Elliptic curve search results

Results (18 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
1126.a1	1126a1	1126.a	1126a	$1$	$1$	\( 2 \cdot 563 \)	\( - 2^{4} \cdot 563 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1126$	$2$	$0$	$0.229392466$	$1$		$18$	$176$	$-0.560435$	$658503/9008$	$0.80611$	$2.35075$	$1$	$[1, -1, 0, 2, 4]$	\(y^2+xy=x^3-x^2+2x+4\)	1126.2.0.?	$[(0, 2), (4, 6)]$	$1$
9008.d1	9008e1	9008.d	9008e	$1$	$1$	\( 2^{4} \cdot 563 \)	\( - 2^{16} \cdot 563 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$1$	$1$		$0$	$4224$	$0.132712$	$658503/9008$	$0.80611$	$2.72738$	$1$	$[0, 0, 0, 29, -286]$	\(y^2=x^3+29x-286\)	1126.2.0.?	$[ ]$	$1$
10134.h1	10134g1	10134.h	10134g	$1$	$1$	\( 2 \cdot 3^{2} \cdot 563 \)	\( - 2^{4} \cdot 3^{6} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$1.458187143$	$1$		$2$	$2464$	$-0.011129$	$658503/9008$	$0.80611$	$2.50541$	$1$	$[1, -1, 1, 16, -125]$	\(y^2+xy+y=x^3-x^2+16x-125\)	1126.2.0.?	$[(5, 5)]$	$1$
28150.a1	28150a1	28150.a	28150a	$1$	$1$	\( 2 \cdot 5^{2} \cdot 563 \)	\( - 2^{4} \cdot 5^{6} \cdot 563 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$1$	$1$		$0$	$22528$	$0.244284$	$658503/9008$	$0.80611$	$2.55473$	$1$	$[1, -1, 1, 45, 547]$	\(y^2+xy+y=x^3-x^2+45x+547\)	1126.2.0.?	$[ ]$	$1$
36032.b1	36032j1	36032.b	36032j	$1$	$1$	\( 2^{6} \cdot 563 \)	\( - 2^{22} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$3.420384431$	$1$		$2$	$33792$	$0.479285$	$658503/9008$	$0.80611$	$2.76340$	$1$	$[0, 0, 0, 116, -2288]$	\(y^2=x^3+116x-2288\)	1126.2.0.?	$[(21, 97)]$	$1$
36032.j1	36032c1	36032.j	36032c	$1$	$1$	\( 2^{6} \cdot 563 \)	\( - 2^{22} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$5.224176484$	$1$		$0$	$33792$	$0.479285$	$658503/9008$	$0.80611$	$2.76340$	$1$	$[0, 0, 0, 116, 2288]$	\(y^2=x^3+116x+2288\)	1126.2.0.?	$[(-59/3, 953/3)]$	$1$
55174.e1	55174c1	55174.e	55174c	$1$	$1$	\( 2 \cdot 7^{2} \cdot 563 \)	\( - 2^{4} \cdot 7^{6} \cdot 563 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$1$	$4$	$2$	$0$	$58080$	$0.412520$	$658503/9008$	$0.80611$	$2.58217$	$1$	$[1, -1, 0, 89, -1555]$	\(y^2+xy=x^3-x^2+89x-1555\)	1126.2.0.?	$[ ]$	$1$
81072.p1	81072o1	81072.p	81072o	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 563 \)	\( - 2^{16} \cdot 3^{6} \cdot 563 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$1$	$1$		$0$	$59136$	$0.682018$	$658503/9008$	$0.80611$	$2.78037$	$1$	$[0, 0, 0, 261, 7722]$	\(y^2=x^3+261x+7722\)	1126.2.0.?	$[ ]$	$1$
136246.e1	136246a1	136246.e	136246a	$1$	$1$	\( 2 \cdot 11^{2} \cdot 563 \)	\( - 2^{4} \cdot 11^{6} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$0.725026811$	$1$		$6$	$253440$	$0.638513$	$658503/9008$	$0.80611$	$2.61412$	$1$	$[1, -1, 1, 219, -6003]$	\(y^2+xy+y=x^3-x^2+219x-6003\)	1126.2.0.?	$[(25, 108)]$	$1$
