Elliptic curve search results

Results (16 matches)

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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
124800.o1	124800v1	124800.o	124800v	$1$	$1$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{7} \cdot 5^{10} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$9$	$3$	$0$	$3830400$	$2.541100$	$-21459903980300000/812017791$	$1.07582$	$4.98970$	$[0, -1, 0, -6236458, -5992647338]$	\(y^2=x^3-x^2-6236458x-5992647338\)	312.2.0.?	$[ ]$
124800.x1	124800eb1	124800.x	124800eb	$1$	$1$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{7} \cdot 5^{4} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$9.099163932$	$1$		$0$	$766080$	$1.736380$	$-21459903980300000/812017791$	$1.07582$	$4.16677$	$[0, -1, 0, -249458, 48040962]$	\(y^2=x^3-x^2-249458x+48040962\)	312.2.0.?	$[(25681/9, 618508/9)]$
124800.by1	124800dh1	124800.by	124800dh	$1$	$1$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{10} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$7660800$	$2.887672$	$-21459903980300000/812017791$	$1.07582$	$5.34411$	$[0, -1, 0, -24945833, 47966124537]$	\(y^2=x^3-x^2-24945833x+47966124537\)	312.2.0.?	$[ ]$
124800.cj1	124800el1	124800.cj	124800el	$1$	$1$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{4} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$1532160$	$2.082954$	$-21459903980300000/812017791$	$1.07582$	$4.52118$	$[0, -1, 0, -997833, -383329863]$	\(y^2=x^3-x^2-997833x-383329863\)	312.2.0.?	$[ ]$
124800.dj1	124800db1	124800.dj	124800db	$1$	$1$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{4} \cdot 13^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.077358992$	$1$		$38$	$1532160$	$2.082954$	$-21459903980300000/812017791$	$1.07582$	$4.52118$	$[0, 1, 0, -997833, 383329863]$	\(y^2=x^3+x^2-997833x+383329863\)	312.2.0.?	$[(1203, 30420), (527, 2028)]$
124800.dt1	124800bu1	124800.dt	124800bu	$1$	$1$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{10} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$9$	$3$	$0$	$7660800$	$2.887672$	$-21459903980300000/812017791$	$1.07582$	$5.34411$	$[0, 1, 0, -24945833, -47966124537]$	\(y^2=x^3+x^2-24945833x-47966124537\)	312.2.0.?	$[ ]$
124800.et1	124800fi1	124800.et	124800fi	$1$	$1$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{7} \cdot 5^{4} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$766080$	$1.736380$	$-21459903980300000/812017791$	$1.07582$	$4.16677$	$[0, 1, 0, -249458, -48040962]$	\(y^2=x^3+x^2-249458x-48040962\)	312.2.0.?	$[ ]$
124800.ff1	124800cl1	124800.ff	124800cl	$1$	$1$	\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{7} \cdot 5^{10} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1.240893689$	$1$		$2$	$3830400$	$2.541100$	$-21459903980300000/812017791$	$1.07582$	$4.98970$	$[0, 1, 0, -6236458, 5992647338]$	\(y^2=x^3+x^2-6236458x+5992647338\)	312.2.0.?	$[(1487, 3042)]$
374400.cn1	374400cn1	374400.cn	374400cn	$1$	$1$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{13} \cdot 5^{10} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$5.815536477$	$1$		$2$	$61286400$	$3.436977$	$-21459903980300000/812017791$	$1.07582$	$5.40026$	$[0, 0, 0, -224512500, 1294860850000]$	\(y^2=x^3-224512500x+1294860850000\)	312.2.0.?	$[(12029, 578583)]$
374400.cq1	374400cq1	374400.cq	374400cq	$1$	$1$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{13} \cdot 5^{4} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$15.99643613$	$1$		$0$	$6128640$	$2.285686$	$-21459903980300000/812017791$	$1.07582$	$4.32371$	$[0, 0, 0, -2245125, -1294860850]$	\(y^2=x^3-2245125x-1294860850\)	312.2.0.?	$[(24436490/41, 120128577770/41)]$
374400.dv1	374400dv1	374400.dv	374400dv	$1$	$1$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{13} \cdot 5^{10} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$30643200$	$3.090405$	$-21459903980300000/812017791$	$1.07582$	$5.07619$	$[0, 0, 0, -56128125, 161857606250]$	\(y^2=x^3-56128125x+161857606250\)	312.2.0.?	$[ ]$
374400.dz1	374400dz1	374400.dz	374400dz	$1$	$1$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{13} \cdot 5^{4} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$2.095960210$	$1$		$2$	$12257280$	$2.632259$	$-21459903980300000/812017791$	$1.07582$	$4.64778$	$[0, 0, 0, -8980500, -10358886800]$	\(y^2=x^3-8980500x-10358886800\)	312.2.0.?	$[(5516, 328536)]$
374400.hs1	374400hs1	374400.hs	374400hs	$1$	$1$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{13} \cdot 5^{10} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$4$	$2$	$0$	$30643200$	$3.090405$	$-21459903980300000/812017791$	$1.07582$	$5.07619$	$[0, 0, 0, -56128125, -161857606250]$	\(y^2=x^3-56128125x-161857606250\)	312.2.0.?	$[ ]$
374400.hv1	374400hv1	374400.hv	374400hv	$1$	$1$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{13} \cdot 5^{4} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$12257280$	$2.632259$	$-21459903980300000/812017791$	$1.07582$	$4.64778$	$[0, 0, 0, -8980500, 10358886800]$	\(y^2=x^3-8980500x+10358886800\)	312.2.0.?	$[ ]$
374400.iu1	374400iu1	374400.iu	374400iu	$1$	$1$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{13} \cdot 5^{10} \cdot 13^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$16$	$2$	$0$	$61286400$	$3.436977$	$-21459903980300000/812017791$	$1.07582$	$5.40026$	$[0, 0, 0, -224512500, -1294860850000]$	\(y^2=x^3-224512500x-1294860850000\)	312.2.0.?	$[ ]$
374400.iy1	374400iy1	374400.iy	374400iy	$1$	$1$	\( 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{13} \cdot 5^{4} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$2.774960982$	$1$		$0$	$6128640$	$2.285686$	$-21459903980300000/812017791$	$1.07582$	$4.32371$	$[0, 0, 0, -2245125, 1294860850]$	\(y^2=x^3-2245125x+1294860850\)	312.2.0.?	$[(3305/2, 15795/2)]$

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