Elliptic curves over $\Q$ of conductor 1264

Results (13 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
1264.a1	1264i2	1264.a	1264i	$2$	$2$	\( 2^{4} \cdot 79 \)	\( 2^{13} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$632$	$12$	$0$	$0.651199495$	$1$		$7$	$288$	$0.202681$	$81182737/12482$	$0.85973$	$3.71462$	$[0, 1, 0, -144, -620]$	\(y^2=x^3+x^2-144x-620\)	2.3.0.a.1, 8.6.0.b.1, 316.6.0.?, 632.12.0.?	$[(-6, 8)]$
1264.a2	1264i1	1264.a	1264i	$2$	$2$	\( 2^{4} \cdot 79 \)	\( - 2^{14} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$632$	$12$	$0$	$1.302398990$	$1$		$7$	$144$	$-0.143892$	$103823/316$	$0.80009$	$2.98477$	$[0, 1, 0, 16, -44]$	\(y^2=x^3+x^2+16x-44\)	2.3.0.a.1, 8.6.0.c.1, 158.6.0.?, 632.12.0.?	$[(4, 10)]$
1264.b1	1264a1	1264.b	1264a	$1$	$1$	\( 2^{4} \cdot 79 \)	\( 2^{10} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$0.483463932$	$1$		$4$	$128$	$-0.337239$	$470596/79$	$1.06719$	$2.79937$	$[0, -1, 0, -16, -16]$	\(y^2=x^3-x^2-16x-16\)	316.2.0.?	$[(-2, 2)]$
1264.c1	1264b3	1264.c	1264b	$3$	$9$	\( 2^{4} \cdot 79 \)	\( 2^{30} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$2844$	$144$	$3$	$1$	$1$		$0$	$2880$	$1.373005$	$15698803397448457/20709376$	$1.00146$	$6.38615$	$[0, -1, 0, -83464, 9308912]$	\(y^2=x^3-x^2-83464x+9308912\)	3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 36.24.0-9.a.1.1, 316.2.0.?, $\ldots$	$[]$
1264.c2	1264b2	1264.c	1264b	$3$	$9$	\( 2^{4} \cdot 79 \)	\( 2^{18} \cdot 79^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$2844$	$144$	$3$	$1$	$1$		$0$	$960$	$0.823699$	$59914169497/31554496$	$0.96798$	$4.63929$	$[0, -1, 0, -1304, 5872]$	\(y^2=x^3-x^2-1304x+5872\)	3.12.0.a.1, 12.24.0-3.a.1.1, 316.2.0.?, 474.24.0.?, 711.36.0.?, $\ldots$	$[]$
1264.c3	1264b1	1264.c	1264b	$3$	$9$	\( 2^{4} \cdot 79 \)	\( 2^{14} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$2844$	$144$	$3$	$1$	$1$		$0$	$320$	$0.274393$	$11134383337/316$	$0.90937$	$4.40366$	$[0, -1, 0, -744, -7568]$	\(y^2=x^3-x^2-744x-7568\)	3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 36.24.0-9.a.1.2, 316.2.0.?, $\ldots$	$[]$
1264.d1	1264h1	1264.d	1264h	$1$	$1$	\( 2^{4} \cdot 79 \)	\( 2^{12} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$0.669628977$	$1$		$4$	$128$	$-0.201894$	$912673/79$	$0.78348$	$3.08622$	$[0, 1, 0, -32, -76]$	\(y^2=x^3+x^2-32x-76\)	316.2.0.?	$[(-4, 2)]$
1264.e1	1264g1	1264.e	1264g	$1$	$1$	\( 2^{4} \cdot 79 \)	\( 2^{14} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$0.829612608$	$1$		$4$	$192$	$-0.077418$	$4826809/316$	$0.94063$	$3.31943$	$[0, 1, 0, -56, -172]$	\(y^2=x^3+x^2-56x-172\)	316.2.0.?	$[(-4, 2)]$
1264.f1	1264e2	1264.f	1264e	$2$	$5$	\( 2^{4} \cdot 79 \)	\( 2^{16} \cdot 79^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$1580$	$48$	$1$	$0.552253651$	$1$		$4$	$5760$	$1.835257$	$1413378216646643521/49232902384$	$1.01962$	$7.01625$	$[0, 1, 0, -374080, 87936052]$	\(y^2=x^3+x^2-374080x+87936052\)	5.12.0.a.2, 20.24.0-5.a.2.2, 316.2.0.?, 790.24.0.?, 1580.48.1.?	$[(-204, 12482)]$
1264.f2	1264e1	1264.f	1264e	$2$	$5$	\( 2^{4} \cdot 79 \)	\( 2^{32} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.1	5B.4.1	$1580$	$48$	$1$	$2.761268255$	$1$		$4$	$1152$	$1.030539$	$8194759433281/82837504$	$0.96131$	$5.32793$	$[0, 1, 0, -6720, -212428]$	\(y^2=x^3+x^2-6720x-212428\)	5.12.0.a.1, 20.24.0-5.a.1.2, 316.2.0.?, 790.24.0.?, 1580.48.1.?	$[(-44, 2)]$
1264.g1	1264f1	1264.g	1264f	$1$	$1$	\( 2^{4} \cdot 79 \)	\( 2^{8} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$0.813524337$	$1$		$2$	$144$	$-0.077311$	$2533446736/79$	$0.86232$	$3.80816$	$[0, 1, 0, -180, 872]$	\(y^2=x^3+x^2-180x+872\)	316.2.0.?	$[(7, 2)]$
1264.h1	1264d1	1264.h	1264d	$1$	$1$	\( 2^{4} \cdot 79 \)	\( 2^{20} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$1$	$1$		$0$	$768$	$0.226570$	$72511713/20224$	$0.89606$	$3.69881$	$[0, 0, 0, -139, -454]$	\(y^2=x^3-139x-454\)	316.2.0.?	$[]$
1264.i1	1264c1	1264.i	1264c	$1$	$1$	\( 2^{4} \cdot 79 \)	\( 2^{8} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$316$	$2$	$0$	$1$	$1$		$0$	$144$	$-0.482447$	$148176/79$	$0.72007$	$2.44347$	$[0, 0, 0, -7, 2]$	\(y^2=x^3-7x+2\)	316.2.0.?	$[]$