Elliptic curve search results

Results (5 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
51870.k2	51870n2	51870.k	51870n	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.6.0.1	2Cs	$41496$	$48$	$0$	$0.948307274$	$1$		$34$	$98304$	$1.031960$	$6933016959591241/1076198760000$	$0.88755$	$3.35975$	$[1, 1, 0, -3972, 80784]$	\(y^2+xy=x^3+x^2-3972x+80784\)	2.6.0.a.1, 24.12.0-2.a.1.1, 76.12.0.?, 364.12.0.?, 456.24.0.?, $\ldots$	$[(3, 261), (48, 36)]$
155610.dm2	155610ca2	155610.dm	155610ca	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{6} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$41496$	$48$	$0$	$1.330795284$	$1$		$12$	$786432$	$1.581266$	$6933016959591241/1076198760000$	$0.88755$	$3.60237$	$[1, -1, 1, -35753, -2216919]$	\(y^2+xy+y=x^3-x^2-35753x-2216919\)	2.6.0.a.1, 8.12.0-2.a.1.1, 228.12.0.?, 456.24.0.?, 1092.12.0.?, $\ldots$	$[(-85, 492)]$
259350.gj2	259350gj2	259350.gj	259350gj	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$207480$	$48$	$0$	$1.724274775$	$1$		$8$	$2359296$	$1.836679$	$6933016959591241/1076198760000$	$0.88755$	$3.70062$	$[1, 0, 0, -99313, 10296617]$	\(y^2+xy=x^3-99313x+10296617\)	2.6.0.a.1, 120.12.0.?, 380.12.0.?, 456.12.0.?, 1820.12.0.?, $\ldots$	$[(22, 2839)]$
363090.ck2	363090ck2	363090.ck	363090ck	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \cdot 13^{2} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$41496$	$48$	$0$	$3.633792002$	$1$		$6$	$4718592$	$2.004917$	$6933016959591241/1076198760000$	$0.88755$	$3.76105$	$[1, 0, 1, -194654, -28292848]$	\(y^2+xy+y=x^3-194654x-28292848\)	2.6.0.a.1, 52.12.0-2.a.1.1, 168.12.0.?, 456.12.0.?, 532.12.0.?, $\ldots$	$[(-174, 649)]$
414960.hq2	414960hq2	414960.hq	414960hq	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{18} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$41496$	$48$	$0$	$1$	$1$		$3$	$2359296$	$1.725107$	$6933016959591241/1076198760000$	$0.88755$	$3.46267$	$[0, 1, 0, -63560, -5297292]$	\(y^2=x^3+x^2-63560x-5297292\)	2.6.0.a.1, 24.12.0-2.a.1.1, 76.12.0.?, 364.12.0.?, 456.24.0.?, $\ldots$	$[]$