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.f1	51870i1	51870.f	51870i	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( - 2^{11} \cdot 3^{15} \cdot 5 \cdot 7^{2} \cdot 13^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$29640$	$2$	$0$	$12.11066307$	$1$		$0$	$2534400$	$2.460705$	$-477699921678975260329/50790819477557053440$	$0.99415$	$4.86662$	$[1, 1, 0, -162858, -343886508]$	\(y^2+xy=x^3+x^2-162858x-343886508\)	29640.2.0.?	$[(298439/19, 61262034/19)]$
155610.fl1	155610q1	155610.fl	155610q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( - 2^{11} \cdot 3^{21} \cdot 5 \cdot 7^{2} \cdot 13^{5} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29640$	$2$	$0$	$1$	$1$		$0$	$20275200$	$3.010014$	$-477699921678975260329/50790819477557053440$	$0.99415$	$4.97077$	$[1, -1, 1, -1465727, 9283469991]$	\(y^2+xy+y=x^3-x^2-1465727x+9283469991\)	29640.2.0.?	$[]$
259350.fn1	259350fn1	259350.fn	259350fn	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \)	\( - 2^{11} \cdot 3^{15} \cdot 5^{7} \cdot 7^{2} \cdot 13^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29640$	$2$	$0$	$0.059905138$	$1$		$18$	$60825600$	$3.265427$	$-477699921678975260329/50790819477557053440$	$0.99415$	$5.01294$	$[1, 0, 0, -4071463, -42977670583]$	\(y^2+xy=x^3-4071463x-42977670583\)	29640.2.0.?	$[(7082, 528809)]$
363090.di1	363090di1	363090.di	363090di	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( - 2^{11} \cdot 3^{15} \cdot 5 \cdot 7^{8} \cdot 13^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29640$	$2$	$0$	$0.707824714$	$1$		$4$	$121651200$	$3.433662$	$-477699921678975260329/50790819477557053440$	$0.99415$	$5.03889$	$[1, 0, 1, -7980068, 117929132066]$	\(y^2+xy+y=x^3-7980068x+117929132066\)	29640.2.0.?	$[(732, 335014)]$
414960.ey1	414960ey1	414960.ey	414960ey	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( - 2^{23} \cdot 3^{15} \cdot 5 \cdot 7^{2} \cdot 13^{5} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$29640$	$2$	$0$	$0.931386456$	$1$		$4$	$60825600$	$3.153854$	$-477699921678975260329/50790819477557053440$	$0.99415$	$4.72731$	$[0, 1, 0, -2605736, 22003525044]$	\(y^2=x^3+x^2-2605736x+22003525044\)	29640.2.0.?	$[(1390, 145152)]$