=x^3+x^2-85x-253\)	8778.2.0.?	$[]$
83391.m1	83391q1	83391.m	83391q	$1$	$1$	\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \)	\( 3 \cdot 7 \cdot 11 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1$	$1$		$0$	$74880$	$0.880004$	$16777216/4389$	$0.83081$	$3.02721$	$[0, 1, 1, -1925, -24712]$	\(y^2+y=x^3+x^2-1925x-24712\)	8778.2.0.?	$[]$
92169.w1	92169bb1	92169.w	92169bb	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 3^{7} \cdot 7^{7} \cdot 11 \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1.426049634$	$1$		$8$	$79872$	$0.930045$	$16777216/4389$	$0.83081$	$3.05323$	$[0, 0, 1, -2352, 32499]$	\(y^2+y=x^3-2352x+32499\)	8778.2.0.?	$[(-7, 220), (-21, 269)]$
109725.bf1	109725bn1	109725.bf	109725bn	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 3 \cdot 5^{6} \cdot 7 \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$3.659181460$	$1$		$0$	$29120$	$0.212503$	$16777216/4389$	$0.83081$	$2.26545$	$[0, 1, 1, -133, 394]$	\(y^2+y=x^3+x^2-133x+394\)	8778.2.0.?	$[(13/2, 17/2)]$
144837.s1	144837r1	144837.s	144837r	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 3^{7} \cdot 7 \cdot 11^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$0.284145231$	$1$		$6$	$199680$	$1.156038$	$16777216/4389$	$0.83081$	$3.16531$	$[0, 0, 1, -5808, 126112]$	\(y^2+y=x^3-5808x+126112\)	8778.2.0.?	$[(-44, 544)]$
210672.bq1	210672w1	210672.bq	210672w	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{7} \cdot 7 \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$2.731053228$	$1$		$2$	$119808$	$0.650238$	$16777216/4389$	$0.83081$	$2.57341$	$[0, 0, 0, -768, 6064]$	\(y^2=x^3-768x+6064\)	8778.2.0.?	$[(-31, 9)]$
250173.u1	250173u1	250173.u	250173u	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \)	\( 3^{7} \cdot 7 \cdot 11 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$2.500580830$	$1$		$0$	$599040$	$1.429310$	$16777216/4389$	$0.83081$	$3.28996$	$[0, 0, 1, -17328, 649890]$	\(y^2+y=x^3-17328x+649890\)	8778.2.0.?	$[(-247/2, 9743/2)]$
280896.be1	280896be1	280896.be	280896be	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1.411542185$	$1$		$2$	$29952$	$-0.245642$	$16777216/4389$	$0.83081$	$1.65749$	$[0, -1, 0, -21, -21]$	\(y^2=x^3-x^2-21x-21\)	8778.2.0.?	$[(-2, 3)]$
280896.fn1	280896fn1	280896.fn	280896fn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1$	$1$		$0$	$29952$	$-0.245642$	$16777216/4389$	$0.83081$	$1.65749$	$[0, 1, 0, -21, 21]$	\(y^2=x^3+x^2-21x+21\)	8778.2.0.?	$[]$
329175.bo1	329175bo1	329175.bo	329175bo	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 3^{7} \cdot 5^{6} \cdot 7 \cdot 11 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$1$	$1$		$0$	$232960$	$0.761809$	$16777216/4389$	$0.83081$	$2.58839$	$[0, 0, 1, -1200, -11844]$	\(y^2+y=x^3-1200x-11844\)	8778.2.0.?	$[]$
337953.bo1	337953bo1	337953.bo	337953bo	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 19 \)	\( 3 \cdot 7^{7} \cdot 11^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$3.216575184$	$1$		$2$	$1198080$	$1.579687$	$16777216/4389$	$0.83081$	$3.35398$	$[0, 1, 1, -31621, 1591552]$	\(y^2+y=x^3+x^2-31621x+1591552\)	8778.2.0.?	$[(-158, 1633)]$
491568.bs1	491568bs1	491568.bs	491568bs	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3 \cdot 7^{7} \cdot 11 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8778$	$2$	$0$	$4.657929323$	$1$		$2$	$718848$	$1.073887$	$16777216/4389$	$0.83081$	$2.79495$	$[0, -1, 0, -4181, 78429]$	\(y^2=x^3-x^2-4181x+78429\)	8778.2.0.?	$[(-68, 209)]$