Elliptic curve search results

Results (27 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
2310.s1	2310s1	2310.s	2310s	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$192$	$-0.515627$	$24137569/13860$	$1.02104$	$2.19487$	$[1, 0, 0, -6, 0]$	\(y^2+xy=x^3-6x\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
6930.j1	6930l1	6930.j	6930l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.833988366$	$1$		$7$	$1536$	$0.033680$	$24137569/13860$	$1.02104$	$2.66757$	$[1, -1, 0, -54, 0]$	\(y^2+xy=x^3-x^2-54x\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(9, 9)]$
11550.m1	11550l1	11550.m	11550l	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.452201122$	$1$		$9$	$4608$	$0.289093$	$24137569/13860$	$1.02104$	$2.84955$	$[1, 1, 0, -150, 0]$	\(y^2+xy=x^3+x^2-150x\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(15, 30)]$
16170.br1	16170bt1	16170.br	16170bt	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.367916197$	$1$		$3$	$9216$	$0.457329$	$24137569/13860$	$1.02104$	$2.95893$	$[1, 1, 1, -295, -295]$	\(y^2+xy+y=x^3+x^2-295x-295\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(55, 364)]$
18480.r1	18480bw1	18480.r	18480bw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.263766626$	$1$		$5$	$4608$	$0.177521$	$24137569/13860$	$1.02104$	$2.57694$	$[0, -1, 0, -96, 0]$	\(y^2=x^3-x^2-96x\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-6, 18)]$
25410.z1	25410bd1	25410.z	25410bd	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$23040$	$0.683321$	$24137569/13860$	$1.02104$	$3.09445$	$[1, 0, 1, -729, -728]$	\(y^2+xy+y=x^3-729x-728\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
34650.dq1	34650dl1	34650.dq	34650dl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.838399$	$24137569/13860$	$1.02104$	$3.18066$	$[1, -1, 1, -1355, -1353]$	\(y^2+xy+y=x^3-x^2-1355x-1353\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
48510.c1	48510s1	48510.c	48510s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{8} \cdot 5 \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.579485553$	$1$		$11$	$73728$	$1.006636$	$24137569/13860$	$1.02104$	$3.26858$	$[1, -1, 0, -2655, 5305]$	\(y^2+xy=x^3-x^2-2655x+5305\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-19, 230)]$
55440.ex1	55440ew1	55440.ex	55440ew	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.726827$	$24137569/13860$	$1.02104$	$2.92123$	$[0, 0, 0, -867, 866]$	\(y^2=x^3-867x+866\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
73920.cc1	73920ba1	73920.cc	73920ba	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.524095$	$24137569/13860$	$1.02104$	$2.62926$	$[0, -1, 0, -385, 385]$	\(y^2=x^3-x^2-385x+385\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
73920.hz1	73920in1	73920.hz	73920in	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.524095$	$24137569/13860$	$1.02104$	$2.62926$	$[0, 1, 0, -385, -385]$	\(y^2=x^3+x^2-385x-385\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
76230.ep1	76230fb1	76230.ep	76230fb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.232628$	$24137569/13860$	$1.02104$	$3.37840$	$[1, -1, 1, -6557, 19649]$	\(y^2+xy+y=x^3-x^2-6557x+19649\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
80850.dh1	80850co1	80850.dh	80850co	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{2} \cdot 5^{7} \cdot 7^{7} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.262047$	$24137569/13860$	$1.02104$	$3.39205$	$[1, 0, 1, -7376, -22102]$	\(y^2+xy+y=x^3-7376x-22102\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
92400.eh1	92400gf1	92400.eh	92400gf	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.270168750$	$1$		$5$	$110592$	$0.982240$	$24137569/13860$	$1.02104$	$3.05878$	$[0, 1, 0, -2408, -4812]$	\(y^2=x^3+x^2-2408x-4812\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-12, 150)]$
