Elliptic curves over $\Q$ of conductor 322

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (8 matches)

  Download displayed columns for results to

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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
322.a1	322a2	322.a	322a	$2$	$2$	\( 2 \cdot 7 \cdot 23 \)	\( 2 \cdot 7^{6} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$1288$	$12$	$0$	$0.333787286$	$1$		$6$	$96$	$0.153006$	$1494447319737/5411854$	$1.04645$	$4.85454$	$1$	$[1, -1, 0, -238, 1470]$	\(y^2+xy=x^3-x^2-238x+1470\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[(7, 7)]$	$1$
322.a2	322a1	322.a	322a	$2$	$2$	\( 2 \cdot 7 \cdot 23 \)	\( - 2^{2} \cdot 7^{3} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$1288$	$12$	$0$	$0.166893643$	$1$		$11$	$48$	$-0.193567$	$-60698457/725788$	$0.93405$	$3.63613$	$1$	$[1, -1, 0, -8, 44]$	\(y^2+xy=x^3-x^2-8x+44\)	2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.?	$[(-2, 8)]$	$1$
322.b1	322b2	322.b	322b	$2$	$2$	\( 2 \cdot 7 \cdot 23 \)	\( 2^{7} \cdot 7^{2} \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$56$	$12$	$0$	$1$	$1$		$0$	$224$	$0.520754$	$24553362849625/1755162752$	$0.94866$	$5.33927$	$1$	$[1, 1, 0, -605, 5117]$	\(y^2+xy=x^3+x^2-605x+5117\)	2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1	$[ ]$	$1$
322.b2	322b1	322.b	322b	$2$	$2$	\( 2 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.1	2B	$56$	$12$	$0$	$1$	$1$		$1$	$112$	$0.174180$	$4533086375/60669952$	$0.94157$	$4.38674$	$1$	$[1, 1, 0, 35, 381]$	\(y^2+xy=x^3+x^2+35x+381\)	2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1	$[ ]$	$1$
322.c1	322d2	322.c	322d	$2$	$2$	\( 2 \cdot 7 \cdot 23 \)	\( 2^{5} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$1288$	$12$	$0$	$0.117811841$	$1$		$12$	$80$	$0.038652$	$582810602977/829472$	$0.91997$	$4.69147$	$1$	$[1, 0, 0, -174, 868]$	\(y^2+xy=x^3-174x+868\)	2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.?	$[(6, 4)]$	$1$
322.c2	322d1	322.c	322d	$2$	$2$	\( 2 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.1	2B	$1288$	$12$	$0$	$0.235623683$	$1$		$13$	$40$	$-0.307921$	$304821217/164864$	$0.89657$	$3.38299$	$1$	$[1, 0, 0, -14, 4]$	\(y^2+xy=x^3-14x+4\)	2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.?	$[(0, 2)]$	$1$
322.d1	322c2	322.d	322c	$2$	$2$	\( 2 \cdot 7 \cdot 23 \)	\( 2 \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$1288$	$12$	$0$	$1$	$1$		$0$	$48$	$-0.374689$	$304821217/51842$	$0.85015$	$3.38299$	$1$	$[1, 1, 1, -14, -23]$	\(y^2+xy+y=x^3+x^2-14x-23\)	2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.?	$[ ]$	$1$
322.d2	322c1	322.d	322c	$2$	$2$	\( 2 \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 7 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$24$	$-0.721263$	$7189057/644$	$0.79155$	$2.73408$	$1$	$[1, 1, 1, -4, 1]$	\(y^2+xy+y=x^3+x^2-4x+1\)	2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.?	$[ ]$	$1$

  Download displayed columns for results to