Elliptic curve search results

Results (12 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
6699.c4	6699a4	6699.c	6699a	$4$	$4$	\( 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 3^{3} \cdot 7^{4} \cdot 11 \cdot 29^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$53592$	$48$	$0$	$6.548206615$	$1$		$0$	$6144$	$0.926445$	$42227808999767/504359959257$	$0.92634$	$3.89929$	$[1, 1, 0, 726, 33633]$	\(y^2+xy=x^3+x^2+726x+33633\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 44.12.0-4.c.1.2, 132.24.0.?, $\ldots$	$[(4799/2, 327911/2)]$
20097.c4	20097j4	20097.c	20097j	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( - 3^{9} \cdot 7^{4} \cdot 11 \cdot 29^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$53592$	$48$	$0$	$1$	$1$		$0$	$49152$	$1.475752$	$42227808999767/504359959257$	$0.92634$	$4.13221$	$[1, -1, 1, 6529, -901560]$	\(y^2+xy+y=x^3-x^2+6529x-901560\)	2.3.0.a.1, 4.12.0-4.c.1.2, 132.24.0.?, 4872.24.0.?, 17864.24.0.?, $\ldots$	$[]$
46893.o4	46893i3	46893.o	46893i	$4$	$4$	\( 3 \cdot 7^{2} \cdot 11 \cdot 29 \)	\( - 3^{3} \cdot 7^{10} \cdot 11 \cdot 29^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$6.069570278$	$1$		$0$	$294912$	$1.899401$	$42227808999767/504359959257$	$0.92634$	$4.27935$	$[1, 0, 1, 35548, -11429449]$	\(y^2+xy+y=x^3+35548x-11429449\)	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 132.12.0.?, 232.12.0.?, $\ldots$	$[(23805/4, 3648553/4)]$
73689.e4	73689s3	73689.e	73689s	$4$	$4$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{3} \cdot 7^{4} \cdot 11^{7} \cdot 29^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$53592$	$48$	$0$	$1$	$1$		$2$	$737280$	$2.125393$	$42227808999767/504359959257$	$0.92634$	$4.34874$	$[1, 1, 1, 87783, -44326512]$	\(y^2+xy+y=x^3+x^2+87783x-44326512\)	2.3.0.a.1, 4.12.0-4.c.1.1, 132.24.0.?, 4872.24.0.?, 17864.24.0.?, $\ldots$	$[]$
107184.cr4	107184cv3	107184.cr	107184cv	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{12} \cdot 3^{3} \cdot 7^{4} \cdot 11 \cdot 29^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$3.990307179$	$1$		$3$	$393216$	$1.619593$	$42227808999767/504359959257$	$0.92634$	$3.68402$	$[0, 1, 0, 11608, -2129292]$	\(y^2=x^3+x^2+11608x-2129292\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 44.12.0-4.c.1.1, 132.24.0.?, $\ldots$	$[(124, 1110)]$
140679.o4	140679i4	140679.o	140679i	$4$	$4$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \)	\( - 3^{9} \cdot 7^{10} \cdot 11 \cdot 29^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$1.842609961$	$1$		$2$	$2359296$	$2.448708$	$42227808999767/504359959257$	$0.92634$	$4.43881$	$[1, -1, 1, 319936, 308595116]$	\(y^2+xy+y=x^3-x^2+319936x+308595116\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 132.12.0.?, 696.12.0.?, $\ldots$	$[(3285, 190192)]$
167475.n4	167475h4	167475.n	167475h	$4$	$4$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( - 3^{3} \cdot 5^{6} \cdot 7^{4} \cdot 11 \cdot 29^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$267960$	$48$	$0$	$1.546514130$	$1$		$4$	$786432$	$1.731165$	$42227808999767/504359959257$	$0.92634$	$3.65864$	$[1, 0, 0, 18137, 4167842]$	\(y^2+xy=x^3+18137x+4167842\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 132.12.0.?, 220.12.0.?, $\ldots$	$[(86, 2480)]$
194271.i4	194271d4	194271.i	194271d	$4$	$4$	\( 3 \cdot 7 \cdot 11 \cdot 29^{2} \)	\( - 3^{3} \cdot 7^{4} \cdot 11 \cdot 29^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$8.818435459$	$1$		$0$	$5160960$	$2.610092$	$42227808999767/504359959257$	$0.92634$	$4.48020$	$[1, 0, 0, 610128, 812951937]$	\(y^2+xy=x^3+610128x+812951937\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 132.12.0.?, 348.12.0.?, $\ldots$	$[(13929/8, 15775449/8)]$
221067.z4	221067y4	221067.z	221067y	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{9} \cdot 7^{4} \cdot 11^{7} \cdot 29^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$1$	$1$		$0$	$5898240$	$2.674698$	$42227808999767/504359959257$	$0.92634$	$4.49615$	$[1, -1, 0, 790047, 1197605866]$	\(y^2+xy=x^3-x^2+790047x+1197605866\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 44.12.0-4.c.1.1, 132.24.0.?, $\ldots$	$[]$
321552.bw4	321552bw4	321552.bw	321552bw	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{12} \cdot 3^{9} \cdot 7^{4} \cdot 11 \cdot 29^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$53592$	$48$	$0$	$3.767635050$	$1$		$7$	$3145728$	$2.168900$	$42227808999767/504359959257$	$0.92634$	$3.88466$	$[0, 0, 0, 104469, 57595354]$	\(y^2=x^3+104469x+57595354\)	2.3.0.a.1, 4.12.0-4.c.1.1, 132.24.0.?, 4872.24.0.?, 17864.24.0.?, $\ldots$	$[(-249, 4018)]$
428736.bj4	428736bj3	428736.bj	428736bj	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{18} \cdot 3^{3} \cdot 7^{4} \cdot 11 \cdot 29^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$1$	$1$		$1$	$3145728$	$1.966166$	$42227808999767/504359959257$	$0.92634$	$3.61090$	$[0, -1, 0, 46431, -17080767]$	\(y^2=x^3-x^2+46431x-17080767\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 88.12.0.?, 132.12.0.?, $\ldots$	$[]$
428736.fh4	428736fh4	428736.fh	428736fh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{18} \cdot 3^{3} \cdot 7^{4} \cdot 11 \cdot 29^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$2.815794541$	$1$		$15$	$3145728$	$1.966166$	$42227808999767/504359959257$	$0.92634$	$3.61090$	$[0, 1, 0, 46431, 17080767]$	\(y^2=x^3+x^2+46431x+17080767\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 88.12.0.?, 132.12.0.?, $\ldots$	$[(-141, 2784), (5227/3, 418528/3)]$