Elliptic curve search results

Results (6 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
37191.f1	37191c1	37191.f	37191c	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 3^{9} \cdot 7^{3} \cdot 11 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$1$	$1$		$0$	$27648$	$0.698764$	$-5862183923791/4979799$	$0.89641$	$3.34847$	$[1, 1, 0, -2629, 50842]$	\(y^2+xy=x^3+x^2-2629x+50842\)	21252.2.0.?	$[]$
37191.g1	37191h1	37191.g	37191h	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 3^{9} \cdot 7^{9} \cdot 11 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$2.614427927$	$1$		$2$	$193536$	$1.671719$	$-5862183923791/4979799$	$0.89641$	$4.45791$	$[1, 0, 1, -128847, -17825321]$	\(y^2+xy+y=x^3-128847x-17825321\)	21252.2.0.?	$[(2699, 137565)]$
111573.k1	111573w1	111573.k	111573w	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 3^{15} \cdot 7^{3} \cdot 11 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$2.041111327$	$1$		$2$	$221184$	$1.248070$	$-5862183923791/4979799$	$0.89641$	$3.59911$	$[1, -1, 1, -23666, -1396398]$	\(y^2+xy+y=x^3-x^2-23666x-1396398\)	21252.2.0.?	$[(185, 636)]$
111573.q1	111573v1	111573.q	111573v	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 3^{15} \cdot 7^{9} \cdot 11 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$3.144555865$	$1$		$2$	$1548288$	$2.221024$	$-5862183923791/4979799$	$0.89641$	$4.60367$	$[1, -1, 1, -1159619, 481283660]$	\(y^2+xy+y=x^3-x^2-1159619x+481283660\)	21252.2.0.?	$[(478, 5763)]$
409101.i1	409101i1	409101.i	409101i	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \)	\( - 3^{9} \cdot 7^{3} \cdot 11^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$1$	$1$		$0$	$3317760$	$1.897711$	$-5862183923791/4979799$	$0.89641$	$3.84052$	$[1, 1, 1, -318172, -69261466]$	\(y^2+xy+y=x^3+x^2-318172x-69261466\)	21252.2.0.?	$[]$
409101.m1	409101m1	409101.m	409101m	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \)	\( - 3^{9} \cdot 7^{9} \cdot 11^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$21252$	$2$	$0$	$0.511891099$	$1$		$4$	$23224320$	$2.870667$	$-5862183923791/4979799$	$0.89641$	$4.74407$	$[1, 0, 0, -15590429, 23709911490]$	\(y^2+xy=x^3-15590429x+23709911490\)	21252.2.0.?	$[(4267, 184630)]$