Elliptic curve search results

Results (14 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
43680.c2	43680bb1	43680.c	43680bb	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{6} \cdot 3^{10} \cdot 5 \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$69120$	$0.992306$	$3244421190464/17114466915$	$0.93239$	$3.28140$	$[0, -1, 0, 1234, 47100]$	\(y^2=x^3-x^2+1234x+47100\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[]$
43680.bs2	43680p1	43680.bs	43680p	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{6} \cdot 3^{10} \cdot 5 \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$0.598328965$	$1$		$7$	$69120$	$0.992306$	$3244421190464/17114466915$	$0.93239$	$3.28140$	$[0, 1, 0, 1234, -47100]$	\(y^2=x^3+x^2+1234x-47100\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[(64, 546)]$
87360.cw2	87360bt2	87360.cw	87360bt	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 3^{10} \cdot 5 \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$276480$	$1.338879$	$3244421190464/17114466915$	$0.93239$	$3.44702$	$[0, -1, 0, 4935, -381735]$	\(y^2=x^3-x^2+4935x-381735\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[]$
87360.gl2	87360dc2	87360.gl	87360dc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 3^{10} \cdot 5 \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$276480$	$1.338879$	$3244421190464/17114466915$	$0.93239$	$3.44702$	$[0, 1, 0, 4935, 381735]$	\(y^2=x^3+x^2+4935x+381735\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[]$
131040.dc2	131040cn1	131040.dc	131040cn	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{6} \cdot 3^{16} \cdot 5 \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$7.287099696$	$1$		$1$	$552960$	$1.541611$	$3244421190464/17114466915$	$0.93239$	$3.53487$	$[0, 0, 0, 11103, -1282804]$	\(y^2=x^3+11103x-1282804\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[(1309/3, 49850/3)]$
131040.dn2	131040a1	131040.dn	131040a	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{6} \cdot 3^{16} \cdot 5 \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.650687850$	$1$		$3$	$552960$	$1.541611$	$3244421190464/17114466915$	$0.93239$	$3.53487$	$[0, 0, 0, 11103, 1282804]$	\(y^2=x^3+11103x+1282804\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[(80, 1638)]$
218400.y2	218400cf1	218400.y	218400cf	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{6} \cdot 3^{10} \cdot 5^{7} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$3.778015758$	$1$		$3$	$1658880$	$1.797024$	$3244421190464/17114466915$	$0.93239$	$3.63730$	$[0, -1, 0, 30842, -5949188]$	\(y^2=x^3-x^2+30842x-5949188\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[(4987, 352350)]$
218400.ep2	218400cz1	218400.ep	218400cz	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{6} \cdot 3^{10} \cdot 5^{7} \cdot 7^{3} \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$0.496814547$	$1$		$29$	$1658880$	$1.797024$	$3244421190464/17114466915$	$0.93239$	$3.63730$	$[0, 1, 0, 30842, 5949188]$	\(y^2=x^3+x^2+30842x+5949188\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[(413, 9450), (98, 3150)]$
262080.k2	262080k2	262080.k	262080k	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 3^{16} \cdot 5 \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$4.857118363$	$1$		$3$	$2211840$	$1.888186$	$3244421190464/17114466915$	$0.93239$	$3.67182$	$[0, 0, 0, 44412, -10262432]$	\(y^2=x^3+44412x-10262432\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[(2648, 136656)]$
262080.gl2	262080gl2	262080.gl	262080gl	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 3^{16} \cdot 5 \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$2211840$	$1.888186$	$3244421190464/17114466915$	$0.93239$	$3.67182$	$[0, 0, 0, 44412, 10262432]$	\(y^2=x^3+44412x+10262432\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[]$
305760.dl2	305760dl1	305760.dl	305760dl	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{10} \cdot 5 \cdot 7^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$3317760$	$1.965260$	$3244421190464/17114466915$	$0.93239$	$3.70024$	$[0, -1, 0, 60450, 16276212]$	\(y^2=x^3-x^2+60450x+16276212\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[]$
305760.gd2	305760gd1	305760.gd	305760gd	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{10} \cdot 5 \cdot 7^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$3317760$	$1.965260$	$3244421190464/17114466915$	$0.93239$	$3.70024$	$[0, 1, 0, 60450, -16276212]$	\(y^2=x^3+x^2+60450x-16276212\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[]$
436800.ji2	436800ji2	436800.ji	436800ji	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{7} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$6635520$	$2.143597$	$3244421190464/17114466915$	$0.93239$	$3.76340$	$[0, -1, 0, 123367, 47470137]$	\(y^2=x^3-x^2+123367x+47470137\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[]$
436800.kw2	436800kw2	436800.kw	436800kw	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{7} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$6635520$	$2.143597$	$3244421190464/17114466915$	$0.93239$	$3.76340$	$[0, 1, 0, 123367, -47470137]$	\(y^2=x^3+x^2+123367x-47470137\)	2.3.0.a.1, 70.6.0.a.1, 156.6.0.?, 5460.12.0.?	$[]$