Elliptic curve search results

Results (8 matches)

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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	Manin constant
5461.a1	5461a1	5461.a	5461a	$1$	$1$	\( 43 \cdot 127 \)	\( 43 \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$10922$	$2$	$0$	$0.486294955$	$1$		$6$	$372$	$-0.469421$	$481890304/5461$	$0.78193$	$2.32334$	$[0, -1, 1, -16, -20]$	\(y^2+y=x^3-x^2-16x-20\)	10922.2.0.?	$[(-2, 0)]$	$1$
49149.h1	49149d1	49149.h	49149d	$1$	$1$	\( 3^{2} \cdot 43 \cdot 127 \)	\( 3^{6} \cdot 43 \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10922$	$2$	$0$	$1$	$1$		$0$	$11160$	$0.079885$	$481890304/5461$	$0.78193$	$2.46097$	$[0, 0, 1, -147, 679]$	\(y^2+y=x^3-147x+679\)	10922.2.0.?	$[ ]$	$1$
87376.d1	87376e1	87376.d	87376e	$1$	$1$	\( 2^{4} \cdot 43 \cdot 127 \)	\( 2^{12} \cdot 43 \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10922$	$2$	$0$	$1$	$1$		$0$	$14880$	$0.223726$	$481890304/5461$	$0.78193$	$2.48823$	$[0, 1, 0, -261, 1523]$	\(y^2=x^3+x^2-261x+1523\)	10922.2.0.?	$[ ]$	$1$
136525.c1	136525c1	136525.c	136525c	$1$	$1$	\( 5^{2} \cdot 43 \cdot 127 \)	\( 5^{6} \cdot 43 \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10922$	$2$	$0$	$17.43504830$	$1$		$0$	$52080$	$0.335298$	$481890304/5461$	$0.78193$	$2.50754$	$[0, 1, 1, -408, -3281]$	\(y^2+y=x^3+x^2-408x-3281\)	10922.2.0.?	$[(-55162259/2142, 50009504273/2142)]$	$1$
234823.h1	234823h1	234823.h	234823h	$1$	$1$	\( 43^{2} \cdot 127 \)	\( 43^{7} \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10922$	$2$	$0$	$1$	$1$		$0$	$687456$	$1.411179$	$481890304/5461$	$0.78193$	$3.44157$	$[0, 1, 1, -30200, 1990123]$	\(y^2+y=x^3+x^2-30200x+1990123\)	10922.2.0.?	$[ ]$	$1$
267589.a1	267589a1	267589.a	267589a	$1$	$1$	\( 7^{2} \cdot 43 \cdot 127 \)	\( 7^{6} \cdot 43 \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10922$	$2$	$0$	$1$	$1$		$0$	$140616$	$0.503534$	$481890304/5461$	$0.78193$	$2.53406$	$[0, 1, 1, -800, 8362]$	\(y^2+y=x^3+x^2-800x+8362\)	10922.2.0.?	$[ ]$	$1$
349504.f1	349504f1	349504.f	349504f	$1$	$1$	\( 2^{6} \cdot 43 \cdot 127 \)	\( 2^{6} \cdot 43 \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10922$	$2$	$0$	$2.484948084$	$1$		$2$	$29760$	$-0.122848$	$481890304/5461$	$0.78193$	$1.89217$	$[0, -1, 0, -65, 223]$	\(y^2=x^3-x^2-65x+223\)	10922.2.0.?	$[(-6, 19)]$	$1$
349504.h1	349504h1	349504.h	349504h	$1$	$1$	\( 2^{6} \cdot 43 \cdot 127 \)	\( 2^{6} \cdot 43 \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10922$	$2$	$0$	$1$	$1$		$0$	$29760$	$-0.122848$	$481890304/5461$	$0.78193$	$1.89217$	$[0, 1, 0, -65, -223]$	\(y^2=x^3+x^2-65x-223\)	10922.2.0.?	$[ ]$	$1$

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