Elliptic curve search results

Results (22 matches)

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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	Manin constant
9240.d3	9240a1	9240.d	9240a	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$4096$	$0.386281$	$5702413264/2525985$	$0.84046$	$3.06740$	$[0, -1, 0, -236, 756]$	\(y^2=x^3-x^2-236x+756\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.y.1.9, $\ldots$	$[ ]$	$1$
18480.bz3	18480u1	18480.bz	18480u	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$3080$	$48$	$0$	$1.064493110$	$1$		$5$	$8192$	$0.386281$	$5702413264/2525985$	$0.84046$	$2.85098$	$[0, 1, 0, -236, -756]$	\(y^2=x^3+x^2-236x-756\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.y.1.1, $\ldots$	$[(-5, 18)]$	$1$
27720.bs3	27720br1	27720.bs	27720br	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$1$	$32768$	$0.935588$	$5702413264/2525985$	$0.84046$	$3.38234$	$[0, 0, 0, -2127, -18286]$	\(y^2=x^3-2127x-18286\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.y.1, 60.12.0-4.c.1.2, $\ldots$	$[ ]$	$1$
46200.by3	46200ck1	46200.by	46200ck	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3080$	$48$	$0$	$1.360534355$	$1$		$13$	$98304$	$1.191000$	$5702413264/2525985$	$0.84046$	$3.50683$	$[0, 1, 0, -5908, 82688]$	\(y^2=x^3+x^2-5908x+82688\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.y.1.2, 616.24.0.?, 770.6.0.?, $\ldots$	$[(14, 54)]$	$1$
55440.dc3	55440bc1	55440.dc	55440bc	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$4.094204682$	$1$		$3$	$65536$	$0.935588$	$5702413264/2525985$	$0.84046$	$3.16770$	$[0, 0, 0, -2127, 18286]$	\(y^2=x^3-2127x+18286\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.y.1, 60.12.0-4.c.1.1, $\ldots$	$[(105, 976)]$	$1$
64680.da3	64680bd1	64680.da	64680bd	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{7} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$196608$	$1.359238$	$5702413264/2525985$	$0.84046$	$3.58256$	$[0, 1, 0, -11580, -236160]$	\(y^2=x^3+x^2-11580x-236160\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 44.12.0-4.c.1.2, 56.12.0-4.c.1.4, $\ldots$	$[ ]$	$1$
73920.cf3	73920fi1	73920.cf	73920fi	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$3080$	$48$	$0$	$2.568606902$	$1$		$3$	$65536$	$0.732855$	$5702413264/2525985$	$0.84046$	$2.86941$	$[0, -1, 0, -945, -5103]$	\(y^2=x^3-x^2-945x-5103\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.13, 616.24.0.?, $\ldots$	$[(37, 96)]$	$1$
73920.ib3	73920dt1	73920.ib	73920dt	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$3080$	$48$	$0$	$1.069718327$	$1$		$5$	$65536$	$0.732855$	$5702413264/2525985$	$0.84046$	$2.86941$	$[0, 1, 0, -945, 5103]$	\(y^2=x^3+x^2-945x+5103\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.5, 616.24.0.?, $\ldots$	$[(3, 48)]$	$1$
92400.di3	92400x1	92400.di	92400x	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3080$	$48$	$0$	$2.797372014$	$1$		$5$	$196608$	$1.191000$	$5702413264/2525985$	$0.84046$	$3.29424$	$[0, -1, 0, -5908, -82688]$	\(y^2=x^3-x^2-5908x-82688\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.y.1.10, 616.24.0.?, 770.6.0.?, $\ldots$	$[(-43, 300)]$	$1$
101640.d3	101640bs1	101640.d	101640bs	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1.524398676$	$1$		$5$	$491520$	$1.585230$	$5702413264/2525985$	$0.84046$	$3.67734$	$[0, -1, 0, -28596, -891900]$	\(y^2=x^3-x^2-28596x-891900\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.y.1, 88.12.0.?, $\ldots$	$[(-106, 968)]$	$1$
129360.dl3	129360bq1	129360.dl	129360bq	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{7} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$393216$	$1.359238$	$5702413264/2525985$	$0.84046$	$3.37159$	$[0, -1, 0, -11580, 236160]$	\(y^2=x^3-x^2-11580x+236160\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 44.12.0-4.c.1.1, 56.12.0-4.c.1.4, $\ldots$	$[ ]$	$1$
