Elliptic curve search results

Results (14 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
19110.bo1	19110bm2	19110.bo	19110bm	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{7} \cdot 5^{7} \cdot 7^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.4	7B.1.6	$10920$	$96$	$2$	$5.538008019$	$1$		$2$	$1382976$	$2.983978$	$-131425499875625809/4658135040000000$	$1.08246$	$5.99673$	$[1, 1, 1, -1899241, -7949072041]$	\(y^2+xy+y=x^3+x^2-1899241x-7949072041\)	7.48.0-7.a.1.1, 1560.2.0.?, 10920.96.2.?	$[(5071, 333400)]$
19110.cz1	19110db2	19110.cz	19110db	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{7} \cdot 5^{7} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.1	7B.1.1	$10920$	$96$	$2$	$1.756687476$	$1$		$20$	$197568$	$2.011024$	$-131425499875625809/4658135040000000$	$1.08246$	$4.81236$	$[1, 0, 0, -38760, 23169600]$	\(y^2+xy=x^3-38760x+23169600\)	7.48.0-7.a.1.2, 1560.2.0.?, 10920.96.2.?	$[(-330, 390)]$
57330.bd1	57330x2	57330.bd	57330x	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{13} \cdot 5^{7} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$10920$	$96$	$2$	$27.63512469$	$1$		$0$	$1580544$	$2.560329$	$-131425499875625809/4658135040000000$	$1.08246$	$4.93145$	$[1, -1, 0, -348840, -625579200]$	\(y^2+xy=x^3-x^2-348840x-625579200\)	7.24.0.a.1, 21.48.0-7.a.1.2, 1560.2.0.?, 3640.48.0.?, 10920.96.2.?	$[(2932981747527/11887, 5003277406219847802/11887)]$
57330.cl1	57330ca2	57330.cl	57330ca	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{13} \cdot 5^{7} \cdot 7^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$10920$	$96$	$2$	$1$	$1$		$0$	$11063808$	$3.533283$	$-131425499875625809/4658135040000000$	$1.08246$	$5.99706$	$[1, -1, 0, -17093169, 214607851933]$	\(y^2+xy=x^3-x^2-17093169x+214607851933\)	7.24.0.a.1, 21.48.0-7.a.1.1, 1560.2.0.?, 3640.48.0.?, 10920.96.2.?	$[]$
95550.bf1	95550bi2	95550.bf	95550bi	$2$	$7$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{7} \cdot 5^{13} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$10920$	$96$	$2$	$17.22430606$	$1$		$0$	$4741632$	$2.815742$	$-131425499875625809/4658135040000000$	$1.08246$	$4.97905$	$[1, 1, 0, -969000, 2896200000]$	\(y^2+xy=x^3+x^2-969000x+2896200000\)	7.24.0.a.1, 35.48.0-7.a.1.1, 1560.2.0.?, 2184.48.0.?, 10920.96.2.?	$[(126333095/167, 1398155541455/167)]$
95550.dw1	95550da2	95550.dw	95550da	$2$	$7$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{7} \cdot 5^{13} \cdot 7^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$10920$	$96$	$2$	$1$	$1$		$0$	$33191424$	$3.788696$	$-131425499875625809/4658135040000000$	$1.08246$	$5.99719$	$[1, 0, 1, -47481026, -993539043052]$	\(y^2+xy+y=x^3-47481026x-993539043052\)	7.24.0.a.1, 35.48.0-7.a.1.2, 1560.2.0.?, 2184.48.0.?, 10920.96.2.?	$[]$
152880.dz1	152880dn2	152880.dz	152880dn	$2$	$7$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{33} \cdot 3^{7} \cdot 5^{7} \cdot 7^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$10920$	$96$	$2$	$1$	$1$		$0$	$4741632$	$2.704170$	$-131425499875625809/4658135040000000$	$1.08246$	$4.67085$	$[0, -1, 0, -620160, -1482854400]$	\(y^2=x^3-x^2-620160x-1482854400\)	7.24.0.a.1, 28.48.0-7.a.1.1, 1560.2.0.?, 10920.96.2.?	$[]$
