Elliptic curve search results

Results (8 matches)

  Download displayed columns for results to

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
19118.c1	19118a1	19118.c	19118a	$1$	$1$	\( 2 \cdot 11^{2} \cdot 79 \)	\( - 2^{7} \cdot 11^{4} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$632$	$2$	$0$	$1$	$1$		$0$	$6720$	$0.247937$	$408375/10112$	$1.02912$	$2.66211$	$[1, -1, 0, 38, -588]$	\(y^2+xy=x^3-x^2+38x-588\)	632.2.0.?	$[ ]$
19118.g1	19118h1	19118.g	19118h	$1$	$1$	\( 2 \cdot 11^{2} \cdot 79 \)	\( - 2^{7} \cdot 11^{10} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$632$	$2$	$0$	$1$	$1$		$0$	$73920$	$1.446884$	$408375/10112$	$1.02912$	$4.12152$	$[1, -1, 1, 4575, 768881]$	\(y^2+xy+y=x^3-x^2+4575x+768881\)	632.2.0.?	$[ ]$
152944.l1	152944j1	152944.l	152944j	$1$	$1$	\( 2^{4} \cdot 11^{2} \cdot 79 \)	\( - 2^{19} \cdot 11^{10} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$632$	$2$	$0$	$5.002041723$	$1$		$2$	$1774080$	$2.140030$	$408375/10112$	$1.02912$	$4.10035$	$[0, 0, 0, 73205, -49281606]$	\(y^2=x^3+73205x-49281606\)	632.2.0.?	$[(1765, 74688)]$
152944.m1	152944k1	152944.m	152944k	$1$	$1$	\( 2^{4} \cdot 11^{2} \cdot 79 \)	\( - 2^{19} \cdot 11^{4} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$632$	$2$	$0$	$1$	$1$		$0$	$161280$	$0.941084$	$408375/10112$	$1.02912$	$2.89516$	$[0, 0, 0, 605, 37026]$	\(y^2=x^3+605x+37026\)	632.2.0.?	$[ ]$
172062.m1	172062bf1	172062.m	172062bf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 79 \)	\( - 2^{7} \cdot 3^{6} \cdot 11^{10} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$632$	$2$	$0$	$1$	$4$	$2$	$0$	$2365440$	$1.996191$	$408375/10112$	$1.02912$	$3.91711$	$[1, -1, 0, 41178, -20800972]$	\(y^2+xy=x^3-x^2+41178x-20800972\)	632.2.0.?	$[ ]$
172062.bi1	172062h1	172062.bi	172062h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 79 \)	\( - 2^{7} \cdot 3^{6} \cdot 11^{4} \cdot 79 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$632$	$2$	$0$	$0.284309145$	$1$		$20$	$215040$	$0.797243$	$408375/10112$	$1.02912$	$2.72369$	$[1, -1, 1, 340, 15535]$	\(y^2+xy+y=x^3-x^2+340x+15535\)	632.2.0.?	$[(25, 185), (157, 1901)]$
477950.u1	477950u1	477950.u	477950u	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 79 \)	\( - 2^{7} \cdot 5^{6} \cdot 11^{10} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$632$	$2$	$0$	$15.65351272$	$1$		$0$	$10644480$	$2.251602$	$408375/10112$	$1.02912$	$3.84546$	$[1, -1, 0, 114383, 96224541]$	\(y^2+xy=x^3-x^2+114383x+96224541\)	632.2.0.?	$[(29874759/71, 162521373468/71)]$
477950.ct1	477950ct1	477950.ct	477950ct	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 79 \)	\( - 2^{7} \cdot 5^{6} \cdot 11^{4} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$632$	$2$	$0$	$1.659985517$	$1$		$2$	$967680$	$1.052656$	$408375/10112$	$1.02912$	$2.74528$	$[1, -1, 1, 945, -72553]$	\(y^2+xy+y=x^3-x^2+945x-72553\)	632.2.0.?	$[(39, 130)]$

  Download displayed columns for results to