138600.bq3	138600dz1	138600.bq	138600dz	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$4.826739155$	$1$		$3$	$786432$	$1.740307$	$5702413264/2525985$	$0.84046$	$3.73818$	$[0, 0, 0, -53175, -2285750]$	\(y^2=x^3-53175x-2285750\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.y.1, 120.24.0.?, $\ldots$	$[(-141, 1552)]$	$1$
194040.bo3	194040y1	194040.bo	194040y	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{14} \cdot 5 \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1.928532496$	$1$		$5$	$1572864$	$1.908543$	$5702413264/2525985$	$0.84046$	$3.80069$	$[0, 0, 0, -104223, 6272098]$	\(y^2=x^3-104223x+6272098\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 132.12.0.?, 168.12.0.?, $\ldots$	$[(-7, 2646)]$	$1$
203280.ey3	203280fq1	203280.ey	203280fq	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$983040$	$1.585230$	$5702413264/2525985$	$0.84046$	$3.46879$	$[0, 1, 0, -28596, 891900]$	\(y^2=x^3+x^2-28596x+891900\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.y.1, 88.12.0.?, $\ldots$	$[ ]$	$1$
221760.ck3	221760er1	221760.ck	221760er	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$1$	$524288$	$1.282162$	$5702413264/2525985$	$0.84046$	$3.14882$	$[0, 0, 0, -8508, 146288]$	\(y^2=x^3-8508x+146288\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.y.1, 120.24.0.?, $\ldots$	$[ ]$	$1$
221760.dw3	221760kx1	221760.dw	221760kx	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$3.078942208$	$1$		$3$	$524288$	$1.282162$	$5702413264/2525985$	$0.84046$	$3.14882$	$[0, 0, 0, -8508, -146288]$	\(y^2=x^3-8508x-146288\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.y.1, 120.24.0.?, $\ldots$	$[(-18, 32)]$	$1$
277200.hz3	277200hz1	277200.hz	277200hz	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$3.624229031$	$1$		$5$	$1572864$	$1.740307$	$5702413264/2525985$	$0.84046$	$3.53143$	$[0, 0, 0, -53175, 2285750]$	\(y^2=x^3-53175x+2285750\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.y.1, 120.24.0.?, $\ldots$	$[(305, 3800)]$	$1$
304920.cy3	304920cy1	304920.cy	304920cy	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 5 \cdot 7 \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$1$	$1$		$1$	$3932160$	$2.134537$	$5702413264/2525985$	$0.84046$	$3.87941$	$[0, 0, 0, -257367, 24338666]$	\(y^2=x^3-257367x+24338666\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 84.12.0.?, 264.12.0.?, $\ldots$	$[ ]$	$1$
323400.bf3	323400bf1	323400.bf	323400bf	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{7} \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3080$	$48$	$0$	$1.336421910$	$1$		$7$	$4718592$	$2.163956$	$5702413264/2525985$	$0.84046$	$3.88924$	$[0, -1, 0, -289508, -28940988]$	\(y^2=x^3-x^2-289508x-28940988\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.y.1, 88.12.0.?, $\ldots$	$[(656, 7938)]$	$1$
369600.fj3	369600fj1	369600.fj	369600fj	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$1572864$	$1.537575$	$5702413264/2525985$	$0.84046$	$3.26242$	$[0, -1, 0, -23633, 685137]$	\(y^2=x^3-x^2-23633x+685137\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.y.1.14, 616.24.0.?, $\ldots$	$[ ]$	$1$
369600.td3	369600td1	369600.td	369600td	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{7} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$3080$	$48$	$0$	$1$	$1$		$1$	$1572864$	$1.537575$	$5702413264/2525985$	$0.84046$	$3.26242$	$[0, 1, 0, -23633, -685137]$	\(y^2=x^3+x^2-23633x-685137\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.y.1.6, 616.24.0.?, $\ldots$	$[ ]$	$1$
388080.bb3	388080bb1	388080.bb	388080bb	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{14} \cdot 5 \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9240$	$48$	$0$	$3.110274792$	$1$		$5$	$3145728$	$1.908543$	$5702413264/2525985$	$0.84046$	$3.59597$	$[0, 0, 0, -104223, -6272098]$	\(y^2=x^3-104223x-6272098\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 132.12.0.?, 168.12.0.?, $\ldots$	$[(-91, 1568)]$	$1$

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