Elliptic curve search results

Results (10 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
16830.a2	16830d2	16830.a	16830d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 11^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$5.164851666$	$1$		$4$	$307200$	$2.151466$	$-40509209135606968827/37479578548445000$	$1.02436$	$5.07649$	$[1, -1, 0, -214650, -61652500]$	\(y^2+xy=x^3-x^2-214650x-61652500\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[(575, 1900)]$
16830.by2	16830bv2	16830.by	16830bv	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{4} \cdot 11^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$0.396372346$	$1$		$8$	$921600$	$2.700775$	$-40509209135606968827/37479578548445000$	$1.02436$	$5.75389$	$[1, -1, 1, -1931852, 1666549351]$	\(y^2+xy+y=x^3-x^2-1931852x+1666549351\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[(-949, 51899)]$
84150.dq2	84150n2	84150.dq	84150n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{10} \cdot 11^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$0$	$22118400$	$3.505493$	$-40509209135606968827/37479578548445000$	$1.02436$	$5.78882$	$[1, -1, 0, -48296292, 208270372616]$	\(y^2+xy=x^3-x^2-48296292x+208270372616\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[]$
84150.gx2	84150ea2	84150.gx	84150ea	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{10} \cdot 11^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$11.30617554$	$1$		$0$	$7372800$	$2.956188$	$-40509209135606968827/37479578548445000$	$1.02436$	$5.20756$	$[1, -1, 1, -5366255, -7711928753]$	\(y^2+xy+y=x^3-x^2-5366255x-7711928753\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[(495521/5, 345003416/5)]$
134640.cj2	134640ec2	134640.cj	134640ec	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{4} \cdot 11^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1.528970340$	$1$		$5$	$7372800$	$2.844616$	$-40509209135606968827/37479578548445000$	$1.02436$	$4.88696$	$[0, 0, 0, -3434403, 3949194402]$	\(y^2=x^3-3434403x+3949194402\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[(751, 42350)]$
134640.fm2	134640dh2	134640.fm	134640dh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{4} \cdot 11^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$22118400$	$3.393921$	$-40509209135606968827/37479578548445000$	$1.02436$	$5.44508$	$[0, 0, 0, -30909627, -106628248854]$	\(y^2=x^3-30909627x-106628248854\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[]$
185130.cy2	185130fg2	185130.cy	185130fg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{4} \cdot 11^{16} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$26.91961937$	$1$		$0$	$110592000$	$3.899723$	$-40509209135606968827/37479578548445000$	$1.02436$	$5.80254$	$[1, -1, 0, -233754054, -2217475924372]$	\(y^2+xy=x^3-x^2-233754054x-2217475924372\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[(19436323606771/29543, 48774113256811118255/29543)]$
185130.ei2	185130cp2	185130.ei	185130cp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 11^{16} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$4$	$2$	$0$	$36864000$	$3.350414$	$-40509209135606968827/37479578548445000$	$1.02436$	$5.25907$	$[1, -1, 1, -25972673, 82137395497]$	\(y^2+xy+y=x^3-x^2-25972673x+82137395497\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[]$
286110.dk2	286110dk2	286110.dk	286110dk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 11^{10} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$7.541525076$	$1$		$0$	$88473600$	$3.568073$	$-40509209135606968827/37479578548445000$	$1.02436$	$5.28474$	$[1, -1, 0, -62033904, -303146868040]$	\(y^2+xy=x^3-x^2-62033904x-303146868040\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[(121159/2, 40361591/2)]$
286110.ff2	286110ff2	286110.ff	286110ff	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{4} \cdot 11^{10} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$4$	$2$	$0$	$265420800$	$4.117378$	$-40509209135606968827/37479578548445000$	$1.02436$	$5.80939$	$[1, -1, 1, -558305138, 8185523742217]$	\(y^2+xy+y=x^3-x^2-558305138x+8185523742217\)	2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[]$