Elliptic curve search results

Results (12 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
5010.c1	5010d2	5010.c	5010d	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 167 \)	\( 2 \cdot 3^{7} \cdot 5^{8} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4008$	$12$	$0$	$0.651187226$	$1$		$6$	$21504$	$1.386526$	$1046819248735488409/47650971093750$	$0.96370$	$4.87045$	$[1, 0, 1, -21154, 1134902]$	\(y^2+xy+y=x^3-21154x+1134902\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[(28, 737)]$
15030.m1	15030o2	15030.m	15030o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2 \cdot 3^{13} \cdot 5^{8} \cdot 167^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1$	$1$		$0$	$172032$	$1.935833$	$1046819248735488409/47650971093750$	$0.96370$	$4.99947$	$[1, -1, 1, -190382, -30642361]$	\(y^2+xy+y=x^3-x^2-190382x-30642361\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[]$
25050.u1	25050o2	25050.u	25050o	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( 2 \cdot 3^{7} \cdot 5^{14} \cdot 167^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1$	$9$	$3$	$0$	$516096$	$2.191246$	$1046819248735488409/47650971093750$	$0.96370$	$5.04993$	$[1, 1, 1, -528838, 141862781]$	\(y^2+xy+y=x^3+x^2-528838x+141862781\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[]$
40080.j1	40080r2	40080.j	40080r	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 167 \)	\( 2^{13} \cdot 3^{7} \cdot 5^{8} \cdot 167^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1$	$1$		$1$	$516096$	$2.079674$	$1046819248735488409/47650971093750$	$0.96370$	$4.69967$	$[0, -1, 0, -338456, -72633744]$	\(y^2=x^3-x^2-338456x-72633744\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[]$
75150.x1	75150q2	75150.x	75150q	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( 2 \cdot 3^{13} \cdot 5^{14} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$7.231230808$	$1$		$0$	$4128768$	$2.740551$	$1046819248735488409/47650971093750$	$0.96370$	$5.14290$	$[1, -1, 0, -4759542, -3835054634]$	\(y^2+xy=x^3-x^2-4759542x-3835054634\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[(1381079/19, 1250470637/19)]$
120240.cs1	120240cs2	120240.cs	120240cs	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{13} \cdot 3^{13} \cdot 5^{8} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1.637896935$	$1$		$3$	$4128768$	$2.628979$	$1046819248735488409/47650971093750$	$0.96370$	$4.82180$	$[0, 0, 0, -3046107, 1964157194]$	\(y^2=x^3-3046107x+1964157194\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[(-662, 60750)]$
160320.r1	160320cb2	160320.r	160320cb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( 2^{19} \cdot 3^{7} \cdot 5^{8} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1.311723649$	$1$		$7$	$4128768$	$2.426247$	$1046819248735488409/47650971093750$	$0.96370$	$4.50307$	$[0, -1, 0, -1353825, 582423777]$	\(y^2=x^3-x^2-1353825x+582423777\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[(809, 4000)]$
160320.db1	160320l2	160320.db	160320l	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( 2^{19} \cdot 3^{7} \cdot 5^{8} \cdot 167^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1$	$1$		$1$	$4128768$	$2.426247$	$1046819248735488409/47650971093750$	$0.96370$	$4.50307$	$[0, 1, 0, -1353825, -582423777]$	\(y^2=x^3+x^2-1353825x-582423777\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[]$
200400.bl1	200400k2	200400.bl	200400k	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( 2^{13} \cdot 3^{7} \cdot 5^{14} \cdot 167^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1$	$1$		$1$	$12386304$	$2.884392$	$1046819248735488409/47650971093750$	$0.96370$	$4.87110$	$[0, 1, 0, -8461408, -9096140812]$	\(y^2=x^3+x^2-8461408x-9096140812\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[]$
245490.q1	245490q2	245490.q	245490q	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 167 \)	\( 2 \cdot 3^{7} \cdot 5^{8} \cdot 7^{6} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$5.212654412$	$1$		$0$	$6193152$	$2.359482$	$1046819248735488409/47650971093750$	$0.96370$	$4.28392$	$[1, 1, 0, -1036522, -390307994]$	\(y^2+xy=x^3+x^2-1036522x-390307994\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[(-2625/2, 25003/2)]$
480960.k1	480960k2	480960.k	480960k	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{19} \cdot 3^{13} \cdot 5^{8} \cdot 167^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1$	$1$		$1$	$33030144$	$2.975552$	$1046819248735488409/47650971093750$	$0.96370$	$4.62876$	$[0, 0, 0, -12184428, -15713257552]$	\(y^2=x^3-12184428x-15713257552\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[]$
480960.cz1	480960cz2	480960.cz	480960cz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{19} \cdot 3^{13} \cdot 5^{8} \cdot 167^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$1$	$4$	$2$	$1$	$33030144$	$2.975552$	$1046819248735488409/47650971093750$	$0.96370$	$4.62876$	$[0, 0, 0, -12184428, 15713257552]$	\(y^2=x^3-12184428x+15713257552\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[]$