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
10010.q2	10010m2	10010.q	10010m	$4$	$4$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.1	2Cs	$8008$	$48$	$0$	$1$	$1$		$2$	$7168$	$0.529356$	$17675559395649/2505002500$	$0.90403$	$3.31148$	$[1, -1, 1, -543, -4093]$	\(y^2+xy+y=x^3-x^2-543x-4093\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.b.1.4, 572.12.0.?, $\ldots$	$[ ]$
50050.p2	50050p2	50050.p	50050p	$4$	$4$	\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 5^{10} \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$40040$	$48$	$0$	$1.902770122$	$1$		$8$	$172032$	$1.334076$	$17675559395649/2505002500$	$0.90403$	$3.71136$	$[1, -1, 0, -13567, -525159]$	\(y^2+xy=x^3-x^2-13567x-525159\)	2.6.0.a.1, 40.12.0-2.a.1.1, 56.12.0.b.1, 140.12.0.?, 280.24.0.?, $\ldots$	$[(-72, 309)]$
70070.bw2	70070ce2	70070.bw	70070ce	$4$	$4$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 5^{4} \cdot 7^{8} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$8008$	$48$	$0$	$2.421330658$	$1$		$4$	$344064$	$1.502312$	$17675559395649/2505002500$	$0.90403$	$3.78038$	$[1, -1, 1, -26592, 1456991]$	\(y^2+xy+y=x^3-x^2-26592x+1456991\)	2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.b.1.2, 1144.24.0.?, 4004.24.0.?, $\ldots$	$[(-39, 1579)]$
80080.v2	80080bc2	80080.v	80080bc	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$8008$	$48$	$0$	$1$	$1$		$3$	$172032$	$1.222504$	$17675559395649/2505002500$	$0.90403$	$3.43829$	$[0, 0, 0, -8683, 270618]$	\(y^2=x^3-8683x+270618\)	2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.b.1.3, 572.12.0.?, $\ldots$	$[ ]$
90090.bl2	90090bp2	90090.bl	90090bp	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$24024$	$48$	$0$	$0.683609762$	$1$		$44$	$229376$	$1.078663$	$17675559395649/2505002500$	$0.90403$	$3.25149$	$[1, -1, 0, -4884, 115388]$	\(y^2+xy=x^3-x^2-4884x+115388\)	2.6.0.a.1, 24.12.0-2.a.1.1, 56.12.0.b.1, 84.12.0.?, 168.24.0.?, $\ldots$	$[(17, 184), (2, 324)]$
110110.z2	110110u2	110110.z	110110u	$4$	$4$	\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{2} \cdot 5^{4} \cdot 7^{2} \cdot 11^{8} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$8008$	$48$	$0$	$1$	$1$		$2$	$860160$	$1.728304$	$17675559395649/2505002500$	$0.90403$	$3.86680$	$[1, -1, 0, -65665, 5644425]$	\(y^2+xy=x^3-x^2-65665x+5644425\)	2.6.0.a.1, 52.12.0-2.a.1.1, 56.12.0.b.1, 88.12.0.?, 308.12.0.?, $\ldots$	$[ ]$
130130.z2	130130z2	130130.z	130130z	$4$	$4$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$8008$	$48$	$0$	$1$	$1$		$2$	$1204224$	$1.811831$	$17675559395649/2505002500$	$0.90403$	$3.89706$	$[1, -1, 0, -91714, -9266880]$	\(y^2+xy=x^3-x^2-91714x-9266880\)	2.6.0.a.1, 44.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 364.12.0.?, $\ldots$	$[ ]$
320320.dl2	320320dl2	320320.dl	320320dl	$4$	$4$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{20} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$8008$	$48$	$0$	$1$	$1$		$3$	$1376256$	$1.569077$	$17675559395649/2505002500$	$0.90403$	$3.39036$	$[0, 0, 0, -34732, -2164944]$	\(y^2=x^3-34732x-2164944\)	2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.b.1.1, 1144.24.0.?, 4004.24.0.?, $\ldots$	$[ ]$
320320.ds2	320320ds2	320320.ds	320320ds	$4$	$4$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{20} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$8008$	$48$	$0$	$1.867162451$	$1$		$9$	$1376256$	$1.569077$	$17675559395649/2505002500$	$0.90403$	$3.39036$	$[0, 0, 0, -34732, 2164944]$	\(y^2=x^3-34732x+2164944\)	2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.b.1.2, 1144.24.0.?, 4004.24.0.?, $\ldots$	$[(48, 780)]$
350350.bu2	350350bu2	350350.bu	350350bu	$4$	$4$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 5^{10} \cdot 7^{8} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$40040$	$48$	$0$	$1$	$1$		$2$	$8257536$	$2.307030$	$17675559395649/2505002500$	$0.90403$	$4.06020$	$[1, -1, 0, -664792, 181459116]$	\(y^2+xy=x^3-x^2-664792x+181459116\)	2.6.0.a.1, 20.12.0-2.a.1.1, 56.12.0.b.1, 280.24.0.?, 1144.12.0.?, $\ldots$	$[ ]$
400400.cv2	400400cv2	400400.cv	400400cv	$4$	$4$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 5^{10} \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$40040$	$48$	$0$	$6.218113561$	$1$		$17$	$4128768$	$2.027222$	$17675559395649/2505002500$	$0.90403$	$3.75789$	$[0, 0, 0, -217075, 33827250]$	\(y^2=x^3-217075x+33827250\)	2.6.0.a.1, 40.12.0-2.a.1.1, 56.12.0.b.1, 140.12.0.?, 280.24.0.?, $\ldots$	$[(95, 3750), (361, 1584)]$
450450.lr2	450450lr2	450450.lr	450450lr	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$120120$	$48$	$0$	$1$	$1$		$2$	$5505024$	$1.883381$	$17675559395649/2505002500$	$0.90403$	$3.59130$	$[1, -1, 1, -122105, 14301397]$	\(y^2+xy+y=x^3-x^2-122105x+14301397\)	2.6.0.a.1, 56.12.0.b.1, 120.12.0.?, 420.12.0.?, 840.24.0.?, $\ldots$	$[ ]$

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