Elliptic curve search results

Results (15 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
6630.ba1	6630x1	6630.ba	6630x	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5 \cdot 13^{5} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$48640$	$1.796621$	$31427652507069423952801/654426190080$	$0.99681$	$5.88702$	$[1, 0, 0, -657450, 205128612]$	\(y^2+xy=x^3-657450x+205128612\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[]$
19890.k1	19890d1	19890.k	19890d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{10} \cdot 5 \cdot 13^{5} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$8840$	$48$	$0$	$19.87037309$	$1$		$1$	$389120$	$2.345928$	$31427652507069423952801/654426190080$	$0.99681$	$5.89956$	$[1, -1, 0, -5917050, -5538472524]$	\(y^2+xy=x^3-x^2-5917050x-5538472524\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(1500892900/381, 56076385184534/381)]$
33150.c1	33150h1	33150.c	33150h	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 13^{5} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$0.540931278$	$1$		$9$	$1167360$	$2.601341$	$31427652507069423952801/654426190080$	$0.99681$	$5.90449$	$[1, 1, 0, -16436250, 25641076500]$	\(y^2+xy=x^3+x^2-16436250x+25641076500\)	2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(2315, 955)]$
53040.v1	53040bs1	53040.v	53040bs	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{20} \cdot 3^{4} \cdot 5 \cdot 13^{5} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$27.11722931$	$1$		$1$	$1167360$	$2.489769$	$31427652507069423952801/654426190080$	$0.99681$	$5.52632$	$[0, -1, 0, -10519200, -13128231168]$	\(y^2=x^3-x^2-10519200x-13128231168\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(1660323406257/8471, 2117070961872571584/8471)]$
86190.v1	86190x1	86190.v	86190x	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5 \cdot 13^{11} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$8171520$	$3.079098$	$31427652507069423952801/654426190080$	$0.99681$	$5.91252$	$[1, 0, 1, -111109054, 450778669616]$	\(y^2+xy+y=x^3-111109054x+450778669616\)	2.3.0.a.1, 4.6.0.b.1, 312.12.0.?, 2040.12.0.?, 2210.6.0.?, $\ldots$	$[]$
99450.cj1	99450cz1	99450.cj	99450cz	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{7} \cdot 13^{5} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$9338880$	$3.150646$	$31427652507069423952801/654426190080$	$0.99681$	$5.91360$	$[1, -1, 1, -147926255, -692456991753]$	\(y^2+xy+y=x^3-x^2-147926255x-692456991753\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.2, 1768.12.0.?, 2210.6.0.?, $\ldots$	$[]$
112710.bs1	112710bs1	112710.bs	112710bs	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5 \cdot 13^{5} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$14008320$	$3.213230$	$31427652507069423952801/654426190080$	$0.99681$	$5.91453$	$[1, 1, 1, -190003056, 1007986873809]$	\(y^2+xy+y=x^3+x^2-190003056x+1007986873809\)	2.3.0.a.1, 4.6.0.b.1, 408.12.0.?, 1560.12.0.?, 2210.6.0.?, $\ldots$	$[]$
159120.p1	159120bk1	159120.p	159120bk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{20} \cdot 3^{10} \cdot 5 \cdot 13^{5} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$9338880$	$3.039074$	$31427652507069423952801/654426190080$	$0.99681$	$5.56977$	$[0, 0, 0, -94672803, 354556914338]$	\(y^2=x^3-94672803x+354556914338\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[]$
212160.bk1	212160hq1	212160.bk	212160hq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{26} \cdot 3^{4} \cdot 5 \cdot 13^{5} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$5.169938020$	$1$		$11$	$9338880$	$2.836342$	$31427652507069423952801/654426190080$	$0.99681$	$5.24078$	$[0, -1, 0, -42076801, 105067926145]$	\(y^2=x^3-x^2-42076801x+105067926145\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(-351, 346112), (3744, 143)]$
212160.el1	212160bg1	212160.el	212160bg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{26} \cdot 3^{4} \cdot 5 \cdot 13^{5} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$9338880$	$2.836342$	$31427652507069423952801/654426190080$	$0.99681$	$5.24078$	$[0, 1, 0, -42076801, -105067926145]$	\(y^2=x^3+x^2-42076801x-105067926145\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[]$
258570.ek1	258570ek1	258570.ek	258570ek	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{10} \cdot 5 \cdot 13^{11} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$13.19867005$	$1$		$1$	$65372160$	$3.628403$	$31427652507069423952801/654426190080$	$0.99681$	$5.92023$	$[1, -1, 1, -999981482, -12171024079639]$	\(y^2+xy+y=x^3-x^2-999981482x-12171024079639\)	2.3.0.a.1, 4.6.0.b.1, 104.12.0.?, 680.12.0.?, 2210.6.0.?, $\ldots$	$[(1917653955/227, 16953196919381/227)]$
265200.gg1	265200gg1	265200.gg	265200gg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{20} \cdot 3^{4} \cdot 5^{7} \cdot 13^{5} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$3.662364339$	$1$		$3$	$28016640$	$3.294487$	$31427652507069423952801/654426190080$	$0.99681$	$5.58737$	$[0, 1, 0, -262980008, -1641554856012]$	\(y^2=x^3+x^2-262980008x-1641554856012\)	2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(19468, 785850)]$
324870.dt1	324870dt1	324870.dt	324870dt	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 13^{5} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$185640$	$48$	$0$	$4.012162528$	$1$		$3$	$17510400$	$2.769577$	$31427652507069423952801/654426190080$	$0.99681$	$5.00170$	$[1, 1, 1, -32215051, -70391328967]$	\(y^2+xy+y=x^3+x^2-32215051x-70391328967\)	2.3.0.a.1, 4.6.0.b.1, 168.12.0.?, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(11123, 967878)]$
338130.bg1	338130bg1	338130.bg	338130bg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{10} \cdot 5 \cdot 13^{5} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$59.62297769$	$1$		$1$	$112066560$	$3.762535$	$31427652507069423952801/654426190080$	$0.99681$	$5.92191$	$[1, -1, 0, -1710027504, -27217355620352]$	\(y^2+xy=x^3-x^2-1710027504x-27217355620352\)	2.3.0.a.1, 4.6.0.b.1, 136.12.0.?, 520.12.0.?, 2210.6.0.?, $\ldots$	$[(210131536461942856573205584/65743155771, 599704791262186938594315266563512419536/65743155771)]$
430950.ge1	430950ge1	430950.ge	430950ge	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 13^{11} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$9.478660569$	$1$		$1$	$196116480$	$3.883816$	$31427652507069423952801/654426190080$	$0.99681$	$5.92337$	$[1, 1, 1, -2777726338, 56347333702031]$	\(y^2+xy+y=x^3+x^2-2777726338x+56347333702031\)	2.3.0.a.1, 4.6.0.b.1, 408.12.0.?, 1560.12.0.?, 2210.6.0.?, $\ldots$	$[(-20429/2, 67144521/2)]$