152880.fs1	152880cr2	152880.fs	152880cr	$2$	$7$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{33} \cdot 3^{7} \cdot 5^{7} \cdot 7^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$10920$	$96$	$2$	$1$	$1$		$0$	$33191424$	$3.677128$	$-131425499875625809/4658135040000000$	$1.08246$	$5.64891$	$[0, 1, 0, -30387856, 508679834900]$	\(y^2=x^3+x^2-30387856x+508679834900\)	7.24.0.a.1, 28.48.0-7.a.1.2, 1560.2.0.?, 10920.96.2.?	$[]$
248430.ci1	248430ci2	248430.ci	248430ci	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{21} \cdot 3^{7} \cdot 5^{7} \cdot 7^{8} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$10920$	$96$	$2$	$1$	$1$		$0$	$232339968$	$4.266457$	$-131425499875625809/4658135040000000$	$1.08246$	$5.99741$	$[1, 1, 0, -320971732, -17462506415024]$	\(y^2+xy=x^3+x^2-320971732x-17462506415024\)	7.24.0.a.1, 91.48.0.?, 840.48.0.?, 1560.2.0.?, 10920.96.2.?	$[]$
248430.dm1	248430dm2	248430.dm	248430dm	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{21} \cdot 3^{7} \cdot 5^{7} \cdot 7^{2} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$10920$	$96$	$2$	$6.121553127$	$1$		$2$	$33191424$	$3.293499$	$-131425499875625809/4658135040000000$	$1.08246$	$5.05757$	$[1, 0, 1, -6550444, 50910161642]$	\(y^2+xy+y=x^3-6550444x+50910161642\)	7.24.0.a.1, 91.48.0.?, 840.48.0.?, 1560.2.0.?, 10920.96.2.?	$[(26248, 4225142)]$
286650.om1	286650om2	286650.om	286650om	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{13} \cdot 5^{13} \cdot 7^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$10920$	$96$	$2$	$2.057125036$	$1$		$4$	$265531392$	$4.338005$	$-131425499875625809/4658135040000000$	$1.08246$	$5.99744$	$[1, -1, 1, -427329230, 26825554162397]$	\(y^2+xy+y=x^3-x^2-427329230x+26825554162397\)	7.24.0.a.1, 105.48.0.?, 728.48.0.?, 1560.2.0.?, 10920.96.2.?	$[(-31911, 2838355)]$
286650.ou1	286650ou2	286650.ou	286650ou	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{13} \cdot 5^{13} \cdot 7^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$10920$	$96$	$2$	$1.138607615$	$1$		$4$	$37933056$	$3.365047$	$-131425499875625809/4658135040000000$	$1.08246$	$5.06831$	$[1, -1, 1, -8721005, -78206121003]$	\(y^2+xy+y=x^3-x^2-8721005x-78206121003\)	7.24.0.a.1, 105.48.0.?, 728.48.0.?, 1560.2.0.?, 10920.96.2.?	$[(133199, 48533400)]$
458640.by1	458640by2	458640.by	458640by	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{33} \cdot 3^{13} \cdot 5^{7} \cdot 7^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$10920$	$96$	$2$	$1$	$1$		$0$	$37933056$	$3.253475$	$-131425499875625809/4658135040000000$	$1.08246$	$4.78287$	$[0, 0, 0, -5581443, 40042650242]$	\(y^2=x^3-5581443x+40042650242\)	7.24.0.a.1, 84.48.0.?, 1560.2.0.?, 3640.48.0.?, 10920.96.2.?	$[]$
458640.jr1	458640jr2	458640.jr	458640jr	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{33} \cdot 3^{13} \cdot 5^{7} \cdot 7^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$10920$	$96$	$2$	$6.339572865$	$1$		$2$	$265531392$	$4.226433$	$-131425499875625809/4658135040000000$	$1.08246$	$5.67850$	$[0, 0, 0, -273490707, -13734629033006]$	\(y^2=x^3-273490707x-13734629033006\)	7.24.0.a.1, 84.48.0.?, 1560.2.0.?, 3640.48.0.?, 10920.96.2.?	$[(28175, 962262)]$