Elliptic curve search results

Results (8 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
10002.a2	10002c2	10002.a	10002c	$2$	$2$	\( 2 \cdot 3 \cdot 1667 \)	\( - 2^{3} \cdot 3^{2} \cdot 1667^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.5	2B	$40008$	$12$	$0$	$1$	$1$		$0$	$3072$	$0.275766$	$-25750777177/200080008$	$0.87285$	$2.89242$	$[1, 1, 0, -61, -731]$	\(y^2+xy=x^3+x^2-61x-731\)	2.3.0.a.1, 8.6.0.a.1, 20004.6.0.?, 40008.12.0.?	$[]$
30006.e2	30006d2	30006.e	30006d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 1667 \)	\( - 2^{3} \cdot 3^{8} \cdot 1667^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$40008$	$12$	$0$	$1.679091894$	$1$		$2$	$24576$	$0.825072$	$-25750777177/200080008$	$0.87285$	$3.22359$	$[1, -1, 1, -554, 19185]$	\(y^2+xy+y=x^3-x^2-554x+19185\)	2.3.0.a.1, 8.6.0.a.1, 20004.6.0.?, 40008.12.0.?	$[(23, 123)]$
80016.d2	80016c2	80016.d	80016c	$2$	$2$	\( 2^{4} \cdot 3 \cdot 1667 \)	\( - 2^{15} \cdot 3^{2} \cdot 1667^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$40008$	$12$	$0$	$2.355014719$	$1$		$3$	$73728$	$0.968914$	$-25750777177/200080008$	$0.87285$	$3.09642$	$[0, 1, 0, -984, 44820]$	\(y^2=x^3+x^2-984x+44820\)	2.3.0.a.1, 8.6.0.a.1, 20004.6.0.?, 40008.12.0.?	$[(102, 1008)]$
240048.g2	240048g2	240048.g	240048g	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 1667 \)	\( - 2^{15} \cdot 3^{8} \cdot 1667^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$40008$	$12$	$0$	$1$	$1$		$1$	$589824$	$1.518219$	$-25750777177/200080008$	$0.87285$	$3.35391$	$[0, 0, 0, -8859, -1218998]$	\(y^2=x^3-8859x-1218998\)	2.3.0.a.1, 8.6.0.a.1, 20004.6.0.?, 40008.12.0.?	$[]$
250050.bt2	250050bt2	250050.bt	250050bt	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 1667 \)	\( - 2^{3} \cdot 3^{2} \cdot 5^{6} \cdot 1667^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$40008$	$12$	$0$	$9.022803384$	$1$		$0$	$393216$	$1.080486$	$-25750777177/200080008$	$0.87285$	$2.92028$	$[1, 0, 0, -1538, -88308]$	\(y^2+xy=x^3-1538x-88308\)	2.3.0.a.1, 8.6.0.a.1, 20004.6.0.?, 40008.12.0.?	$[(63322/9, 15630326/9)]$
320064.e2	320064e2	320064.e	320064e	$2$	$2$	\( 2^{6} \cdot 3 \cdot 1667 \)	\( - 2^{21} \cdot 3^{2} \cdot 1667^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$40008$	$12$	$0$	$4.765635762$	$1$		$1$	$589824$	$1.315487$	$-25750777177/200080008$	$0.87285$	$3.08588$	$[0, -1, 0, -3937, 362497]$	\(y^2=x^3-x^2-3937x+362497\)	2.3.0.a.1, 8.6.0.a.1, 20004.6.0.?, 40008.12.0.?	$[(421/5, 68544/5)]$
320064.m2	320064m2	320064.m	320064m	$2$	$2$	\( 2^{6} \cdot 3 \cdot 1667 \)	\( - 2^{21} \cdot 3^{2} \cdot 1667^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$40008$	$12$	$0$	$1$	$9$	$3$	$1$	$589824$	$1.315487$	$-25750777177/200080008$	$0.87285$	$3.08588$	$[0, 1, 0, -3937, -362497]$	\(y^2=x^3+x^2-3937x-362497\)	2.3.0.a.1, 8.6.0.a.1, 20004.6.0.?, 40008.12.0.?	$[]$
490098.o2	490098o2	490098.o	490098o	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 1667 \)	\( - 2^{3} \cdot 3^{2} \cdot 7^{6} \cdot 1667^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$40008$	$12$	$0$	$1$	$1$		$0$	$1105920$	$1.248722$	$-25750777177/200080008$	$0.87285$	$2.92438$	$[1, 0, 1, -3015, 241714]$	\(y^2+xy+y=x^3-3015x+241714\)	2.3.0.a.1, 8.6.0.a.1, 20004.6.0.?, 40008.12.0.?	$[]$