Elliptic curve search results

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
49368.u1	49368r1	49368.u	49368r	$1$	$1$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{10} \cdot 11^{4} \cdot 17^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$0.103611391$	$1$		$26$	$115200$	$1.343643$	$501633924352/290107737$	$1.27398$	$3.63700$	$[0, 1, 0, -10204, -13543]$	\(y^2=x^3+x^2-10204x-13543\)	34.2.0.a.1	$[(-37, 561), (-88, 459)]$
49368.w1	49368bd1	49368.w	49368bd	$1$	$1$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{10} \cdot 11^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$1$		$0$	$1267200$	$2.542591$	$501633924352/290107737$	$1.27398$	$4.96830$	$[0, 1, 0, -1234724, 13086885]$	\(y^2=x^3+x^2-1234724x+13086885\)	34.2.0.a.1	$[]$
98736.i1	98736j1	98736.i	98736j	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{10} \cdot 11^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$1$		$0$	$2534400$	$2.542591$	$501633924352/290107737$	$1.27398$	$4.66885$	$[0, -1, 0, -1234724, -13086885]$	\(y^2=x^3-x^2-1234724x-13086885\)	34.2.0.a.1	$[]$
98736.s1	98736r1	98736.s	98736r	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{10} \cdot 11^{4} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1.483252163$	$1$		$0$	$230400$	$1.343643$	$501633924352/290107737$	$1.27398$	$3.41779$	$[0, -1, 0, -10204, 13543]$	\(y^2=x^3-x^2-10204x+13543\)	34.2.0.a.1	$[(-107/2, 4131/2)]$
148104.bw1	148104s1	148104.bw	148104s	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{16} \cdot 11^{4} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$1$		$0$	$921600$	$1.892948$	$501633924352/290107737$	$1.27398$	$3.85505$	$[0, 0, 0, -91839, 273823]$	\(y^2=x^3-91839x+273823\)	34.2.0.a.1	$[]$
148104.cf1	148104ce1	148104.cf	148104ce	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{16} \cdot 11^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$4$	$2$	$0$	$10137600$	$3.091896$	$501633924352/290107737$	$1.27398$	$5.06350$	$[0, 0, 0, -11112519, -364458413]$	\(y^2=x^3-11112519x-364458413\)	34.2.0.a.1	$[]$
296208.en1	296208en1	296208.en	296208en	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{16} \cdot 11^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$1$		$0$	$20275200$	$3.091896$	$501633924352/290107737$	$1.27398$	$4.78492$	$[0, 0, 0, -11112519, 364458413]$	\(y^2=x^3-11112519x+364458413\)	34.2.0.a.1	$[]$
296208.fc1	296208fc1	296208.fc	296208fc	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{16} \cdot 11^{4} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$5.985748161$	$1$		$0$	$1843200$	$1.892948$	$501633924352/290107737$	$1.27398$	$3.64296$	$[0, 0, 0, -91839, -273823]$	\(y^2=x^3-91839x-273823\)	34.2.0.a.1	$[(-2519/4, 205227/4)]$
394944.dk1	394944dk1	394944.dk	394944dk	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3^{10} \cdot 11^{4} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$3.817654985$	$1$		$2$	$1843200$	$1.690216$	$501633924352/290107737$	$1.27398$	$3.37285$	$[0, -1, 0, -40817, -67527]$	\(y^2=x^3-x^2-40817x-67527\)	34.2.0.a.1	$[(216, 1071)]$
394944.dz1	394944dz1	394944.dz	394944dz	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3^{10} \cdot 11^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$4$	$2$	$0$	$20275200$	$2.889164$	$501633924352/290107737$	$1.27398$	$4.48932$	$[0, -1, 0, -4938897, 109633977]$	\(y^2=x^3-x^2-4938897x+109633977\)	34.2.0.a.1	$[]$
394944.if1	394944if1	394944.if	394944if	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3^{10} \cdot 11^{10} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$1$	$4$	$2$	$0$	$20275200$	$2.889164$	$501633924352/290107737$	$1.27398$	$4.48932$	$[0, 1, 0, -4938897, -109633977]$	\(y^2=x^3+x^2-4938897x-109633977\)	34.2.0.a.1	$[]$
394944.is1	394944is1	394944.is	394944is	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3^{10} \cdot 11^{4} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$34$	$2$	$0$	$0.458306997$	$1$		$4$	$1843200$	$1.690216$	$501633924352/290107737$	$1.27398$	$3.37285$	$[0, 1, 0, -40817, 67527]$	\(y^2=x^3+x^2-40817x+67527\)	34.2.0.a.1	$[(634, 15147)]$