Elliptic curve search results

Results (16 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
4389.c1	4389f3	4389.c	4389f	$4$	$4$	\( 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 3^{3} \cdot 7^{4} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$35112$	$48$	$0$	$3.046066780$	$1$		$2$	$6912$	$0.995397$	$3015048057243061393/13548843$	$0.95536$	$5.07343$	$[1, 0, 0, -30097, -2012218]$	\(y^2+xy=x^3-30097x-2012218\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 76.12.0.?, 132.12.0.?, $\ldots$	$[(206, 632)]$
13167.l1	13167j4	13167.l	13167j	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 3^{9} \cdot 7^{4} \cdot 11 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$35112$	$48$	$0$	$1$	$1$		$0$	$55296$	$1.544703$	$3015048057243061393/13548843$	$0.95536$	$5.18075$	$[1, -1, 0, -270873, 54329886]$	\(y^2+xy=x^3-x^2-270873x+54329886\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 168.12.0.?, 228.12.0.?, $\ldots$	$[]$
30723.g1	30723i4	30723.g	30723i	$4$	$4$	\( 3 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 3^{3} \cdot 7^{10} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$35112$	$48$	$0$	$2.799176026$	$1$		$4$	$331776$	$1.968351$	$3015048057243061393/13548843$	$0.95536$	$5.24793$	$[1, 1, 1, -1474754, 688716020]$	\(y^2+xy+y=x^3+x^2-1474754x+688716020\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 532.12.0.?, 924.12.0.?, $\ldots$	$[(701, -338)]$
48279.w1	48279o4	48279.w	48279o	$4$	$4$	\( 3 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 3^{3} \cdot 7^{4} \cdot 11^{7} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$35112$	$48$	$0$	$1$	$1$		$0$	$829440$	$2.194344$	$3015048057243061393/13548843$	$0.95536$	$5.27945$	$[1, 0, 1, -3641740, 2674620419]$	\(y^2+xy+y=x^3-3641740x+2674620419\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 616.12.0.?, 836.12.0.?, $\ldots$	$[]$
70224.bg1	70224bo4	70224.bg	70224bo	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{3} \cdot 7^{4} \cdot 11 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$35112$	$48$	$0$	$1$	$4$	$2$	$1$	$442368$	$1.688543$	$3015048057243061393/13548843$	$0.95536$	$4.55828$	$[0, -1, 0, -481552, 128781952]$	\(y^2=x^3-x^2-481552x+128781952\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 76.12.0.?, 132.12.0.?, $\ldots$	$[]$
83391.o1	83391h4	83391.o	83391h	$4$	$4$	\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \)	\( 3^{3} \cdot 7^{4} \cdot 11 \cdot 19^{7} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$35112$	$48$	$0$	$20.88870806$	$1$		$2$	$2488320$	$2.467617$	$3015048057243061393/13548843$	$0.95536$	$5.31420$	$[1, 1, 0, -10865024, 13780073217]$	\(y^2+xy=x^3+x^2-10865024x+13780073217\)	2.3.0.a.1, 4.12.0-4.c.1.1, 1064.24.0.?, 1848.24.0.?, 2508.24.0.?, $\ldots$	$[(22668579571/490, 3405417447095861/490)]$
92169.bi1	92169bk4	92169.bi	92169bk	$4$	$4$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 3^{9} \cdot 7^{10} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$35112$	$48$	$0$	$30.81722719$	$1$		$0$	$2654208$	$2.517658$	$3015048057243061393/13548843$	$0.95536$	$5.32021$	$[1, -1, 0, -13272786, -18608605331]$	\(y^2+xy=x^3-x^2-13272786x-18608605331\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 308.12.0.?, 1064.12.0.?, $\ldots$	$[(1034781937269957/267812, 31961915004016717289053/267812)]$
109725.bk1	109725a4	109725.bk	109725a	$4$	$4$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 3^{3} \cdot 5^{6} \cdot 7^{4} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$175560$	$48$	$0$	$7.138864688$	$4$	$2$	$0$	$884736$	$1.800116$	$3015048057243061393/13548843$	$0.95536$	$4.49836$	$[1, 1, 0, -752425, -251527250]$	\(y^2+xy=x^3+x^2-752425x-251527250\)	2.3.0.a.1, 4.6.0.c.1, 280.12.0.?, 380.12.0.?, 660.12.0.?, $\ldots$	$[(42095/2, 8564755/2)]$
