Elliptic curve search results

Results (11 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
13260.g2	13260f2	13260.g	13260f	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$3.062049552$	$1$		$3$	$983040$	$3.027206$	$149359017613560984774704/163373427681970325625$	$1.00642$	$6.20551$	$[0, -1, 0, 7018580, -6754625768]$	\(y^2=x^3-x^2+7018580x-6754625768\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 136.12.0.?, 520.24.0.?, $\ldots$	$[(5074, 399330)]$
39780.j2	39780n2	39780.j	39780n	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 13^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1$	$16$	$2$	$1$	$7864320$	$3.576515$	$149359017613560984774704/163373427681970325625$	$1.00642$	$6.18419$	$[0, 0, 0, 63167217, 182311728518]$	\(y^2=x^3+63167217x+182311728518\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 408.12.0.?, 520.24.0.?, $\ldots$	$[ ]$
53040.co2	53040cr2	53040.co	53040cr	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$3932160$	$3.027206$	$149359017613560984774704/163373427681970325625$	$1.00642$	$5.41473$	$[0, 1, 0, 7018580, 6754625768]$	\(y^2=x^3+x^2+7018580x+6754625768\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 136.12.0.?, 520.24.0.?, $\ldots$	$[ ]$
66300.bb2	66300bh2	66300.bb	66300bh	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$1.697603007$	$1$		$3$	$23592960$	$3.831928$	$149359017613560984774704/163373427681970325625$	$1.00642$	$6.17571$	$[0, 1, 0, 175464492, -843977292012]$	\(y^2=x^3+x^2+175464492x-843977292012\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 520.24.0.?, 680.12.0.?, $\ldots$	$[(36843, 7458750)]$
159120.o2	159120bi2	159120.o	159120bi	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 13^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1$	$4$	$2$	$1$	$31457280$	$3.576515$	$149359017613560984774704/163373427681970325625$	$1.00642$	$5.46842$	$[0, 0, 0, 63167217, -182311728518]$	\(y^2=x^3+63167217x-182311728518\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 408.12.0.?, 520.24.0.?, $\ldots$	$[ ]$
172380.d2	172380be2	172380.d	172380be	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{16} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$165150720$	$4.309685$	$149359017613560984774704/163373427681970325625$	$1.00642$	$6.16179$	$[0, -1, 0, 1186139964, -14835168252360]$	\(y^2=x^3-x^2+1186139964x-14835168252360\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 136.12.0.?, 520.24.0.?, $\ldots$	$[ ]$
198900.x2	198900bj2	198900.x	198900bj	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{14} \cdot 5^{10} \cdot 13^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$188743680$	$4.381233$	$149359017613560984774704/163373427681970325625$	$1.00642$	$6.15989$	$[0, 0, 0, 1579180425, 22788966064750]$	\(y^2=x^3+1579180425x+22788966064750\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 520.24.0.?, 2040.12.0.?, $\ldots$	$[ ]$
212160.l2	212160dk2	212160.l	212160dk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3^{8} \cdot 5^{4} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$1.038001521$	$1$		$9$	$31457280$	$3.373783$	$149359017613560984774704/163373427681970325625$	$1.00642$	$5.14180$	$[0, -1, 0, 28074319, 54008931825]$	\(y^2=x^3-x^2+28074319x+54008931825\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 68.12.0-4.a.1.1, 520.24.0.?, $\ldots$	$[(-1399, 109512)]$
212160.fj2	212160fv2	212160.fj	212160fv	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3^{8} \cdot 5^{4} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$1.387285163$	$1$		$7$	$31457280$	$3.373783$	$149359017613560984774704/163373427681970325625$	$1.00642$	$5.14180$	$[0, 1, 0, 28074319, -54008931825]$	\(y^2=x^3+x^2+28074319x-54008931825\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 68.12.0-4.a.1.1, 520.24.0.?, $\ldots$	$[(5962, 570375)]$
225420.z2	225420n2	225420.z	225420n	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{10} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$520$	$48$	$0$	$6.140244161$	$1$		$5$	$283115520$	$4.443817$	$149359017613560984774704/163373427681970325625$	$1.00642$	$6.15827$	$[0, 1, 0, 2028369524, -33173306180860]$	\(y^2=x^3+x^2+2028369524x-33173306180860\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 52.12.0.d.1, 104.24.0.?, $\ldots$	$[(15056, 882606)]$
265200.cw2	265200cw2	265200.cw	265200cw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 13^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$94371840$	$3.831928$	$149359017613560984774704/163373427681970325625$	$1.00642$	$5.49016$	$[0, -1, 0, 175464492, 843977292012]$	\(y^2=x^3-x^2+175464492x+843977292012\)	2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 520.24.0.?, 680.12.0.?, $\ldots$	$[ ]$

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