Elliptic curves over $\Q$ of conductor 124912

Results (4 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
124912.a1	124912c1	124912.a	124912c	$1$	$1$	\( 2^{4} \cdot 37 \cdot 211 \)	\( - 2^{15} \cdot 37 \cdot 211 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$62456$	$2$	$0$	$1.217074215$	$1$		$10$	$51264$	$0.349928$	$-545338513/62456$	$0.73518$	$2.43838$	$[0, -1, 0, -272, 1984]$	\(y^2=x^3-x^2-272x+1984\)	62456.2.0.?	$[(8, 16), (2, 38)]$
124912.b1	124912d1	124912.b	124912d	$1$	$1$	\( 2^{4} \cdot 37 \cdot 211 \)	\( - 2^{4} \cdot 37^{3} \cdot 211 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15614$	$2$	$0$	$1$	$1$		$0$	$100800$	$0.840016$	$-6193982557815552/10687783$	$0.88310$	$3.33479$	$[0, 0, 0, -9641, -364361]$	\(y^2=x^3-9641x-364361\)	15614.2.0.?	$[]$
124912.c1	124912a1	124912.c	124912a	$1$	$1$	\( 2^{4} \cdot 37 \cdot 211 \)	\( - 2^{4} \cdot 37 \cdot 211 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15614$	$2$	$0$	$1$	$1$		$0$	$7808$	$-0.343056$	$6912/7807$	$0.65962$	$1.63519$	$[0, 0, 0, 1, 17]$	\(y^2=x^3+x+17\)	15614.2.0.?	$[]$
124912.d1	124912b1	124912.d	124912b	$1$	$1$	\( 2^{4} \cdot 37 \cdot 211 \)	\( - 2^{11} \cdot 37 \cdot 211^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$62456$	$2$	$0$	$0.703186696$	$1$		$2$	$205632$	$1.091585$	$-33307315058306/347575447$	$0.89102$	$3.30448$	$[0, 1, 0, -8512, 302164]$	\(y^2=x^3+x^2-8512x+302164\)	62456.2.0.?	$[(15, 422)]$