Elliptic curve search results

Results (9 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
10470.a4	10470a1	10470.a	10470a	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 349 \)	\( - 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 349 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$8376$	$48$	$0$	$4.183959109$	$1$		$3$	$31104$	$1.104980$	$4916382075769319/3952292659200$	$0.93742$	$3.90345$	$2$	$[1, 1, 0, 3543, 52101]$	\(y^2+xy=x^3+x^2+3543x+52101\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$	$[(107, 1239)]$	$1$
31410.e4	31410g1	31410.e	31410g	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 349 \)	\( - 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 349 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$8376$	$48$	$0$	$1$	$1$		$3$	$248832$	$1.654287$	$4916382075769319/3952292659200$	$0.93742$	$4.12588$	$1$	$[1, -1, 1, 31882, -1374843]$	\(y^2+xy+y=x^3-x^2+31882x-1374843\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 2094.6.0.?, 2792.24.0.?, $\ldots$	$[ ]$	$1$
52350.q4	52350n1	52350.q	52350n	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 349 \)	\( - 2^{24} \cdot 3^{3} \cdot 5^{8} \cdot 349 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$41880$	$48$	$0$	$1$	$1$		$1$	$746496$	$1.909698$	$4916382075769319/3952292659200$	$0.93742$	$4.21399$	$2$	$[1, 0, 0, 88562, 6335492]$	\(y^2+xy=x^3+88562x+6335492\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.2, $\ldots$	$[ ]$	$1$
83760.w4	83760v1	83760.w	83760v	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \)	\( - 2^{36} \cdot 3^{3} \cdot 5^{2} \cdot 349 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$8376$	$48$	$0$	$8.206242189$	$1$		$1$	$746496$	$1.798128$	$4916382075769319/3952292659200$	$0.93742$	$3.92116$	$2$	$[0, 1, 0, 56680, -3221100]$	\(y^2=x^3+x^2+56680x-3221100\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$	$[(15025/4, 1897455/4)]$	$1$
157050.n4	157050y1	157050.n	157050y	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 349 \)	\( - 2^{24} \cdot 3^{9} \cdot 5^{8} \cdot 349 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$41880$	$48$	$0$	$32.71282104$	$1$		$1$	$5971968$	$2.459007$	$4916382075769319/3952292659200$	$0.93742$	$4.37799$	$2$	$[1, -1, 0, 797058, -171058284]$	\(y^2+xy=x^3-x^2+797058x-171058284\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.ba.1, 120.24.0.?, $\ldots$	$[(2399778949788861/197353, 117334044354651708592221/197353)]$	$1$
251280.x4	251280x1	251280.x	251280x	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \)	\( - 2^{36} \cdot 3^{9} \cdot 5^{2} \cdot 349 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$8376$	$48$	$0$	$1$	$1$		$1$	$5971968$	$2.347435$	$4916382075769319/3952292659200$	$0.93742$	$4.10483$	$2$	$[0, 0, 0, 510117, 87479818]$	\(y^2=x^3+510117x+87479818\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 2094.6.0.?, 2792.24.0.?, $\ldots$	$[ ]$	$1$
335040.q4	335040q1	335040.q	335040q	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 349 \)	\( - 2^{42} \cdot 3^{3} \cdot 5^{2} \cdot 349 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$8376$	$48$	$0$	$1$	$9$	$3$	$1$	$5971968$	$2.144703$	$4916382075769319/3952292659200$	$0.93742$	$3.82078$	$2$	$[0, -1, 0, 226719, -25995519]$	\(y^2=x^3-x^2+226719x-25995519\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 2094.6.0.?, $\ldots$	$[ ]$	$1$
335040.bh4	335040bh1	335040.bh	335040bh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 349 \)	\( - 2^{42} \cdot 3^{3} \cdot 5^{2} \cdot 349 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$8376$	$48$	$0$	$1$	$1$		$1$	$5971968$	$2.144703$	$4916382075769319/3952292659200$	$0.93742$	$3.82078$	$2$	$[0, 1, 0, 226719, 25995519]$	\(y^2=x^3+x^2+226719x+25995519\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.10, 2094.6.0.?, $\ldots$	$[ ]$	$1$
418800.c4	418800c1	418800.c	418800c	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 349 \)	\( - 2^{36} \cdot 3^{3} \cdot 5^{8} \cdot 349 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$41880$	$48$	$0$	$34.43383829$	$1$		$1$	$17915904$	$2.602848$	$4916382075769319/3952292659200$	$0.93742$	$4.17962$	$2$	$[0, -1, 0, 1416992, -405471488]$	\(y^2=x^3-x^2+1416992x-405471488\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.1, $\ldots$	$[(958153765555737/1875164, 5931663765494718620725/1875164)]$	$1$

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