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
6270.m1	6270m4	6270.m	6270m	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 11^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$25080$	$48$	$0$	$1.051002119$	$1$		$4$	$6144$	$0.742884$	$7489156350944449/901299960$	$0.98106$	$4.18049$	$[1, 1, 1, -4076, 98453]$	\(y^2+xy+y=x^3+x^2-4076x+98453\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 264.24.0.?, 380.12.0.?, $\ldots$	$[(39, 7)]$
18810.j1	18810k3	18810.j	18810k	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{3} \cdot 3^{10} \cdot 5 \cdot 11^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$25080$	$48$	$0$	$3.208449361$	$1$		$4$	$49152$	$1.292191$	$7489156350944449/901299960$	$0.98106$	$4.38359$	$[1, -1, 0, -36684, -2694920]$	\(y^2+xy=x^3-x^2-36684x-2694920\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 88.12.0.?, 264.24.0.?, $\ldots$	$[(-111, 67)]$
31350.r1	31350r4	31350.r	31350r	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{7} \cdot 11^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$25080$	$48$	$0$	$0.932680129$	$1$		$6$	$147456$	$1.547604$	$7489156350944449/901299960$	$0.98106$	$4.46334$	$[1, 0, 1, -101901, 12510448]$	\(y^2+xy+y=x^3-101901x+12510448\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 76.12.0.?, 264.12.0.?, $\ldots$	$[(182, -54)]$
50160.bm1	50160bw4	50160.bm	50160bw	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{15} \cdot 3^{4} \cdot 5 \cdot 11^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$25080$	$48$	$0$	$1$	$1$		$1$	$147456$	$1.436031$	$7489156350944449/901299960$	$0.98106$	$4.14581$	$[0, 1, 0, -65216, -6431436]$	\(y^2=x^3+x^2-65216x-6431436\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 264.24.0.?, 380.12.0.?, $\ldots$	$[]$
68970.f1	68970c4	68970.f	68970c	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 11^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$25080$	$48$	$0$	$1$	$4$	$2$	$0$	$737280$	$1.941832$	$7489156350944449/901299960$	$0.98106$	$4.57209$	$[1, 1, 0, -493198, -133507172]$	\(y^2+xy=x^3+x^2-493198x-133507172\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 264.24.0.?, $\ldots$	$[]$
94050.df1	94050dg4	94050.df	94050dg	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{3} \cdot 3^{10} \cdot 5^{7} \cdot 11^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$25080$	$48$	$0$	$2.744844606$	$1$		$4$	$1179648$	$2.096909$	$7489156350944449/901299960$	$0.98106$	$4.61076$	$[1, -1, 1, -917105, -337782103]$	\(y^2+xy+y=x^3-x^2-917105x-337782103\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 228.12.0.?, 264.12.0.?, $\ldots$	$[(-551, 450)]$
119130.m1	119130l4	119130.m	119130l	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 11^{4} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$25080$	$48$	$0$	$8.112212344$	$1$		$0$	$2211840$	$2.215103$	$7489156350944449/901299960$	$0.98106$	$4.63886$	$[1, 0, 1, -1471444, -687061894]$	\(y^2+xy+y=x^3-1471444x-687061894\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 152.12.0.?, 264.12.0.?, $\ldots$	$[(-44471/8, 218857/8)]$
150480.dd1	150480p3	150480.dd	150480p	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{15} \cdot 3^{10} \cdot 5 \cdot 11^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$25080$	$48$	$0$	$1$	$1$		$1$	$1179648$	$1.985336$	$7489156350944449/901299960$	$0.98106$	$4.31668$	$[0, 0, 0, -586947, 173061826]$	\(y^2=x^3-586947x+173061826\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 88.12.0.?, 264.24.0.?, $\ldots$	$[]$
200640.cl1	200640ce4	200640.cl	200640ce	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{21} \cdot 3^{4} \cdot 5 \cdot 11^{4} \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$25080$	$48$	$0$	$28.79988581$	$1$		$5$	$1179648$	$1.782604$	$7489156350944449/901299960$	$0.98106$	$4.01571$	$[0, -1, 0, -260865, -51190623]$	\(y^2=x^3-x^2-260865x-51190623\)	2.3.0.a.1, 4.12.0-4.c.1.2, 264.24.0.?, 760.24.0.?, 25080.48.0.?	$[(2728, 139755), (1467, 52164)]$
200640.gb1	200640dt3	200640.gb	200640dt	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{21} \cdot 3^{4} \cdot 5 \cdot 11^{4} \cdot 19 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$25080$	$48$	$0$	$1$	$1$		$3$	$1179648$	$1.782604$	$7489156350944449/901299960$	$0.98106$	$4.01571$	$[0, 1, 0, -260865, 51190623]$	\(y^2=x^3+x^2-260865x+51190623\)	2.3.0.a.1, 4.12.0-4.c.1.1, 264.24.0.?, 760.24.0.?, 25080.48.0.?	$[]$
206910.en1	206910p3	206910.en	206910p	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{3} \cdot 3^{10} \cdot 5 \cdot 11^{10} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$25080$	$48$	$0$	$3.790176187$	$1$		$2$	$5898240$	$2.491138$	$7489156350944449/901299960$	$0.98106$	$4.70025$	$[1, -1, 1, -4438787, 3600254859]$	\(y^2+xy+y=x^3-x^2-4438787x+3600254859\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 264.24.0.?, 760.24.0.?, $\ldots$	$[(1409, 11202)]$
250800.ce1	250800ce4	250800.ce	250800ce	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{15} \cdot 3^{4} \cdot 5^{7} \cdot 11^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$25080$	$48$	$0$	$1.398882901$	$1$		$7$	$3538944$	$2.240749$	$7489156350944449/901299960$	$0.98106$	$4.38584$	$[0, -1, 0, -1630408, -800668688]$	\(y^2=x^3-x^2-1630408x-800668688\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 76.12.0.?, 264.12.0.?, $\ldots$	$[(-732, 176)]$
307230.hq1	307230hq4	307230.hq	307230hq	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 11^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$175560$	$48$	$0$	$3.391184406$	$1$		$2$	$2359296$	$1.715839$	$7489156350944449/901299960$	$0.98106$	$3.81689$	$[1, 0, 0, -199725, -34368615]$	\(y^2+xy=x^3-199725x-34368615\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 264.12.0.?, 760.12.0.?, $\ldots$	$[(732, 14187)]$
344850.gw1	344850gw4	344850.gw	344850gw	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{3} \cdot 3^{4} \cdot 5^{7} \cdot 11^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$25080$	$48$	$0$	$1$	$1$		$0$	$17694720$	$2.746552$	$7489156350944449/901299960$	$0.98106$	$4.75232$	$[1, 0, 0, -12329963, -16663736583]$	\(y^2+xy=x^3-12329963x-16663736583\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 264.12.0.?, 440.12.0.?, $\ldots$	$[]$
357390.du1	357390du3	357390.du	357390du	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{3} \cdot 3^{10} \cdot 5 \cdot 11^{4} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$25080$	$48$	$0$	$1$	$1$		$0$	$17694720$	$2.764408$	$7489156350944449/901299960$	$0.98106$	$4.75581$	$[1, -1, 1, -13242992, 18550671131]$	\(y^2+xy+y=x^3-x^2-13242992x+18550671131\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 264.12.0.?, 440.12.0.?, $\ldots$	$[]$