Elliptic curves over $\Q$ of conductor 35234

Results (7 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
35234.a1	35234c1	35234.a	35234c	$1$	$1$	\( 2 \cdot 79 \cdot 223 \)	\( 2^{4} \cdot 79^{2} \cdot 223^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$892$	$2$	$0$	$0.434318950$	$1$		$12$	$84096$	$1.001102$	$1960681599548281/1107359802352$	$0.94906$	$3.36321$	$[1, 1, 0, -2607, -9035]$	\(y^2+xy=x^3+x^2-2607x-9035\)	892.2.0.?	$[(-47, 135), (1138/3, 33527/3)]$
35234.b1	35234a1	35234.b	35234a	$1$	$1$	\( 2 \cdot 79 \cdot 223 \)	\( 2^{6} \cdot 79^{2} \cdot 223 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$892$	$2$	$0$	$0.801867937$	$1$		$26$	$16896$	$0.252803$	$661459323097/89071552$	$0.79777$	$2.59965$	$[1, 1, 0, -181, 749]$	\(y^2+xy=x^3+x^2-181x+749\)	892.2.0.?	$[(-5, 42), (74, 595), (34/3, 265/3)]$
35234.c1	35234b1	35234.c	35234b	$1$	$1$	\( 2 \cdot 79 \cdot 223 \)	\( 2^{4} \cdot 79^{3} \cdot 223^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$316$	$2$	$0$	$1$	$1$		$0$	$78912$	$1.321497$	$12678170052069229609/392293382896$	$0.91213$	$4.20128$	$[1, 1, 0, -48578, -4141244]$	\(y^2+xy=x^3+x^2-48578x-4141244\)	316.2.0.?	$[]$
35234.d1	35234g1	35234.d	35234g	$1$	$1$	\( 2 \cdot 79 \cdot 223 \)	\( 2^{2} \cdot 79^{6} \cdot 223 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$892$	$2$	$0$	$0.722917205$	$1$		$0$	$220800$	$1.568056$	$21018749074390418625/216834010324732$	$0.93116$	$4.24956$	$[1, -1, 1, -57495, 5273139]$	\(y^2+xy+y=x^3-x^2-57495x+5273139\)	892.2.0.?	$[(207/2, 12271/2)]$
35234.e1	35234e1	35234.e	35234e	$1$	$1$	\( 2 \cdot 79 \cdot 223 \)	\( 2^{2} \cdot 79 \cdot 223^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$316$	$2$	$0$	$1.399075727$	$1$		$2$	$15456$	$0.230800$	$3359498792833/15714364$	$0.81019$	$2.75487$	$[1, 1, 1, -312, -2243]$	\(y^2+xy+y=x^3+x^2-312x-2243\)	316.2.0.?	$[(-11, 7)]$
35234.f1	35234d1	35234.f	35234d	$1$	$1$	\( 2 \cdot 79 \cdot 223 \)	\( 2^{18} \cdot 79 \cdot 223^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$316$	$2$	$0$	$0.337115777$	$1$		$12$	$57888$	$1.076923$	$30092129251441921/1029856559104$	$0.87918$	$3.62406$	$[1, 1, 1, -6480, 192049]$	\(y^2+xy+y=x^3+x^2-6480x+192049\)	316.2.0.?	$[(109, 837), (-11, 517)]$
35234.g1	35234f1	35234.g	35234f	$1$	$1$	\( 2 \cdot 79 \cdot 223 \)	\( 2^{2} \cdot 79^{2} \cdot 223 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$892$	$2$	$0$	$2.307722161$	$1$		$0$	$24448$	$0.544749$	$2725285507158241/5566972$	$0.89804$	$3.39466$	$[1, 0, 0, -2910, -60664]$	\(y^2+xy=x^3-2910x-60664\)	892.2.0.?	$[(-125/2, 127/2)]$