127050.ga1	127050fq1	127050.ga	127050fq	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$2.663000683$	$1$		$3$	$552960$	$1.488041$	$24137569/13860$	$1.02104$	$3.49235$	$[1, 1, 1, -18213, -90969]$	\(y^2+xy+y=x^3+x^2-18213x-90969\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-45, 822)]$
129360.fz1	129360hq1	129360.fz	129360hq	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{2} \cdot 5 \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$3.282069279$	$1$		$3$	$221184$	$1.150476$	$24137569/13860$	$1.02104$	$3.14285$	$[0, 1, 0, -4720, 9428]$	\(y^2=x^3+x^2-4720x+9428\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-52, 342)]$
177870.by1	177870ht1	177870.by	177870ht	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{7} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$1105920$	$1.656277$	$24137569/13860$	$1.02104$	$3.56215$	$[1, 1, 0, -35697, 213921]$	\(y^2+xy=x^3+x^2-35697x+213921\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
203280.e1	203280dx1	203280.e	203280dx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$0.681274402$	$1$		$9$	$552960$	$1.376469$	$24137569/13860$	$1.02104$	$3.24851$	$[0, -1, 0, -11656, 46576]$	\(y^2=x^3-x^2-11656x+46576\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-62, 726)]$
221760.bz1	221760ll1	221760.bz	221760ll	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$2.045983637$	$1$		$5$	$294912$	$1.073400$	$24137569/13860$	$1.02104$	$2.93010$	$[0, 0, 0, -3468, -6928]$	\(y^2=x^3-3468x-6928\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(62, 128)]$
221760.dm1	221760ds1	221760.dm	221760ds	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$4.800206688$	$1$		$9$	$294912$	$1.073400$	$24137569/13860$	$1.02104$	$2.93010$	$[0, 0, 0, -3468, 6928]$	\(y^2=x^3-3468x+6928\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(66, 256), (-4, 144)]$
242550.kr1	242550kr1	242550.kr	242550kr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{7} \cdot 7^{7} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$1769472$	$1.811354$	$24137569/13860$	$1.02104$	$3.62313$	$[1, -1, 1, -66380, 596747]$	\(y^2+xy+y=x^3-x^2-66380x+596747\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
277200.ef1	277200ef1	277200.ef	277200ef	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$4.102918507$	$1$		$15$	$884736$	$1.531546$	$24137569/13860$	$1.02104$	$3.31661$	$[0, 0, 0, -21675, 108250]$	\(y^2=x^3-21675x+108250\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(149, 432), (-91, 1152)]$
369600.fv1	369600fv1	369600.fv	369600fv	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$3.547060350$	$1$		$3$	$884736$	$1.328814$	$24137569/13860$	$1.02104$	$3.05242$	$[0, -1, 0, -9633, -28863]$	\(y^2=x^3-x^2-9633x-28863\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-57, 576)]$
369600.to1	369600to1	369600.to	369600to	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$5.746462306$	$1$		$1$	$884736$	$1.328814$	$24137569/13860$	$1.02104$	$3.05242$	$[0, 1, 0, -9633, 28863]$	\(y^2=x^3+x^2-9633x+28863\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(3163/3, 171136/3)]$
381150.ds1	381150ds1	381150.ds	381150ds	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1.632779430$	$1$		$5$	$4423680$	$2.037346$	$24137569/13860$	$1.02104$	$3.70673$	$[1, -1, 0, -163917, 2292241]$	\(y^2+xy=x^3-x^2-163917x+2292241\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(-52, 3293)]$
388080.es1	388080es1	388080.es	388080es	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5 \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$2.672391966$	$1$		$5$	$1769472$	$1.699781$	$24137569/13860$	$1.02104$	$3.38677$	$[0, 0, 0, -42483, -297038]$	\(y^2=x^3-42483x-297038\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[(434, 7938)]$
390390.ci1	390390ci1	390390.ci	390390ci	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$414720$	$0.766849$	$24137569/13860$	$1.02104$	$2.51567$	$[1, 0, 1, -1018, 1016]$	\(y^2+xy+y=x^3-1018x+1016\)	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$