Elliptic curve search results

Results (12 matches)

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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
37920.d2	37920i1	37920.d	37920i	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 79 \)	\( - 2^{6} \cdot 3 \cdot 5^{2} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.123280$	$690807104/468075$	$0.83051$	$2.32493$	$[0, -1, 0, 74, 76]$	\(y^2=x^3-x^2+74x+76\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[ ]$
37920.n2	37920g1	37920.n	37920g	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 79 \)	\( - 2^{6} \cdot 3 \cdot 5^{2} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$2.415025179$	$1$		$5$	$9216$	$0.123280$	$690807104/468075$	$0.83051$	$2.32493$	$[0, 1, 0, 74, -76]$	\(y^2=x^3+x^2+74x-76\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(10, 42)]$
75840.ba2	75840m2	75840.ba	75840m	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 79 \)	\( - 2^{12} \cdot 3 \cdot 5^{2} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$3.866095156$	$1$		$1$	$36864$	$0.469853$	$690807104/468075$	$0.83051$	$2.55163$	$[0, -1, 0, 295, -903]$	\(y^2=x^3-x^2+295x-903\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(61/2, 665/2)]$
75840.cj2	75840bb2	75840.cj	75840bb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 79 \)	\( - 2^{12} \cdot 3 \cdot 5^{2} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$3.984312973$	$1$		$1$	$36864$	$0.469853$	$690807104/468075$	$0.83051$	$2.55163$	$[0, 1, 0, 295, 903]$	\(y^2=x^3+x^2+295x+903\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(69/2, 855/2)]$
113760.bc2	113760p1	113760.bc	113760p	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{2} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1.236217402$	$1$		$5$	$73728$	$0.672585$	$690807104/468075$	$0.83051$	$2.67173$	$[0, 0, 0, 663, -2716]$	\(y^2=x^3+663x-2716\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(13, 90)]$
113760.bd2	113760bm1	113760.bd	113760bm	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{2} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$2.794454548$	$1$		$3$	$73728$	$0.672585$	$690807104/468075$	$0.83051$	$2.67173$	$[0, 0, 0, 663, 2716]$	\(y^2=x^3+663x+2716\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(312, 5530)]$
189600.i2	189600s1	189600.i	189600s	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( - 2^{6} \cdot 3 \cdot 5^{8} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$3.655007351$	$1$		$3$	$221184$	$0.927999$	$690807104/468075$	$0.83051$	$2.81164$	$[0, -1, 0, 1842, -13188]$	\(y^2=x^3-x^2+1842x-13188\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(323, 5846)]$
189600.bv2	189600bk1	189600.bv	189600bk	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( - 2^{6} \cdot 3 \cdot 5^{8} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1$	$4$	$2$	$1$	$221184$	$0.927999$	$690807104/468075$	$0.83051$	$2.81164$	$[0, 1, 0, 1842, 13188]$	\(y^2=x^3+x^2+1842x+13188\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[ ]$
227520.be2	227520ec2	227520.be	227520ec	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{2} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1.186890397$	$1$		$5$	$294912$	$1.019159$	$690807104/468075$	$0.83051$	$2.85876$	$[0, 0, 0, 2652, 21728]$	\(y^2=x^3+2652x+21728\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(4, 180)]$
227520.bn2	227520ee2	227520.bn	227520ee	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{2} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$1$	$1$		$1$	$294912$	$1.019159$	$690807104/468075$	$0.83051$	$2.85876$	$[0, 0, 0, 2652, -21728]$	\(y^2=x^3+2652x-21728\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[ ]$
379200.cj2	379200cj2	379200.cj	379200cj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( - 2^{12} \cdot 3 \cdot 5^{8} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$6.036699085$	$1$		$1$	$884736$	$1.274572$	$690807104/468075$	$0.83051$	$2.98368$	$[0, -1, 0, 7367, 98137]$	\(y^2=x^3-x^2+7367x+98137\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(1017/4, 57925/4)]$
379200.gv2	379200gv2	379200.gv	379200gv	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 79 \)	\( - 2^{12} \cdot 3 \cdot 5^{8} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$948$	$12$	$0$	$17.30515189$	$1$		$1$	$884736$	$1.274572$	$690807104/468075$	$0.83051$	$2.98368$	$[0, 1, 0, 7367, -98137]$	\(y^2=x^3+x^2+7367x-98137\)	2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.?	$[(46351657/1292, 773434071075/1292)]$

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