Elliptic curve search results

Results (14 matches)

  Download displayed columns for results to

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
54600.t1	54600n2	54600.t	54600n	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{12} \cdot 5^{3} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$294912$	$1.578245$	$7812480469498/4400862921$	$0.98433$	$3.86326$	$[0, -1, 0, -26248, 275692]$	\(y^2=x^3-x^2-26248x+275692\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[ ]$
54600.cs1	54600cs2	54600.cs	54600cs	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{12} \cdot 5^{9} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$1474560$	$2.382965$	$7812480469498/4400862921$	$0.98433$	$4.74856$	$[0, 1, 0, -656208, 33149088]$	\(y^2=x^3+x^2-656208x+33149088\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[ ]$
109200.b1	109200be2	109200.b	109200be	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{12} \cdot 5^{9} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$2.703850853$	$1$		$7$	$2949120$	$2.382965$	$7812480469498/4400862921$	$0.98433$	$4.46484$	$[0, -1, 0, -656208, -33149088]$	\(y^2=x^3-x^2-656208x-33149088\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(-54, 1458)]$
109200.fs1	109200cl2	109200.fs	109200cl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{12} \cdot 5^{3} \cdot 7^{2} \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$0.352167979$	$1$		$37$	$589824$	$1.578245$	$7812480469498/4400862921$	$0.98433$	$3.63244$	$[0, 1, 0, -26248, -275692]$	\(y^2=x^3+x^2-26248x-275692\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(-22, 540), (-76, 1134)]$
163800.b1	163800l2	163800.b	163800l	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{18} \cdot 5^{3} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$2359296$	$2.127552$	$7812480469498/4400862921$	$0.98433$	$4.05878$	$[0, 0, 0, -236235, -7207450]$	\(y^2=x^3-236235x-7207450\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[ ]$
163800.cx1	163800cq2	163800.cx	163800cq	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{18} \cdot 5^{9} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$8.338334226$	$1$		$1$	$11796480$	$2.932270$	$7812480469498/4400862921$	$0.98433$	$4.86307$	$[0, 0, 0, -5905875, -900931250]$	\(y^2=x^3-5905875x-900931250\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(-4071/2, 509467/2)]$
327600.gk1	327600gk2	327600.gk	327600gk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{18} \cdot 5^{9} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$23592960$	$2.932270$	$7812480469498/4400862921$	$0.98433$	$4.59764$	$[0, 0, 0, -5905875, 900931250]$	\(y^2=x^3-5905875x+900931250\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[ ]$
327600.nu1	327600nu2	327600.nu	327600nu	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{11} \cdot 3^{18} \cdot 5^{3} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$4718592$	$2.127552$	$7812480469498/4400862921$	$0.98433$	$3.83725$	$[0, 0, 0, -236235, 7207450]$	\(y^2=x^3-236235x+7207450\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[ ]$
382200.ew1	382200ew2	382200.ew	382200ew	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{11} \cdot 3^{12} \cdot 5^{9} \cdot 7^{8} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$4$	$2$	$1$	$70778880$	$3.355919$	$7812480469498/4400862921$	$0.98433$	$4.93802$	$[0, -1, 0, -32154208, -11434445588]$	\(y^2=x^3-x^2-32154208x-11434445588\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[ ]$
382200.jq1	382200jq2	382200.jq	382200jq	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{11} \cdot 3^{12} \cdot 5^{3} \cdot 7^{8} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$3.550520649$	$1$		$3$	$14155776$	$2.551201$	$7812480469498/4400862921$	$0.98433$	$4.18674$	$[0, 1, 0, -1286168, -91990032]$	\(y^2=x^3+x^2-1286168x-91990032\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(1243, 15210)]$
436800.fr1	436800fr2	436800.fr	436800fr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{17} \cdot 3^{12} \cdot 5^{9} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$4.578643464$	$1$		$3$	$23592960$	$2.729538$	$7812480469498/4400862921$	$0.98433$	$4.30848$	$[0, -1, 0, -2624833, 267817537]$	\(y^2=x^3-x^2-2624833x+267817537\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(13231, 1510488)]$
436800.kc1	436800kc2	436800.kc	436800kc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{17} \cdot 3^{12} \cdot 5^{3} \cdot 7^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$2.063124823$	$1$		$5$	$4718592$	$1.924818$	$7812480469498/4400862921$	$0.98433$	$3.56493$	$[0, -1, 0, -104993, -2100543]$	\(y^2=x^3-x^2-104993x-2100543\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(-53, 1820)]$
436800.kk1	436800kk2	436800.kk	436800kk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{17} \cdot 3^{12} \cdot 5^{3} \cdot 7^{2} \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$0.614966408$	$1$		$31$	$4718592$	$1.924818$	$7812480469498/4400862921$	$0.98433$	$3.56493$	$[0, 1, 0, -104993, 2100543]$	\(y^2=x^3+x^2-104993x+2100543\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[(403, 5040), (-77, 3120)]$
436800.ox1	436800ox2	436800.ox	436800ox	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{17} \cdot 3^{12} \cdot 5^{9} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$520$	$12$	$0$	$1$	$1$		$1$	$23592960$	$2.729538$	$7812480469498/4400862921$	$0.98433$	$4.30848$	$[0, 1, 0, -2624833, -267817537]$	\(y^2=x^3+x^2-2624833x-267817537\)	2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.?	$[ ]$

  Download displayed columns for results to