Elliptic curve search results

Results (18 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
10830.l2	10830j1	10830.l	10830j	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5 \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$1$		$1$	$72960$	$1.712645$	$-186169411/6480$	$0.91957$	$4.90852$	$[1, 0, 1, -81594, 9229852]$	\(y^2+xy+y=x^3-81594x+9229852\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[]$
10830.t2	10830q1	10830.t	10830q	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5 \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$1$		$1$	$3840$	$0.240426$	$-186169411/6480$	$0.91957$	$3.00685$	$[1, 1, 1, -226, -1441]$	\(y^2+xy+y=x^3+x^2-226x-1441\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[]$
32490.w2	32490q1	32490.w	32490q	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5 \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1.034524650$	$1$		$7$	$30720$	$0.789732$	$-186169411/6480$	$0.91957$	$3.32338$	$[1, -1, 0, -2034, 36868]$	\(y^2+xy=x^3-x^2-2034x+36868\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[(29, 26)]$
32490.by2	32490br1	32490.by	32490br	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5 \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$9$	$3$	$1$	$583680$	$2.261951$	$-186169411/6480$	$0.91957$	$5.02395$	$[1, -1, 1, -734342, -249206011]$	\(y^2+xy+y=x^3-x^2-734342x-249206011\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[]$
54150.v2	54150q1	54150.v	54150q	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.045145$	$-186169411/6480$	$0.91957$	$3.44883$	$[1, 0, 1, -5651, -168802]$	\(y^2+xy+y=x^3-5651x-168802\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[]$
54150.br2	54150bo1	54150.br	54150bo	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$1$		$1$	$1751040$	$2.517365$	$-186169411/6480$	$0.91957$	$5.06969$	$[1, 1, 1, -2039838, 1153731531]$	\(y^2+xy+y=x^3+x^2-2039838x+1153731531\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[]$
86640.d2	86640bq1	86640.d	86640bq	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{16} \cdot 3^{4} \cdot 5 \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$1$		$1$	$1751040$	$2.405792$	$-186169411/6480$	$0.91957$	$4.74236$	$[0, -1, 0, -1305496, -590710544]$	\(y^2=x^3-x^2-1305496x-590710544\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[]$
86640.ch2	86640cy1	86640.ch	86640cy	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{16} \cdot 3^{4} \cdot 5 \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$0.700582022$	$1$		$7$	$92160$	$0.933573$	$-186169411/6480$	$0.91957$	$3.18850$	$[0, 1, 0, -3616, 84980]$	\(y^2=x^3+x^2-3616x+84980\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[(26, 96)]$
162450.l2	162450dj1	162450.l	162450dj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{7} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$1$		$1$	$14008320$	$3.066669$	$-186169411/6480$	$0.91957$	$5.15487$	$[1, -1, 0, -18358542, -31169109884]$	\(y^2+xy=x^3-x^2-18358542x-31169109884\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[]$
162450.dd2	162450v1	162450.dd	162450v	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{7} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$0.627163876$	$1$		$7$	$737280$	$1.594452$	$-186169411/6480$	$0.91957$	$3.68242$	$[1, -1, 1, -50855, 4557647]$	\(y^2+xy+y=x^3-x^2-50855x+4557647\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[(9, 2020)]$
259920.ep2	259920ep1	259920.ep	259920ep	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{16} \cdot 3^{10} \cdot 5 \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$1$		$1$	$737280$	$1.482880$	$-186169411/6480$	$0.91957$	$3.43623$	$[0, 0, 0, -32547, -2327006]$	\(y^2=x^3-32547x-2327006\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[]$
259920.er2	259920er1	259920.er	259920er	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{16} \cdot 3^{10} \cdot 5 \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$4$	$2$	$1$	$14008320$	$2.955097$	$-186169411/6480$	$0.91957$	$4.85317$	$[0, 0, 0, -11749467, 15960934154]$	\(y^2=x^3-11749467x+15960934154\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[]$
346560.dr2	346560dr1	346560.dr	346560dr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{22} \cdot 3^{4} \cdot 5 \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1.945625744$	$1$		$5$	$737280$	$1.280148$	$-186169411/6480$	$0.91957$	$3.16801$	$[0, -1, 0, -14465, 694305]$	\(y^2=x^3-x^2-14465x+694305\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[(32, 513)]$
346560.ev2	346560ev1	346560.ev	346560ev	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{22} \cdot 3^{4} \cdot 5 \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$1$		$1$	$14008320$	$2.752365$	$-186169411/6480$	$0.91957$	$4.55300$	$[0, -1, 0, -5221985, 4730906337]$	\(y^2=x^3-x^2-5221985x+4730906337\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[]$
346560.je2	346560je1	346560.je	346560je	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{22} \cdot 3^{4} \cdot 5 \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$1$		$1$	$14008320$	$2.752365$	$-186169411/6480$	$0.91957$	$4.55300$	$[0, 1, 0, -5221985, -4730906337]$	\(y^2=x^3+x^2-5221985x-4730906337\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[]$
346560.ko2	346560ko1	346560.ko	346560ko	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{22} \cdot 3^{4} \cdot 5 \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$7.640818913$	$1$		$3$	$737280$	$1.280148$	$-186169411/6480$	$0.91957$	$3.16801$	$[0, 1, 0, -14465, -694305]$	\(y^2=x^3+x^2-14465x-694305\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[(41293, 8391084)]$
433200.eg2	433200eg1	433200.eg	433200eg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{16} \cdot 3^{4} \cdot 5^{7} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1$	$1$		$1$	$2211840$	$1.738293$	$-186169411/6480$	$0.91957$	$3.53713$	$[0, -1, 0, -90408, 10803312]$	\(y^2=x^3-x^2-90408x+10803312\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[]$
433200.jp2	433200jp1	433200.jp	433200jp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{16} \cdot 3^{4} \cdot 5^{7} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$24.73015129$	$1$		$1$	$42024960$	$3.210510$	$-186169411/6480$	$0.91957$	$4.89831$	$[0, 1, 0, -32637408, -73904092812]$	\(y^2=x^3+x^2-32637408x-73904092812\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.?	$[(944014903002/4201, 911748529413389472/4201)]$