144837.h1	144837h4	144837.h	144837h	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 3^{9} \cdot 7^{4} \cdot 11^{7} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$35112$	$48$	$0$	$1$	$4$	$2$	$0$	$6635520$	$2.743652$	$3015048057243061393/13548843$	$0.95536$	$5.34606$	$[1, -1, 1, -32775656, -72214751320]$	\(y^2+xy+y=x^3-x^2-32775656x-72214751320\)	2.3.0.a.1, 4.12.0-4.c.1.2, 1064.24.0.?, 1848.24.0.?, 2508.24.0.?, $\ldots$	$[]$
210672.ba1	210672p4	210672.ba	210672p	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{9} \cdot 7^{4} \cdot 11 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$35112$	$48$	$0$	$1$	$4$	$2$	$1$	$3538944$	$2.237850$	$3015048057243061393/13548843$	$0.95536$	$4.68750$	$[0, 0, 0, -4333971, -3472778734]$	\(y^2=x^3-4333971x-3472778734\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 168.12.0.?, 228.12.0.?, $\ldots$	$[]$
250173.h1	250173h4	250173.h	250173h	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \)	\( 3^{9} \cdot 7^{4} \cdot 11 \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$35112$	$48$	$0$	$4.635045349$	$1$		$2$	$19906560$	$3.016922$	$3015048057243061393/13548843$	$0.95536$	$5.37481$	$[1, -1, 1, -97785221, -372159762078]$	\(y^2+xy+y=x^3-x^2-97785221x-372159762078\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 616.12.0.?, 836.12.0.?, $\ldots$	$[(11880, 371846)]$
280896.ba1	280896ba4	280896.ba	280896ba	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 3^{3} \cdot 7^{4} \cdot 11 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$35112$	$48$	$0$	$1$	$4$	$2$	$1$	$3538944$	$2.035118$	$3015048057243061393/13548843$	$0.95536$	$4.38609$	$[0, -1, 0, -1926209, -1028329407]$	\(y^2=x^3-x^2-1926209x-1028329407\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.4, 152.12.0.?, 264.12.0.?, $\ldots$	$[]$
280896.ev1	280896ev3	280896.ev	280896ev	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 3^{3} \cdot 7^{4} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$35112$	$48$	$0$	$0.624673494$	$4$	$2$	$11$	$3538944$	$2.035118$	$3015048057243061393/13548843$	$0.95536$	$4.38609$	$[0, 1, 0, -1926209, 1028329407]$	\(y^2=x^3+x^2-1926209x+1028329407\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.4, 152.12.0.?, 264.12.0.?, $\ldots$	$[(799, 96)]$
329175.p1	329175p3	329175.p	329175p	$4$	$4$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 19 \)	\( 3^{9} \cdot 5^{6} \cdot 7^{4} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$175560$	$48$	$0$	$2.657684021$	$1$		$4$	$7077888$	$2.349422$	$3015048057243061393/13548843$	$0.95536$	$4.62822$	$[1, -1, 1, -6771830, 6784463922]$	\(y^2+xy+y=x^3-x^2-6771830x+6784463922\)	2.3.0.a.1, 4.6.0.c.1, 220.12.0.?, 840.12.0.?, 1064.12.0.?, $\ldots$	$[(1509, -330)]$
337953.bt1	337953bt4	337953.bt	337953bt	$4$	$4$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 19 \)	\( 3^{3} \cdot 7^{10} \cdot 11^{7} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$35112$	$48$	$0$	$41.03344327$	$1$		$0$	$39813120$	$3.167301$	$3015048057243061393/13548843$	$0.95536$	$5.38958$	$[1, 1, 0, -178445236, -917573249039]$	\(y^2+xy=x^3+x^2-178445236x-917573249039\)	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 88.12.0.?, 456.12.0.?, $\ldots$	$[(-37868250201808435299/70070908, 1341303190362604230223810543/70070908)]$
491568.ew1	491568ew4	491568.ew	491568ew	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 2^{12} \cdot 3^{3} \cdot 7^{10} \cdot 11 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$35112$	$48$	$0$	$4.545691609$	$4$	$2$	$3$	$21233664$	$2.661499$	$3015048057243061393/13548843$	$0.95536$	$4.77235$	$[0, 1, 0, -23596064, -44125017420]$	\(y^2=x^3+x^2-23596064x-44125017420\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 532.12.0.?, 924.12.0.?, $\ldots$	$[(6799, 331338)]$