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
1324.a1	1324a1	1324.a	1324a	$1$	$1$	\( 2^{2} \cdot 331 \)	\( - 2^{4} \cdot 331 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$0.222923629$	$1$		$18$	$108$	$-0.601645$	$131072/331$	$0.75736$	$2.19369$	$[0, 1, 0, 3, 4]$	\(y^2=x^3+x^2+3x+4\)	662.2.0.?	$[(-1, 1), (1, 3)]$
5296.d1	5296f1	5296.d	5296f	$1$	$1$	\( 2^{4} \cdot 331 \)	\( - 2^{4} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$2.204522303$	$1$		$0$	$432$	$-0.601645$	$131072/331$	$0.75736$	$1.83903$	$[0, -1, 0, 3, -4]$	\(y^2=x^3-x^2+3x-4\)	662.2.0.?	$[(5/2, 3/2)]$
11916.i1	11916e1	11916.i	11916e	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 331 \)	\( - 2^{4} \cdot 3^{6} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1.945875980$	$1$		$2$	$2592$	$-0.052338$	$131072/331$	$0.75736$	$2.38245$	$[0, 0, 0, 24, -83]$	\(y^2=x^3+24x-83\)	662.2.0.?	$[(3, 4)]$
21184.e1	21184j1	21184.e	21184j	$1$	$1$	\( 2^{6} \cdot 331 \)	\( - 2^{10} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1$	$1$		$0$	$3456$	$-0.255071$	$131072/331$	$0.75736$	$2.00061$	$[0, 1, 0, 11, -21]$	\(y^2=x^3+x^2+11x-21\)	662.2.0.?	$[]$
21184.k1	21184f1	21184.k	21184f	$1$	$1$	\( 2^{6} \cdot 331 \)	\( - 2^{10} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1$	$1$		$0$	$3456$	$-0.255071$	$131072/331$	$0.75736$	$2.00061$	$[0, -1, 0, 11, 21]$	\(y^2=x^3-x^2+11x+21\)	662.2.0.?	$[]$
33100.b1	33100a1	33100.b	33100a	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 331 \)	\( - 2^{4} \cdot 5^{6} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1$	$4$	$2$	$0$	$11664$	$0.203075$	$131072/331$	$0.75736$	$2.44307$	$[0, -1, 0, 67, 362]$	\(y^2=x^3-x^2+67x+362\)	662.2.0.?	$[]$
47664.bs1	47664bv1	47664.bs	47664bv	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 331 \)	\( - 2^{4} \cdot 3^{6} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1$	$1$		$0$	$10368$	$-0.052338$	$131072/331$	$0.75736$	$2.07584$	$[0, 0, 0, 24, 83]$	\(y^2=x^3+24x+83\)	662.2.0.?	$[]$
64876.c1	64876a1	64876.c	64876a	$1$	$1$	\( 2^{2} \cdot 7^{2} \cdot 331 \)	\( - 2^{4} \cdot 7^{6} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$2.411642469$	$1$		$2$	$31104$	$0.371311$	$131072/331$	$0.75736$	$2.47690$	$[0, -1, 0, 131, -1098]$	\(y^2=x^3-x^2+131x-1098\)	662.2.0.?	$[(9, 27)]$
132400.a1	132400b1	132400.a	132400b	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 331 \)	\( - 2^{4} \cdot 5^{6} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$4.436909313$	$1$		$0$	$46656$	$0.203075$	$131072/331$	$0.75736$	$2.15590$	$[0, 1, 0, 67, -362]$	\(y^2=x^3+x^2+67x-362\)	662.2.0.?	$[(61/2, 533/2)]$
160204.a1	160204a1	160204.a	160204a	$1$	$1$	\( 2^{2} \cdot 11^{2} \cdot 331 \)	\( - 2^{4} \cdot 11^{6} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$3.286626999$	$1$		$2$	$151200$	$0.597303$	$131072/331$	$0.75736$	$2.51636$	$[0, 1, 0, 323, -3984]$	\(y^2=x^3+x^2+323x-3984\)	662.2.0.?	$[(12, 42)]$
190656.g1	190656bz1	190656.g	190656bz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 331 \)	\( - 2^{10} \cdot 3^{6} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1.063535834$	$1$		$4$	$82944$	$0.294236$	$131072/331$	$0.75736$	$2.18122$	$[0, 0, 0, 96, -664]$	\(y^2=x^3+96x-664\)	662.2.0.?	$[(10, 36)]$
190656.t1	190656h1	190656.t	190656h	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 331 \)	\( - 2^{10} \cdot 3^{6} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1.716713360$	$1$		$2$	$82944$	$0.294236$	$131072/331$	$0.75736$	$2.18122$	$[0, 0, 0, 96, 664]$	\(y^2=x^3+96x+664\)	662.2.0.?	$[(26, 144)]$
223756.d1	223756d1	223756.d	223756d	$1$	$1$	\( 2^{2} \cdot 13^{2} \cdot 331 \)	\( - 2^{4} \cdot 13^{6} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$4.767366220$	$1$		$0$	$207360$	$0.680830$	$131072/331$	$0.75736$	$2.52947$	$[0, 1, 0, 451, 6904]$	\(y^2=x^3+x^2+451x+6904\)	662.2.0.?	$[(-35/2, 389/2)]$
259504.j1	259504j1	259504.j	259504j	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 331 \)	\( - 2^{4} \cdot 7^{6} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1$	$1$		$0$	$124416$	$0.371311$	$131072/331$	$0.75736$	$2.20146$	$[0, 1, 0, 131, 1098]$	\(y^2=x^3+x^2+131x+1098\)	662.2.0.?	$[]$
297900.z1	297900z1	297900.z	297900z	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 331 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$3.329520243$	$1$		$2$	$279936$	$0.752381$	$131072/331$	$0.75736$	$2.54016$	$[0, 0, 0, 600, -10375]$	\(y^2=x^3+600x-10375\)	662.2.0.?	$[(26, 151)]$
382636.d1	382636d1	382636.d	382636d	$1$	$1$	\( 2^{2} \cdot 17^{2} \cdot 331 \)	\( - 2^{4} \cdot 17^{6} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1$	$4$	$2$	$0$	$544320$	$0.814962$	$131072/331$	$0.75736$	$2.54911$	$[0, -1, 0, 771, 14846]$	\(y^2=x^3-x^2+771x+14846\)	662.2.0.?	$[]$
438244.b1	438244b1	438244.b	438244b	$1$	$1$	\( 2^{2} \cdot 331^{2} \)	\( - 2^{4} \cdot 331^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$7.261949539$	$4$	$2$	$0$	$11832480$	$2.299416$	$131072/331$	$0.75736$	$3.89375$	$[0, -1, 0, 292163, -111577734]$	\(y^2=x^3-x^2+292163x-111577734\)	662.2.0.?	$[(469030/3, 321232852/3)]$
477964.e1	477964e1	477964.e	477964e	$1$	$1$	\( 2^{2} \cdot 19^{2} \cdot 331 \)	\( - 2^{4} \cdot 19^{6} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1$	$4$	$2$	$0$	$775656$	$0.870575$	$131072/331$	$0.75736$	$2.55678$	$[0, -1, 0, 963, -21406]$	\(y^2=x^3-x^2+963x-21406\)	662.2.0.?	$[]$