Elliptic curve search results

Results (10 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
7530.l2	7530l1	7530.l	7530l	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 251 \)	\( 2^{7} \cdot 3^{14} \cdot 5^{7} \cdot 251 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$70280$	$96$	$2$	$1$	$1$		$6$	$122304$	$1.961704$	$4698278114490760338721/12005252190000000$	$1.02756$	$5.59017$	$[1, 0, 0, -348930, 79128900]$	\(y^2+xy=x^3-348930x+79128900\)	7.48.0-7.a.1.2, 10040.2.0.?, 70280.96.2.?	$[]$
22590.d2	22590b1	22590.d	22590b	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 251 \)	\( 2^{7} \cdot 3^{20} \cdot 5^{7} \cdot 251 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$210840$	$96$	$2$	$18.65609049$	$1$		$0$	$978432$	$2.511009$	$4698278114490760338721/12005252190000000$	$1.02756$	$5.63508$	$[1, -1, 0, -3140370, -2136480300]$	\(y^2+xy=x^3-x^2-3140370x-2136480300\)	7.24.0.a.1, 21.48.0-7.a.1.2, 10040.2.0.?, 70280.48.2.?, 210840.96.2.?	$[(-775708647/881, 1537416799809/881)]$
37650.d2	37650b1	37650.d	37650b	$2$	$7$	\( 2 \cdot 3 \cdot 5^{2} \cdot 251 \)	\( 2^{7} \cdot 3^{14} \cdot 5^{13} \cdot 251 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$70280$	$96$	$2$	$3.070118576$	$1$		$2$	$2935296$	$2.766422$	$4698278114490760338721/12005252190000000$	$1.02756$	$5.65277$	$[1, 1, 0, -8723250, 9891112500]$	\(y^2+xy=x^3+x^2-8723250x+9891112500\)	7.24.0.a.1, 35.48.0-7.a.1.1, 10040.2.0.?, 14056.48.0.?, 70280.96.2.?	$[(1521, 11268)]$
60240.k2	60240o1	60240.k	60240o	$2$	$7$	\( 2^{4} \cdot 3 \cdot 5 \cdot 251 \)	\( 2^{19} \cdot 3^{14} \cdot 5^{7} \cdot 251 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$70280$	$96$	$2$	$1$	$1$		$0$	$2935296$	$2.654850$	$4698278114490760338721/12005252190000000$	$1.02756$	$5.28973$	$[0, -1, 0, -5582880, -5064249600]$	\(y^2=x^3-x^2-5582880x-5064249600\)	7.24.0.a.1, 28.48.0-7.a.1.1, 10040.2.0.?, 70280.96.2.?	$[]$
112950.bm2	112950bq1	112950.bm	112950bq	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 251 \)	\( 2^{7} \cdot 3^{20} \cdot 5^{13} \cdot 251 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$210840$	$96$	$2$	$1$	$1$		$0$	$23482368$	$3.315727$	$4698278114490760338721/12005252190000000$	$1.02756$	$5.68556$	$[1, -1, 1, -78509255, -267138546753]$	\(y^2+xy+y=x^3-x^2-78509255x-267138546753\)	7.24.0.a.1, 105.48.0.?, 10040.2.0.?, 42168.48.0.?, 70280.48.2.?, $\ldots$	$[]$
180720.i2	180720s1	180720.i	180720s	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 251 \)	\( 2^{19} \cdot 3^{20} \cdot 5^{7} \cdot 251 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$210840$	$96$	$2$	$7.098640756$	$1$		$2$	$23482368$	$3.204155$	$4698278114490760338721/12005252190000000$	$1.02756$	$5.35419$	$[0, 0, 0, -50245923, 136784985122]$	\(y^2=x^3-50245923x+136784985122\)	7.24.0.a.1, 84.48.0.?, 10040.2.0.?, 70280.48.2.?, 210840.96.2.?	$[(17009, 2050112)]$
240960.j2	240960j1	240960.j	240960j	$2$	$7$	\( 2^{6} \cdot 3 \cdot 5 \cdot 251 \)	\( 2^{25} \cdot 3^{14} \cdot 5^{7} \cdot 251 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$70280$	$96$	$2$	$1$	$1$		$0$	$23482368$	$3.001423$	$4698278114490760338721/12005252190000000$	$1.02756$	$5.03359$	$[0, -1, 0, -22331521, 40536328321]$	\(y^2=x^3-x^2-22331521x+40536328321\)	7.24.0.a.1, 56.48.0-7.a.1.1, 10040.2.0.?, 35140.48.0.?, 70280.96.2.?	$[]$
240960.bk2	240960bk1	240960.bk	240960bk	$2$	$7$	\( 2^{6} \cdot 3 \cdot 5 \cdot 251 \)	\( 2^{25} \cdot 3^{14} \cdot 5^{7} \cdot 251 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$70280$	$96$	$2$	$3.891720466$	$1$		$2$	$23482368$	$3.001423$	$4698278114490760338721/12005252190000000$	$1.02756$	$5.03359$	$[0, 1, 0, -22331521, -40536328321]$	\(y^2=x^3+x^2-22331521x-40536328321\)	7.24.0.a.1, 56.48.0-7.a.1.2, 10040.2.0.?, 17570.48.0.?, 70280.96.2.?	$[(-2683, 8532)]$
301200.bu2	301200bu1	301200.bu	301200bu	$2$	$7$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 251 \)	\( 2^{19} \cdot 3^{14} \cdot 5^{13} \cdot 251 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$70280$	$96$	$2$	$3.762708726$	$1$		$14$	$70447104$	$3.459568$	$4698278114490760338721/12005252190000000$	$1.02756$	$5.38034$	$[0, 1, 0, -139572008, -633310344012]$	\(y^2=x^3+x^2-139572008x-633310344012\)	7.24.0.a.1, 140.48.0.?, 10040.2.0.?, 14056.48.0.?, 70280.96.2.?	$[(-7058, 15552), (-6572, 12150)]$
368970.bx2	368970bx1	368970.bx	368970bx	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 251 \)	\( 2^{7} \cdot 3^{14} \cdot 5^{7} \cdot 7^{6} \cdot 251 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.4	7B.1.6	$70280$	$96$	$2$	$1$	$1$		$0$	$46230912$	$2.934658$	$4698278114490760338721/12005252190000000$	$1.02756$	$4.80377$	$[1, 1, 1, -17097571, -27158310271]$	\(y^2+xy+y=x^3+x^2-17097571x-27158310271\)	7.48.0-7.a.1.1, 10040.2.0.?, 70280.96.2.?	$[]$