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
39270.bg5	39270bh2	39270.bg	39270bh	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 11^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.6.0.1, 3.8.0.1	2Cs, 3B.1.1	$15708$	$384$	$5$	$1$	$1$		$10$	$2654208$	$2.822517$	$122884692280581205924284889/439106354595306090000$	$0.99072$	$5.67896$	$[1, 0, 1, -10357574, 12789715016]$	\(y^2+xy+y=x^3-10357574x+12789715016\)	2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 12.96.0-12.a.2.13, 28.12.0-2.a.1.1, $\ldots$	$[]$
117810.ei5	117810el2	117810.ei	117810el	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{4} \cdot 7^{6} \cdot 11^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.8.0.2	2Cs, 3B.1.2	$15708$	$384$	$5$	$1$	$1$		$2$	$21233664$	$3.371822$	$122884692280581205924284889/439106354595306090000$	$0.99072$	$5.70917$	$[1, -1, 1, -93218162, -345322305439]$	\(y^2+xy+y=x^3-x^2-93218162x-345322305439\)	2.6.0.a.1, 3.8.0-3.a.1.1, 4.12.0-2.a.1.1, 6.48.0-6.a.1.2, 12.96.0-12.a.2.15, $\ldots$	$[]$
196350.dv5	196350cv2	196350.dv	196350cv	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 7^{6} \cdot 11^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$78540$	$384$	$5$	$1$	$1$		$2$	$63700992$	$3.627235$	$122884692280581205924284889/439106354595306090000$	$0.99072$	$5.72136$	$[1, 1, 1, -258939338, 1598714377031]$	\(y^2+xy+y=x^3+x^2-258939338x+1598714377031\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 15.8.0-3.a.1.2, $\ldots$	$[]$
274890.bj5	274890bj2	274890.bj	274890bj	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7^{12} \cdot 11^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$15708$	$384$	$5$	$3.554349249$	$1$		$8$	$127401984$	$3.795475$	$122884692280581205924284889/439106354595306090000$	$0.99072$	$5.72884$	$[1, 1, 0, -507521102, -4387379771676]$	\(y^2+xy=x^3+x^2-507521102x-4387379771676\)	2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.2.1, $\ldots$	$[(-12552, 81246)]$
314160.o5	314160o2	314160.o	314160o	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 11^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$15708$	$384$	$5$	$1$	$4$	$2$	$3$	$63700992$	$3.515667$	$122884692280581205924284889/439106354595306090000$	$0.99072$	$5.40314$	$[0, -1, 0, -165721176, -818541761040]$	\(y^2=x^3-x^2-165721176x-818541761040\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.2.7, 28.12.0-2.a.1.1, $\ldots$	$[]$
431970.gf5	431970gf2	431970.gf	431970gf	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 11^{12} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$15708$	$384$	$5$	$11.54092215$	$1$		$2$	$318504960$	$4.021469$	$122884692280581205924284889/439106354595306090000$	$0.99072$	$5.73829$	$[1, 0, 0, -1253266396, -17024363953024]$	\(y^2+xy=x^3-1253266396x-17024363953024\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 33.8.0-3.a.1.2, $\ldots$	$[(-1663874/9, 173979208/9)]$