190294.f1	190294a1	190294.f	190294a	$1$	$1$	\( 2 \cdot 13^{2} \cdot 563 \)	\( - 2^{4} \cdot 13^{6} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$0.706477545$	$1$		$4$	$337920$	$0.722039$	$658503/9008$	$0.80611$	$2.62473$	$1$	$[1, -1, 1, 306, 9741]$	\(y^2+xy+y=x^3-x^2+306x+9741\)	1126.2.0.?	$[(23, 157)]$	$1$
225200.a1	225200a1	225200.a	225200a	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 563 \)	\( - 2^{16} \cdot 5^{6} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$0.989329332$	$1$		$4$	$540672$	$0.937430$	$658503/9008$	$0.80611$	$2.79858$	$1$	$[0, 0, 0, 725, -35750]$	\(y^2=x^3+725x-35750\)	1126.2.0.?	$[(85, 800)]$	$1$
253350.k1	253350k1	253350.k	253350k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 563 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$2.982017651$	$1$		$2$	$315392$	$0.793590$	$658503/9008$	$0.80611$	$2.63336$	$1$	$[1, -1, 0, 408, -15184]$	\(y^2+xy=x^3-x^2+408x-15184\)	1126.2.0.?	$[(20, 16)]$	$1$
324288.j1	324288j1	324288.j	324288j	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 563 \)	\( - 2^{22} \cdot 3^{6} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$8.796711517$	$1$		$2$	$473088$	$1.028591$	$658503/9008$	$0.80611$	$2.80437$	$1$	$[0, 0, 0, 1044, -61776]$	\(y^2=x^3+1044x-61776\)	1126.2.0.?	$[(6589, 534853)]$	$1$
324288.q1	324288q1	324288.q	324288q	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 563 \)	\( - 2^{22} \cdot 3^{6} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$6.385294915$	$1$		$0$	$473088$	$1.028591$	$658503/9008$	$0.80611$	$2.80437$	$1$	$[0, 0, 0, 1044, 61776]$	\(y^2=x^3+1044x+61776\)	1126.2.0.?	$[(109/3, 7453/3)]$	$1$
325414.b1	325414b1	325414.b	325414b	$1$	$1$	\( 2 \cdot 17^{2} \cdot 563 \)	\( - 2^{4} \cdot 17^{6} \cdot 563 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$1$	$4$	$2$	$0$	$887040$	$0.856172$	$658503/9008$	$0.80611$	$2.64059$	$1$	$[1, -1, 0, 524, 21824]$	\(y^2+xy=x^3-x^2+524x+21824\)	1126.2.0.?	$[ ]$	$1$
406486.d1	406486d1	406486.d	406486d	$1$	$1$	\( 2 \cdot 19^{2} \cdot 563 \)	\( - 2^{4} \cdot 19^{6} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$10.50201437$	$1$		$0$	$1188000$	$0.911784$	$658503/9008$	$0.80611$	$2.64678$	$1$	$[1, -1, 1, 654, -30815]$	\(y^2+xy+y=x^3-x^2+654x-30815\)	1126.2.0.?	$[(29611/18, 4901329/18)]$	$1$
441392.c1	441392c1	441392.c	441392c	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 563 \)	\( - 2^{16} \cdot 7^{6} \cdot 563 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$1$	$1$		$0$	$1393920$	$1.105667$	$658503/9008$	$0.80611$	$2.80901$	$1$	$[0, 0, 0, 1421, 98098]$	\(y^2=x^3+1421x+98098\)	1126.2.0.?	$[ ]$	$1$
496566.r1	496566r1	496566.r	496566r	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 563 \)	\( - 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$5.445998554$	$1$		$0$	$813120$	$0.961826$	$658503/9008$	$0.80611$	$2.65217$	$1$	$[1, -1, 1, 799, 41185]$	\(y^2+xy+y=x^3-x^2+799x+41185\)	1126.2.0.?	$[(47/2, 1775/2)]$	$1$

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