Elliptic curve search results

Results (10 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
15030.g1	15030c2	15030.g	15030c	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{5} \cdot 3^{3} \cdot 5^{2} \cdot 167^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1$	$1$		$0$	$6400$	$0.460897$	$735580702683/22311200$	$0.87639$	$3.18365$	$[1, -1, 0, -564, -4880]$	\(y^2+xy=x^3-x^2-564x-4880\)	2.3.0.a.1, 24.6.0.a.1, 6680.6.0.?, 10020.6.0.?, 20040.12.0.?	$[]$
15030.j1	15030j2	15030.j	15030j	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{5} \cdot 3^{9} \cdot 5^{2} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$0.770035812$	$1$		$8$	$19200$	$1.010202$	$735580702683/22311200$	$0.87639$	$3.86902$	$[1, -1, 1, -5078, 136837]$	\(y^2+xy+y=x^3-x^2-5078x+136837\)	2.3.0.a.1, 24.6.0.a.1, 6680.6.0.?, 10020.6.0.?, 20040.12.0.?	$[(5, 331)]$
75150.g1	75150c2	75150.g	75150c	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( 2^{5} \cdot 3^{9} \cdot 5^{8} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$2.713560657$	$1$		$2$	$460800$	$1.814922$	$735580702683/22311200$	$0.87639$	$4.17450$	$[1, -1, 0, -126942, 16977716]$	\(y^2+xy=x^3-x^2-126942x+16977716\)	2.3.0.a.1, 24.6.0.a.1, 6680.6.0.?, 10020.6.0.?, 20040.12.0.?	$[(-71, 5098)]$
75150.bb1	75150bc2	75150.bb	75150bc	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( 2^{5} \cdot 3^{3} \cdot 5^{8} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1.152576615$	$1$		$6$	$153600$	$1.265615$	$735580702683/22311200$	$0.87639$	$3.58738$	$[1, -1, 1, -14105, -624103]$	\(y^2+xy+y=x^3-x^2-14105x-624103\)	2.3.0.a.1, 24.6.0.a.1, 6680.6.0.?, 10020.6.0.?, 20040.12.0.?	$[(-71, 160)]$
120240.j1	120240bl2	120240.j	120240bl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{17} \cdot 3^{9} \cdot 5^{2} \cdot 167^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1$	$1$		$1$	$460800$	$1.703350$	$735580702683/22311200$	$0.87639$	$3.89230$	$[0, 0, 0, -81243, -8676342]$	\(y^2=x^3-81243x-8676342\)	2.3.0.a.1, 24.6.0.a.1, 6680.6.0.?, 10020.6.0.?, 20040.12.0.?	$[]$
120240.bp1	120240bv2	120240.bp	120240bv	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{17} \cdot 3^{3} \cdot 5^{2} \cdot 167^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$1.833037495$	$1$		$15$	$153600$	$1.154045$	$735580702683/22311200$	$0.87639$	$3.32878$	$[0, 0, 0, -9027, 321346]$	\(y^2=x^3-9027x+321346\)	2.3.0.a.1, 24.6.0.a.1, 6680.6.0.?, 10020.6.0.?, 20040.12.0.?	$[(65, 96), (47, 30)]$
480960.w1	480960w2	480960.w	480960w	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{23} \cdot 3^{3} \cdot 5^{2} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$3.523197076$	$1$		$3$	$1228800$	$1.500618$	$735580702683/22311200$	$0.87639$	$3.29394$	$[0, 0, 0, -36108, 2570768]$	\(y^2=x^3-36108x+2570768\)	2.3.0.a.1, 24.6.0.a.1, 6680.6.0.?, 10020.6.0.?, 20040.12.0.?	$[(-116, 2280)]$
480960.cl1	480960cl2	480960.cl	480960cl	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{23} \cdot 3^{3} \cdot 5^{2} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$3.335454380$	$1$		$3$	$1228800$	$1.500618$	$735580702683/22311200$	$0.87639$	$3.29394$	$[0, 0, 0, -36108, -2570768]$	\(y^2=x^3-36108x-2570768\)	2.3.0.a.1, 24.6.0.a.1, 6680.6.0.?, 10020.6.0.?, 20040.12.0.?	$[(1086, 35200)]$
480960.ec1	480960ec2	480960.ec	480960ec	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{23} \cdot 3^{9} \cdot 5^{2} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$5.579256008$	$1$		$1$	$3686400$	$2.049923$	$735580702683/22311200$	$0.87639$	$3.79776$	$[0, 0, 0, -324972, -69410736]$	\(y^2=x^3-324972x-69410736\)	2.3.0.a.1, 24.6.0.a.1, 6680.6.0.?, 10020.6.0.?, 20040.12.0.?	$[(42522/7, 5961600/7)]$
480960.fn1	480960fn2	480960.fn	480960fn	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( 2^{23} \cdot 3^{9} \cdot 5^{2} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$20040$	$12$	$0$	$8.296901612$	$1$		$1$	$3686400$	$2.049923$	$735580702683/22311200$	$0.87639$	$3.79776$	$[0, 0, 0, -324972, 69410736]$	\(y^2=x^3-324972x+69410736\)	2.3.0.a.1, 24.6.0.a.1, 6680.6.0.?, 10020.6.0.?, 20040.12.0.?	$[(-24455/8, 6010163/8)]$