Elliptic curve search results

Results (5 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
46410.o1	46410o2	46410.o	46410o	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$92820$	$12$	$0$	$0.541854454$	$1$		$8$	$86016$	$0.978737$	$6497434355239801/405606692400$	$0.88740$	$3.38848$	$[1, 1, 0, -3887, -89739]$	\(y^2+xy=x^3+x^2-3887x-89739\)	2.3.0.a.1, 204.6.0.?, 1820.6.0.?, 92820.12.0.?	$[(-38, 89)]$
139230.dh1	139230be2	139230.dh	139230be	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$92820$	$12$	$0$	$0.228145352$	$1$		$12$	$688128$	$1.528042$	$6497434355239801/405606692400$	$0.88740$	$3.63072$	$[1, -1, 1, -34988, 2387967]$	\(y^2+xy+y=x^3-x^2-34988x+2387967\)	2.3.0.a.1, 204.6.0.?, 1820.6.0.?, 92820.12.0.?	$[(155, 741)]$
232050.ge1	232050ge2	232050.ge	232050ge	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5^{8} \cdot 7^{6} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$92820$	$12$	$0$	$3.357245801$	$1$		$2$	$2064384$	$1.783455$	$6497434355239801/405606692400$	$0.88740$	$3.72868$	$[1, 0, 0, -97188, -11023008]$	\(y^2+xy=x^3-97188x-11023008\)	2.3.0.a.1, 204.6.0.?, 1820.6.0.?, 92820.12.0.?	$[(362, 944)]$
324870.bu1	324870bu2	324870.bu	324870bu	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{12} \cdot 13^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$92820$	$12$	$0$	$2.365030436$	$1$		$2$	$4128768$	$1.951693$	$6497434355239801/405606692400$	$0.88740$	$3.78890$	$[1, 0, 1, -190489, 30209036]$	\(y^2+xy+y=x^3-190489x+30209036\)	2.3.0.a.1, 204.6.0.?, 1820.6.0.?, 92820.12.0.?	$[(123, 2878)]$
371280.fp1	371280fp2	371280.fp	371280fp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \)	\( 2^{16} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$92820$	$12$	$0$	$1$	$1$		$1$	$2064384$	$1.671885$	$6497434355239801/405606692400$	$0.88740$	$3.48764$	$[0, 1, 0, -62200, 5618900]$	\(y^2=x^3+x^2-62200x+5618900\)	2.3.0.a.1, 204.6.0.?, 1820.6.0.?, 92820.12.0.?	$[]$