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
11271.c1	11271c1	11271.c	11271c	$1$	$1$	\( 3 \cdot 13 \cdot 17^{2} \)	\( 3 \cdot 13 \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$3.770000729$	$1$		$2$	$9792$	$0.888527$	$83521/39$	$0.94173$	$3.64401$	$[1, 1, 1, -1740, -13002]$	\(y^2+xy+y=x^3+x^2-1740x-13002\)	156.2.0.?	$[(-18, 122)]$
11271.d1	11271g1	11271.d	11271g	$1$	$1$	\( 3 \cdot 13 \cdot 17^{2} \)	\( 3 \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$0.920778608$	$1$		$2$	$576$	$-0.528079$	$83521/39$	$0.94173$	$1.82200$	$[1, 0, 0, -6, -3]$	\(y^2+xy=x^3-6x-3\)	156.2.0.?	$[(-1, 2)]$
33813.j1	33813p1	33813.j	33813p	$1$	$1$	\( 3^{2} \cdot 13 \cdot 17^{2} \)	\( 3^{7} \cdot 13 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$1$	$1$		$0$	$78336$	$1.437834$	$83521/39$	$0.94173$	$3.89220$	$[1, -1, 0, -15660, 335389]$	\(y^2+xy=x^3-x^2-15660x+335389\)	156.2.0.?	$[]$
33813.l1	33813m1	33813.l	33813m	$1$	$1$	\( 3^{2} \cdot 13 \cdot 17^{2} \)	\( 3^{7} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$0.689478302$	$1$		$2$	$4608$	$0.021227$	$83521/39$	$0.94173$	$2.26214$	$[1, -1, 0, -54, 81]$	\(y^2+xy=x^3-x^2-54x+81\)	156.2.0.?	$[(0, 9)]$
146523.s1	146523z1	146523.s	146523z	$1$	$1$	\( 3 \cdot 13^{2} \cdot 17^{2} \)	\( 3 \cdot 13^{7} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$1$	$1$		$0$	$1645056$	$2.171001$	$83521/39$	$0.94173$	$4.15204$	$[1, 1, 0, -294063, -27094686]$	\(y^2+xy=x^3+x^2-294063x-27094686\)	156.2.0.?	$[]$
146523.bc1	146523w1	146523.bc	146523w	$1$	$1$	\( 3 \cdot 13^{2} \cdot 17^{2} \)	\( 3 \cdot 13^{7} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$1$	$1$		$0$	$96768$	$0.754395$	$83521/39$	$0.94173$	$2.72292$	$[1, 0, 1, -1018, -5575]$	\(y^2+xy+y=x^3-1018x-5575\)	156.2.0.?	$[]$
180336.m1	180336be1	180336.m	180336be	$1$	$1$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( 2^{12} \cdot 3 \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$1.545682790$	$1$		$4$	$36864$	$0.165068$	$83521/39$	$0.94173$	$2.09187$	$[0, -1, 0, -96, 192]$	\(y^2=x^3-x^2-96x+192\)	156.2.0.?	$[(2, 2)]$
180336.ct1	180336r1	180336.ct	180336r	$1$	$1$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( 2^{12} \cdot 3 \cdot 13 \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$10.39202139$	$1$		$0$	$626688$	$1.581675$	$83521/39$	$0.94173$	$3.49647$	$[0, 1, 0, -27840, 776436]$	\(y^2=x^3+x^2-27840x+776436\)	156.2.0.?	$[(-3700/19, 7064454/19)]$
281775.bs1	281775bs1	281775.bs	281775bs	$1$	$1$	\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	\( 3 \cdot 5^{6} \cdot 13 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$5.879767764$	$1$		$0$	$80640$	$0.276639$	$83521/39$	$0.94173$	$2.12417$	$[1, 1, 0, -150, -375]$	\(y^2+xy=x^3+x^2-150x-375\)	156.2.0.?	$[(-256/5, 2487/5)]$
281775.bt1	281775bt1	281775.bt	281775bt	$1$	$1$	\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	\( 3 \cdot 5^{6} \cdot 13 \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$8.942772115$	$1$		$0$	$1370880$	$1.693247$	$83521/39$	$0.94173$	$3.47882$	$[1, 0, 1, -43501, -1538227]$	\(y^2+xy+y=x^3-43501x-1538227\)	156.2.0.?	$[(-233313/37, 53207971/37)]$
439569.s1	439569s1	439569.s	439569s	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{7} \cdot 13^{7} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$1.214097197$	$1$		$8$	$774144$	$1.303701$	$83521/39$	$0.94173$	$3.00000$	$[1, -1, 1, -9158, 150518]$	\(y^2+xy+y=x^3-x^2-9158x+150518\)	156.2.0.?	$[(114, 703), (-389/2, 3089/2)]$
439569.x1	439569x1	439569.x	439569x	$1$	$1$	\( 3^{2} \cdot 13^{2} \cdot 17^{2} \)	\( 3^{7} \cdot 13^{7} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$0.705043353$	$1$		$2$	$13160448$	$2.720306$	$83521/39$	$0.94173$	$4.30829$	$[1, -1, 1, -2646572, 728909952]$	\(y^2+xy+y=x^3-x^2-2646572x+728909952\)	156.2.0.?	$[(-939, 49310)]$