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
75810.h1	75810k1	75810.h	75810k	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{29} \cdot 3^{9} \cdot 5 \cdot 7^{5} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$48859200$	$3.840923$	$-334669406963386806593721825931/888017186570895360$	$1.07107$	$6.83663$	$[1, 1, 0, -2748217083, 55451806468317]$	\(y^2+xy=x^3+x^2-2748217083x+55451806468317\)	15960.2.0.?	$[]$
75810.da1	75810de1	75810.da	75810de	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{29} \cdot 3^{9} \cdot 5 \cdot 7^{5} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$928324800$	$5.313141$	$-334669406963386806593721825931/888017186570895360$	$1.07107$	$8.40895$	$[1, 0, 0, -992106367151, -380351877417123015]$	\(y^2+xy=x^3-992106367151x-380351877417123015\)	15960.2.0.?	$[]$
227430.de1	227430dt1	227430.de	227430dt	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{29} \cdot 3^{15} \cdot 5 \cdot 7^{5} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$9$	$3$	$0$	$7426598400$	$5.862450$	$-334669406963386806593721825931/888017186570895360$	$1.07107$	$8.19439$	$[1, -1, 0, -8928957304359, 10269500690262321405]$	\(y^2+xy=x^3-x^2-8928957304359x+10269500690262321405\)	15960.2.0.?	$[]$
227430.ge1	227430n1	227430.ge	227430n	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{29} \cdot 3^{15} \cdot 5 \cdot 7^{5} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$2.035734809$	$1$		$2$	$390873600$	$4.390228$	$-334669406963386806593721825931/888017186570895360$	$1.07107$	$6.76211$	$[1, -1, 1, -24733953752, -1497223508598309]$	\(y^2+xy+y=x^3-x^2-24733953752x-1497223508598309\)	15960.2.0.?	$[(221165, 61941897)]$
379050.a1	379050a1	379050.a	379050a	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{29} \cdot 3^{9} \cdot 5^{7} \cdot 7^{5} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$109.1418754$	$1$		$0$	$22279795200$	$6.117867$	$-334669406963386806593721825931/888017186570895360$	$1.07107$	$8.10713$	$[1, 1, 0, -24802659178775, -47543984677140376875]$	\(y^2+xy=x^3+x^2-24802659178775x-47543984677140376875\)	15960.2.0.?	$[(155400030713232423893736966702680096853744102675985/114899329517088144648, 1937200668006311399959255022884450262042490754302666527862776966197162220285/114899329517088144648)]$
379050.hx1	379050hx1	379050.hx	379050hx	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{29} \cdot 3^{9} \cdot 5^{7} \cdot 7^{5} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$0.155892243$	$1$		$12$	$1172620800$	$4.645645$	$-334669406963386806593721825931/888017186570895360$	$1.07107$	$6.73180$	$[1, 0, 0, -68705427088, 6931613219393792]$	\(y^2+xy=x^3-68705427088x+6931613219393792\)	15960.2.0.?	$[(151232, -7216)]$