Elliptic curve search results

Results (9 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
18354.s1	18354v1	18354.s	18354v	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23 \)	\( - 2^{19} \cdot 3^{3} \cdot 7 \cdot 19^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3864$	$2$	$0$	$0.234202193$	$1$		$6$	$29184$	$0.969106$	$-100940836056481/822747856896$	$0.91887$	$3.56087$	$[1, 1, 1, -970, 44759]$	\(y^2+xy+y=x^3+x^2-970x+44759\)	3864.2.0.?	$[(73, 571)]$
55062.h1	55062s1	55062.h	55062s	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( - 2^{19} \cdot 3^{9} \cdot 7 \cdot 19^{2} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3864$	$2$	$0$	$1$	$1$		$0$	$233472$	$1.518412$	$-100940836056481/822747856896$	$0.91887$	$3.80635$	$[1, -1, 0, -8730, -1217228]$	\(y^2+xy=x^3-x^2-8730x-1217228\)	3864.2.0.?	$[]$
128478.co1	128478cn1	128478.co	128478cn	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23 \)	\( - 2^{19} \cdot 3^{3} \cdot 7^{7} \cdot 19^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3864$	$2$	$0$	$0.202225827$	$1$		$8$	$1400832$	$1.942060$	$-100940836056481/822747856896$	$0.91887$	$3.96435$	$[1, 0, 0, -47531, -15494991]$	\(y^2+xy=x^3-47531x-15494991\)	3864.2.0.?	$[(550, 10897)]$
146832.bm1	146832m1	146832.bm	146832m	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \cdot 23 \)	\( - 2^{31} \cdot 3^{3} \cdot 7 \cdot 19^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3864$	$2$	$0$	$1.902637979$	$1$		$0$	$700416$	$1.662252$	$-100940836056481/822747856896$	$0.91887$	$3.63763$	$[0, 1, 0, -15520, -2895628]$	\(y^2=x^3+x^2-15520x-2895628\)	3864.2.0.?	$[(2218/3, 77824/3)]$
348726.bc1	348726bc1	348726.bc	348726bc	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \cdot 23 \)	\( - 2^{19} \cdot 3^{3} \cdot 7 \cdot 19^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3864$	$2$	$0$	$13.76916223$	$1$		$0$	$10506240$	$2.441326$	$-100940836056481/822747856896$	$0.91887$	$4.12362$	$[1, 0, 1, -350178, -309804620]$	\(y^2+xy+y=x^3-350178x-309804620\)	3864.2.0.?	$[(34017920/89, 194616160755/89)]$
385434.bw1	385434bw1	385434.bw	385434bw	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \cdot 23 \)	\( - 2^{19} \cdot 3^{9} \cdot 7^{7} \cdot 19^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3864$	$2$	$0$	$2.388143303$	$1$		$2$	$11206656$	$2.491367$	$-100940836056481/822747856896$	$0.91887$	$4.13822$	$[1, -1, 0, -427779, 418364757]$	\(y^2+xy=x^3-x^2-427779x+418364757\)	3864.2.0.?	$[(1143, 37134)]$
422142.ck1	422142ck1	422142.ck	422142ck	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( - 2^{19} \cdot 3^{3} \cdot 7 \cdot 19^{2} \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3864$	$2$	$0$	$0.900172488$	$1$		$4$	$15409152$	$2.536854$	$-100940836056481/822747856896$	$0.91887$	$4.15130$	$[1, 1, 1, -513141, -549716325]$	\(y^2+xy+y=x^3+x^2-513141x-549716325\)	3864.2.0.?	$[(2727, 134060)]$
440496.be1	440496be1	440496.be	440496be	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( - 2^{31} \cdot 3^{9} \cdot 7 \cdot 19^{2} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3864$	$2$	$0$	$1$	$1$		$0$	$5603328$	$2.211559$	$-100940836056481/822747856896$	$0.91887$	$3.83733$	$[0, 0, 0, -139683, 78042274]$	\(y^2=x^3-139683x+78042274\)	3864.2.0.?	$[]$
458850.bt1	458850bt1	458850.bt	458850bt	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( - 2^{19} \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 19^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3864$	$2$	$0$	$3.660796702$	$1$		$2$	$4085760$	$1.773825$	$-100940836056481/822747856896$	$0.91887$	$3.42239$	$[1, 0, 1, -24251, 5643398]$	\(y^2+xy+y=x^3-24251x+5643398\)	3864.2.0.?	$[(-222, 424)]$