Elliptic curves over $\Q$ of conductor 874

Results (8 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
874.a1	874b1	874.a	874b	$1$	$1$	\( 2 \cdot 19 \cdot 23 \)	\( 2^{25} \cdot 19^{3} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3496$	$2$	$0$	$1$	$1$		$0$	$3600$	$1.231379$	$253733516886870441/5293446529024$	$0.99795$	$5.91681$	$[1, -1, 0, -13189, 575701]$	\(y^2+xy=x^3-x^2-13189x+575701\)	3496.2.0.?	$[]$
874.b1	874c1	874.b	874c	$1$	$1$	\( 2 \cdot 19 \cdot 23 \)	\( 2^{3} \cdot 19 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3496$	$2$	$0$	$0.333141449$	$1$		$4$	$96$	$-0.372243$	$6321363049/3496$	$0.98478$	$3.33190$	$[1, 1, 0, -38, 76]$	\(y^2+xy=x^3+x^2-38x+76\)	3496.2.0.?	$[(3, -1)]$
874.c1	874a1	874.c	874a	$1$	$1$	\( 2 \cdot 19 \cdot 23 \)	\( 2 \cdot 19^{3} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3496$	$2$	$0$	$1$	$1$		$0$	$144$	$-0.246942$	$781229961/315514$	$0.86151$	$3.02320$	$[1, -1, 0, -19, -13]$	\(y^2+xy=x^3-x^2-19x-13\)	3496.2.0.?	$[]$
874.d1	874e2	874.d	874e	$2$	$5$	\( 2 \cdot 19 \cdot 23 \)	\( 2 \cdot 19^{5} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$17480$	$48$	$1$	$11.39766331$	$1$		$0$	$2000$	$1.337564$	$318802492415278298881/113900554$	$0.99993$	$6.97040$	$[1, 1, 1, -142320, -20724857]$	\(y^2+xy+y=x^3+x^2-142320x-20724857\)	5.24.0-5.a.2.2, 3496.2.0.?, 17480.48.1.?	$[(-9623549/210, 1005550321/210)]$
874.d2	874e1	874.d	874e	$2$	$5$	\( 2 \cdot 19 \cdot 23 \)	\( 2^{5} \cdot 19 \cdot 23^{5} \)	$1$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$17480$	$48$	$1$	$2.279532663$	$1$		$6$	$400$	$0.532845$	$7623273198241/3913296544$	$0.94166$	$4.37943$	$[1, 1, 1, -410, 903]$	\(y^2+xy+y=x^3+x^2-410x+903\)	5.24.0-5.a.1.2, 3496.2.0.?, 17480.48.1.?	$[(-3, 47)]$
874.e1	874d1	874.e	874d	$1$	$1$	\( 2 \cdot 19 \cdot 23 \)	\( 2^{5} \cdot 19 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3496$	$2$	$0$	$0.242315259$	$1$		$6$	$80$	$-0.458179$	$192100033/13984$	$0.80482$	$2.81608$	$[1, 0, 0, -12, -16]$	\(y^2+xy=x^3-12x-16\)	3496.2.0.?	$[(-2, 2)]$
874.f1	874f2	874.f	874f	$2$	$3$	\( 2 \cdot 19 \cdot 23 \)	\( 2^{7} \cdot 19^{3} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$10488$	$16$	$0$	$1$	$1$		$0$	$4032$	$1.615206$	$29112011033527546515217/20192896$	$1.01470$	$7.63691$	$[1, 0, 0, -640889, -197533063]$	\(y^2+xy=x^3-640889x-197533063\)	3.8.0-3.a.1.1, 3496.2.0.?, 10488.16.0.?	$[]$
874.f2	874f1	874.f	874f	$2$	$3$	\( 2 \cdot 19 \cdot 23 \)	\( 2^{21} \cdot 19 \cdot 23^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$10488$	$16$	$0$	$1$	$1$		$2$	$1344$	$1.065899$	$55129288688387857/484804919296$	$0.96401$	$5.69142$	$[1, 0, 0, -7929, -270343]$	\(y^2+xy=x^3-7929x-270343\)	3.8.0-3.a.1.2, 3496.2.0.?, 10488.16.0.?	$[]$