Elliptic curves over $\Q$ of conductor 77976

Results (12 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
77976.a1	77976l1	77976.a	77976l	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 19^{2} \)	\( - 2^{8} \cdot 3^{5} \cdot 19^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$172368$	$1.104624$	$-3072$	$0.94639$	$3.30085$	$[0, 0, 0, -4332, -137180]$	\(y^2=x^3-4332x-137180\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[]$
77976.b1	77976e1	77976.b	77976e	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 19^{2} \)	\( 2^{11} \cdot 3^{3} \cdot 19^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$456$	$2$	$0$	$8.013269574$	$1$		$0$	$4112640$	$2.794010$	$1893353800518/893871739$	$1.05451$	$5.04756$	$[0, 0, 0, -3544659, -1102419634]$	\(y^2=x^3-3544659x-1102419634\)	456.2.0.?	$[(-2645674/73, 8998143766/73)]$
77976.c1	77976j1	77976.c	77976j	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 19^{2} \)	\( 2^{11} \cdot 3^{9} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$456$	$2$	$0$	$1$	$1$		$0$	$518400$	$1.870577$	$39366/19$	$0.92397$	$4.06239$	$[0, 0, 0, -87723, 4074246]$	\(y^2=x^3-87723x+4074246\)	456.2.0.?	$[]$
77976.d1	77976h1	77976.d	77976h	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{5} \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$24$	$2$	$0$	$2.043593548$	$1$		$2$	$171072$	$1.244709$	$-6$	$1.22518$	$3.39506$	$[0, 0, 0, -1083, 233206]$	\(y^2=x^3-1083x+233206\)	24.2.0.b.1	$[(266, 4332)]$
77976.e1	77976g1	77976.e	77976g	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$228$	$8$	$0$	$1$	$1$		$0$	$474240$	$1.932461$	$1500$	$0.78319$	$4.10485$	$[0, 0, 0, 102885, 4952198]$	\(y^2=x^3+102885x+4952198\)	4.4.0.a.1, 228.8.0.?	$[]$
77976.f1	77976b1	77976.f	77976b	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$228$	$8$	$0$	$1$	$1$		$0$	$24960$	$0.460241$	$1500$	$0.78319$	$2.53646$	$[0, 0, 0, 285, -722]$	\(y^2=x^3+285x-722\)	4.4.0.a.1, 228.8.0.?	$[]$
77976.g1	77976i1	77976.g	77976i	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{11} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$228$	$8$	$0$	$3.704392154$	$1$		$2$	$74880$	$1.009546$	$1500$	$0.78319$	$3.12165$	$[0, 0, 0, 2565, 19494]$	\(y^2=x^3+2565x+19494\)	4.4.0.a.1, 228.8.0.?	$[(475, 10412)]$
77976.h1	77976a1	77976.h	77976a	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{11} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$228$	$8$	$0$	$17.82443873$	$1$		$0$	$1422720$	$2.481766$	$1500$	$0.78319$	$4.69004$	$[0, 0, 0, 925965, -133709346]$	\(y^2=x^3+925965x-133709346\)	4.4.0.a.1, 228.8.0.?	$[(12884704783/211, 1462561402232924/211)]$
77976.i1	77976d1	77976.i	77976d	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{11} \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓				$24$	$2$	$0$	$21.83859578$	$1$		$0$	$513216$	$1.794014$	$-6$	$1.22518$	$3.98025$	$[0, 0, 0, -9747, -6296562]$	\(y^2=x^3-9747x-6296562\)	24.2.0.b.1	$[(34967575414/13111, 837761062768622/13111)]$
77976.j1	77976c1	77976.j	77976c	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 19^{2} \)	\( 2^{11} \cdot 3^{3} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$456$	$2$	$0$	$8.058146660$	$1$		$0$	$172800$	$1.321272$	$39366/19$	$0.92397$	$3.47720$	$[0, 0, 0, -9747, -150898]$	\(y^2=x^3-9747x-150898\)	456.2.0.?	$[(-12046/25, 2697392/25)]$
77976.k1	77976k1	77976.k	77976k	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 19^{2} \)	\( 2^{11} \cdot 3^{9} \cdot 19^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$456$	$2$	$0$	$1$	$1$		$0$	$12337920$	$3.343315$	$1893353800518/893871739$	$1.05451$	$5.63275$	$[0, 0, 0, -31901931, 29765330118]$	\(y^2=x^3-31901931x+29765330118\)	456.2.0.?	$[]$
77976.l1	77976f1	77976.l	77976f	$1$	$1$	\( 2^{3} \cdot 3^{3} \cdot 19^{2} \)	\( - 2^{8} \cdot 3^{11} \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	4.4.0.1		$12$	$8$	$0$	$4.997394545$	$1$		$2$	$517104$	$1.653931$	$-3072$	$0.94639$	$3.88604$	$[0, 0, 0, -38988, 3703860]$	\(y^2=x^3-38988x+3703860\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(-230, 710)]$